Notes

Helen Keller faced many challenges in her life. She was deaf and blind, and for several years she could not communicate effectively. After she learned to communicate using the manual alphabet, Helen was still not satisfied. She wanted to learn how to speak. She attended a special program for this purpose. Helen wished to broaden her horizons because she thought, "one who is entirely dependent on the manual alphabet has always a sense of restraint, of narrowness" ( The Story of My Life , Chapter XIII). Shortly after Helen learned to speak, she was accused of plagiarism because of a short story she wrote. This accusation left a deep impact on her. She lost her confidence as a writer for a while. Helen also faced other challenges. Her father passed away, and she lost dear friends. Despite these challenges, Helen did not give up. She worked hard, even graduating from college with honors. There are many lessons to be learned from Helen Keller. One lesson is to never give up. Other...

To evaluate the given integral problem:` int 2/(7e^x+4)dx` , we may apply u-substitution using:  `u= e^x ` then `du = e^x dx` .  Plug-in `u = e^x` on `du= e^x dx` , we get: `du = u dx` or `(du)/u =dx` The integral becomes: `int 2/(7e^x+4)dx =int 2/(7u+4)* (du)/u`                          `=int 2/(7u^2+4u)du`  Apply the basic properties of integration:` int c*f(x) dx= c int f(x) dx` . `int 2/(7u^2+4u)du =2int 1/(7u^2+4u)du` Apply completing the square: `7u^2+4u =(sqrt(7)u+2/sqrt(7))^2 -4/7` `2int 1/(7u^2+4u)du =2int 1/((sqrt(7)u+2/sqrt(7))^2 -4/7)du` Let `v =sqrt(7)u+2/sqrt(7)` then `dv = sqrt(7) du`  or `(dv)/sqrt(7) = du` . The integral becomes:  `2int 1/(7u^2+4u)du =2 int 1/(v^2 -4/7) *(dv)/sqrt(7)` Rationalize the denominator: `2 int 1/(v^2 -4/7) *(dv)/sqrt(7) *sqrt(7)/sqrt(7)` `= 2 int (sqrt(7)dv)/ ( 7*(v^2 -4/7))` `=2 int (sqrt(7)dv)/ ( 7v^2 -4)` From the table of integrals, we may apply `int dx/(x^2-a^2) = 1/(2a)ln[(u-a)/(u+a)]+C`  Let:` w = sqrt(7)v` then `dw = sqrt(7) dv` `2int...

Despite living in the early 15th century, Joan of Arc's story remains incredibly relevant to young people today. Like most young people today, Joan was born into ordinary circumstances. She was a peasant, so it was highly unlikely that her life would have any noticeable effect on world history. However, Joan believed that she could help rescue France from its English invaders. Although many historians believe she was insane (she reportedly heard voices which told her God was calling her to save France), modern young people can emulate the courage and valor it took for her, a teenage peasant girl, to lead an army of men against the imposing English army. Unfortunately, Joan was eventually captured and executed, but her fame continues to endure. Modern young people may never lead their nation into battle, but, like Joan of Arc, they might have the opportunity to effect change in their communities. A modern young person could, for example, start a canned food drive to help stock a loc...

Before he even meets Gollum, Bilbo has already shown himself to be brave, resilient and capable of taking initiative.  When Chapter 5 begins, Bilbo wakes up in the dark, disoriented and alone. He has been dropped and left behind in the goblin tunnels. Though scared, he manages not to panic.  He draws his little sword, finds that it glows in the dark, and decides that to "go forward" is the "only thing to do." It is under these circumstances that he steps into the edge of Gollum's lake, which, as far as Bilbo is concerned, is the end of his road. Now he really has no idea what to do. It is then that Gollum approaches him and starts speaking to him. Bilbo draws his sword, which shows that he is  prepared (if not very well-equipped) to defend himself.  Gollum, nervous of the sword and curious about Bilbo, suggests they sit and tell riddles. Bilbo, the author tells us, is anxious to agree, until he found out more about the creature, whether he was quite alone, wheth...

What an interesting question! Bard's immediate reward for killing Smaug, the dragon, is the freedom of Dale, his city. However, forthcoming events transpire which allow Bard the ability to restore both Dale and Laketown to their former glories. To recap, immediately after Smaug's death, the men of Laketown clamor to make Bard king of Esgaroth (or Laketown). However, the Master of Laketown isn't too keen on this development. He argues that Laketown has always "elected masters from among the old and wise, and have not endured the rule of mere fighting men." Bard moves on, but he eventually meets with Thorin to bargain for part of the treasure Smaug had hoarded when he was alive. Bard reasons that since Smaug had stolen much of the wealth from Dale, the people of Dale deserve some part of the treasure that the dwarves now claim for themselves. At this point, Bard also speaks up for the people of Laketown, whose city was destroyed by the dragon. Bard's position is...

To solve the equation `log_3(x)=log_9(6x)`, we may apply logarithm properties. Apply the logarithm property: `log_a(b)= (log_c(b))/log_c(a)` on `log_3(x)` , we get: `(log_9(x))/(log_9(3))=log_9(6x)` Let `3 =sqrt(9) = 9^(1/2)` `(log_9(x))/(log_9(9^(1/2)))=log_9(6x)` Apply the logarithm property: `log(x^n)= n*log(x) ` and `log_a(a)=1 ` on `log_9(9^(1/2))` . `(log_9(x))/(1/2log_9(9))=log_9(6x)` `(log_9(x))/(1/2*1)=log_9(6x)` `(log_9(x))/(1/2)=log_9(6x)` `log_9(x)*(2/1)=log_9(6x)` `2log_9(x)=log_9(6x)` Apply the logarithm property: `log(x*y)=log(x)+log(y)` on `log_9(6x)` . `2log_9(x)=log_9(6)+log_9(x)` `2log_9(x)-log_9(x)=log_9(6)` `(2-1)log_9(x)=log_9(6)` `log_9(x)=log_9(6)` Apply the logarithm property:`a^(log_a(x))=x` on both sides. `9^(log_9(x))=9^(log_9(6))` `x=6` Check: Plug-in `x=6` on `log_3(x)=log_9(6x).` `log_3(6)=?log_9(6*6)` `log_3(6)=?log_9(36)` `1.631~~1.631` Final Answer: `x=6` is a real solution for the equation `log_3(x)=log_9(6x)` .

