The first five terms of geometric sequence can be computed with formula, such that:
`a_n = a_(n-1)*q`
`a_2 = a_1*q => a_2 = 2*(x/4) = x/2`
`a_3 = a_2*q => a_3 =x/2*x/4 = (x^2)/8`
`a_4 = a_3*q => a_4 =(x^2)/8*x/4 = (x^3)/32`
`a_5 = a_4*q => a_5 =(x^3)/32*x/4 = (x^4)/128`
Hence, evaluating the five terms of geometric sequence yields `a_1 =2, a_2 = x/2, a_3 = (x^2)/8, a_4 = (x^3)/32, a_5 = (x^4)/128.`
Montag and Faber were willing to risk their lives to enact change in the novel Fahrenheit 451. Montag sacrificed his job, his wife, and his sense of security when he decided to steal books and search for meaning in his life. The instant he killed Captain Beatty, he became an enemy of the state and a wanted fugitive. He risked his life fleeing from the Mechanical Hound and the police during his escape. In addition to being tried for possession of illegal books and murder, Montag would have been guilty of conspiracy for planting books in a firemen's house if he were caught. Fortunately, Montag escaped the city alive and was able to find meaning by joining a group of former professors and intellectuals.
Similar to Montag, Faber risks his life and freedom by aiding Montag in his search for meaning. Faber possessed a copy of the Bible and was aware that Montag was conspiring against the state. He also helps Montag escape by giving him his old clothes and directions to safety. Faber travels to St. Louis to meet with an old friend who owns a printing press. He plans on making copies of books which is highly illegal in Bradbury's dystopian society. Both men become enemies of the state and leave their old lives behind to enact change in society.
I don't think one would be possible without the other. Iago certainly crafts the lies and deceptions needed to make everything unravel, but if Othello had been a stronger person the plot would not have worked. It is a common theme in Shakespeare for villains to play on other characters' existing weaknesses.
For example, if Othello had a healthy relationship with Desdemona he would not have jumped to such rapid conclusions about her supposed affair with Cassio. He would have trusted her more and calmly approached her about his concerns. The fact that he believes Iago so easily suggests that Othello is a jealous, and perhaps even insecure person. A better-tempered man would have been more trusting of his lover.
Other characters in the play fall victim to similar weakness. For example, Iago would not have been able to manipulate Cassio so easily had he not already had such a weakness for drinking.
The characters are able to live happily with either their weaknesses or Iago's manipulations, but it is the combination that is so deadly.
There are a handful of symbols that reappear throughout Macbeth, but the following symbols are the most commonly found.
Will all great Neptune's ocean wash this blood / Clean from my hand? (MACBETH. II.ii.58-59)
Out, damned spot; out I say... who would have thought the old man to have so much blood in him? (LADY MACBETH. V.i.30-34)
Blood reappears throughout the play and often signifies guilt, shame or paranoia. Macbeth speaks of blood when he kills Duncan, wondering if Neptune's ocean can wash the blood clean from his hand. He is not literally asking for Neptune to rise and wash his hands, but rather for his sin to be forgiven. Lady Macbeth continues this relationship with the blood symbolism by frantically trying to scrub imaginary blood from her hands in the fifth act.
Fair is foul, and foul is fair; / Hover through the fog and filthy air. (WITCHES. I.i.12-13)
Come, thick night, / And pall thee in the dunnest smoke of hell, / That my keen knife see not the wound it makes, / Nor heaven peep through the blanket of the dark / To cry 'Hold, hold!' (LADY MACBETH. I.v.56-60)
The weather is mentioned from the very beginning of Macbeth and often is used to create a mood over the stage. The Witches all mention the weather in the first scene, describing how the weather must be right for the prophecies and deeds to occur. Night, specifically, is used to achieve things in Macbeth. Lady Macbeth frequently mentions night, wishing it to surround her and her husband so they may commit their acts.
Since the loop is frictionless, theere are only two forces acting on the block: Gravity and normal force. Gravity pulls the block downward, and the surface of the track pushes out perpendicular to the track.
The force of gravity on the block is fixed: mg. The direction of gravity is always downward.
The normal force will vary, however, as is necessary to keep the block from falling through the track. When the track is at an angle x with the ground, the force of gravity into the track will be mg cos x, and this will be exactly compensated by a normal force of mg cos x.
At the indicated point Q, the track appears to be vertical.
This means that x = pi/2, and thus cos x = 0; that is, the track does not push against the block at all, because the only force on the block is directly downward, parallel with the track.
Provided that the block has enough energy to reach that point at all (and from the diagram it looks as though it does), the only force acting on it at Q will be gravity, mg.
A cell is unable to produce all the molecules it needs to function properly. Similarly, during the metabolism, a number of by-products are released, which are useless for the cell and needs to be removed. Membrane transport of molecules is thus very important for a cell and is needed to allow entry of useful molecules, prevent access to harmful molecules and excrete useless metabolites. Not all the transport can take place on its own and may need transport proteins. These proteins are embedded in the cell membrane and are responsible for cross-membrane transport of a large number of useful molecules, at the expense of energy. Thus, they participate in the active transport of molecules and are necessary for cell survival.
If a drug inhibits the activity of transport proteins, active transport of large molecules, such as glucose, ions and amino acids, will stop. An absence of these molecules will simply kill the cell. Functioning without transport proteins is similar to trying to breathe with your nose and mouth clamped shut.
Hope this helps.
The digestive system is responsible for breaking down the foods that we eat into smaller pieces that can then be absorbed by the cells of our bodies and used for everyday functions.
An organ system, such as the digestive system, is composed of several organs. The esophagus and liver are two organs that aid in the digestive process.
The esophagus is a long tube that is found in the throat near the trachea. After being swallowed, food flows downward through the esophagus to your stomach. This is done by peristalsis, which is a series of small muscular contractions.
The liver aids in processing nutrients that are absorbed along the small intestine. The liver secretes bile. Bile increases the absorption of fats. Additionally, the liver helps to detoxify the body of harmful chemicals.
It is really an understatement to talk about how technology was an “aid” to the Industrial Revolution. Instead, it is probably more appropriate to say that technology made the Industrial Revolution. Let us look at how this is so, using the Industrial Revolution of the middle-to-late 1800s in the United States.
In this time period, the Industrial Revolution was driven by the production of steel. The production of steel was improved greatly by a technological breakthrough known as the Bessemer Process. This process made steel much more quickly, and therefore more cheaply, than had ever been possible before. The greater availability of steel, combined with advances in railroad technology, spurred the building of thousands of miles of railroads across the United States. These railroads helped drive the Industrial Revolution by connecting mines to factories and by connecting factories to markets. Now, the whole US was one large market, connected by railroad technology and the cheap steel made possible by the Bessemer Process.
In addition, other technologies helped railroads spread, driving the Industrial Revolution still more. One of these technologies was the telegraph. This technology made instantaneous long-distance communication possible. This allowed railroads to coordinate their activities across long distances. It also allowed businesses to communicate with one another. Still other technologies, like the electric light, the typewriter, and the telephone helped make it possible for big, industrial firms to come into being.
All of these technological advances drove the Industrial Revolution, making it appropriate for us to say that the technology actually made the Industrial Revolution, rather than just aiding it.
The 1957 movie Twelve Angry Men is the more powerful performance and better depicts the natures of the individual jurors and their biases.
In a review for this movie, the critics' consensus is recorded in this statement:
Sidney Lumet's feature debut is a superbly written, dramatically effective courtroom thriller that rightfully stands as a modern classic.
The main points that Reginald Rose focuses on are the bigotry of Juror No. 3 and the unconcern about the fate of a Hispanic boy, especially by Juror No. 7. From the beginning, it is only Juror No. 8 (played by Henry Fonda) who is truly concerned about taking his role as a juror seriously and giving a just verdict. There is verisimilitude in this situation because of the prevailing attitudes of many whites in 1957 who, while not necessarily bigoted, simply were not concerned much about minorities who were a small percentage of the population at that time. Also, the jurors would truly be surprised at Fonda's character not going along with them.
But, in the 1997 version, the credibility of eleven jurors voting guilty so swiftly is very questionable because the jury is composed of, not all white men as it would truly be given the setting, but African-Americans and at least one Hispanic. It seems to cast a shadow on the verisimilitude of this film that the minority jurors would not have some doubts about voting guilty on the first vote or pay closer attention to the details of the case. Besides this, the movie is not realistic since in 1954 when Rose wrote his play, a play about contemporary times, only white men could serve on juries.
Not only does the presence of multicultural jurors bring into question an aspect of verisimilitude of the 1997 film, but it weakens the strength of the drama's characterization, as well as its overall impact. Because the jury is composed of all white men before political correctness, the dialogue is much more powerful and realistic and, therefore, more believable in the 1957 version.
