# 1,5,16,13,13,2,16. find the mean, and median.

**MATH**

**1,5,16,13,13,2,16. find the mean, and median.**

Given the data: 1, 5, 16, 13, 13, 2 16 First we will rearrange from small numbers to large numbers. ==> 1, 2, 5, 13,13,16,16 Now we will calculate the mean. ==> mean = (1+ 2 + 5 + 13 + 13 +…

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**MATH**

**solve the equation: 4(z-7) < -2z if z is a positive integer.**

Given the inequality: 4(z-7) < -2z First we will open the brackets. ==> 4z – 28 < -2z Now we will add 2z to both sides. ==> 6z – 28 < 0 Now we will add 28 to both sides. ==> 6z…

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**MATH**

**Solve the equation 2cos(3x) -1 = 0 for values in the interval 0=< x =< pi**

Given the equation 2cos(3x) -1 = 0 We need to solve for x if 0=< x =< pi. ==> 2cos(3x) -1 = 0 We will add 1 to both sides. ==> 2cos(3x) = 1 Now we will divide by 2. ==> cos(3x) =…

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**MATH**

**find y’ using the implicit differentiation : -x +3x^2 = y^2 -3x^5*y^2**

Given the functions: -x + 3x^2 = y^2 – 3x^5 y^2 We will use the implicit differentiation to fin y’. (-x)’ + 3(x^2)’ = (y62)’ -3(x^5*y^2)’ (-x)’ + 3(x^2)’ = (y^2)’ -3[(x^5)’*y^2 + (x^5*(y^2)’] -1 +…

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**MATH**

**What are x and y given that 3x + 2y = 9 and 7x – 5y = 0?**

We have the two equations: 3x + 2y = 9 … (1) 7x – 5y = 0 … (2) 5*(1) + 2*(2) => 15x + 10y + 14x – 10y = 45 => 29x = 45 => x = 45/29 Substituting this in (1) 3(45/29) + 2y = 9 =>…

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**MATH**

**Find the derivative of ln (-8 + 3z^2).**

We have to fine the derivative of ln (-8 + 3z^2), Now we use the chain rule here. The derivative of ln x is 1/x and the derivative of -8 + 3z^2 is 6z. Using the same we get the derivative of ln (-8…

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**MATH**

**Determine if the lines y= 3(x-2) and 2y = 6x -9 are parallel.**

Given the lines: y= 3(x-2) 2y = 6x -9 We need to determine if the lines are parallel. First we will rewrite he equations of the lines into the slope form. If the slopes are equal, then the lines…

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**MATH**

**Solve x^2 + 7x +9 = 0 using the quadratic formula**

Given the quadratic equation: x^2 + 7x + 9 = 0 We need to solve for the roots using the quadratic formula. Then we know that: a =1 b= 7 c = 9 The formula for the roots is: x = (-b +- sqrt(b^2…

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**MATH**

**Find the equation using the points (2,3) and (5,8)**

Given the points ( 2,3) and (5,8) . We need to find the equation of the line that passes through the given points. We will write the equation into the standard form. ==> y-y1 = m (x-x1) where…

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**MATH**

**If sec x = 5/3 find the tanx, cosx, sinx**

Given that sec(x) = 5/3 We need to find tan(x), cos(x), and (sin(x). First we know from trigonometric identities that: sec(x) = 1/cos(x) ==> 5/3 = 1/cosx ==> cosx = 3/5 Now we will calculate…

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**MATH**

**Prove that: tanx*sinx / (sec^2 x -1) = cosx**

We need to prove that: (tanx*sinx) / (sec^2 x -1) = cosx We will start from the left side and prove that it equals cosx. First we will rewrite using the trigonometric identities. We know that secx…

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**RAY BRADBURY**

**What are the roles of the characters in “A Sound of Thunder” by Ray Bradbury?The characters whose…**

Ray Bradbury’s science fiction short story “A Sound of Thunder” has a plot driven by the actions of the characters: Eckels This character certainly is the catalyst to the problem of the plot of…

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**HISTORY**

**What was mercantilism?How could it have been a cause of war? Of economic growth?**

Mercantilism is an economic philosophy that suggests that the amount of trade possible among countries of the world is a fixed quantity and a single country’s ability to participate in that trade…

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**THE GLASS MENAGERIE**

**In Scene 5 of The Glass Menagerie, Tom talks to the audience. In terms of meta-theatre, how does…**

Your original question suggested that Tom’s desire for change was a flaw. I don’t see as a flaw, nor does Tom. This is not the only time in the play that Tom expresses his restlessness and the…

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**MATH**

**Solve the indefinite integral and explain how: y=e^x/(3+e^x)**

Here we have to find the integral of y=e^x/(3+e^x) Int [y] = Int [e^x/(3+e^x)] Take 3+e^x as t. = dt/dx = e^x So we have Int [e^x/(3+e^x) dx] => Int [dt/t} => ln t + C substitute t with…