Grandma Dowdel doesn't like the idea of feeding Mary Alice's cat table scraps because she believes that cats should be able to hunt for their own food. Also, since Grandma Dowdel has very little food to spare, table scraps are hard to come by. Additionally, the idea of cat food in a can is strange to Grandma Dowdel. It seems a little unnatural to her, considering that she's always believed all cats have natural hunter's instincts. Her personal philosophy about cats is that "they'd eat anything they could bite." In the story, Mary Alice's cat, Bootsie, eventually learns how to live like a country cat. She camps out in the cob-house and lies in wait for birds and field mice. After a time, Bootsie becomes "sleek and round," due to her country diet.

In terms of his flaws, Odysseus shows some greediness in this book.  Prior to the Cyclops' return to his home, Odysseus's men try to convince him to take some food and return to their ship; however, he "refused -- far better had [he] yielded."  He hoped that the owner of the cave would return and "offer gifts," a custom in Greece at the time because travelers were protected by Zeus.  If a host could manage, he would often provide a traveler with a guest-gift, meant to honor the guest; however, a guest was never supposed to take advantage of his host, and Odysseus is pretty presumptuous in his assumption that such a gift would be offered.  It would have been better to be safe and return to the ship with only what they needed rather than tempt fate and risk the life of his men, some of whom he does lose to the Cyclops as a result. Further, Odysseus's pride makes a big appearance as he and his men row away to escape the angry Polyphemus.  He taunts the mons...

Where there is a push, there is a pull, and just as computers offer many benefits to users, they bring some disadvantages as well. Using computers can negatively affect a person's health, but there are also some drawbacks in terms of practical skills and functional capabilities. For one, reliance on computers has resulted in a shift from personal skill to tech literacy. For example, hand-writing letters, assignments, and so on is on its way out of fashion as e-mail and word processing programs replace pen and paper. There is evidence to suggest that hand-writing facilitates retention of information better than typing, but typing has the upper hand when it comes to time! We live in a society where writing  is  still commonly practiced, but penmanship and composition skills are suffering as many people prefer to type than write. Who knows, maybe we will someday live in a world where hand-writing is totally obsolete! For now, I believe there is a disadvantage in the loss of hand-writi...

Harry Potter and the Sorcerer's Stone has religious undertones in the Christ-like figure that Harry is made into. The comparisons between Jesus Christ and Harry Potter begin wherein Harry is described as The Chosen One. Harry was a miraculous child that survived a vicious attack from Lord Voldemort, thus defeating the Dark Lord. In The Bible, Jesus Christ is referred to as a chosen son of God to walk the Earth in God's image. In Christianity, it is often believed that Jesus is the only way Satan will be kept at bay. Jesus is also a miracle child in that he was born to the virginal Mary. As the story of The  Sorcerer's Stone progresses, a lot of myth and wonder surrounds Harry. When he meets wizards and witches for the first time, they reach out to shake his hand and thank him for the kindness he has done in ridding the world of Lord Voldemort. Jesus Christ plays a similar role in The Bible , healing lepers and sinners alike. Men and women gather to see Jesus in real life,...

Throughout "Damon and Pythias," Guerber uses the literary element of characterization to paint Dionysius' development from a cruel tyrant into a redeemed leader. Dionysius' growth as a character is rooted in his interactions with Damon and Pythias. In the beginning of the story, Dionysius sentences Pythias to death because of his egoism and paranoia. He allows Pythias to return home to settle his affairs as long as he leaves Damon in his place, but the tyrant does not believe that his original prisoner will return. As the story progresses, Dionysius comes to admire and even envy Damon's devotion to his friend. Through their interactions, it becomes clear that Dionysius is lonely and disillusioned due to his social standing. This revelation makes him a more sympathetic character and hints at the personal growth he exhibits in the final act. At the end of the story, when Damon is moments away from being executed in Pythias' place, Dionysius is shocked to realize...

The theory in this article is that crime reports in New York City might contain flawed data, so relying on this data to measure police effectiveness in the city is problematic. For example, lower-ranking officers might be manipulating crime reports to conform to the demands of higher-ranking police officials and their efforts to make sure the data show lower crime rates.  To operationalize this theory, an e-mail survey was sent to 1,962 retired New York City Police Department (NYPD) officers in 2012. Their e-mail addresses were found through the NYPD database of active retirees. Respondents were able to answer the survey anonymously, and, as they were retired, they did not have to fear workplace retribution for their answers to the survey. The analysis of the survey compared officers' answers about the manipulation of crime reports based on their years of retirement. The survey analysis also looked at whether the officers felt pressure to change crime reports so that they reflected...

In "A Service of Love," Delia secretly ironed shirts at a laundry service shop in order to earn her weekly wages of fifteen dollars. Meanwhile, her husband would have been none the wiser if a chance accident at the laundry shop hadn't happened. Accordingly, Delia took the job because she did not want her husband, Joe, to have to give up his art lessons. Knowing that Joe would never have consented to his wife slaving away for his benefit, Delia made up an elaborate story about having found a new piano student. The student, a daughter of the supposedly wealthy General A. B. Pinkney, was claimed by Delia to be a model pupil. The general, too, was proclaimed to be an indulgent father whose only delight in life was his daughter's happiness. One day, when a co-worker accidentally set a hot iron on Delia's hand, the resourceful wife realized that she had to concoct a believable alibi to ease her husband's suspicions. However, Joe eventually discovered the truth, as h...

