Onboard Note

Evaluate the equation $\displaystyle 0.09x + 0.13 (x + 300) = 61$ and check your solution. $ \begin{equation} \begin{aligned} 0.09x + 0.13 (x + 300) =& 61 && \text{Given equation} \\ 100 [0.09x + 0.13(x + 300)] =& 61(100) && \text{Multiply each term by $100$} \\ 9x + 13(x +300) =& 6100 && \text{Distributive property} \\ 9x + 13x + 3900 =& 6100 && \text{Distributive property} \\ 22x + 3900 =& 6100 && \text{Combine like terms} \\ 22x =& 6100 - 3900 && \text{Subtract $3900$ from each side} \\ 22x =& 2200 && \text{Combine like terms} \\ \frac{22x}{22} =& \frac{2200}{22} && \text{Divide both sides by $22$} \\ x =& 100 && \end{aligned} \end{equation} $ Checking: $ \begin{equation} \begin{aligned} 0.09(100) + 0.13(100 + 300) =& 61 && \text{Let } x = 100 \\ 9 + 52 =& 61 && \text{Multiply} \\ 61 =& 61 && \text{True} \end{aligned} \end{equation} $

Asians have been in the United States for over 150 years, but they have been continually regarded as foreign or "exotic." They have been seen as incapable of assimilation, and they have also been subject at times to immigration restriction laws, such as the 1882 Chinese Exclusion Act. Later, Japanese Americans were sent to internment camps during World War II, as they were thought to be sympathetic to the Japanese cause during the war and were regarded as potential spies. Today, Asian Americans are the fastest-growing ethnic group. Unlike Mexican Americans, Chinese Americans are regarded as a "model minority" and held up to other ethnic groups and to whites as an example of how to succeed economically in the US. Mexican Americans (or Chicanos, as people of Mexican descent are called) represent the largest group among Hispanics in the US. Unlike the Chinese, some Mexicans were in parts of the current US before Anglos moved in and claimed theses areas after the Mexica...

I believe that this question is asking about the book Tuck Everlasting.   The Tuck family can not stay in one place for very long because other people would eventually become suspicious of the Tuck family.  The entire family is immortal.  They have stopped aging.  If they were to stay in one place for a long time, people would begin to wonder why nobody in the family ever appears to age.  The Tucks could probably get away with staying in a single place for a decade or two, but after that it would be fairly obvious to other townspeople that something is definitely different about the Tucks.  All of this is explained to Winnie (and readers) in chapter 10.  Mae admits that they have been in their present location for about as long as they dare stay anywhere -- 20 years.   "But they can't stay on in any one place for long, you know. None of us can. People get to wondering." She sighed. "We been in this house about as long as we dare, going on twenty years."

Early in the play, Creon proclaims that he is the kind of ruler who has "nothing but contempt for the kind of Governor who is afraid, for whatever reason, to follow the course that he knows is best for the State; and as for the man who sets private friendship above the public welfare," but his actions in attempting to spare Antigone, his niece, from execution for defying his order contradict his proclamation of being the upholder of law. Because she is his brother's daughter, he attempts to reason with her so that he doesn't have to have her executed. However, Antigone will not break; she stands by the morality of her decision to bury her brother even though in doing so, she has defied the state. It takes the deaths of his niece, Antigone; his son, Haemon; and his wife, Eurydice, for Creon to finally understand that his loyalty should have been to his family. He laments his blindness when he says, "I have been rash and foolish. I have killed my son and my wife. I...

The following are some of the positive effects of globalization on Nepal: Modernization of the economy by revolutionizing it into an open service-based one as opposed to an entirely agricultural based economy. Expansion of the export market for Nepal’s products through increased trade with other countries across the world. Enabled Foreign Direct Investment (FDI) by multinational corporations, which have not only led to the transfer of technology to Nepal but also improved the country’s Balance of Payments (BOP). Increased employment opportunities for Nepalese workers through exposure to the international labor market. Due to global competition, the population in Nepal has increased access to a wide variety of high-quality and affordable products. Social-cultural transformation as a result of activities such as tourism, migration, and exchange of knowledge.

In “The Lumber Room” by Saki Nicholas is punished in a number of ways for his supposed transgressions. But is he really punished? During breakfast, Nicholas refuses to eat his milk and bread because there is a frog in it. As he describes the frog in great detail, he is scolded for being obstinate. When the adults realize the frog really exists and it is of Nicholas' own doing, they are angry. His self-appointed aunt hastily plans a trip to Jagborough for the other children, but Nicholas is excluded from the trip. Is this truly a punishment for Nicholas? In the aunt's mind it is, but Nicholas sees it as an opportunity. While the others are away, the aunt forbids Nicholas from entering the gooseberry garden, which is filled with delightful fruits and plants. Nicholas pretends to want access to the garden. This punishment is meaningless to him because he does not want to go into the garden. It becomes more of a trial for the aunt who spends her whole afternoon patrolling the outer...

The community in Lowry's The Giver solves the homelessness problem through population control. For instance, one of the community's policies is to allow only a specific number of babies to be born each year. In chapter 14, the Giver explains to Jonas that the Committee of Elders once asked about increasing the number of births each year so there would be more laborers in the workforce. Some family units also desired to have three children instead of two. At the time, the Giver drew upon his memories and remembered the devastation that could be the result of having large populations--widespread hunger. Therefore, he told the Elders not to increase the population. His reasons are as follows: "And the strongest memory that came was hunger. It came from many generations back. Centuries back. The population had gotten so big that hunger was everywhere. Excruciating hunger and starvation. It was followed by warfare" (111). After receiving the Giver's advice about popula...