One of the major themes of Roald Dahl’s “Lamb to the Slaughter” is that appearances can be deceiving. The story opens on what appears to be a scene of domestic bliss. Mary Maloney is six months pregnant and eagerly awaits her husband’s return from work.
"Now and again she would glance up at the clock, but without anxiety, merely to please herself with the thought that each minute gone by made it nearer the time when he would come.”
The appearance of a happy home is utterly shattered, however, when Mary’s husband abruptly announces that he wants a divorce. The reader instantly sympathizes with Mary, who appears to have been too blindly devoted to her Patrick to realize what was coming. Mary’s initial reaction is one of utter shock. Seemingly unable to even process what her husband has told her, she begins preparations for dinner, absentmindedly grabbing a leg of lamb from the freezer. When her husband rudely tells her not to bother with dinner, Mary snaps and clubs him over the head with the frozen leg of lamb.
“At that point, Mary Maloney simply walked up behind him and without any pause she swung the big frozen leg of lamb high in the air and brought it down as hard as she could on the back of his head."
To her husband, Mary Maloney probably seemed incapable of standing up for herself, and his belief in her devotion and weakness led him to drastically underestimate what she was capable of. Though she initially appears to be the metaphorical “lamb” of the title, she forcefully reverses roles and transforms Patrick into the unsuspecting victim.
The themes of appearance and deception are further explored as Mary attempts to get away with the murder. After quickly realizing that she needs an alibi, she attempts to compose herself before going out.
"Then she washed her hands and ran upstairs to the bedroom. She sat down before the mirror, tidied her hair, touched up her lips and face. She tried a smile. It came out rather peculiar. She tried again."
It’s clear that Mary understands her femininity to be her greatest asset in avoiding suspicion. Though her docile and cheerful disposition seemed to come naturally before, we see her deliberately practice it in the mirror. Her carefully crafted performance is a success and she is able to establish an alibi at the grocery store. She appears to all the world as her normal devoted self, even speaking to a clerk about what she will cook her husband for dinner.
"No, I’ve got meat, thanks. I got a nice leg of lamb, from the freezer." "Oh." "I don’t much like cooking it frozen, Sam, but I’m taking a chance on it this time. You think it’ll be all right?"
This scene is full of dramatic irony as Mary casually discusses cooking what the reader knows to be her murder weapon. Her ability to nonchalantly speak about it further illustrates the depth and skill of her deception. Her crafted persona continues to be of use as she convincingly plays a devastated wife to Patrick’s fellow police officers. The police quickly dismiss her as a suspect, in part because of her alibi and in part because she does not conform to their expectations of a cold-blooded killer. As she fusses over them, they discuss the peculiarities of the case, completely blind to the real identity of the murderer. In fact, their discussion betrays their unconscious assumption of a male suspect and reveals that suspicion of a woman doesn’t come naturally to them.
"It's the old story," he said. "Get the weapon, and you've got the man."
Ultimately, we see that Mary has successfully used her femininity to craft a false narrative. She takes care to present herself as innocent and, thus, is able to deceive everyone. Though it is easy to say that it was Mary’s cunning and deviousness that allowed her to get away with the crime, it’s important to note that she only succeeds because the people around her are so blinded by superficial appearances.
Electrical conductors contain charges that are free-moving. Acids are proton (H+), or hydronium ion (H3O+), donors. Protons are charged. Thus, acids are able to conduct electricity.
When an acid is dissolved in water, it undergoes an equilibrium reaction. This reaction can be represented as follows:
HA + H2O ↔ H3O+ + A-
The amount of ionization of an acid has to do with the stability of an acidic compound and its likelihood to dissociate. The amount of dissociation of protons within an acid has to do with the polarity of the covalent bond that connects hydrogen to another atom (the H-A bond). Polarity has to do with the electronegativity differences between the atoms that share a covalent bond. The more electronegative the conjugate base (A-) within an acid, the more polar the H-A bond, the more likely the hydrogen is to dissociate, and the stronger the acid.
Stronger acids dissociate more easily. Therefore, stronger acids produce more ions. Thus, stronger acids are better conductors of electricity than are weak acids.
Great question! In the book My Side of the Mountain by Jean Craighead George, Sam meets a man named Bando. Although Sam has spent much time alone, he enjoys Bando’s company. Thus, when Bando leaves, Sam has a mixed reaction.
Originally, Sam appears lonely. He has grown accustomed to spending time with Bando. Sam tries to spend every minute of the day busy. For example, he works tirelessly on sewing moccasins. As the text reveals:
“I was so lonely that I kept sewing on my moccasins to keep myself busy.”
However, after being alone again for a few days, he feels reunited with his animal companions. His falcon communicates with Sam. Also, “Jessie Coon James” (the raccoon) and “The Baron” (the weasel) become more connected to Sam again. Consequently, Sam seems less lonely and more content. As the text demonstrates:
“I had the feeling we were all back together again.”
Thus, after Bando departs, Sam initially feels isolated and lonely. However, after a few days, he feels more content and connected with his animal companions again.
Isabel is sweet. She's a hard worker. She has an evil, female task master. She dreams of being free some day. She sounds a lot like Cinderella, doesn't she?
In addition to the above traits, Isabel is tough. Madam Lockton is flat out mean to her. And I'm not talking about just having a lot of chores to do (although Madam Lockton does give Isabel a big workload). No, I'm specifically thinking about the time that Madam Lockton had Isabel branded. That's something that people do to animals. The incident doesn't break Isabel though. If anything, it strengthens her resolve.
That brings up two more characteristics. Isabel is brave and determined. Most of the story is about her trying to save herself and her sister Ruth. Isabel is willing to do just about anything in order to gain her freedom. That includes spying for Patriots, which would mean death if caught.
Isabel is also incredibly loyal to her sister Ruth. But Isabel's loyalty doesn't end with family. She absolutely feels the need to pay back any debts of gratitude with a similar act of kindness. An example of that would be when Isabel risks her own life to save Lady Seymour from her burning house, because earlier Lady Seymour displayed kindness to Isabel.
Under monopolistic competition, there are a large number of companies in the market, but the products each one sells are a little bit different. They aren't completely different---they are substitutes---but they are also not exactly interchangeable---they are not perfect substitutes.
Restaurants are a good example; any restaurant will serve you food, and if one restaurant gets too expensive you can change to another; but some restaurants are better than others, and you'll be disappointed if your favorite restaurant gets too expensive and you have to switch.
Monopolistic competition results in higher prices, higher profits, and lower quantity sold than would occur under perfect competition, but lower prices, lower profits, and higher quantity sold than would occur under monopoly. If companies can join the market, they can also make a monopolistic competition more competitive over time, eventually driving it toward perfect competition in the long run.
Under monopsony, there are many companies selling the good, but there is only one entity buying it. As a result, the buyer has the power to set prices.
Government contracts are an example of monopsony. If you want to build F-16s, the only place you're allowed to sell them to is the US military. As a result, the US military gets to set the price at which they will buy those F-16s.
Monopsony results in lower prices and lower profits than even perfect competition; it also results in lower quantity sold, which can be a bit counter-intuitive since both monopoly and monopsony result in reduced quantity sold even though one raises prices and one lowers them.
Finally, there is duopoly, in which there are only two companies selling the good. A complex game emerges, in which each company must strategize about what their competitor will do in order to set their next move.
Commercial airliners are an example of duopoly; Boeing and Airbus together control almost the entire market.
Many different outcomes are possible under duopoly.
If the two companies can manage to collude, they will coordinate their prices and essentially act as two shareholders of the same monopoly. This is usually illegal if you do it outright; but there are ways of being more subtle. One way is to make a subtle but credible threat that if they lower their prices, so will you, and as a result of the price war you will both lose out. If the threat is credible enough, both companies will keep offering the high price and act as a monopoly.
Alternatively, the threat could be completely non-credible and the two companies could compete as fiercely as possible, driving the price down to the same as it would be under perfect competition. This is called Bertrand competition.
There is also a third possibility, which might occur for example if the companies are competitive, but work in capital-intensive industries where it is costly to change the quantity you produce in a short time. An intermediate state can emerge, where each company basically takes the other company's level of production as fixed and then sets their own to monopolize their share of the market. The result is a state called Cournot competition, and, similar to monopolistic competition, its effects are intermediate between monopoly and perfect competition.
Any answer to this depends on whether we are focusing on political or philosophical discourse, and whether we are using the terms as political labels or mere descriptors. Generally, in current discourse ‘Liberal’ is used as a political term whereas ‘idealist’ is more a philosophical term.
Liberalism is both a political movement and a philosophical alignment, but we typically use it as a political designation in modern Western discourse. So, a liberal is a person who follows the so-called left spectrum of the political continuum. A liberal usually believes in an active government that works for the benefit of the people.