`(6x)/(x+4)+4=(2x+2)/(x-1)` LCD is `(x+4)(x-1)` Multiply each term of the equation by LCD and simplify, `(x+4)(x-1)((6x)/(x+4))+4(x+4)(x-1)=(x+4)(x-1)((2x+2)/(x-1))` `6x(x-1)+4(x+4)(x-1)=(x+4)(2x+2)` `6x^2-6x+4(x(x-1)+4(x-1))=x(2x+2)+4(2x+2)` `6x^2-6x+4(x^2-x+4x-4)=2x^2+2x+8x+8` `6x^2-6x+4(x^2+3x-4)=2x^2+10x+8` `6x^2-6x+4x^2+12x-16=2x^2+10x+8` `6x^2+4x^2-6x+12x-16=2x^2+10x+8` `10x^2+6x-16=2x^2+10x+8` Isolate the terms containing x, `10x^2-2x^2+6x-10x=8+16` `8x^2-4x=24` `8x^2-4x-24=0` Factorize , `4(2x^2-x-6)=0` `4(2x^2-4x+3x-6)=0` `4(2x(x-2)+3(x-2))=0` `4(x-2)(2x+3)=0` Use the zero product property, `x-2=0`  or `2x+3=0` `x=2`   or `2x=-3` `x=2`  or `x=-3/2` `` Let's check the solutions by plugging them in the original equation, For x=2, `(6*2)/(2+4)+4=(2*2+2)/(2-1)` `(12)/6+4=6/1` `2+4=6` `6=6` It's true. For x=`-3/2` , `(6(-3/2))/(-3/2+4)+4=(2(-3/2)+2)/(-3/2-1)` `-9/(5/2)+4=(-1)/(-5/2)` `-18/5+4=2/5` `(-18+20)/5=2/5` `2/5=2/5` It's true, So, Solutions of the equation are 2...

The Devil's congregation is described as being made up of all kinds of people, the high and the low, those believed to be pious and the known sinners, the young and the old.  Goodman Brown is shocked to see the faces of those involved in government, and even religious leaders of the community, those who "looked devoutly heavenward" each Sunday as they faced their congregations from their pulpits.  Even the governor's wife was there.  He sees young girls hiding from their mothers, and "a score of church-members of Salem village, famous for their especial sanctity."  Mixed in with these are men who lead "dissolute lives" and "women of spotted fame," and even some people who are suspected of having committed truly heinous crimes. During the Devil's service, the converts -- Goodman Brown and his wife, Faith -- are led forward into a clearing filled with the perverse company described above, while all the trees of the forest around them se...

Crooks is an older man whose body is literally bent to the left; he is a "cripple," in Steinbeck's words. He lives by himself in his own bunk in the harness room with a few spartan possessions, and his attitude is aloof and distant from the other men on the ranch. He takes care of the horses on the ranch.  Crooks is lonely because he is the only African-American man for miles around. While he was born in California, where his father owned a chicken ranch, he has always felt different and unaccepted because of his race. He has become used to being alone and lonely, but he also has an element of bitterness. He relates well to Lennie, though Crooks is initially hostile to Lennie and taunts Lennie by telling him George will never come home. Crooks begins to become excited about living with Lennie and George on the ranch they plan to start, but this excitement is only a temporary break in his loneliness. 

Slavery was officially abolished in the U.S. by the 13th Amendment following the Emancipation Proclamation during the American Civil War. President Abraham Lincoln first issued the Emancipation Proclamation as the country was approaching the third year of the war. The statement declared freedom for slaves held in the secessionist states, however, not much was mentioned about slaves in other areas. The statement had some effect on slavery, but it was not enough to end the practice. The President, reconciled, that to completely abolish slavery, amendments to the constitution were necessary. Thus, he rallied support for the 13th amendment, which passed in the Senate at the end of the Civil War in 1864. A year later, and after much lobbying among House representative, the amendment passed in Congress. The constitutional amendment, extended basic civil rights to the slaves, however, more work was required to protect and expand the rights while addressing discrimination. The situation saw th...

Like many empires throughout history, the Ottoman Empire conquered many people and sought to convert them to their own religion. Those that did not convert were given second-class status, called zimmis, granted some limited autonomy but still subject to Ottoman rule and Islamic law. This was better than religious minorities were treated in many other parts of the world, but hardly equality. The Ottoman Sultan Marad I formed the Janissary from captured Christians who were pressed into service as a personal bodyguard for the Sultan. His successor, Marad II, expanded their role to be an elite military corps that served a variety of functions---but still maintained the general practice of pressing Christians into service. Eventually they became a powerful interest group in their own right. In a time when most armies were gathered ad hoc from serfs and peasants, the Janissary formed something much closer to a modern standing army. They used firearms, which at the time were state-of-the-art....

There are several things to consider when writing a cover letter. I will assume this is a cover letter for a job. At the top of the page, in the center, you should list your name, address, city, state, and zip code, and some contact information. The next step is to write out the date. Then you begin the body of the cover letter. Be sure to start with a greeting. You should then indicate that you are applying for a specific job. Be very clear about which job you are applying for. You should indicate what materials are being sent or where those materials can be accessed. It might be helpful to indicate the name of a person who may have steered you to the job. Make sure you show you are passionate and excited in the opening. Here is a sample cover letter. It could look like this:                                            John Smith                                            1111 Willow Way                                            My City, CA 91609                                       ...

On the Keller property was a small house called "Ivy Green."  This house had a garden, which Helen considered to be a sort of paradise.  She found solace in the garden even during the dark days before Miss Sullivan arrived to be her teacher.  She used her remaining senses of touch and smell to enjoy the beauty of the garden.  Helen described this in her autobiography: I used to feel along the square stiff boxwood hedges, and, guided by the sense of smell, would find the first violets and lilies ( The Story of My Life , Chapter I). The garden was a place where Helen found comfort when she was upset or frustrated.  She went there alone to touch and smell the plants, trees, and flowers.  She learned to recognize the flowers and plants by their scent and feel.  She especially loved the roses in the garden.  The roses in the garden at home were better than roses anywhere else in Helen's opinion.

Abraham and Balthasar start a fight with Sampson and Gregory as part of the Montague-Capulet Feud. Sampson and Gregory represent the House of Capulet, and Abraham and Balthasar represent the House of Montague.  The two families are in a feud that affects everyone even remotely related to them.  For this reason, apparently you can’t even walk on the street in Verona without a brawl starting. Abraham and Balthasar’s brawl starts pretty innocently.   They are walking along in the street (with swords, of course), when Sampson insults them.  He does so slyly and silently, with what would be the equivalent of the modern middle finger.  Abraham calls him out on it. Enter ABRAHAM and BALTHASAR ABRAHAM Do you bite your thumb at us, sir? SAMPSON I do bite my thumb, sir. ABRAHAM Do you bite your thumb at us, sir? SAMPSON [Aside to GREGORY] Is the law of our side, if I say ay? GREGORY No. (Act 1, Scene 1)  Balthasar doesn’t say anything, but he seems to engage in the fight.  Benvolio, another Mont...