Black is in an ice covering on the roads that is especially difficult to see and therefore extremely dangerous for motorists. The distance that a car traveling 30 mph will slide after its brakes are applied is related to the outside temperature by the formula $\displaystyle C = \frac{1}{4} D - 45$, where $C$ is the Celsius temperature and $D$ is the distance in feet that the car will slide. Determine the distance a car will slide on black ice when the outside temperature is $-3^{\circ} C$. We solve for $D$ (distance), $ \begin{equation} \begin{aligned} C =& \frac{1}{4} D -45 && \text{Given equation} \\ \\ C + 45 =& \frac{1}{4}D && \text{Add } 45 \\ \\ 4 (C + 45) =& D && \text{Multiply both sides by } 4 \\ \\ 4C + 180 =& D && \text{Apply Distributive Property} \\ \\ 4(-11) + 180 =& D && \text{Substitute } C = -11^{\circ} \\ \\ -44+180 =& D && \text{Simplify} \\ \\ D =& 136 \text{ ft} && \end{aligned} \en...

Jackson Jackson, the main character in Sherman Alexie's “What You Pawn I Will Redeem,” is a homeless Native American—a self-proclaimed “Spokane Indian boy” who lives in Seattle. When Jackson happens upon his grandmother’s stolen powwow regalia in a pawn shop, he embarks on a quest to come up with $999 dollars to buy it back in the next twenty-four hours. Throughout the story, Jackson repeatedly remarks on the hardships faced by Native Americans, referring to himself as “living proof of the horrible damage that Colonialism has done to us Skins.” From this perspective, we can understand the stolen regalia as representative of both material and cultural appropriation; Jackson’s attempt to regain it is an attempt to recover a cultural identity. We see this evidenced over the course of the 24 hours, such as when he sings “Indian songs” and ultimately dances with his grandmother. To understand the symbolism of the quest, it is important to pay attention to the language that Alexie uses t...

The Middle Ages consisted of a period of almost a thousand years, from the fall of the Roman Empire to the start of the Renaissance. The Latin West consisted of all of Europe and Great Britain, and there were significant amounts of cultural interchange between the Latin West and Byzantium to the East and the Islamic empires to the South and East. This means that "philosophers of the Middle Ages" spans a very diverse group of philosophers and scientists of Europe. The study of nature was usually called "natural philosophy." It was not a branch of empirical science, but rather an attempt to understand the fundamental nature of the universe. During the earlier part of the Middle Ages, it tended to be Platonic and focused on cosmology—especially Plato's Timaeus—and reconciliation of that with Christianity. As more Greek works were recovered through encounters with Islamic writers such as Averroes and Byzantine refugees, natural philosophy increasingly focused on the...

The War of 1812 can be seen as an extension of the Napoleonic Wars. War Hawks in the United States Congress believed that they could annex Canada while Britain was occupied with fighting France. Also, United States merchants ran the risk of running the British blockade to trade with Britain and France. British ships stopped American ships and raided their cargoes. Also, the British used impressment to fill its own merchant marine with sailors whom they said deserted to American ships. The United States was outraged at this breach of sovereignty, claiming that it had a right to trade with whomever it wished and that British naval captains were guilty of kidnapping American sailors. The outrage of impressment, trade restrictions, and a desire to gain Canada ultimately led to the United States declaring war on Britain. The war did not go well for the United States; the Canadians refused to join the United States and actually helped the British. The United States burned York, which is pres...

Find $\displaystyle\lim\limits_{x \rightarrow 1^-} \frac{1}{x^3-1}$ and $\displaystyle \lim\limits_{x \rightarrow 1^+} \frac{1}{x^3-1}$ a.) By evaluating $f(x) = \displaystyle \frac{1}{x^3-1}$ for values of $x$ that approach 1 from the left and from the right. if $ \quad \begin{array}{cc} x^- =& 0.99999 \qquad \displaystyle f(x) =& \frac{1}{(0.99999)^3-1} \qquad &=& -33333.67\\ x^+ =& 1.00001 \qquad \displaystyle f(x) =& \frac{1}{(1.00001)^3-1} \qquad &=& 33333 \end{array} $ b.) By reasoning: $\displaystyle \lim\limits_{x \rightarrow 1^-} \frac{1}{x^3-1}$ if $x$ is close to 1 but smaller than 1, the denominator is a very small negative number. Therefore the quotient is a very large negative number. $\displaystyle \lim\limits_{x \rightarrow 1^+} \frac{1}{x^3-1}$ if $x$ is close to 1 but larger than, the denominator is a very small positive number. Therefore the quotient is a very large positive number. c.) By graphing: The graph shows that as $x...