An idealist is a person who believes in a certain set of ideals (understanding of what is perfect) and who tries to maintain strict adherence to those. Idealists are often perceived as unrealistic, or at least impractical, in that their ideals may not fit the actual reality of the world.
A liberal may indeed by an idealist, but liberals may also have a more utilitarian, practical focus. Further, a conservative (someone on the so-called right of the political continuum) may be an idealist in that he/she adheres to a set of ideals rather than focusing on more practical concerns. Thus, we see that an idealist in the philosophical sense is not someone of a particular political bent, but rather someone who puts his/her ideals before other considerations.
To complicate things, a person may be an idealist philosophically but not in practical application. For example, Thomas Jefferson’s writing show a strong idealistic bent, but his actual behavior, both in his personal life and his political life, frequently did not adhere to his expressed ideology.
In current political discourse, we often seem to use the term ‘idealist’ to mean someone, usually a liberal, who adheres to his/her political beliefs strictly and uncompromisingly. Further, ‘idealist’ as a political label is often conflated with ‘utopian’, and the term has even taken on a somewhat pejorative slant with respect to politics.
The story is set in rural Mississippi. Phoenix Jackson is making the journey to Natchez to get medicine for her grandson. Note that although it is in Mississippi, a typically warm to hot climate, it is a December morning and the ground is frozen. This may be fortuitous in that it is not an extremely hot day. However, it may be more difficult for her to travel in colder weather since she is not used to it.
The "worn path" is worn because Phoenix has consistently made this journey. But it is still a difficult one because it is made through the forest. In the interim between this and the previous trip, the forest may have grown over the path in some spots, making it more difficult each time. Just as the mythical phoenix rises again and again from its ashes, Phoenix Jackson must make the journey again and again. In this repeating cycle, she must also wear the path down again where the forest has overgrown it.
The setting in this story is everything. Consider the title. Although it is a "worn" path, it still presents plenty of obstacles for the aging Phoenix. She must go up hills. Her dress gets caught on a bush. She must cross a log that acts as a bridge over a creek. She must get through a barbed wire fence, get out of a ditch, and negotiate a racist hunter. The setting is one extended obstacle course. It shows the lengths she must go through to get the medicine. Her destination is "shining" with bells ringing. The destination is a shining, glimmering goal. Compare this with the wooded, obstacle-filled path.
When Mrs. Kathleen Drover discovered the mysterious letter on the table in her hallway, she did not know who it was from or what it was about. She saw that the letter was "addressed to her." The letter was short. It addressed her as Kathleen, rather than Mrs. Drover. This showed a sense of familiarity at the very beginning of the letter. The letter itself started off by reminding her that this very same day was their anniversary.
At this point in the story, the reader does not know who wrote the letter. The reader does not know what the letter writer is referring to by "anniversary."
The letter writer noted that the years had passed by both "slowly and fast." The writer stated that nothing had changed and that they were going to "rely upon [Mrs. Drover] to keep [her] promise." The letter writer went on to state his or her disappointment that Mrs. Drover left London with her family, but also their pleasure that she was back in time. The writer of the letter then ended it by stating that Mrs. Drover "may expect [them], therefore, at the hour arranged." The letter was signed from "K." Mrs. Drover read that the letter was dated with today's date.
By the end of the letter, the reader still knows almost nothing about the letter writer. The reader does not know if the writer is male or female. The reader later finds out that the letter is supposed to be from Mrs. Drover's former fiancé.
In Harper Lee's To Kill a Mockingbird, Scout demonstrates a willingness to see the good in people, like her father, but, being young, primarily sees people she doesn't understand in a negative light. However, her perspective of people improves as she grows older.
One example of a person in her community who Scout views in a negative light at first is Calpurnia. Based on Scout's descriptions of Calpurnia, we can clearly tell that Scout dislikes Calpurnia early in the novel though Scout's sentiments change the more she gets to know Calpurnia. Scout uses the description, "She was all angles and bones," to paint Calpurnia as being dislikable and unattractive. Scout also relays that she and Calpurnia were constantly quarreling, because Calpurnia was always reprimanding Scout for not behaving as well as Jem and ordering her to do things she didn't want to do such as come home when she "wasn't ready to come" (Ch. 1). Scout further portrays just how much she dislikes Calpurnia when she states, "I had felt her tyrannical presence as long as I could remember" (Ch. 1). More importantly, Scout does not have a genuine reason for disliking Calpurnia; Scout only dislikes Calpurnia because she does not yet truly understand Calpurnia and feels Calpurnia hinders her from doing what she wants to do. Yet, as the book progresses, Scout's relationship with Calpurnia grows stronger.
Just as she dislikes Calpurnia when she is younger, Scout equally dislikes other characters in her neighborhood she doesn't understand such as her first-grade teacher, Miss Caroline, who reprimanded Scout on her first-day of school for being a smart aleck; Arthur (Boo) Radley, whom she is afraid of due to rumors and myths; and Mrs. Dubose, who antagonizes Scout and her brother each time they pass Mrs. Dubose's house. Yet, as Scout matures, she learns acceptance and appreciation, lessons that change her perspective of other people.
When to the moment I shall say,/ “Linger awhile! so fair thou art!”/ Then mayst thou fetter me straightway,/ Then to the abyss will I depart!
In Goethe's masterpiece, Faust's damning pact with Mephistopheles is what dooms his relationship with Gretchen. In his newly youthful guise (courtesy of the witch), he can now taste the sensual pleasures of the world to his heart's content; Gretchen just happens to be one of those pleasures. She is, by all accounts, a noble and faithful daughter to a widowed mother. Innocent of guile and bereft of her father and little sister at a young age, she is housekeeper of the home she shares with her mother.
Faust is immediately smitten when he sees Gretchen, or rather, he finds his lust inflamed by the sight of her. When Faust and Gretchen part in the garden, without any promise of the consummation of Faust's desires, Mephistopheles goads him to distraction by intentionally weaving sexual imagery into his sly monologue. He tells Faust that Gretchen will be left 'love-sick evermore' by Faust's lack of masculine fortitude in procuring the sensual experience both of them desire. At this point, Mephistopheles just wants Faust to bed Gretchen so that he can win the pact.
She loves thee with an all-devouring flame./ First came thy passion with o’erpowering rush,/Like mountain torrent, swollen by the melted snow;/ Full in her heart didst pour the sudden gush,/Now has thy brooklet ceased to flow./
As to whether Faust really loves Gretchen, the evidence is to the contrary. Yes, he is fascinated by Gretchen's goodness and innocence; that all her positive attributes are enshrined in a visually attractive package doesn't hurt either. But we must not forget Faust's original desire for self-actualization or self-fulfillment; this is what originally drove him to make a pact with Mephistopheles. His desire to slake his sexual appetite is a microcosmic part of that all-pervading desire. He is searching for meaning; he hasn't found it yet in Part 1, where most of Gretchen's interaction with Faust is delineated. If you read Faust' conversation with Gretchen regarding faith in God, you will see that Faust's present focus is not so much cerebral as it is visceral. He wants to feel; he doesn't want to think about the consequences of bedding a nubile, young woman.
Then call it, what thou wilt,/— Call it Bliss! Heart! Love! God!/ I have no name for it!/ ’Tis feeling all;/
So, we find that, after impregnating Gretchen and killing Gretchen's brother, Valentine, in a duel, Faust escapes to indulge in the macabrely decadent pleasures afforded at the Witches Celebration on Walpurgis Night. He leaves Gretchen to face the aftermath of a night of sensual pleasure on her own, agonizing in the cathedral about her sins and grieving over her own brother's death. Faust doesn't instinctively set out to abandon Gretchen, but he doesn't plan for a future together with her either. So, on this point alone, his love (if it can be called that) for Gretchen is superficial at best, and gratuitous at worst.
His conscience is only pricked when he realizes that Gretchen is in prison for her part in drowning their child. He tries to pin the blame on Mephistopheles for Gretchen's plight, but Mephistopheles will have none of it. He tells Faust that all responsibility really lies with him. Meanwhile, Faust begs Gretchen to leave the prison with him, but Gretchen chooses not to do so. She grieves that the day of judgment, which should have been the day of her 'bridal,' has come for her. Helpless, Faust has to leave Gretchen to her fate. Gretchen's willingness to face judgment for her sins ensures her salvation. It is from this experience that Faust begins to see that sensual gratification alone will not ensure his self-fulfillment.
There are several main themes in To Kill a Mockingbird, but it is safe to say that if Calpurnia were the narrator instead of Scout, that each of the themes would still be significant, yet told from a completely different perspective. Let's take a look at one of the most prominent themes, racism and tolerance.