In "The Sieve and the Sand", Montag's wife, Mildred, invites some of her friends over to watch parlor programs. Montag, growing increasingly skeptical of society, decides to shut off the parlor and attempt to draw some conversation out of the women. Their responses infuriate him, despite Faber attempting to calm him over the ear-radio they share, and Montag calls them "monsters talking about monsters", taking particular issue with "the way" they talk about things. The three subjects the women talk about are the war, their children, and politics. None of the women seem to have any regard for the danger of the war, attempting to keep up a cheerful attitude that it will be over in two days, with no casualties of any personal importance to them. One is repulsed at the thought of children, but the other says she had two by cesarean section (despite being fully capable of giving birth, but not wanting to be inconvenienced) and that now she puts her children ...

Odysseus's crew is not often portrayed in a flattering light.  There are a great many times when they let him down, and their disobedience eventually costs them their lives.  First, when they land at Ismarus, the first place they stop after the end of the Trojan War, Odysseus advises them to take the spoils from the city they've sacked, and leave right away.  However, they choose to stay and get really drunk instead.  They pass out and are ambushed by the survivors of their attack, and six men from each ship are killed.  They lack forethought and are somewhat gluttonous. Do they learn?  No!  Aeolus, keeper of the winds, gives Odysseus a sack containing all the winds but the one which would blow them home to Ithaca.  Odysseus doesn't sleep for the entirety of the journey, until they can see their home's shores.  When he finally does fall asleep, the crew opens the sack, thinking it contains treasure that he is hoarding, and they are blow all the way back to Aeolia.  They...

Several characters could be considered responsible for Lennie's death, but in my opinion, Curley's wife is responsible. When Lennie is talking with Curley's wife, he tells her that he likes to pet nice things. Curley's wife listens as Lennie tells her how he wishes that he could pet a piece of velvet. She then willingly allows Lennie to stroke her hair. However, Lennie does not know his own strength and begins to tighten his grip when she tells him to stop. Curley's wife then begins to scream and Lennie panics. Unable to stop Curley's wife from screaming, Lennie jerks his arm and accidentally breaks her neck. Lennie then realizes he is in trouble and flees to the meeting spot by the river. Had Curley's wife been more discerning, she would have never let Lennie touch her hair, and George would have never had to spare Lennie from Curley's angry mob by shooting him. 

In this assignment, you are being asked to write a "compare and contrast" essay. This means that your instructor is asking you to view the poem analytically rather than simply summarizing the poem. To do this, you want to look for specific characteristics to compare and contrast as the basis for organizing your poem. You should also mention that these are, as is common in ballads and folk tales, essentially flat characters. You might want to structure your essay as follows: Introduction: Give a very short overview of the poem's basic narrative and the role of the two characters, the Abbot as the one who placed the bell and Sir Ralph as a pirate. Social Class: The Abbot is the leader of a monastery and presumably of a relatively high social class. The title " Sir Ralph" suggests that Sir Ralph was a member of the gentry by birth. Religion: The Abbot is a monk, dedicated to his religion, who has renounced worldly rewards for spiritual ones. Both Sir Ralph and the...

Initially, Lady Macbeth thinks of her husband as ambitious but ultimately "too full o' th' milk of human kindness" to do anything disloyal or untoward in order to achieve his potential, as outlined by the Weird Sisters (1.5.17).  She believes him to be incapable of ruthlessness and also easy for her to manipulate.  After she receives the letter in which he acquaints her with the Weird Sisters' predictions for his future, she hopes that he will come home quickly so that she can "pour [her] spirits in [his] ear" and convince him that he will need to do something dramatic in order to bring his destiny nearer.  Ambition seems to motivate her plans for the future.  She wants Macbeth to be king, and the prospect of becoming queen seems quite desirable to her.  When Macbeth arrives home, she tells him, "Thy letters have transported me beyond / This ignorant present, and I feel now / The future in the instant" (1.5.64-66).  She is anxious to bring the ...

There have been many stock market crashes in American history, but the highest profile crash occurred in October of 1929. The crash really began on Thursday, October 25, when the market suffered tremendous losses only to be stabilized by a coalition of investment bankers who pumped money into the market. On October 29, forever known as "Black Tuesday," the market completely collapsed, as losses spiraled out of control. Investors, fearing a larger economic downturn as the 1920s came to a close, engaged in a mass sellout that devolved into a panic. By the end of the day, the market had witnessed over 16 million shares traded (a record to that point), and experienced the modern equivalent of of over 300 billion dollars. The crash heralded (even if it didn't exactly cause) the outbreak of the Great Depression. It also served as a sobering end to the so-called "roaring" Twenties.

Human beings and plants absorb and expel different gasses from their systems as needed. In human beings, oxygen is important for the functioning of the cells. Oxygen is the fuel our body cells use to convert the food we eat into energy. During the energy generation process, carbon dioxide is produced as waste, and the body gets rid of it through respiration. Thus, during respiration, human beings take in oxygen and remove carbon dioxide based on the body's requirements. During photosynthesis, which occurs during the day, plants use light energy, carbon dioxide, and water to produce food/ energy. Oxygen is also produced and released as waste. In the dark, plants take in oxygen for respiration and expel carbon dioxide. At night, both plants and human beings use up oxygen, as it is available for both organisms. Plants and human beings do not utilize the net available atmospheric oxygen. In addition, the current number of organisms is incapable of using all the atmospheric oxygen avail...

One of the lessons in Love Medicine is the power of tradition and the interconnectedness of the different Native American families in the book. In the chapter entitled "Love Medicine (1982)," Lipsha Morissey learns about the power of Chippewa tradition when his grandmother, Marie, tells him about "love medicine," a kind of Chippewa ritual. Though his attempt to use love medicine fails miserably at first, Lipsha realizes the power of his tradition and heritage. His grandfather dies when Lipsha tries to use a form of love medicine to bring his grandfather and grandmother back together; however, after death, Lipsha's grandfather visits Lipsha's grandmother. She then realizes that she and her deceased husband are still connected, so Lipsha's form of Chippewa faith and religious practice actually unites his grandparents. In addition, all of the extended family comes back to attend the grandfather's funeral, and, in this way, Chippewa faith also unites th...