Isabel's friendship with Curzon is a friendship that is constantly developing throughout the book.  When she first meets Curzon, there is little indication that Isabel will eventually put herself in great danger to rescue him from prison.  When they first meet, Curzon makes a stop in a store and comes out with two rolls.  He gives her both and claims that he is not hungry.  It's not until much later in the story that Isabel learns the truth. In chapter 36, Isabel visits that very same store and learns from the owner that Curzon "pointed to you out the window . . . Told me you were likely to die from hunger if I didn't help"  It's clear to readers that Curzon has a heart for helping Isabel.  He gets her those rolls, and it is him that gets Lady Seymour to help nurse Isabel back to health after being branded.  Curzon continually places himself at risk to help Isabel because he genuinely values her friendship.  She is more to him than another potential spy.  Isab...

In the fourth vignette, entitled "My Name," Esperanza reveals her feelings about her name, its origin, its meaning, and how society views it. At the beginning of the vignette, Esperanza repeats the word "means" to elaborate on the various definitions she associates with her name. She tells the reader that in English her name means "hope," but in Spanish, it means "too many letters." Esperanza also mentions that she feels her name means "sadness" and "waiting." There is also repetition of the word "horse" throughout the vignette as Esperanza describes her great-grandmother as a wild horse of a woman who was born in the Chinese year of the horse. The image of a horse conjures a powerful vision of a strong, confident, free being, which resembles Esperanza's great-grandmother. The word "sadness" is also repeated throughout the vignette and gives the reader insight into Esperanza's attitude and perceptio...

In the book Dreams from My Father, Obama explains that he was mainly raised by his grandparents Stanley and Madelyn Dunham. His grandfather served in the US Army, where he was exposed to people from various races and backgrounds. Obama's mother, Ann Dunham, was raised in a military family and was accustomed to meeting people from other races and ethnic backgrounds during her father's career. Obama's mother worked in the development sector in the State Department and found it prudent to have Obama stay with his grandparents in Hawaii to give him a stable environment. Obama had to learn at a tender age to cope with many questions, as he did not want to overburden his grandparents with too many questions. He says in the book that he preferred to stay in his room after completing his homework. One of the social challenges Obama faced was growing up without a father. His father, Barack Obama Senior, returned to Kenya when Obama was three years old and only returned to the US for...

The Middle Colonies attracted the most diverse group of European colonists and immigrants. This partly explains why it developed a more diverse economy that served as a crossroads between the other colonies to its north and south. The relative tolerance of the Middle Colonies largely accounts for this diversity. For instance, anyone of any Christian faith was automatically granted citizenship in New York. Many of these immigrants, particularly Germans, took up farming on small or medium-sized farms. They usually grew staple grains that served to feed not just the local population, but other parts of the colonies as well. This allowed the more fertile Southern Colonies to focus more of their farmland on cash-crops for export. New England was never suitable for large-scale farming and the food from the Middle Colonies supported a growing population there that could focus on other economic pursuits. Many immigrants also came to this region as indentured servants. These young men and women...

A power series centered at c=0 is follows the formula: sum_(n=0)^oo a_nx^n = a_0+a_1x+a_2x^2+a_3x^3+... The given function f(x)= 3/(3x+4) resembles the power series: (1+x)^k = sum_(n=0)^oo (k(k-1)(k-2)...(k-n+1))/(n!) x ^n or (1+x)^k = 1+kx +(k(k-1))/(2!)x^2+(k(k-1)(k-2))/(3!)x^3+(k(k-1)(k-2)(k-3))/(4!)x^4+... For better comparison, we let 3x+4 = 4 ((3x)/4 + 1) . The function becomes: f(x)= 3/4 ((3x)/4 + 1) Apply Law of exponents: 1/x^n = x^(-n) . f(x)= 3/4((3x)/4 + 1)^(-1) Apply the aforementioned formula for power series on ((3x)/4 + 1)^(-1) , we may replace "x" with "(3x)/4 " and "k " with "-1 ". We let: (1+(3x)/4)^(-1) = sum_(n=0)^oo (-1(-1-1)(-1-2)...(-1-n+1))/(n!) ((3x)/4) ^n =sum_(n=0)^oo (-1(-2)(-3)...(-1-n+1))/(n!)((3x)/4) ^n =1+(-1)((3x)/4) +(-1(-2))/(2!)((3x)/4)^2+(-1(-2)(-3))/(3!)((3x)/4)^3+(-1(-2)(-3)(-4)/(4!)((3x)/4)^4+... =1-(3x)/4 +(2)/2((3x)/4)^2- 6/6((3x)/4)^3+24/24((3x)/4)^4+... =1-(3x)/4 +((3x)/4)^2- ((3x)/4)^3+((3x)/4)^...

Solve the equation $4 [6 - (1 + 2x)] + 10x = 2 (10 - 3x) + 8x$, and check your solution. If applicable, tell whether the equation is an identity or contradiction. $ \begin{equation} \begin{aligned} 4 [6 - (1 + 2x)] + 10x =& 2 (10 - 3x) + 8x && \text{Given equation} \\ 4[6-1-2x] + 10x =& 20-6x + 8x && \text{Distributive property} \\ 4[5-2x] + 10x =& 20 + 2x && \text{Combine like terms} \\ 20 - 8x + 10x =& 20 + 2x && \text{Distributive property} \\ 2x + 20 =& 2x + 20 && \text{Combine like terms} \\ 2x - 2x =& 20 - 20 && \text{Subtract $(2x + 20)$ from each side} \\ 0 =& 0 && \end{aligned} \end{equation} $ The final line, $0=0$ indicates that the solution set is $\{$ all real numbers $\}$ and the equation $4[6 - (1 + 2x)] + 10x = 2(10 - 3x) + 8x$ is an identity.