In the book, racism is portrayed as the view of ignorant and often hypocritical people. Tolerance is portrayed as something that educated and fair people practice. Yet, it is important to note that although the Finch family is more forward- and fair-thinking than many in Maycomb, the book itself is still told from a white perspective.
If Calpurnia were to narrate this story, it would be told from the Black perspective. In the South of the 1930s, this would have been a far different perspective than even that of the forward-thinking whites. The events shared would, no doubt, have been completely different for large parts of the book. In the book we hear Scout's story about moving from innocence to knowledge, but Calpurnia is an adult whose innocence was lost long ago. Much of Scout's shock and confusion at racist behavior may be met with anger and frustration and even resignation by an adult, Black Calpurnia. Therefore, the theme of racism and tolerance would be told from the perspective of a victim of that racism rather than someone who was not.
We get a small snapshot about how Calpurnia did feel all of those years when we read Harper Lee's second book, Go Set a Watchman, which looks at Scout's adult life. In that book she goes back to visit a now retired Calpurnia and finds her to have a very different attitude than the one we see in Mockingbird.
Macbeth makes this statement to his wife after he has hired men to murder Banquo and his son, Fleance. Macbeth tells Lady Macbeth that his mind is "full of scorpions" because Banquo and his son are still alive and a threat to him. He mentions too that Banquo and Fleance are vulnerable to murder and that soon "a deed of dreadful note" will occur. Lady Macbeth asks him what he plans to do. It is here that he says "Be innocent of the knowledge, dearest chuck/Till thou applaud the deed." What he means is, it's better that you don't know what is going to happen, my dear, until after it has happened--and then, he says, you can celebrate.
Macbeth might as well have told her his plans, as it must be obvious to her that he is, one way or another, going to commit more murder. He tells her not to look startled, for evil deeds lead to more evil deeds. But by not informing her exactly how the murders are going to happen, he leaves with deniability. He also tries to protect her from his own guilt, because he knows Banquo and Fleance will be killed before she can do anything about it. At the same time, he has tipped her off so that she will know who is responsible for the deaths. The irony, of course, is, that Fleance's murder will be botched, so there won't be much to applaud. At this point, as this speech to his wife indicates, Macbeth has perhaps gotten overconfident.
In the first stave of A Christmas Carol, the ghost of Jacob Marley visits Scrooge. The purpose of his visit is to warn Scrooge of some impending visitors, as Marley explains,
"You will be haunted,'' resumed the Ghost, "by Three Spirits.''
According to Marley, the first spirit will appear the next night "when the bell tolls one." The second will come at the same time on the next evening. The evening after that, the third spirit will visit just after the clock strikes twelve.
The purpose of these visits is to ensure Scrooge does not experience the same fate as Marley, who is now carrying out "penance" in the afterlife. It is to demonstrate to Scrooge that the business of "charity, mercy, forbearance, and benevolence" are far more important than the financial business conducted in the counting-house. In other words, the visits seek to reform Scrooge's character before it is too late and he is forced to wander the world in the afterlife, just like Marley must.
Bob Ewell gets his income from relief checks.
The Ewell’s get public assistance, or welfare. None of them seems to ever have had a job, and they eschew education. The children go to school for one day a year and stay home the rest of the time. Atticus explains to Scout that when it comes to the Ewells, the law just looks the other way.
Atticus said the Ewells had been the disgrace of Maycomb for three generations. None of them had done an honest day’s work in his recollection. …They were people, but they lived like animals. (Ch. 3)
These are pretty strong words for Atticus Finch, who is usually very understanding of other people and not judgmental. He doesn’t approve of the way Bob Ewell treats his children. His wife is long gone, and no one knows how many children he has.
The Ewells live near the dump and subsist on hunting and relief checks (welfare money). Atticus tells Scout that the reason Bob Ewell is allowed to hunt out of season is because everyone is aware that his children are starving.
“It’s against the law, all right,” said my father, “and it’s certainly bad, but when a man spends his relief checks on green whiskey his children have a way of crying from hunger pains. I don’t know of any landowner around here who begrudges those children any game their father can hit.” (Ch. 3)
The Ewells' situation becomes everyone’s business when Mayella Ewell accuses Tom Robinson of rape. The Ewells may be on the bottom rungs of Maycomb’s social ladder, but they are still white, and Tom Robinson is black. Therefore the case becomes big news, and the Ewells and their habits enter the spotlight.
Atticus sets out to prove during the trial that Bob Ewell was abusive to Mayella, and that he is the one who beat her up and not Tom Robinson. He establishes that Mayella is lonely and asked Tom Robinson for help because he was a handsome and approachable man who wouldn't be rude to a white lady. Bob Ewell is embarrassed by the whole thing, and threatens Atticus and then tries to attack his children.
Farid is clearly from a poor family and has had a very hard life. He fought against the Soviets and has lost his youngest two daughters in a land mine explosion, as well as some toes from his feet and on his left hand, three fingers. When Amir says,"I feel like a tourist in my own country" (231), Farid unleashes his legitimate class resentments upon Amir.
He paints a picture of Amir having been raised in a large house with a beautiful garden, his father driving an American vehicle and his parents throwing fancy parties. He says that Amir's family had servants, "probably Hazaras" (232). He points to an old man dressed in "ragged clothes" (232), who is bowed down by a sack filled with scrub grass, and he says, "That's the real Afghanistan, Agha sahib" (232). This is the Afghanistan that Farid has had to live in, by virtue of the level of society into which he was born, one that Amir had no clue about, having been raised as he was, thus a tourist in his own country. Farid is saying that Amir's privileged existence has protected him from the real Afghanistan.
The novel makes clear that there are major class, religious, and ethnic divisions within Afghanistan, and this scene is just one example of these divisions. What Amir finally learns, by the end of the book, is that what gives a person true worth is not money, religion, or ethnicity, but being a good person. Sadly, in all societies, while what is valued may differ dramatically, we tend to judge people much as Amir has done, until he makes his journey and becomes a better person.
Let x be the length of the shadow when the sun's angle of elevation is 60 degrees. Then the length of the shadow when the sun's angle of elevation is 30 degrees will be x+50.
We assume that the tree is vertical so the base of the tree forms a right angle with the presumable level ground. The model then is a right triangle with one leg being h, the height of the tree. When the acute angle along the ground is 30 degrees the length of the remaining side is x+50; when 60 degrees it is 50.
Now in a 30-60-90 right triangle, the ratio of the legs of the triangle are sqrt(3) or its reciprocal.
When the sun's angle of elevation is 60 degrees we have the length of the shadow as h/sqrt(3) so h=sqrt(3)*x.
When the sun's angle of elevation is 30 degrees the length of the shadow is h*sqrt(3) so 2x+50=h*sqrt(3) or h=(x+50)/sqrt(30)
Substituting we get sqrt(3)x=(x+50)/sqrt(3)
3x=x+50
x=25
So the shadow's length is 25 feet when the sun is at 60 degrees, and 75 feet when the sun is at 30 degrees.
So the height of the tree is 25*sqrt(3) which is approximately 43.3m.
* If you know the tangent ratio:
tan(30)=h/(x+50) ==> h=tan(30)(x+50)
tan(60)=h/x ==> h=tan(60)*x
So tan(30)(x+50)=x*tan(60)
And (x+50)/sqrt(3)=sqrt(3)*x as before.
Hydronium ions (H30+) can form in a reversible chemical reaction involving water molecules.
Water (H20) is a polar molecule because the oxygen side of the molecule is negative and each hydrogen atom is positive. Because of the polar covalent bonds in water, the shared electrons spend more time near the oxygen atom compared to the hydrogen atoms which makes the v-shaped molecule polar.
This property causes molecules of water to be attracted to other molecules of water. The slightly negative oxygen in one water molecule is attracted to the slightly positive hydrogen of a different water molecule. Hydrogen bonds between molecules form and break between different water molecules and reform again.
Sometimes, a hydrogen atom in a hydrogen bond between two molecules of water shifts from one molecule and moves toward the other. When the hydrogen atom shifts, it leaves an electron behind which causes it to become a hydrogen ion (H+) which has a positive charge. The water molecule that lost its proton becomes slightly negative and is called a hydroxide ion (OH-), while the water molecule which gains the proton becomes slightly positive and is now known as a hydronium ion (H30+). This reaction is reversible because water molecules can disassociate as well as reform.
I have provided a link which shows the reversible chemical reaction I have described in the answer above.
Friar Laurence is essential to the plot, and it is convenient that he is able to perform marriages without the need for licenses, witnesses, blood tests, or any other modern formalities. His consent to marry Romeo to Juliet is a high hurdle that requires a suspension of disbelief on the part of Shakespeare's audience. The friar is being asked to marry Romeo in secret to a thirteen-year-old girl who belongs to the house of the Romeo's family's hated enemy the Capulets. Later this audacious friar will give Juliet a potion which will make her appear to be dead and cause her to be placed in an open tomb. His well-meaning but irresponsible interference will result in the deaths of Romeo, Juliet, and Paris.
