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• That Was Then, This Is Now
Cathy is first spoken about by M&M and Bryon around seven pages into the first chapter, which is page 7 in my copy. She first actually appears around six pages into Chapter 2, which is page 23...

• Math
Since we have 2^x, we will be using ln which stands for logarithm base e. If we apply ln to both sides of the given equation we get: ln(e^x)=ln(20) logarithm and exponential with the same base...

• Math
You need to remember the formula of sin 2a = 2sin a*cos a Hence, you need to prove that: 2 sin a* cos a = (2 tan a)/(1 + tan^2 a) I suggest you to form the tangent function to the left side...

• Ulysses
Ulysses grows restless, fueling his discontent. His thoughts begin to stray from staying home to enjoy life with his family. His thoughts also steer him from the desire to rule his kingdom. Ulysses...

• Thermodynamics
Pin = Pout+ Ql + Pmech where, Pin is the power input by steam entering into the turbine Pout is power contained in the steam leaving the turbine Ql is the heat loss and Pmech is the power output...

• Math
You should remember that the slopes of two parallel lines are equal, hence, you need to evaluate the slopes of the lines AB and CD such that: m_(AB) = (2-p)/(-1-1) =gt m_(AB) = (p-2)/2 m_(CD) =...

• Math
P(x) = 2/3x^3+1/3x^2-5x To solve for P(-3), plug-in x=-3 to the given function.P(-3)=2/3*(-3)^3+1/3*(-3)^2-5*(-3)  P(-3)=2/3*(-27)+1/3*(9) -5(-3) P(-3)=2/3*(-27)+1/3 *(9) + 15 To multiply...

• Math
P(8, 5) is the number of permutations of 5 elements drawn from a set containing 8 elements. Here, repetition is not allowed, each of the letters chosen is unique and it is only used once in a...

• Romeo and Juliet

• Math
f(x)=sin(x); g(x)=sin(x-pi) The graph of g(x) is a translation of the graph of f(x) pi units to the right. This is also described as a phase shift of pi units to the right. The amplitude, period,...

• History
In the years before the Wounded Knee Massacre, a Native American prophet named Wovoka had a vision that the Christian Messiah, Jesus Christ had come back as a Native American. He proclaimed that...

• The Crisis
Aldridge writes about how Paine's work is regarded as a political treatise, but actually reads more of exhortations with a "cheerful gloom" tone. Aldridge analyzes the impact that Paine's work...

• Math
The function y = 10^t*log(t) Change the base of the log to e. => y = 10^t*ln(t)/ln(10) Using the product rule to find the derivative gives y' = (1/ln 10)*(10^t*ln 10*ln t + 10^t/t) The...

• The Lovely Bones
If you want a single theme that encompasses all the other themes, it would be that love sustains humanity and gives meaning to existence…even though there is suffering and even death. (Other themes...

• Math
Find the the relative extrema of f(x)=xe^(7x) : The function is continuous and differentiable, so we need only find where the first derivative is zero. Using the product rule we get:...

• Teaching Community
Norm-referenced testing is standardized testing from which data will be obtained to compare how students did from one population to another. It is the type of testing that is often used to create a...

• Animal Farm
The story is very intricate. It involves a farm, Manor farm, where the animals dream of a better life. They decide to revolt one day and take over the farm, renaming it Animal Farm. At first all...

• Social Sciences
Two causes for unemployment throughout Europe, including the Netherlands, are low interest rates and cyclical unemployment. The objective of the ECB monetary policy is to keep inflation, thus...

• Literature
Just as a disclaimer to the movie Six Degrees of Separation, just keep in mind that it is different from three other interpretations: the play by Guare, the true story about Hampton, and the...

• Jayber Crow
When Jayber Crow answers what he believes to be a call to the ministry, he goes to college. Here he begins to discover what he considers inconsistencies in the Bible. True to his simple nature,...

• Math
The problem provides the information that sum_(k=1)^n b_k = 5n^2-11n , hence, evaluating the general term, yields: b_n = sum_(k=1)^n b_k - sum_(k=1)^(n-1) b_k Replacing 5n^2-11n for ...

• Math
To find the volume of the ellipsoid about the y-axis, we need to sum discs of height dy , radius x . The volume is twice the integral from y=0 to y=b . This gives volume of each disc:...

• Essay Lab
There are different ways to structure an essay like this. Different teachers might prefer different structures and so you might want to consult with your own teacher. I prefer the following...

• William Faulkner
William Faulkner was awarded the Nobel Prize for Literature in 1949. Alfred Nobel stated in 1895 that the Nobel Prize shall be given to the person who shall have produced in the field of...