The angles of elevation to an airplane from two points A and B on level ground are 55 degrees and 72 degrees respectively. The points A and B are 2.2 miles apart, and the airplane is east of both points in the same vertical plane. Let the altitude of the plane be H. Let the point at which the plane is be represented by P, and the point where the vertical touches the ground be Q. The points A, Q and P form a right triangle with right angle /_ AQP. And the points B, Q and P form a right triangle with right angle at /_ BQP. PQ = BQ*tan 55 and PQ = AQ*tan 72. BQ = AQ + 2.2 Substituting this in the formulas derived earlier. (AQ + 2.2)*tan 55 = AQ*tan 72 AQ*(tan 72 - tan 55) = 2.2 AQ = 2.2/(tan 72 - tan 55) ~~ 1.33 PQ = 1.33*tan 55 = 1.9 The altitude of the plane is approximately 1.9 miles.

We can use the definition of entropy change to find the change in entropy of the liquid water as it freezes. The change of entropy of the water is given by: DeltaS=Q_(rem)/T Where the heat removed from the water is Q_(rem) . Q_(rem) is also a product of the latent heat of fusion and its mass. Q_(rem)=-mL_f=-nML_f Where n is the number of moles and M is the molar mass. Then, DeltaS=Q_(rem)/T=(-nML_f)/T=(-(1.00 mol)(18.015 g/(mol))(333.5 J/g))/(273 K)=-22.0 J/K http://hyperphysics.phy-astr.gsu.edu/hbase/Therm/entrop.html

You can find the answer to this question near the beginning of Chapter Six. In the early morning on Whit Monday, Mr. and Mrs. Hall both went down into the cellar of the house in order to perform a mysterious "private" activity pertaining to "the specific gravity" of the beer they are making. However, having reached the cellar, it occurs to Mrs. Hall that she has neglected to bring the sarsaparilla bottle from the couple's room. As such, Mr. Hall, presumably operating under the direction of his wife, whom, it is implied, is in charge of their work, goes back upstairs to fetch the bottle. Upon his return to the upstairs landing, he is surprised to see that "the stranger's door is ajar." Later, he notices that the front door is actually unlocked, being simply standing on the latch, and connects this discovery to what he has seen upstairs--knowing that his wife definitely bolted the door the night before. This also startles him, and he goes back upstai...

As the play begins, themes of unrequited love and of children resisting their parents’ impositions are already at work, and before long it seems like everyone is pining for or chasing after the one who does not love them in return. Magical potions and spells further complicate these mixed-up affairs. Among the first confused pairs to be introduced are Hermia and Lysander, and Helena and Demetrius. Hermia wants to marry Lysander, but her father insists she marry Demetrius, so she and Lysander run away together. Helena is in love with Demetrius. There is an open question about whether he actually loves Hermia in return, or if he is marrying her out of duty, in that he had previously been interested in Helena. In writing an analysis of Helena’s and Demetrius’s interactions in Act 2, keep in mind what the playwright had established it in Act 1. By the time they meet again in the forest, the audience is also aware of the jealous Oberon’s plot to anoint Titania with a magic flower to make he...

In Lord of the Flies, William Golding seeks to prove that humanity is innately evil. By using the most innocent creatures, children, he illustrates that even the most inexperienced and untouched will choose evil over good.  Throughout the text, there are various symbols Golding uses to help develop this thesis. A central symbol is the pig's head, or Lord of the Flies. The pig's head becomes a symbol of the tenuous and disintegrating ties to civilization when Jack and his hunters decide to mount the head on a stick. This initial act is one of reverence for their brutality. Jack instructs the boys to "sharpen a stick at both ends" in order to leave the head "for the beast. It's a gift" (197). This sacrifice for the "beastie" they believe is on the island signifies their propensity for savagery away from the binds, rules, and laws of civilization. The boys no longer have ties to the civil but worship the animalistic side of nature.  The pig's ...

By limit process, the derivative of a function f(x) is :- f'(x) = lim_(h -> 0) [{f(x+h) - f(x)}/h] Now, the given function is :- f(x) = 1/(x^2) thus, f'(x) = lim_(h -> 0) [{{1/(x+h)^2} - {1/(x^2)}}/h] or, f'(x) = lim_(h -> 0) [{(x^2) - (x+h)^2}/{h*(x^2)*(x+h)^2}] or, f'(x) = lim_(h -> 0) [{-2hx - (h^2)}/{h*(x^2)*(x+h)^2}] or, f'(x) = lim_(h -> 0)[{-2x - h}/{(x^2)*(x+h)^2}] putting the value of h = 0 in the above expression we get f'(x) = -2x/(x^4) = -2/(x^3)

Suppose $3n- 7 = 5 (2n + 7)$, evaluate $\displaystyle \frac{n^2}{2n - 6}$. We solve for $n$ in the equation $3n- 7 = 5 (2n + 7)$ $ \begin{equation} \begin{aligned} 3n - 7 =& 10n + 35 && \text{Apply Distributive Property} \\ 3n - 10n =& 35 + 7 && \text{Subtract $10n$ and add } 7 \\ -7n =& 42 && \text{Simplify} \\ \frac{\cancel{-7}n}{\cancel{-7}} =& \frac{42}{-7} && \text{Divide by } -7 \\ n =& -6 && \end{aligned} \end{equation} $ Now we substitute $n = -6$ into the equation $\displaystyle \frac{n^2}{2n - 6}$ $ \begin{equation} \begin{aligned} \frac{(-6)^2}{2(-6) - 6} =& \frac{36}{-18} && \text{Substitute } n = -6 \\ =& -2 && \end{aligned} \end{equation} $