In Act 2, Scene 3, Friar Laurence is easily persuaded to perform the marriage Romeo requests. The friar rationalizes that the marriage could be the catalyst that would bring about a reconciliation between the houses of Montague and Capulet after many centuries of hatred and conflict. He tells Romeo:
But come, young waverer, come go with me.
In one respect I'll thy assistant be,
For this alliance may so happy prove
To turn your households' rancor to pure love.
An anarchist is someone who advocates for the philosophy of anarchism. Of course, a person may simply believe in anarchism as a valuable social model, but anarchism is really something that has to be enacted.
Anarchism is the belief that government is unnecessary or even harmful to the populace. An anarchist may believe in and advocate for the abolition of government in favor of self-governed societies. Many anarchists believe that social ills like crime and poverty are the result of hierarchical, governed societies and that abolishing government would allow man to return to a natural state of peace and equality.
Moderate anarchists may seek to operate "within the system" by voting or pushing for changes in policy that decrease the influence government has over the people. More radical anarchists may desire to obliterate government entities violently, considering such actions a service to the people. Luckily, most anarchists of this type are unsuccessful.
Lyddie makes several decisions in chapter 14, so I am not one hundred percent sure which decision that you are asking about.
One decision that Lyddie makes is the decision to not sign the petition for improved work conditions. She is afraid of getting blacklisted from the factories.
In chapter 14, Lyddie is now the factory's best worker. She is working multiple looms at the same time. Because of her proficiency, Lyddie is assigned to train Brigid, a new factory girl. Lyddie thinks that Brigid is stupid and incapable, and by the end of the first day, Lyddie decides to tell her boss that Brigid is ready for her own loom. Lyddie does that because she is frustrated with teaching the new girl.
By the end of the first day, the girl was far from ready to operate her own machine, but Lyddie had run out of patience. She told Mr. Marsden to assign the girl a loom next to her own.
The last thing that Lyddie decides to do is send a dollar home to her mother to help pay off the family debt.
The magnitude of a vector `u = a*i + b*j,` such that:
`|u| = sqrt(a^2+b^2)`
Since the problem provides the magnitude `|v| = 3` , yields:
`3 = sqrt(a^2+b^2)`
The direction angle of the vector can be found using the formula, such that:
`tan theta = b/a`
Since the problem provides the direction angle `theta = 0^o` , yields:
`tan 0^o = b/a => b/a = 0 => b = 0, a!=0`
Replacing 0 for b in equation `3 = sqrt(a^2+b^2)` yields:
`3 = sqrt(a^2+0^2) => 9 = a^2 => a = +-3`
Hence, the component form of the vector v can be `<-3,0>` or` <3,0>.`
The Knights of Labor and the American Federation of Labor were two major labor unions in the late 1800s. Both unions formed to represent workers. Workers had been treated poorly for many years. With the rise of factories, individual workers found it virtually impossible to improve working conditions, to increase pay, and to shorten the length of the workday. Only if workers acted collectively did they have a better chance of improving their overall working situation. Both of these unions tried to accomplish these goals for the workers they represented. They also both used the strike as a way to accomplish their goals.
The Knight of Labor had several goals. The Knights of Labor was a union that represented skilled workers and unskilled workers. They wanted an eight-hour workday. They worked for equal pay for women. They also supported using arbitration to settle disputes and supported ending the practice of using child labor. The Knights of Labor had many strikes. Unfortunately, some of these strikes had violence associated with them. This gave a general impression that unions were connected to anarchists and revolutionaries. While the Knights of Labor had some success, the events at the Haymarket Riot in Chicago in 1886 led to their downfall. Violence and death occurred as a result of the riot. The Knights of Labor also focused on improving social conditions such as equal pay for women. This concept was considered quite extreme for this time period.
The American Federation of Labor also strived to help workers. The American Federation of Labor was a union for skilled workers. This union focused on the basic issues affecting workers. This union wanted unions to be recognized by businesses as the agent that represented the workers in their companies. They wanted to use collective bargaining to settle contracts. They support the closed shop, which meant a company could hire only union members. They also wanted an eight-hour day. The American Federation of Labor shied away from dealing with major social issues.
Both unions tried to help workers improve their working conditions.
In the third chapter of Harper Lee's To Kill a Mockingbird, Scout is very upset about her miserable first day of school. After explaining to her father what happened, she begs him to allow her to never go to school again. When he replies that she must go to school because it is the law, she attempts to argue her position by referencing the boy in her class named Burris Ewell. It is through Atticus's description of the Ewells in response to Scout's argument that we learn exactly what Burris's father, Bob Ewell, does for a living.
Scout argues that she does not have to go to school because folks like Burris Ewell only go to school for one day of the year then leave. Scout explains that Burris only goes to school one day out of the year because the "truant lady reckons she's carried out the law when she gets his name on the roll"; therefore, Scout argues she could do the same. But Atticus explains that the laws are bent for the Ewells, who choose to live more like animals; therefore, it's ridiculous to try and force the Ewells into school when they clearly have no wish to improve themselves. Scout narrates the following description of the Ewells given by her father:
[T]he Ewells had been the disgrace of Maycomb for three generations. None of them had done an honest day's work in his recollection. (Ch. 3)
Based on this description, we can easily see exactly what Bob Ewell does to make money--absolutely nothing.
In this same chapter, we also learn from Atticus that the Ewells' only source of income comes from relief checks that Ewell spends mostly on "green whiskey."
Much later, after the trial, Scout informs the reader that Bob Ewell was given a job through President Roosevelt's Works Progress Administration (WPA) but lost it "in a matter of days" (Ch. 27). She further states that "he was the only man [she] ever heard of who was fired from the WPA for laziness" (Ch. 27). Through this description, we again know that, throughout the book, Ewell does absolutely nothing to make money other than collect his relief checks.
Having been visited by all three ghosts (four including Marley) and having seen horrible visions, Scrooge wakes up Christmas morning. Grateful for the chance to change things, Scrooge can barely contain himself as he shouts "Merry Christmas!" through the streets. He apologizes to a man he had previously been rude to, and sends a Christmas turkey to the Cratchits' house.
Happily, this change in attitude is not short-lived. He ultimately offers Bob Cratchit a large raise and offers to financially assist his family (especially Tiny Tim, Bob's crippled young son). He does so, and becomes a benefactor and father figure for Tim. People in the town wonder about his sudden change of heart, but Scrooge ends the story happier than ever.
The National War Labor Board was established as part of the wartime bureaucracy in the United States twice, in World Wars I and II. Its purpose in each war was the same--to avoid major labor disputes that might lead to work stoppages or strikes in industries that were crucial to the war effort. During each war, and especially World War II, the federal government took a central role in planning and organizing the production of munitions, military vehicles, supplies, and other war materiel that dominated the American economy. Facilities that had produced civilian consumer goods or even some heavy industrial goods switched to turning out military equipment. While workers saw their wages increase during this period, labor disputes still broke out over working conditions, production quotas, and many other things. It was the job of the War Labor Board to intervene in these disputes, acting as an arbitrator whose decisions were legally binding. This was one of many examples of the ways the federal government enlarged its own powers to meet the challenges of the war.
Close to the beginning of Kate Chopin's story "Desiree's Baby," there is a flashback that explains Desiree's background and how Armand fell in love with her. Desiree was a foundling; the Valmondes had adopted her after finding her along the roadside, "purposely left by a party of Texans." Desiree grew up as a neighbor to Armand, but he never took much notice of her until he saw her at the age of 18 standing against a pillar at her home. At that point he fell madly in love with her and decided he wanted to marry her. Although not specifically stated, it appears that Desiree's father, Monsieur Valmonde, was the one who reminded Armand that "she was nameless." Presumably when Armand approached Desiree's father to ask for her hand in marriage, Desiree's father gave him a warning. He made sure Armand knew that Desiree had been adopted and therefore no one knew about her ancestry.
Why should this matter? In the South at the time, laws and societal practices took one's race into account. If a person had black heritage, he or she would be subjected to discriminatory laws, and the white culture in which both the Valmondes and the Aubignys circulated would look down upon and reject anyone who was of mixed blood. Valmonde may have realized that Armand was particularly wrapped up in that culture. He had one of the wealthiest plantations in the area, and he was ruthless toward his slaves. Valmonde wanted to warn him that, should he and Desiree have children, any possible African heritage might show up in their offspring. Armand ignores this warning because of his passion for Desiree.