`8^(x-1)=32^(3x-2)` To solve, factor 8 and 32. `(2^3)^(x-1)=(2^5)^(3x-2)` To simplify each side, apply the exponent rule `(a^m)^n = a^(m*n)` . `2^(3*(x-1)) = 2^(5*(3x-2))` `2^(3x-3) = 2^(15x-10)` Since both sides have the same base, to solve for the value of x, set the exponent at the left equal to the exponent at the right. `3x-3=15x-10` `3x-15x=3-10` `-12x = -7` `x=7/12` Therefore, the solution is `x=7/12` .

Yes. Daniel specifically runs away from Amalek to join Rosh's band in the mountains because of Amalek's harsh treatment. Daniel risked his life and nearly died running away from Amalek, which gives the reader an insight into how badly Amalek treated Daniel. In Chapter 1, Daniel introduces himself to Joel and Malthace, who are hiking up the mountain during their holiday break. Initially, Joel does not recognize Daniel. After Daniel tells Joel his full name, Joel remembers who he is and says, "The apprentice who ran away from the blacksmith?...No one blamed you...Everyone knows how Amalek treats his boys" (Speare 4). Daniel then tells Joel to give a message to Simon, another boy who worked under Amalek, explaining that he joined Rosh's band in the mountains. When Joel and Malthace leave, Daniel wishes that he could go back to the village but fears being enslaved to Amalek again . In the next chapter, Simon visits Daniel and tells him that he can come back to the v...

A cantonment is a military base in India.  The Kipling Society notes that the Segowlee Cantonment is a fictitious location; however, a cantonment is a real place where soldiers live and train.  A cantonment is a place for warriors.     It makes sense that this story happens in a place where warriors live because Rikki-tikki is a warrior.  He may not be fighting humans, and he may not have human weapons of war, but that doesn't mean Rikki-tikki isn't a warrior with warrior weapons.  He's very quick, and has teeth that are capable of stabbing flesh for the killing blow.  Rikki-tikki is asked to put his warrior skills into practice during this story too.  He kills three deadly snakes over the course of the short story.  For a children's story, the body count is fairly high.   The opening paragraph of the story also helps sell the cantonment setting.   This is the story of the great war that Rikkitikki-tavi fought single-handed. . .  Readers are introduced to a character fi...

In Shakespeare's Romeo and Juliet , the characters have a dual relationship with religion . On the one hand, they see religion as playing a key role in all major aspects of their lives such as marriage and death. On the other hand, none of the characters are what one would call devout Christians, as the tenants of Christianity do not affect their everyday lives, evident by immoral behavior like their constant fighting. Evidence that religion plays a part in the major aspects of the characters' lives is seen in the fact that both Romeo and Juliet go to Friar Lawrence for advice concerning lust, marriage, and death. In the scene when Romeo goes to Friar Lawrence to ask him to perform the wedding, it becomes evident that Romeo sees Friar Lawrence as important enough in his life for Romeo to have confessed to Friar Laurence his feelings for Rosaline , as we see when Friar Laurence exclaims, "God pardon sin! wast thou with Rosaline?" (Act II, Scene 3, line 44). Yet, desp...

“Downright” is a compound word (“down” and “right”) that serves as a particular kind of modifier because it can serve as both an adjective and an adverb. It modifies either a noun or an adjective, as follows: “It’s a downright shame” (an adjective modifying the noun “shame”) or “It’s downright shameful” (an adverb modifying the adjective “shameful”). Its main meaning is “absolute,” “plain,” or “undeniable.” Long ago, it also meant “looking straight downward.” But that meaning is now obsolete. In informal speech, it emphasizes a non-contestable speech utterance. It is seldom used in formal or legal language because it is rhetorical rather than provable. Any responder can argue that the contested statement is in fact deniable, as in "You say his tattoos are downright shameful, but in many cultures body decoration is considered beautiful."

Christianity and Islam share a number of characteristics.  Both religions are monotheistic and worship the same god.  With this common heritage, many of the beliefs about the prophets are shared.  Both religions believe that prophets are sent as messengers from God.  Islam recognizes all of the prophets of Christianity, including Jesus. The Pillars of Islam, which every dutiful Muslim are expected to practice, have similarities to the practices of Christians.  Fasting during Ramadan is similar to the fasting the Christians do during lent.  The principle of giving to the poor, or alms-giving, is important to both religions.  Prayer is important to the adherents of both faiths as a way of connecting to God.  Both religions believe in a judgement at the end of life and the concepts of heaven and hell.   Since both religions are offshoots of Judaism there are more similarities than differences between these two religions.  

Starting with Hansberry's own description of Mama in Act One, Mama is a strong character, " a woman who has adjusted to many things in life and overcome many more ."  Mama has dealt with many obstacles in her life, from the disappointment of not achieving her dreams along with living in poverty and working hard for very little. She is also a woman who has to teach her children to be strong in the face of adversity. Mama is also full of hope, using that strength to continue to look toward the future optimistically.  Mama's plant is a symbol of that hope and those dreams: She cares for it and nurtures it as she does her children and grandchild, knowing that it will continue to live, though Hansberry describes it as living "doggedly." The reader discovers at the end of the play that Mama's hopes and dreams do come true, and she will soon have a garden and yard in which her plant can thrive.   Finally, Mama is forgiving and trusting.  Mama has had to watch h...

Chapter 1, "Montagnais Hunters of the Northern Woodlands," is about the Montagnais and is based on the writings of Father Paul Le Jeune (1592-1664), the first superior of the New France mission. By the time Le Jeune first encountered the Montagnais, the tribe had been trading with the French for about half a century but had largely kept their ancestral ways. They spent the summers fishing and collecting berries along the St. Lawrence, and they spent the winters inland hunting. Their spiritual beliefs could be described as "animistic," as they believed animals and the land held spirits.  In 1633, Father Le Jeune followed the Montagnais while they were searching for game. The group was led by Mestigoit, who had earlier converted to Christianity and then returned to his Montagnais beliefs. Le Jeune wanted to learn about their beliefs and language while trying to convert them to Christianity. As Le Jeune struggled to survive, he did not impress the Native Americans arou...