• The Scarlet Letter
This line is from Chapter XI of "The Scarlet Letter." In the previous chapter, Chillingworth proposes to Dimmesdale that in order to heal the minister, he must know of all ailments of...

• Math
Let's start by rearranging the equation. 3x^2-log(3x^2-2)=2-> (3x^2-2)-log(3x^2-2)=0 In general if we look at the graph of x-log(x), we will notice that it does not have an x-intercept....

• Guns, Germs, and Steel
It is a little bit difficult to say that Guns, Germs, and Steel has an outcome. A non-fiction book is not typically said to have an outcome. As it is, I suppose we could say that the outcome of...

• Science
A belly button, or navel is found on all placental mammals. When the umbilical cord is cut and removed from the baby's abdomen, a scar will eventually form, when it heals. This becomes the belly...

• Law and Politics
Most scholars of international relations identify Rousseau as a thinker who should be associated with the theory of realism. Realism stresses that countries' actions towards each other are based...

• Teaching Community
I would encourage them to work on writing skills. Study skills are important, but in my experience, many college students are simply not sophisticated enough as writers to be successful in college...

• History
The Ottoman ruler most responsible for the decline and eventual disunion of the Ottoman Empire is most likely Abdul Hamid II who was Sultan 1909. He oversaw a period of rapid modernization that...

• Number the Stars
The author of the Newberry Medal-winning novel, The Giver, Lois Lowry (born March 20, 1937 in Hawaii) has won several awards for her novel Number the Stars. Set in Denmark during World War II, it...

• Religion
I would first consider the point that Christians are taught to obey the laws of the land. There is a strong strain of Christian belief that encourages breaking laws that are deemed to conflict...

• Shakespeare's Sonnets
Lines 5 and 6 of Shakespeare's Sonnet 18 read as follows: Sometime too hot the eye of heaven shines,And oft' is his gold complexion dimm'd; In these lines, Shakespeare is saying that his beloved...

At work, at least, I would say that you have to consider the content of the message above all else. Another issue would be when you have the need to document what you have said. The more important...

• To Kill a Mockingbird
"Prejudice and Tolerance" is a suitable title, although it sounds more like a Jane Austen novel. "Knowledge and Ignorance," "Guilt and Innocence" also work, but they are too overt; the reader knows...

• Hamlet
The information is uncertain but probably the following: Titus Andronicus 1584-1590? Romeo and Juliet 1594 Troilus and Cressida 1602 Hamlet 1603

• Jonathan Edwards
Jonathan Edwards? Are you referring to the Massachusetts Puritan preacher? If so, Jonathan Edwards is considered one of the foremost theologians in American history. He was a reformed theologian...

• Math
-56 .. , -8 is 7 multiples 0 is 1 multiple 8 to 600 is 75 multiples So the answer is 7+1+75=83 multiples of 8

• Desertion
Compare "Desertion" by Clifford D. Simak to Ray Bradbury's "And the Moon Be Still As Bright" from his collectionThe Martian Chronicles. Written around roughly the same times, "Desertion" (1944)...

• An Occurrence at Owl Creek Bridge
The narrative style is a bit unusual as it is. Ambrose Bierce, the author, divides the story into three parts and changes the narration each time. In the first part, a third person point of view is...

• Math
We are given that: (x^2 y^6)/z = 3 ...(1) (x^2 z^5)/y^2 = 27 ..(2) We need to find one value of x^2y^2z^2 Multiply (1)*(2) => [(x^2 y^6)/z]*(x^2 z^5)/y^2 = 3*27 Open the brackets and simplify...

• Literature
This area of the U.S., the northern prairie, was settled by Scandinavians and northern Europeans looking for farmland similar to their homeland. Life was difficult, but with hard work and devotion...

• Romeo and Juliet
This line is spoken by the Nurse in Act III, scene 3. She comes looking for Romeo, and Friar Laurence tells her he is upset because he can't be with Juliet, that he is "made drunk with his own...

• Science
Not being an expert on physics by any means, I have read a few things that indicate you should consider force and torque. Also, what about heat...like chemical energy converting into heat.

• Social Sciences
To answer this, we first have to understand what demand is. Demand is defined as the amount of a good or service that consumers are willing and able to buy at each potential price. In other...

• Speak
I'm not sure what part of the novel you are currently reading, but at the beginning of Speak, the reader finds out that the school's mascot was originally the Trojans. "Officials decided that it...

• Tender Is the Night
So you have asked a question about what I consider (dare I say it?) my favorite book. Yes, that's right, an English teacher has declared a favorite. That being said, let's get to your question....