Later, of course, Desiree's baby does turn out to have African features, and Armand rejects Desiree and the baby because of that. The sentence "He was reminded that she was nameless" foreshadows what occurs later in the story when Armand tells Desiree, "It means that the child is not white....It means that you are not white."
Hello!
The slope-intercept form of a linear equation is
`y=mx+b.`
Here `m` is the slope of the straight line representing this equation on a coordinate plane, and `b` is the y-intercept of this line (the value of `y` when `x=0`).
It is simple to transform any linear equation into this form: solve for `y` and combine like terms in the solution.
In our case, `y-1=-1/2(x+4)` is the same as `y=-1/2(x+4)+1`
(we move `-1` to the right changing its sign).
Now open the parentheses using the distributive law:
`y=-1/2(x+4)+1=-(1/2)x-(1/2)*4+1.`
Finally, combine like terms (with and without `x`):
`y=-(1/2)x-(1/2)*4+1=-(1/2)x-2+1=-(1/2)x-1.`
This is the desired form, `y=-(1/2)x-1,` with `m=-1/2` and `b=-1.`
Montag faces an internal struggle that results from his conflict over whether or not to continue to be a fireman. He does not know if he can continue burning books, because he begins to wonder what is in the books, and because he sees a woman burned alive with her books. He is stunned at the fact that she would be willing to give up her life for her books.
On the front porch where she had come to weigh them quietly with her eyes, her quietness a condemnation, the woman stood motionless.
Beatty flicked his fingers to spark the kerosene.
He was too late. Montag gasped.
The woman on the porch reached out with contempt for them all, and struck the kitchen match against the railing. (Part I)
Montag doesn’t understand the pull of the books at first. How could she die for them? He takes the book because he is curious. Beatty comes to try to explain to him why society eliminated them, and the noble role of the firemen in protecting society from itself. He is unconvincing. Montag can’t really read at the level he wants to, because his society has no books, so he goes to Faber for help.
Beatty’s insistence that the books are the problem and society is better off without them, and the fact that he continuously toys with Montag, leads to Montag’s conflict with him. Montag’s conflict is with Beatty and with society, because in many ways Beatty represents society. This is what leads Montag to change from a normal law-abiding citizen to a book-sneak.
Eventually, the conflict between Beatty and Montag comes to a head when Mildred turns Montag in for having a book. Beatty seems to take a certain kind of glee in tormenting Montag. He knew he was doomed, and now that his time has come he does not make a move to help him, but instead watches his downfall.
"I want you to do this job all by your lonesome, Montag. Not with kerosene and a match, but piecework, with a flamethrower. Your house, your clean-up."
"Montag, can't you run, get away!"
"No!" cried Montag helplessly. "The Hound! Because of the Hound!" (Part III)
Montag kills Beatty with the flamethrower, and then his conflict is character vs. society. He is on the run. Montag's goal is to find the book people and begin his life anew on the right side of history. He is able to evade the mechanical hound, and just barely misses his old city being bombed.
The railroads allowed greater access to the American West and its pastures and mines. Towns along railroads served as the only white settlements for hundreds of miles and provided people a place to trade and relax. Without the rails it would have been very difficult to move beef and minerals East to the growing markets there. The Transcontinental Railroad, finished in 1869 made the Oregon Trail obsolete and made it easier for people to settle on the West Coast.
Mark Twain coined the term "the Gilded Age" because it was an age of excess. To gild something means to plate it with gold--according to Twain, the financial giants of the United States such as Carnegie and Rockefeller were amassing huge profits on the backs of unskilled laborers who were barely getting by financially. Twain's moniker also had another meaning--the excess profits usually hid rotten business practices and according to Twain, corruption. Anytime there is a large discrepancy between the rich and the poor, people compare it to the Gilded Age.
In “Two Kinds” by Amy Tan and “Everyday Use” by Alice Walker, the authors use physical objects as focal points of the conflicts between the mothers and their daughters. In “Two Kinds” the object is a piano, and in “Everyday Use” it is a pair of heirloom quilts.
In Alice Walker’s short story, the older daughter, Dee, leaves her country home. She reinvents herself through education and life in the city. She changes her name from Dee to Wangero, and wears clothing she associates with her African background. When she visits her childhood home, the quilts become an object of conflict. Dee asks if she can have them to use as wall hangings that depict her heritage. Her mother protests and lets Dee know the quilts are promised to the younger daughter, Maggie. Maggie learned to quilt from their relatives, Grandma Dee and Big Dee, who painstakingly pieced the quilts from bits and pieces of fabric worn by family members. These are the women Dee was named after; they are her true ancestors. Dee is afraid that Maggie will actually use the quilts, thus symbolically destroying their heritage. The mother understands that Dee is the one who actually destroyed her personal history by changing her name and looks. It is ironic that in her search for her past, Dee erases it, while Maggie, through her simple life, is maintaining it. The quilts symbolize the family history that Maggie will carry on.
In Amy Tan’s “Two Kinds,” the piano is symbolic of the mother’s dreams for her daughter in America. According to the mother, “you could be anything you wanted to be in America.” Unfortunately, the daughter is not interested in being a child prodigy, and refuses to practice diligently on the piano. She embarrasses her family in a failed performance, after which the piano sits unused in the mother’s home. A rift develops between mother and daughter, which is not resolved until after the older woman’s death. On the daughter’s thirtieth birthday, the mother tells her to take the piano. The mother is offering a truce but it feels like a victory to the daughter. The piano remains in the parents’ home for months after the mother dies. Once the piano is moved to her own home, the daughter sits down to play a piece of music from her childhood, which she realizes is symbolic of her life.
"Pleading Child" was shorter but slower; "Perfectly Contented" was longer but faster. And after I had played them both a few times, I realized they were two halves of the same song.
This quote is found in paragraph 5 of the “Where I Lived, and What I Lived For” chapter in Walden. It follows Thoreau’s recounting of a time when he considered buying a farm. He did not purchase the property. He ends the story with a vow of advice to himself and perhaps to his readers as well: “As long as possible live free and uncommitted. It makes but little difference whether you are committed to a farm or the county jail.”
Thoreau liked to use wordplay and literary devices in his writing. Here he uses two different meanings of the word “committed” to add a twist to his conclusion. To be committed to a farm is to be bound to it by ownership and dedication. To be committed to the county jail is to be put into official custody of law enforcement authorities. The first one is by choice, the second one is by force. In the first one, the person is in charge of everything. In the second one, other people are in charge. But Thoreau sees these ties as being similar. Owning a property is a full-time responsibility that he equates with doing time in prison. You are chained to the place, one way or another.
Other than the house he built and lived in at Walden Pond—and only that building itself, not the land that it sat on (which belonged to Ralph Waldo Emerson)—Henry Thoreau never owned real estate. He lived with his parents or with the Emerson family. He discovered that he could enjoy his lifestyle more by being free of this responsibility. Besides, he did a lot of work as a property surveyor. In this job, he could scrutinize every inch of a property temporarily, and not be tied to it forever.
The total force acting on ice is the sum of the forces with which Charlie and Nate push on ice. For both Charlie and Nate, the force with which each boy pushes on ice is equal in magnitude and opposite in direction to the normal force - the force with which the ice pushes back, according to the third Newton's Law.
For Nate, who is standing still, the normal force is equal to his weight:
`m_(Nate)g = 73*9.8 = 715.4 N`
` `
For Charlie, however, the normal force is different because he is jumping and experiences upward acceleration. According to the second Newton's Law, at the moment when Charlie is about to jump:
` ` `vecN + m_(Charlie)vec(g) = m_(Charlie)veca` .
The normal force and acceleration are directed upward, while the gravity force is downward, so
`N - m_(Charlie)g = m_(Charlie)a`
The normal force on Charlie, which equals in magnitude to the force with which Charlie pushes on ice, is therefore:
`N = m_(Charlie)g + m_(Charlie)a` .
The total force on the ice cannot exceed 3028 N, so this force plus Nate's weight found above cannot exceed 3028 N. The maximum acceleration is found from:
`m_(Charlie)g + m_(Charlie)a + m_(Nate)g = 3028 N`
980 + 100a + 715.4 = 3028
100a = 1332.6
a = 13.326 m/s^2
Charlie's maximum upward acceleration is 13.326 m/s^2.
It was probably common practice for both the North and South armies to send scouts into enemy territory to look and listen. They would come back with whatever useful information they could obtain. Naturally their superiors would want to know anything they could learn about troop movements, troop encampments, artillery emplacements, supply depots, and other such information. The scouts would probably talk to civilians as much as they could, because this would be a better way of gathering information than through their own limited personal observation. The scouts would have to be disguised. They were risking execution if they were caught in the enemy's uniform, but the risk did not seem great as long as they steered clear of the enemy army itself. Communication was very limited in Civil War times. No doubt the Union scout who talks to Peyton Farquhar had some false papers and a memorized story to tell anyone who might have the authority to stop and question him.