Composed during the Restoration period (specifically in the late seventeenth century), Aphra Behn's play The Lucky Chance features a fairly basic, but nonetheless compelling, plot. A certain older gentlemen, Sir Feeble Fainwood, purchases the young and lovely Leticia Bredwell to serve as his bride. Tension arises when we discover that Leticia is actually in love with another man—though he is poor and much younger than Sir Fainwood. In addition, Sir Fainwood's friend, Sir Cautious Fulbank, procures Julia (Leticia's peer) to be his bride, even though she too is in love with a young and destitute man. Both women and their respective mates resolve to free themselves of the situation at hand so that each couple can be together. Overall, the content of the play implicates the institution of arranged marriage (which was prevalent at the time), and illuminates the tension between marital servitude and romantic desire.

I think you might be talking about the process of convection. Here’s a useful way to thinking about it: on a very basic level, clouds are essentially formed in two major ways – vertically and horizontally. When a cloud is formed “horizontally,” two air currents with different temperatures collide head on, like two cars crashing. When two currents collide, the warmer air is pushed up and over the cooler air, because warmer air is less dense. If the cold air hits warm air, the warm air is pushed up and can form thunderstorms. If warm air hits a cold air front, however, it slides more gently over the top of the cold air and is slowly cooled, creating stratus clouds. (This whole process can also happen when an air current hits a mountain. It’s forced up and over the mountain, cooling as it rises and forming cloud cover and rain on the other side of the mountain.) That’s the “horizontal” approach. The “vertical approach” is through convection. Convection is heat transfer through the motion ...

It is a common experience that when we pour hot tea in a mug, the mug gets warm and we have to hold it using its handle. This is simply because heat from the tea has been transferred to the mug. Similarly, over the course of the next few minutes, the tea and the mug get cold. This happens because the mug and the tea lose heat to the colder surroundings.  This shows that heat flows from a region of higher temperature to a region of lower temperature. This rule always holds true. In the present case, the plastic cup is at 70 degrees F while the water is at 40 degrees F. The heat will flow from the hotter substance to the colder substance, which means it will flow from the plastic cup to the water (in this case). The heat transfer would be faster initially, since the temperature difference is higher between the two regions. Over time, as the water's temperature goes up and that of the cup goes down, heat transfer will slow down. In the end, both the objects will come to the same tempe...

In Act I, Scene 4 of Romeo and Juliet , Mercutio tells Romeo that Queen Mab has visited Romeo in his sleep. Queen Mab is a curious creature who is "no bigger than an agate stone/ On the forefinger of an alderman" (I.4.56-57). In other words, she is a tiny creature who is as big as a ring. Her mini wagon is pulled by a gnat. She rides through lovers' brains and makes them dream of love. When Queen Mab drives over the lips of women, they, "straight on kisses dream, /Which oft the angry Mab with blisters plagues, /Because their breaths with sweetmeats tainted are" (I.4.77-79). In other words, Queen Mab rides over women's lips, and they dream of kisses. Then, Queen Mab gives them blisters because their breath smells like candy, which she does not like. This story is a metaphor for the idea that love can bring with it suffering and punishment. Shakespeare used this story to foreshadow the punishment that will come to the lovers, Romeo and Juliet.

The Colonial era in the United States is usually referring to the early 1600s until 1776.  Jamestown was first settled in 1607, which marks the beginning of the Colonial era.  The Thirteen Colonies declared themselves independent from England in 1776, which marks the end of the period. The most striking similarity between the Colonial period and now is the political unrest.  In the years leading up the the American Revolution, most people were divided into two ways of thinking.  Loyalists were loyal to England and King George III.  They wanted the Thirteen Colonies to remain under British rule.  Patriots wanted to separate themselves from Britain.  Some Patriots wanted to remain part of Britain, but they wished for the colonies to have more freedoms and choices. Similar to those days, today in America most people belong to one of two political parties.  Democrats prefer a liberal way of thinking, while Republicans choose a conservative way of thinking.   In the Colonial days, people we...

For this assignment, you should focus on the aspects of Portia’s personality that Shakespeare introduces in the play and the information she would have had. Portia is passionate, resourceful, and a tiny bit crazy. She would definitely know what Antony said in his speech because she would have been listening. She would also know Antony condemned her husband and use this information to try to convince Brutus to leave with her. Portia is Cato’s daughter, a fact she is proud of, and she loves her husband. Cato killed himself after being defeated by Caesar. This is not really discussed in the play, but Portia does mention Cato and you could use that. Portia would do anything to protect Brutus and she can be pretty persuasive. She even says she will stab herself in the thigh to prove her loyalty to him. Tell me your counsels, I will not disclose 'em: I have made strong proof of my constancy, Giving myself a voluntary wound Here, in the thigh: can I bear that with patience. And not my hus...

Ernest Hemingway's short story "Soldier's Home" is about a returning World War I veteran who fought in some of the most important battles of the war. There are essentially only four characters represented in the story: Harold Krebs, his mother, father and sister. Krebs apparently is suffering ill effects from his experience in the war. He lacks motivation and claims that he wishes to avoid complications and for everything in his life to "go smoothly." His days are spent basically in an idle state, sleeping late, spending time at the library (trying to sort through books on the war to figure out what really happened to him) and shooting pool. He is unable to communicate his unease about what he went through in the war and tends to avoid interpersonal relationships. In today's terms it might be said that Krebs suffers from post-traumatic stress disorder. His psychological state is one of a man who has experienced the horrors of war and is not capable of re...

In Sherry's article, the central issue is how to ensure that students learn material before being passed on to the next grade. Sherry's thesis is that our current educational system fails children when it passes them to the next grade level even though they lack the basic skills. She believes this is why some students graduate from high school even though they are illiterate.  Sherry feels that this is the result of an educational system that no longer "flunks" students: ...I see a parade of students who are angry and resentful for having been passed along until they could no longer even pretend to keep up. Of average intelligence or better, they eventually quit school, concluding they were too dumb to finish. 'I should have been held back,' is a comment I hear frequently. Even sadder are those students who are high-school graduates who say to me after a few weeks of class, 'I don't know how I ever got a high-school diploma." Sherry believes in th...