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**MATH**

**Solve the exponential: 5^(3-x)+5^x-20=0**

We’ll re-write the first term recalling the quotient property of exponentials: 5^(3-x) = 5^3/5^x We’ll re-write the equation: 5^3/5^x + 5^x – 20 = 0 We’ll multiply by 5^x both sides: 5^3 + 5^2x -…

**MATH**

We have lg lg lg x=0. I have taken the base of the log to be e, though they can be anything else too. It would just require a small change in the expression. Now lg x = 0 => x = 1 So we have lg…

**MATH**

**Solve the unknown x log(x+21)^1/2+log(x-21)^1/2=2(1+log2)**

To solve for x : log(x+21)^1/2+log(x-21)^1/2=2(1+log2 We use the property, log a+log b = log ab. log(x+21)^(1/2) +log(x-21)^(1/2) = 2(1+log2. log(x+21)^(1/2)*(x-21)^(1/2) = 2+2log2 log…

**MACBETH**

**Is there a point in Macbeth where the main character feels lonely—in the sense that no one…**

In Shakespeare’s Macbeth, I don’t believe Macbeth feels lonely because no one understands him, but I do believe that towards the end, he feels isolated because he is alone, which I think is very…

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**MATH**

**What is the value of the variable? sin^-1 3t > pi/6**

We consider the inverse function arcsin 3t > pi/6. We’ll apply sine functin both sides: sin (arcsin 3t) > sin pi/6 Since the sine function is increasing, we’ll keep the direction of the…

**HISTORY**

**Did the differences between Athens and Sparta lead to the Peloponnesian War?**

History shows us that rival powers that are relatively evenly matched will tend to find reasons to go to war with one another. They may talk about things like political views as their causes for…

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**MATH**

(1+i)^2008. To simplify, first we will rewrite the exponent. ==> ( 1+ i)^2008 = (1+ i)^(2*1004) Now we know from exponent properties that x^ab= (x^a)^b ==> (1+i)^(2*1004) =[ (1+i)^2]^1004 Now…

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**MATH**

**Solve the problemintegral of y=x^3/(x^4+1)^5**

Given y= x^3/ (x^4 +10^5 We need to find the integral of y. ==> intg y = intg ( x^3/(x^4 +1)^5 Let us assume that u = x^4 + 1 ==> du = 4x^3 dx Now we will substitute. ==> intg y = intg (…

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**LITERATURE**

**What are the main points in Jean Baudrilland’s: Simulacra and simulations: Disneyland?**

Baudrillard’s big theme is the replacement of reality with a hyperreality, the replacement of reality by virtual, or the replacement of the real by signs. Conventional thought is that nature…

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**LITERATURE**

**What are the main ideas in Donna Haraway’s: A Manifesto for Cyborgs: Science , Technology, and…**

The cyborg icon is liberation from ideology by embracing technology and avoiding categorization. Haraway is exploring the borders between human and machine, physical and nonphysical; human and…

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**MAX WEBER**

**According to Max Weber, what are the three types of legitimate domination?**

According to Weber, there are three pure types of legitimate authority — three ways in which rulers can claim that their power is legitimately held. The three are: Rational/legal grounds. This…

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**MACBETH**

**How does Shakespeare show the theme of conflict in Act 3, Scene 4 in Macbeth? I need to show both…**

The external conflict is that Macbeth is on a killing spree. But, from Macbeth’s own perspective, the conflict is that Fleance has escaped. (Macbeth hired two murderers to kill Fleance and Banquo…

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**MATH**

Given the equations: (x^3 -1) and ( x^4 + x^2 +1) We need to find the greatest common factor. First we will factor each equation. x^3 -1 = (x-1) ( x^2 +x +1) x^4 + x^2 + 1 = ( x^2 +x +1) ( x^2 -x…

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**WILLIAM BLAKE**

**Is William Blake a symbolist and a realist?**

William Blake was definitely a symoblist and a realist. One of his themes is the energy developed from contraries, so it is in keeping with his poetry that he could philosophically be a realist and…

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**THE SECOND COMING**

**What are the binary oppositions in W.B.Yeats’s “The Second Coming”?**

Part of what makes Yeats’ poem so powerful is that he plays into and yet rejects the binary opposition that is so much a part of Western intellectual currents. Had Yeats taken the traditional…

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**JULY’S PEOPLE**

**What is the cultural conflict in Nadine Gordimer’s “July’s People”?**

As with so much of Gordimer’s works, the idea of culture clash and conflict is a rich reservoir from which to excavate. If there are specific elements that you have to discuss, I would consult…

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**ELIZABETH BARRETT BROWNING**

**In Eizabeth Barret Browings sonnet “Beloved thou has brougt me …” what main comparison is being…**

Her (the speaker, Elizabeth’s) lover’s flowers are literally flowers, but also symbols of love; of course. When she says, ‘take back these’ thoughts, the thoughts refer to the poem itself….