In this coming-of-age story the young narrator discovers that he will not find the exotic and imaginative "other" that he craves in the confines of Dublin. Both Mangan's sister and the bazaar, Araby, represent that magical "other." In fact, the two conflate into one, to the point that the bazaar's potentially Asian-sounding name almost seems to be the name of the girl. Thus, the bazaar represents his friend's unnamed sister, on whom the narrator has a crush. The narrator lives in a "blind" alley. A "blind" alley is a cul-de-sac or dead end street, but the word acts in the story as a double entendre, also representing the boy's own blindness. When he gets too late to the bazaar, which is very ordinary after all, the narrator has an epiphany in which his eyes open. He realizes that both the bazaar and, hence, to his mind, the girl have nothing to offer him. His dreams have been a hollow illusion. It would be interesting to analyze t...

The riots in "Once Upon a Time" represent the outside world that threatens the fairy tale life the family lives. In telling her "bedtime story," Gordimer constructs a tale of a family living the perfect life. Their world is the fairy tale world: "In a house, in a suburb, in a city, there were a man and his wife who loved each other very much and were living happily ever after." The family keeps the outside world at a distance to protect this flawless existence. Through examples such as the purchase of different types of insurance policies and the gate with the sign reading "YOU HAVE BEEN WARNED," the family does their best to keep the threats of the outside world away from their lives. The riots represent a part of this outside world that the family does not want to acknowledge. The riots are a reality that the family wishes to avoid. By insulating themselves from worldly elements such as riots, the family does not want to acknowledge "the o...

One theme that emerges in chapter 8 is the seductive power of lawlessness and even evil. When Jack and his group violently kill the sow, their actions immediately afterward show completely lack of compassion or empathy for their actions. Instead, the group is fueled by the violence: The boys drew back, and Jack stood up, holding out his hands. "Look." He giggled and flicked them while the boys laughed at his reeking palms. Then Jack grabbed Maurice and rubbed the stuff over his cheeks ... Robert stabilized the thing in a phrase that was received uproariously. "Right up her ass!" [...] This time Robert and Maurice acted the two parts; and Maurice's acting of the pig's efforts to avoid the advancing spear was so funny that the boys cried with laughter. The boys have left Ralph's sense of order and priorities and have chosen to follow Jack, a bloodthirsty leader who has no sense of vision for getting off the island. The boys begin to lose the real focus tha...

The atmosphere supports life, and life affects the composition of the atmosphere. Animals like insects, birds, dinosaurs, and humans rely on the oxygen in the atmosphere to fuel our biological functions and, in turn, we release carbon dioxide.  Plants and some single-celled organisms use sunlight to break down carbon dioxide and release oxygen back into the air. This cycle needs to be in balance or disaster can occur—one of the greatest extinction events in Earth's prehistory occurred about 2.3 billion years ago when an explosion of photosynthesizing organisms flooded the atmosphere with poisonous levels of O2. The atmosphere is also responsible for maintaining livable conditions on the Earth's surface.  The Ozone Layer is a shield of ozone (O3) in the upper reaches of the atmosphere. Ozone deflects many types of harmful radiation from the sun. This radiation is potentially harmful to most types of life; without ozone, much of the Earth's surface would be scorched clean.  T...

Hello! The uncertainty principle (one of them) states that it is impossible to exactly measure the speed and the position of a body. This inexactness is called uncertainty. Of course it is significant only for very small particles of matter, for example for electrons. The main formula for the speed-position uncertainty is Delta p*Delta x gt= bar h/2, where Delta p is the uncertainty of the momentum, Delta x is the uncertainty of the position and bar h is the reduced Plank's constant  h/(2pi). The momentum is the mass multiplied by the speed and 10% is 0.1. Thus we obtain the inequality 0.1*m_(el)*v*Delta x gt= h/(4pi), and therefore Delta x gt= h/(4pi)*10/(m_(el)*v) =(6.626*10^(-34))/(4pi)*10/(9.11*10^(-31)*2*10^6)= =(6.626)/(4pi*9.11*2)*10^(-8) approx0.0289*10^(-8) = 2.89*10^(-10) (m). In nanometers it is 0.289 nm. The answer: the minimum uncertainty in position is about 0.289 nm.

According to Aristotle, “Tragedy [...] is an imitation of an action that is serious, complete, and of a certain magnitude.” As the plot of Antigone moves from Creon's refusal to bury Polynices to Polynices's eventual burial and Creon's repentance, the action of the play can be described as complete. The themes include human versus divine law, the nature of justice, what makes a ruler just, and the competing obligations towards city and family. These are obviously serious and of a certain magnitude. The heroes of tragedy are characters who are greater than average people, often noble and powerful, who make major moral choices, something true of Antigone and Creon. Although the characters in the play are flawed, they are not figures of fun like those in comedy. Finally, we feel fear and pity as we empathize with the suffering of characters who in their own ways are attempting to behave according to what they judge are their moral obligations. In his Poetics, Aristotle discuss...