I don't think there's any "hidden" meaning to Cecily. At a fairly young age, she is both innocent and quick-witted, uneducated and capable of intuiting the ways of the world. She is also hopelessly romantic and very imaginative, but that doesn't stop her from getting precisely what she wants: Ernest, er, Algernon. It says a lot about both her character and Algernon's that her feverish imagination controls much of her life and manages to attract rather than repel him. She imagines a courtship and a betrothal (later broken off, and then reinstated), gifts and letters, all before she'd ever met the man because she'd heard about how terribly "wicked" he is from her guardian, Jack. Her ability to create such fantasies and to seem to wholeheartedly believe them, as well as Algernon's relatively prompt acceptance of such eccentricity, actually seems to make them rather perfect for each other, which is both a compliment to and somewhat of a criti...

The atmosphere of Ernest Hemingway's story "A Day's Wait" is somber and negative. There is nothing cheerful about this "slice of life" story; it begins negatively and ends somberly. In fact, the negative atmosphere serves to amplify the seriousness of the effects upon Schatz's psyche as he lies alone in his room, believing that he is going to die. For, when the doctor visits, Schatz overhears him tell his father that his temperature is one hundred and two, but Schatz believes the doctor expresses this temperature in Celsius. After hearing the doctor, Schatz's ... face was very white and there were dark areas under his eyes. He lay still in the bed and seemed very detached from what was going on. The boy is reticent about his condition and his feelings, so the father does not recognize Schatz's fear that he is going to die. Simply assuming that his son might wish to be alone, the father leaves for a while. But, when he returns, he finds that the b...

Miss Strangeworth seems like a nice, simple little old lady in the opening part of the story. But she turns out to be a complicated character. The three letters she writes when she gets home have one thing in common. They betray the fact that she is unconsciously filled with envy at people who have something in their lives that has always been missing in hers. She tells herself that writing her letters is fulfilling a civic duty, warning people against the possibility of something bad happening to them if they are not watchful. But in each of the three letters we actually read, we can see that she has a motive she is not even aware of herself. The letter she writes to Don Crane strongly suggests that she envies him and his wife for having a baby they both adore. She has never been married and may have always dreamt of having a baby of her own. Of course, it is too late now. So she warns Don against having any more babies. She writes:  Didn’t you ever see an idiot child before? Some peo...

ATP is short for adenosine triphosphate. It is the universal unit of energy used by biological cells, and it is produced in the mitochondria.  When a cell needs energy, it gets it from ATP.  The name itself tells a great deal about the structure of ATP.  A single ATP is composed of three parts.  The first part is a base.  In this case, the base is adenine.  The second part of the molecule is a sugar.  The sugar is a ribose.  The third part of the ATP molecule is a phosphate chain.  As the name implies, ATP contains three phosphates.   The phosphate bonds are important because it is the phosphate bonds that carry a lot of potential energy.  When a cell needs energy, a phosphate is removed from the chain. When the bond breaks, the potential energy is released.  Some of my students have a hard time understanding how something "breaking" can release energy.  I illustrate it by stretching a rubber band until it breaks.  The potential energy of the stretched rubber band releases a...

Gene returns to Devon in the fall fifteen years after he graduated. Autumn usually signifies age, or the process of aging, which also connects to the time since he's been at the school. As people generally do when they have aged, Gene reminisces about his teenage years, the people he knew and the things he did or accomplished. Gene says that the weather is "raw" and the day is "the kind of wet, self-pitying November day when every speck of dirt stands out clearly. . . but this day it blew wet, moody gusts all around me" (10). There is a lot of symbolism in what he says here. First, the word "raw" suggests that his memories are fresh in his mind. Next, Gene might also be in a state of self-pity since he applies that feeling to the weather. Then, he says the wind is moody, which is just how Gene feels—he also says that he is feeling fear and joy at the same time. When Gene gets to the tree that he and Phineas had jumped from while in high school, he desc...

"Classical Greece" was really not a single nation or state in the modern sense. Instead, the Greek mainland and nearby islands were a series of independent city-states ( poleis ) inhabited by people speaking a common language, albeit with dialectal variations. One significant reason for this was geographical. Greece is mountainous, making land travel between different Greek cities quite slow and difficult, something that would have impeded both political unification and military conquest. We see a similar pattern in the history of Switzerland, also a country geographically divided by mountainous terrain. Greece was not actually unified in the classical period until conquered from the outside by Macedon. In a sense though, individual poleis such as Sparta and Athens were strongly centralized, with the city controlling the surrounding countryside; it is not that the ancient Greek city states were not centralized so much as that they remained small, centralized, tightly knit co...

Arthur Conan Doyle provides the reader with many rich descriptions of Baskerville Hall. In Chapter Six, readers get their first look at the exterior of the residence, and it's a bleak one. After passing through a gate described as "…a maze of fantastic tracery in wrought iron, with weather-bitten pillars on either side, blotched with lichens, and surmounted by the boars’ heads," Watson and Sir Henry look down a long drive "to where the house glimmered like a ghost at the farther end."   The whole front, says Watson, was draped in ivy, "with a patch clipped bare here and there where a window or a coat of arms broke through the dark veil." He goes on to describe the building in gloomy terms, evoking sensory imagery of something dark, cold, sharp, and ancient: "From this central block rose the twin towers, ancient, crenellated, and pierced with many loopholes. To right and left of the turrets were more modern wings of black granite. A dull light shon...

It's a misconception that either cats or dogs see in black and white. They can't perceive the same range of colors that we do, but they do perceive some colors. Color vision depends on how many types of cone cells you have in your eye. Animals with four (like birds) are called tetrachromats. They see the broadest range of colors. Animals with three are called trichromats. They include humans, apes, and Old World Monkeys. Cats and dogs, like many other placental mammals, are dichromats. They have two types of cone. That's very different from having only one type of cone (which is the case for monochromats, like whales and owl monkeys). In experiments testing color discrimination (including a new study conducted in 2016), both cats and dogs have performed in ways that suggest their perception is similar to that of a human deuteuranope. In this condition, a person can see yellow-greens and blue, but not red. Reds and oranges are perceived as being olive or yellow-green.

Actually, both sides had access to the same technologies, but the main factor in the war would be their willingness and ability to use them.  In terms of battlefield technology, I will have to say that the Central Powers (especially Germany) were quite innovative in terms of their technology.  Germans were the first to use chemical warfare--actually, the first chemicals used were byproducts of industrial processes happening in German factories.  The German submarine sank a lot of Allied merchant shipping, driving up insurance rates for merchants selling to Britain and France.  German airplanes and pilots were often better during the war as well.  Technology is great, but does not win wars, however.  In terms of overall technology, though, I have to say that the Allies had superior overall technology.  Within the first few weeks of the war, Britain cut the trans-Atlantic cable between Germany and America--this led to only the Allied side of news getting through to Americans.  Britain wa...