The Union scout is not riding around in enemy territory trying to incite civilians to commit sabotage or any other hostile action against the invading Union army. He never once suggests to Farquhar that he should sabotage the Owl Creek Bridge. As a matter of fact, the scout never even states that he is with the Confederate army. He lets Farquhar ask the questions and make his own decision. Here is some of the significant conversation in Part II.
"The Yanks are repairing the railroads," said the man, "and are getting ready for another advance. They have reached the Owl Creek bridge, put it in order and built a stockade on the north bank. The commandant has issued an order, which is posted everywhere, declaring that any civilian caught interfering with the railroad, its bridges, tunnels, or trains will be summarily hanged. I saw the order."
"Suppose a man--a civilian and student of hanging--should elude the picket post and perhaps get the better of the sentinel," said Farquhar, smiling, "what could he accomplish?"
The soldier reflected. "I was there a month ago," he replied. "I observed that the flood of last winter had lodged a great quantity of driftwood against the wooden pier at this end of the bridge. It is now dry and would burn like tinder."
Right at that point Mrs. Farquhar returns with the water and there is no further discussion of the bridge. The Union scout has apparently told Farquhar nothing but the strict truth. The scout will report to his superior officers that a man may try to set fire to the bridge that night. This will be only one piece of all the information he will bring back from his scouting expedition. The scout might not even want Farquhar to attempt to sabotage the bridge, but he has already warned him of what could happen if he got caught, and he has no particular motive to warn him again. He has to maintain his disguise as a Confederate soldier. The scouts were looking for information. It would be a waste of their time and energies to have them going around trying to get civilians into trouble. It was not even honorable military procedure. The Union army would try to maintain good relations with the civilians in the South, just as occupying armies always seem to do in most wars.
Ambrose Bierce wrote many tales about the Civil War, in which he served in the Union Army and fought in major battles such as Shiloh. "Parker Adderson, Philosopher" (1891) is about a captured Union spy who was caught while wearing a Confederate uniform and is scheduled to be hanged in the morning.
The map of Europe changed in many ways after the end of World War I in 1918. These changes were noted in the Treaty of Versailles but were not caused by that treaty; instead, they were created by earlier treaties and treaties that followed the Treaty of Versailles. The largest change was the break-up of former empires, including the Ottoman Empire and Austro-Hungarian Empire, which was no longer connected to the Habsburg family. Out of the old Austro-Hungarian Empire came the Republic of German Austria and Hungary (as separate countries), Czechoslovakia, Yugoslavia (then known as the Kingdom of the Serbs, Croats, and Slovenes and that was created by lands from other countries as well), Romania, and lands granted to Italy and Poland.
In addition, the countries of Estonia, Finland, Latvia, and Lithuania became independent of Russia, though Latvia, Lithuania, and Estonia were later reoccupied by the Soviet Union during World War II. In addition, the German Kaiser abdicated, and Germany entered the period of the Weimar Republic. Germany lost some land, including the Rhineland to France and a great deal of territory to Poland (including the city-state of Danzig on the Baltic Sea). Germany's loss of land was one of the factors that helped give rise to the Nazi party and to World War II.
Dionysian and Apollonian perspectives are literary devices, their names deriving from the Greek gods whose qualities they represent. Apollo and Dionysus were both sons of Zeus, and thus might be considered equals in terms of hierarchy in the Greek pantheon. Apollo is interpreted to represent order and reason, whereas Dionysus represents chaos and emotionalism: two sides of human nature, neither in conflict with each other nor truly harmonious.
Thus, the Apollonian perspectives are all those qualities in Lord of the Flies which relate to "law and order"--for example, the assemblies, the conch, Ralph's democratic election, and the idea of the fire as a tool to return to civilization. In contrast, Dionysian perspectives are largely embodied by Jack and his ideals, which are particularly illuminated on two occasions. First, when Jack attempts to unseat Ralph as chief, but finds no support, he runs away crying, saying that he won't "play" with the others anymore. Second, when Jack forms his own rudimentary tribe, in his first meeting he establishes one of the guiding principles of the group as being "having fun." Clearly among Jack's priorities are emotional fulfillment, even and and almost especially at the expense of abstract reasoning, which is the essence of a Dionysian quality.
Chapter seven of Tuck Everlasting tells the story of how the Tucks came to discover the spring, and how they learned that they were immortal. It is actually a rather humorous chapter, because each Tuck takes a turn describing an event that should have ended in death. Angus Tuck even went so far as to shoot himself in the chest with a shotgun.
"Tuck said—that's my husband, Angus Tuck—he said he had to be sure, once and for all. He took his shotgun and he pointed it at hisself the best way he could, and before we could stop him, he pulled the trigger . . .The shot knocked him down. Went into his heart. It had to, the way he aimed. And right on through him. It scarcely even left a mark."
That part is a bit morbid. I mean Angus could have been wrong and wound up dead.
At the very end of the chapter, Miles Tuck says that they have no idea how the spring works or even why the spring works the way that it does. Angus Tuck isn't present at this point in the story, but Jesse tells Winnie what Angus believes.
"Pa thinks it's something left over from—well, from some other plan for the way the world should be," said Jesse. "Some plan that didn't work out too good. And so everything was changed. Except that the spring was passed over, somehow or other."
In other words, Angus Tuck believes that the spring must be left over from the original creation, and it some how avoided being changed when the rest of the world changed.
You need to evaluate the product of the vectors `u = u_x*i + u_y*j, v = v_x*i + v_y*j` , such that:
`u*v = u_x*v_x + u_y*v_y`
`u*v = (7)*(-3) + 1*(2)`
`u*v = -21 + 2`
`u*v = -19`
Hence, evaluating the product of the vectors `u = u_x*i + u_y*j, v = v_x*i + v_y*j,u = <7,1>, v = <-3,2>,` yields `u*v = -19.`
I would like to extend my previous answer. Miles does tell Winnie another story. A very short story, which occurs in chapter 17. Winnie and Miles both woke up early, so Miles offered to take Winnie out in the boat again to do some fishing. While on the pond, Miles tells Winnie a little bit about his wife and two children.
"Remember I told you I had two children?" he asked. "Well, one of 'em was a girl. I took her fishing, too." His face clouded then, and he shook his head. "Her name was Anna. Lord, how sweet she was, that child! It's queer to think she'd be close to eighty now, if she's even still alive. And my son—he'd be eighty-two."
Next Miles tells Winnie why he didn't have his family members drink from the spring. He then quickly transitions into echoing Tuck's thoughts about why it is important that nobody else knows about the spring. The last thing that Miles tells Winnie is that he plans to use his immortality to do something important for the world.
"Someday," said Miles, "I'll find a way to do something important."
He doesn't know what it will be, and he knows that it will be tough, because he has so little formal education.
You can mine for calcium pretty much anywhere on Earth. You can find calcium in sedimentary, igneous and metamorphic rocks. Many minerals contain calcium, some of them being limestone, marble and dolomite.
The reason why you can mine for calcium everywhere is due to calcium being the fifth most abundant material on Earth's crust, although only representing 4% of it.
Now, keep in mind that you will never find calcium in its elemental form as it is reactive with water and oxygen. After mining it, you will need to purify it, possibly with electrolysis. Through the purifying processes, you can obtain a purity close to 99%.
Examples of mines extracting calcium are the Lengefeld Lime Works and a limestone mine located on Guarello Island. These mines are extracting calcium carbonate, which is the most common form of calcium you will find. It has many practical uses, like being the material used to create chalk.
General the term "race" is used to denote biological groupings and "ethnicity" cultural ones, but both concepts are not ones that can be established by clear, empirical demarcations. ``
On a biological level, there is very little variation in human DNA, with most identifiable physical differences being on an almost purely cosmetic level and affecting only quite malleable traits such as hair and skin color. If you compare human variations, for example, to that of dogs, one can see that relative uniformity of the human race; the differences between beagles and huskies are far greater that the differences among humans. Many of the theories of race that led to racial discrimination or even genocide in the past have no real scientific basis, but were political or ideological constructs.
Ethnicity has a cultural rather than a biological basis. For some civilizations, ethnicity was based on culture; in Hellenistic society, "paideia" or education was thought to distinguish the Hellene from the barbarian. Other national groups, such as Germany under Hitler or Imperial Japan conflated race and culture and strove for ethnic and racial purity.
The reality of human history, though, is that modern humans have existed for over 200,000 years and traveled, interbred, communicated, and influenced one another so much that no particular genetic pool or cultural tradition is independent of the rest of the human race, but all cultures are to a degree hybrids. Even in recorded history, the nation states of the early modern period, which argued for cohesion on the basis of shared language, ethnicity, and traditions, were in fact hybrids. The shifting geography of earth's land masses has meant that even areas that are now isolated islands were, in the past, connected to other land masses.