The eventual consequence of World War II for the colonized people of Asia was that they stopped being colonized.  WWII caused the colonial powers to give up their colonies, with most of them giving the colonies up rather quickly. WWII freed the people of Japanese colonies from colonization immediately.  Japan was ejected from Korea and Taiwan, ending colonialism in those lands.  Also gaining their freedom rather quickly were the people of the large British colonies in Asia.  The British had been so weakened by WWII that they knew that they could no longer resist large colonial movements for independence.  For this reason, they freed all of the Indian subcontinent as well as Burma.  France was also severely weakened by the war both in terms of its economic and military power and in terms of its prestige.  It had lost to Germany so quickly that its colonial subjects were certainly no longer in awe of it.  This helped lead relatively quickly to the loss of France’s colonies in what was th...

Nelson Mandela was an enigmatic figure during his long years imprisoned in South Africa, especially during his 27 years isolated in a prison on Robben Island. What most people outside of South Africa knew about Mandela was that he was an important figure in the anti-apartheid movement opposing the white-minority government’s institutionalized and violently enforced system of racial segregation. Mandela was associated with the Communist Party and with the militant African National Congress. For all most people knew of Mandela during those decades, he was a militant, himself, responsible for anti-government violence. His release from prison in 1990 was a highly-anticipated event on both sides of the political divides both in South Africa and in the United States. Many on the political right in both countries expected a vindictive militant anxious to exact some measure of vengeance for his 27 years in prison. When Mandela was officially released from prison on February 11, 1990, the figur...

In Renaissance English, "intestine" wars were wars within a country. For example, the word "intestine" is also used in Shakespeare's play Henry the Fourth Part One when referring to a rebellion against the king. In the case of Syracuse and Ephesus, those two cities are both within the country of Greece at the time of the play. So the quarrel between them counts as "intestine" because it is between two elements of the same entity—an internal struggle. Today, we are used to "intestine" referring to the body part, but the source of the word is this original sense of "internal." At the beginning of the play, Solinus is frustrated at having to condemn a citizen of his own country, but he feels that he cannot avoid it due to, as you say, the "history and structure of antipathy." By the end of the play, however, he has loosened up and allowed his own human empathy to counter that antipathy, so that he can pardon Egeon. The word ...

One way in which Brian's thoughts, feelings, and reactions change him is in his development of "tough hope." When Brian is initially confronted with landing the aircraft, his thoughts center on how he is "gonna die." As he struggles to make sense of where he is and what he should do, Brian lacks the mental stamina to endure the perils of the wilderness. Brian's thoughts, feelings, and reactions help him develop a sense of internal strength, though. Brian begins this process by recalling the words of his teacher, Mr. Perpich, who would remind his students to approach challenges incrementally and that their own self-worth can help them face any situation bravely. From here, Brian develops a will to survive. For example, his reaction to the porcupine entering his shelter is to throw the hatchet against the wall, whereby sparks develop. From this, Brian learns how to make a fire. His experiences with needing to find food sources help him create different spears ...

If $f''(x) = 3e^x + 5 \sin x, f(0) = 1$ and $f'(0) = 2$, find $f(x)$. $ \begin{equation} \begin{aligned} \text{if } f''(x) =& 3e^x + 5 \sin x, \text{ then} \\ \\ f'(x) =& \int (3e^x + 5 \sin x) dx \\ \\ f'(x) =& \int 3e^x dx + \int 5 \sin x dx \\ \\ f'(x) =& 3e^x - 5 \cos x + C_1 \end{aligned} \end{equation} $ when $f'(0) = 2$ $ \begin{equation} \begin{aligned} 2 =& 3e^0 - 5 \cos (0) + C_1 \\ \\ 2 =& 3 - 5(1) + C_1 \\ \\ C_1 =& 4 \end{aligned} \end{equation} $ Thus, $f'(x) = 3e^x - 5 \cos x + 4$ Again, by applying integration, $ \begin{equation} \begin{aligned} f(x) =& \int (3e^x - 5 \cos x + 4) dx \\ \\ f(x) =& \int 3e^x dx - \int 5 \cos x dx + \int 4 dx \\ \\ f(x) =& 3e^x - 5 \sin x + 4x + C_2 \end{aligned} \end{equation} $ when $f(0) = 1$, $ \begin{equation} \begin{aligned} 1 =& 3 e^0 - 5 \sin (0) + 4(0) + C_2 \\ \\ 1 =& 3 + C_2 \\ \\ C_2 =& -2 \end{aligned} \end{equation} $ Thus, $f(x) = 3 ...

Although these two words are related, they have very different meanings. The word democracy, for example, refers to a type of government in which power is vested in the people, instead of being concentrated in the hands of a monarch or small group. There are two types of democracy. In a direct democracy, every person votes on every single decision that is made regarding how society is governed. In contrast, in a representative democracy, the people vote for people (usually called elected representatives) to deal with administration and governance on their behalf. (This type of democracy is ideally suited to countries with large populations, such as the US, where it is impossible to let every single person vote on every single issue.) It is in a representative democracy that we find the word "election." An election is a formal process through which the people choose who will represent their interests in government. In essence, there are a number of candidates who stand in an e...