The Reign of Terror in Revolutionary France, also known as Le Terreur, refers to the violent period in Revolutionary France in which revolutionaries performed mass executions. These executions were performed by guillotine and claimed the lives of many members of the French nobility and monarchy, including King Louis XVI and Marie Antoinette, as well as those who rebelled against revolutionaries. One cause of the Reign of Terror may have been public anger at the failures of the revolution, which failed to provide the levels of socioeconomic quality some revolutionaries and peasants had hoped for. Another reason for the violence in this era may have been social control in an unstable era of potential international and civil wars. The guillotine was deployed not only against the French bourgoisie but also those labeled as counter-revolutionaries and those who rebelled against the militant Jacobin Committee of Public Safety. These interpretations vary based on whether the French proletaria...

Duke Ferrara, the speaker in Robert Browning's dramatic monologue "My Last Duchess," wields absolute power within his sphere of influence. The poem gives insight into his power over artists and their work, over his employees, over his wife, and over the Count and his representative. The Duke commissioned artists to create for him: Fra Pandolf to paint a portrait of his last Duchess and Claus of Innsbruck to cast a statue in bronze of Neptune taming a seahorse. The Duke displays a derisive tone toward Fra Pandolf when he speculates how Fra Pandolf was able to call "that spot of joy into the Duchess' cheek." He was evidently satisfied with the painting, though, because he shows it off to the person he is speaking to in the poem, namely the agent from a Count who is there to negotiate the dowry for the Duke's next Duchess. The Duke keeps the painting behind a curtain and only he draws it open for visitors to view the painting; thus he exercises full power o...

To solve the given equation `7^(6x)=12` , we may take "`ln` " on both sides of the equation. `ln(7^(6x))=ln(12)` Apply natural logarithm property: `n*ln (x)=ln (x^n)` . `6x*ln(7)=ln(12)` Divide both sides by `6ln(7)` . `(6x*ln(7))/(6ln(7))=(ln(12))/(6ln(7))` `x=(ln(12))/(6ln(7))` `x=(ln(12))/(ln(117649)) `  or   `0.213` (approximated value) Checking: Plug-in `x=0.213` on `7^(6x)=12` . `7^(6*0.213)=?12` `7^(1.278)=?12` `12.02~~12`   TRUE Thus, the `x=(ln(12))/(6ln(7))` is the real exact solution of the equation `7^(6x)=12` .

Trench warfare was extremely common during World War I.  Trenches were dug as a means of protection.   New technology meant that weapons could be fired from longer distances.  The trenches offered some level of protection from these weapons.  In addition, men inside of the trenches could place machine guns above them and still hide below for protection as they fired.  Previously, soldiers firing weaponry were exposed and could be easily seen by the enemy.   During some attacks, men left the safety of the trenches and emerged to charge across enemy lines.  In many cases, poisonous gas was used by their enemies.  When soldiers emerged from their trenches, they had to quietly and quickly move across the land, trying to remain out of sight.  Sometimes they had to get beyond barb wire and other obstacles.

`log_8 (32)` To evaluate, factor 32. `=log_8 (2^5)` Then, apply the formula of change base `log_b(a) = (log_c(a))/(log_c(b))` . `= (log_2 (2^5))/(log_2 (8))` `=(log_2(2^5))/(log_2(2^3))` Also, apply the rule `log_b (a^m) = m*log_b (a)` . `=(5*log_2(2))/(3*log_2(2))` Take note that when the base and argument of the logarithm are the same, it simplifies to 1, `log_b(b)=1` . `= (5*1)/(3*1)` `=5/3` Therefore,  `log_8(32)=5/3` .

The main reason why many Mexican-Americans joined the war effort can be found in the second word in the name you have used to describe this group.  The second word in this name is “Americans.”  Mexican-Americans were (and are) American.  Because they were American, they participated in the war effort just like other kinds of Americans did. After the Japanese attacked Pearl Harbor, Americans were outraged.  They wanted revenge on Japan for the “sneak” attack.  They wanted to defend their country against the danger that Japan posed.  Because of this, huge numbers of Americans rushed to enlist in the military.  Mexican-Americans were part of this rush because they were Americans.  Not all Mexican-Americans who entered the military did so voluntarily.  The US government set up a draft to get more men into the military.  Many Mexican-Americans (like many of all other kinds of Americans) served in the military because they were drafted. On the home front, Mexican-Americans helped the war eff...

You have put your finger on precisely what the two main characters (Willie and Willa) learn throughout the course of the book. I would begin your introduction with that idea and filter down to a thesis: Success can be had only at the expense of moral or humanistic values as evidenced by the minor characters of Linden Hills: Mr. Tilson, Winston Alcott, Reverend Hollis, and Evelyn Creton Nedeed. Your body paragraphs would speak of each of these minor characters from Linden Hills respectively and always begin with a topic sentence. For example, the paragraph about Mr. Tilson should show proof that his need for money drove him to work numerous jobs and caused a fatal heart attack. Life is the thing that ceases to be valued in Mr. Tilson’s case. The paragraph about Winston Alcott should explain that he has married a lady he does not love simply to achieve respectability. Love is the thing that ceases to be valued in Mr. Alcott’s case. The paragraph about the minister, Reverend Hollis, shou...

There are different types of caretakers in Jonas’s community.  The Nurturers take care of infants in their first year.  Babies are born to Birthmothers and assigned to family units at the Ceremony of One.  From that point, mother and father figures take care of the children until they leave the family unit.  There are also caretakers for the Old, who take care of the elderly before they are released.  Elders are the ones who observe the community and make sure the rules are enforced.  They assign jobs to the Twelves and create family units by matching spouses and assigning them children.   During the past year he had been aware of the increasing level of observation. In school, at recreation time, and during volunteer hours, he had noticed the Elders watching him and the other Elevens. He had seen them taking notes. (Ch. 2)  Elders observe the general goings-on in the community, and they make changes to the rules if they are necessary.  If the Elders need help making a decision, they c...