Although in certain historical periods and geographical regions, groups do spring up that share languages, customs, and traditions, these are not permanent categories of being, but rather transitory phenomena, constantly subject to outside influences and internal mechanisms of change.
The theme of Stave III is to show Ebenezer Scrooge how easy it is for others to have Christmas in their heart. We see this through multiple examples of people Scrooge knows and people he does not know, all celebrating Christmas with those around them. Most of them are doing so under challenging circumstances where it might be very easy to be sad or downtrodden and give up on Christmas all together. Instead, they celebrate heartily, and the two men in the lighthouse, and the men on the ship are extreme examples of this.
For the lighthouse, Dickens describes an inhospitable scene where the inhabitants STILL find Christmas joy.
"Built upon a dismal reef of sunken rocks, some league or so from shore, on which the waters chafed and dashed, the wild year through, there stood a solitary lighthouse. Great heaps of sea-weed clung to its base, and storm-birds—born of the wind one might suppose, as sea-weed of the water—rose and fell about it, like the waves they skimmed.
But even here, two men who watched the light had made a fire, that through the loophole in the thick stone wall shed out a ray of brightness on the awful sea. Joining their horny hands over the rough table at which they sat, they wished each other Merry Christmas in their can of grog; and one of them: the elder, too, with his face all damaged and scarred with hard weather, as the figure-head of an old ship might be: struck up a sturdy song that was like a Gale in itself" (Stave III).
Then, Dickens takes Scrooge and the Spirit over a ship where the waves are beating against it, it is freezing cold, and yet,
"every man among them hummed a Christmas tune, or had a Christmas thought, or spoke below his breath to his companion of some bygone Christmas Day, with homeward hopes belonging to it" (Stave III).
Overall, these two examples of the lighthouse and the ship further demonstrate that even under the loneliest, most difficult of circumstances, Christmas can bring joy to those who choose to embrace it and those around them.
Atticus is the perfect father, not just a caring one. He is always there for his kids when they need him, but he does not let them get away with bad behavior either. He has never hit them as punishment because he's the type of man who would rather use logic and reason to change behavior. For example, after Scout's disastrous first day of school, Atticus listens to her woes. He calmly and carefully says the following:
"First of all. . . if you can learn a simple trick, Scout, you'll get along a lot better with all kinds of folks. You never really understand a person you consider things from his point of view--until you climb into his skin and walk around in it" (30).
He doesn't scold her for almost beating up Walter Cunningham that morning, and he doesn't bring up the past after she embarrassed him at lunch, as well. He takes the teaching opportunity before him and keeps Scout's dignity in tact.
Another time when Atticus is caring would be after Jem chops off Mrs. Dubose's camellia bushes with Scout's baton. Mrs. Dubose called Atticus a bad name and Jem went berserk on her yard. As a result, Atticus does not whip him, but says the following instead:
"Son, I have no doubt that you've been annoyed by your contemporaries about me lawing for ni***rs, as you say but to do something like this to a sick old lady is inexcusable. I strongly advise you to go down and have a talk with Mrs. Dubose" (104).
Some might say that this is the wrong way to talk to kids, especially Scout who thinks her father is sending Jem to his death. But again, he doesn't hit Jem. He teaches him how to take responsibility for his actions and then allows him to make things right.
Finally, Atticus reads to Scout and puts her to bed on the night that Bob Ewell attacks her and Jem. The very end of the book shows Atticus putting a very sleepy Scout to bed, as follows:
"I willed myself to stay awake, but the rain was so soft and the room was so warm and his voice was so deep and his knee was so snug that I slept.
Seconds later, it seemed, his shoes was gently nudging my ribs. He lifted me to my feet and walked me to my room. . . He unhooked my overalls, leaned me against him, and pulled them off. He held me up with one hand and reached for my pajamas with the other. . . He guided me to the bed and sat me down. He lifted my legs and put me under the cover" (280-281).
Atticus can be the greatest example of a gentleman to his kids, teach them how to take responsibility for their actions, as well as think of other people, and then still put a little girl to bed at night. He's a very caring father.
Romeo is presented as a passionate, highly emotional, headstrong but very immature lover in “Romeo and Juliet”. It's important to remember that the romantic ideals of love that are often assumed to be held up in the play are less simple and idealized than they may appear at first. After all, Romeo and Juliet meet and fall in love instantaneously, having barely spoken, and do tremendously impulsive and dangerous things to preserve that love. It's actually quite strange, when you think about it, that Romeo and Juliet's love is so intense and so consuming considering they've just barely met and in fact know almost nothing about each other. There is something very headstrong and immature about being willing to fight and die for the love of somebody you barely know. It sounds very romantic at first but upon reflection it seems a bit…insane. Romeo’s love for Juliet leads him to measures that are desperate, including eventually suicide, measures that are violent, and all sorts of behavior that makes the idea of romance much more complicated and difficult and unpleasant than it's typically assumed to be. The romantic ideas of “true love” and “love at first sight” that have come to surround the play have much more to do with the way people have traditionally perceived the characters, particularly in the Victorian era, than with the play itself, which presents love as a very painful, violent, desperate experience.
Odysseus, the protagonist in Homer’s epic poem The Odyssey, displays the traits of a hero—a Homeric hero—throughout the tale. Zeus speaks with Athena at the start of the epic and extols the heroic virtues of Odysseus:
Could I forget that kingly man Odysseus? There is no mortal half so wise; no mortal gave so much to the lords of the open sky." Book One lines 84-86
Odysseus goes on to fulfill his role as a hero during the many adventures of the poem.
Rag of man that I am, is this the end of me? I fear the goddess told it all too well, predicting great adversity at sea and far from home. Book Five, lines 309-312
A Homeric hero understands his destiny and is prepared to suffer and die to fulfill it.
We beached there, and I told the crew to stand by and keep watch over the ship: as for myself I took my twelve best fighters and went ahead. Book Nine, lines 134-137
Odysseus is leading from the front here. He displays courage and teamwork, two traits of a hero.
My name is Nohbdy: mother father and friends, everyone calls me Nohbdy. Book Nine, lines 394 – 399
Here, Odysseus shows his cunning and intellect in tricking the Cyclops. A hero is intelligent; his greatest weapon is his mind.
We would entreat you, great Sir, have a care for the gods' courtesy; Zeus will avenge the unoffending guest. Book Nine, Lines 82-84
Respect for the gods is a trait of heroes. Invoking Zeus’s name here is Odysseus’ way of trying to talk his way out of trouble with Polyphemus.
I am Odysseus son of Laertes, known before all men for the study of crafty designs, and my fame goes up to the heavens. Book Nine, lines 19-20
The ultimate trait of a Homeric hero is Kleos, or fame upon others’ lips. Here, Odysseus says he is known and revered by all.
In "A Sound of Thunder", Eckels is going on a time safari - he is paying a hunting company to send him and a group of guides to the distant past, using a time machine, so that he can hunt animals that are extinct in the modern period.
At the beginning of the story Eckels seems like a fairly typical customer, as we might envision one. He is excited by the prospect of hunting a dinosaur, although a little impatient and demanding, but again we might expect this of a person paying a large amount of money for the experience. It might also be implied that Eckels doesn't like being told "no", and that the numerous restrictions and conditions placed on his expedition somewhat diminish his impression of the quality of the experience he is paying for.
At the end of the story, Eckels seems like a decidedly cowardly, apologetic buffoon, being unable to grasp or accept the changes he has caused in the timeline or their permanence. He seems overcome with grief and cannot behave with either the stoicism and measure displayed by the safari leaders, but neither is he completely oblivious - he is simply a stand-in for the average person who might display far more regret and care after a mistake has been made. In his apologetics, he seems to have completely forgotten, or ignored, all of the explanations that have been provided to him about how time travel works, and it seems foolish to have allowed him to embark on the trip in the first place.
Among the people who have come to gawk at Hester Prynne, her new baby, and her scarlet "A" is a group of terrible women who insist that her punishment was too merciful and that she ought to be branded with the letter, or, better yet, hanged for her sin. One man in the crowd utters the line to which you refer when he asks, "Is there no virtue in woman, save what springs from a wholesome fear of the gallows?" What he's asking, then, is if women are incapable of being virtuous without having to fear the mortal consequences of bad behavior. Put differently: Can women be "good" even if there are no terrible consequences for being bad?
Although the Puritans believed women to be naturally more lustful and easier to tempt away from God -- this is why they thought women were more likely to be witches than men -- I certainly believe this to be untrue. Women don't need a looming consequence for bad behavior in order to choose good behavior any more than men do. There will always be people who break laws and do bad things, but I doubt their being men or women has much to do with it.