This is a broad question, but there's no doubt Protestantism has been associated with various kinds of social change, though people naturally argue about this topic. In 1905, sociologist Max Weber published an influential book called The Protestant Ethic and the Spirit of Capitalism, in which he argued that the Protestant—particularly the Calvinist—work ethic led to the Industrial Revolution. The Industrial Revolution brought massive social change to the world, upending traditional relationships between the once powerful landed aristocracy and the rest of society. Protestants also tended to be frugal, Weber argued, and this allowed them to amass capital to invest in business, also leading to economic growth and hence, social change. Because they had the wealth to found charitable institutions, they left their mark on society. For example, Quakers instituted reforms in how the insane were treated, focusing more on cure and less on restraint. Early on, dissident groups such as the Qu...

To solve the equation: 10^(3x-8)=2^(5-x) , we may take "ln" on both sides. ln(10^(3x-8))=ln(2^(5-x)) Apply natural logarithm property: ln(x^n) = n*ln(x) . (3x-8)ln(10)=(5-x)ln(2) Let 10=2*5 . (3x-8)ln(2*5)=(5-x)ln(2) Apply natural logarithm property: ln(x*y) = ln(x)+ln(y) . (3x-8)(ln(2) +ln(5))=(5-x)ln(2) Distribute to expand each side. 3xln(2) +3xln(5)-8ln(2) -8ln(5)=5ln(2)-xln(2) Isolate all terms with x's on one side. 3xln(2) +3xln(5)-8ln(2) -8ln(5) =5ln(2)-xln(2)                                   +8ln(2) +8ln(5)     +8ln(2)         +8ln(5)   ------------------------------------------------------------------------------------------ 3xln(2)+3xln(5)+0 +0 =13ln(2)-xln(2) +8ln(5)   3xln(2)+3xln(5) =13ln(2)-xln(2) +8ln(5) +xln(2)                       +xln(2) -------------------------------------------------------------------------- 4xln(2) +3xln(5) =13ln(2)-0+8ln(5) 4xln(2) +3xln(5) =13ln(2)+8ln(5) Factor out common factor x on the left side.   x(4ln(2) +3ln(5)) =13ln(2...

Hello! Let's set up the problem with the variables. Besides the given height H = 10 ft, a rectangular prism also has a length L and a width W (both in feet). Of course we know that the volume of the rectangular prism is V = H*L*W ft^3 = 10L*W ft^3, and we need to maximize it. Next, the constraint relating to the walls surface. It is not clear whether "walls" means four side walls excluding both the ceiling and the floor. I suppose walls are four vertical walls only. There are two walls of the dimensions L xx H and two walls W xx H, so their total area is 2*L*H + 2*W*H, and this is equal to S = 2000 ft^2. This equation, 2*L*H + 2*W*H = 2*L*10 + 2*W*10 = 2000, gives us the simple constraint L + W = 2000/20 = 100, so L = 100 - W. The function we need to maximize becomes V = V(W) = 10(100-W)W = -10W^2 + 1000W. It is the quadratic function of W with the negative factor a = -10 at W^2 and the factor b=1000 at W^1. Its graph is a parabola branches down and it has the only maximu...

James K. Polk took office as the eleventh President of the United States and served from 1845 to 1849. Before becoming President, Polk served as Speaker of the House of Representatives and later became Governor of Tennessee, both experiences which influenced his performance in the White House. Polk ran for President after being considered as the Democratic nominee for Vice President in 1844. He chose to pursue the presidency to oppose Henry Clay, who was opposed to the re-annexing of Texas and Oregon. Polk's presidency was characterized by his commitment to “Manifest Destiny,” a concept which held that America should seek to expand as much as possible. He was nominated on the ninth ballot and received support from such prominent figures as President Jackson. Despite the popularity of his campaign to expand United States territory into Texas, Oregon, and California, Polk's presidency was not without controversy. In his attempt to acquire Oregon, Polk put the country at risk of a...

A static character is one who does not change his or her mind or opinion throughout a story. A dynamic one does. Characters usually undergo a dynamic change when they learn a lesson that contradicts what they believed in the beginning. Della is a dynamic character because she learns a valuable lesson about the price of love. Della is a young newlywed who feels the weight of her husband's salary being cut from $30.00 a week to $20.00. Della only has $1.87 to spend on a Christmas gift for Jim, which she does not feel is not sufficient to buy a proper gift for her husband. As a result, she cuts and sells her hair to buy him a more expensive gift—a gold chain to match his gold watch. She discovers her husband sold his watch to buy her tortoise shell combs with bejeweled rims for her hair. Jim reacts by saying, "'Dell,' said he, 'let's put our Christmas presents away and keep ’em a while. They're too nice to use just at present. I sold the watch to get the money...

Illustrate the solution set $y + 3 $ \begin{equation} \begin{aligned} y + 3 & && \text{Solve the inequality for } y \\ \\ y & \\ y & \end{aligned} \end{equation} $ To graph the inequality, we first find the intercepts of the line $y = 6x + 3$. In this case, the $x$-intercept (set $y = 0$) is $\displaystyle \left( -\frac{1}{2}, 0 \right)$ $ \begin{equation} \begin{aligned} 0 &= 6x + 3 \\ \\ 6x &= -3 \\ \\ x &= -\frac{1}{2} \end{aligned} \end{equation} $ And, the $y$-intercept (set $x = 0$) is $(0,3)$ $ \begin{equation} \begin{aligned} y &= 6(0) + 3\\ \\ y &= 3 \end{aligned} \end{equation} $ So, the graph is Graph $y = 6x + 3$ as a dashed line. Shade the lower half-plane.

Wheatley's poetry as a whole is expressive of her Christianity and devout religious feeling. Often she speaks of death, as in "A Funeral Poem on the Death of C.E., an Infant of Twelve Months," "To a Lady and her Children, on the Death of Her Son and their Brother," and many other poems. Even in poems in which there is not a specific religious theme, she will often make a central point regarding God, as in the final lines of the verses to the Earl of Dartmouth: May fiery coursers sweep the ethereal plain,And bear thee upwards to that blest abode,Where, like the prophet, thou shalt find thy God. "On being brought from Africa to America" is, therefore, typical of her work in its expression of her devout religious belief and her personal rejoicing in being a Christian. What is somewhat unusual in the poem, however, is her dealing with the subject of her enslavement and the attitude of most people of European background at that time who would think to exclu...

The house and family are haunted by the phrase "there must be more money." They all hear this phrase and silently acknowledge it to each other. Neither the mother nor the father can seem to make enough money to satisfy this household urge for more money. One day, Paul asks his mother why they don't have a family car. She replies that they are poor. Paul asks why they are poor. She replies, "it's because your father has no luck." In a twisted bit of logic, Paul's mother tells him that luck is what causes someone to have money. Paul replies that he is a lucky person. Paul's mother congratulates him but it is clear that she does not believe him. Paul goes off, determined to find luck, believing that this will bring him to money. He tries to think about where to find luck. In the process, he would ride his rocking-horse and get lost in his dreams and determination to find luck. This process becomes like a trance. Riding the horse, he is trying to will hi...

There are many challenges a person may face when working on a group project. When working on a group project, you must be aware of the needs, desires, and goals of the other people working on the project. While you might have a clear vision about what should be done, you will need to consider what other people are doing and thinking. If you were working on this alone, you could do whatever you wanted, whenever you wanted. You also have to be able to handle different personalities and work styles. Other people may have a very different way of attacking a project. Some people like to wait until a deadline approaches. Others like to start working on the project right away. Some people like to think of many different options. They may think outside the box. Others want to focus on one or two key ideas. When working in a group, it is important to validate other people’s thoughts and opinions. It is important to make people understand they are important to the group. It is important to commu...

Solve the system of equations $ \begin{equation} \begin{aligned} 2x + 3y - 4z =& 4 \\ x - 6y + z =& -16 \\ -x + 3z =& 8 \end{aligned} \end{equation} $. $ \begin{equation} \begin{aligned} 4x + 6y - 8z =& 8 && 2 \times \text{Equation 1} \\ x - 6y + z =& -16 && \text{Equation 2} \\ \hline \end{aligned} \end{equation} $ $ \begin{equation} \begin{aligned} 5x \phantom{-6y} -7z =& -8 && \text{Add} \end{aligned} \end{equation} $ $ \begin{equation} \begin{aligned} 5x - 7z =& -8 && \text{Equation 4} \\ -x + 3z =& 8 && \text{Equation 3} \end{aligned} \end{equation} $ $ \begin{equation} \begin{aligned} 5x - 7z =& -8 && \\ -5x + 15z =& 40 && 5 \times \text{ Equation 3} \\ \hline \end{aligned} \end{equation} $ $ \begin{equation} \begin{aligned} \phantom{-5x + } 8z =& 32 && \text{Add} \\ z =& 4 && \text{Divide each side by $8$} \end{aligned} \end{equation} $ $ \begin{equation} \beg...

For Heidi With Blue Hair by Fleur Adcock is a poem centered around the theme of rebellion and the expression of individuality. The main character in this poem is a young student, Heidi, who dyes her hair blue as an act of personal expression and for this is sent home from school. Although Heidi is portrayed as strong-minded and rebellious, dyeing her hair is probably more a question of affirming her identity. In fact, she checks the school rules and asks for her father's permission before dyeing her hair; while she may sense that blue hair may be perceived as rebellious, the "law" is on her side. There is nothing in the rule book that prohibits dyed hair, but the school sends her home anyway with the weak argument that blue is not one of the school colors. Heidi is distraught at being sent home; she is in tears, and this allows us to see a softer, less rebellious side to her. Her father supports her and calls the school to say that she is not a punk or a rebellious girl, ...

Waverly's strict mother makes her accompany her to the local market on Saturdays when she does not have any chess tournaments. At the market, Waverly's mother introduces her to many people, which embarrasses Waverly, who ends up arguing with her mother about the uncomfortable situation. Waverly tells her mother that she feels like she is being used and is upset at the fact that her own mother is showing her off like a novelty item. Waverly then suddenly rips her hand out of her mother's and begins running away. On the surface, the argument between Waverly and her mother concerns her mother's embarrassing Saturday routine. However, their argument is an expression of Waverly's negative feelings towards her mother's authoritative personality and high expectations. Waverly's mother has taken the fun out of playing chess by continually watching over her daughter's shoulder, criticizing her tactics, and placing extremely high expectations on Waverly. Waverly f...