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**GEOLOGY**

The Earth’s lithosphere, which is the crust and upper most part of the upper mantle, is broken into tectonic plates which float in the more viscous asthenosphere, which is the remaining part of…

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**LUCILLE CLIFTON**

**Does the line “I stand up” in the poem “Miss Rosie” indicate that the speaker thinks that she is…**

Critics have long noted the “big ideas” in Lucille Clifton’s simple, lyrical verse. As is typical of her poetry, “miss rosie” is a short, simple poem that presents a portrait of an old…

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**THE TAMING OF THE SHREW**

**You are a roving reporter for The Paduan Enquirer you have crashed the wedding of Katherina and…**

Well, Act III scene ii, which features the wedding, certainly has lots of scandalous material for you to focus on! One suggestion for you to think about is to consider the role of the media today…

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**MATH**

**Calculate the limit (1-cosx)/x^2 , x->0**

The limit limx→01−cosxx2limx→01-cosxx2 has to be determined. If we substitute x = 0, the result 1−cosxx21-cosxx2 is the indeterminate form 0000 . In this case it is possible to use l’Hospital’s rule…

**THE CATCHER IN THE RYE**

**In the Catcher in the Rye, why should Holden be institutionalized?**

I think that if one were to mount a case for Holden being institutionalized, it would have to start with the fact that Holden is mentally exhausted and not in the best frames of mind. In looking…

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**MATH**

**Given the string an=(n+1)/(5n+2), verify that the limit is 1/5 using epsilon-delta theory.**

We’ll have to show that for any positive number epsilon, there is N = N(epsilon), so that: |an – 1/5| < epsilon for any n > N(epsilon) We’ll substitute an by it’s given expression:…

**KARL MARX**

**Given the following quote: “Philosophers have so far interpreted the world. the point however is…**

I think that this quote brings out Marx’s idea of praxis that became such a strong part of his thinking and the resultant forces that owe their source to him. Marx’s thought was different than…

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**TO BUILD A FIRE**

**What types of figurative language are dominant in Jack London’s “To Build a Fire”?**

Enotes does not allow you to ask multiple questions, so I have been forced to edit down your original questions to just focus on the first one that you asked. As in the majority of works of…

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**GUIDE TO LITERARY TERMS**

**What is form, structure and language?I was recently told to consider Literature in relation to…**

You seem to have a very solid understanding of the terms “form,” “structure,” and “language.” When talking about the general type or tradition of writing that a particular work belongs…

2 educator answers

**SOCIAL SCIENCES**

**How is religion a force of conservation?**

Very interesting question. Some social scientists believe that religion is a force of conservation because it gives a specific people a blueprint or plan to follow and on which to base their lives…

1 educator answer

**MODERNISM**

**What is the impact of modernism on Harold Pinter?**

A complete answer to such a question would go beyond the allotted space here. Pinter’s place in Western literature is a powerful one and, consistent with Modernism, an attempt to answer the impact…

1 educator answer

**RABINDRANATH TAGORE**

**What is the relationship in poems betwen tagore´s bengali & english gitanjali…**

Gitanjali (Bengali: গীতাঞ্জলি) is a collection of 103 English poems, largely translations, by the Bengali poet Rabindranath Tagore. This volume became very famous in the West, and…

**MATH**

**What does the integral of speed represent in the following case?The speed of a motorboat…**

Since the boat is travelling in a straight line, let the distance function travelled by the boat along the lineat time be s(t) imles. Thenthe instantaneous velocity of the boat at any time t is…

**SOCIAL SCIENCES**

**Is Materialism a good thing or a bad thing?I ask this question honestly, even though I have my…**

I grew up in what was essentially a 3rd World country and growing up there instilled in me the conviction that there’s nothing ennobling about poverty. The poor there were not better people for…

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**LUCILLE CLIFTON**

**Is “[you] used to be called” an example of an idiom found in “Miss Rosie”?**

An idiom is an expression that does not mean what the literal meanings of the individual words denote. That is, the meaning of the idiom cannot be inferred from the meaning of the individual words…

1 educator answer

**MATH**

**a = 2+b b= 3c a+b = c what are a, b, and c?**

Given the system: a = 2+ b ………….(1) b = 3c ………….(2) a+b = c ……………(3) We will use the substitution method to solve. We will substitute (2) into (1). ==> a= 2+ b = 2 +…

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**MATH**

**Determine the end point of the line segment AB if B(-2,12) and the midpoint is ( 2,5)**

Given the line segment AB such that B(-2, 12) and the midpoint m(2,5). We need to find the coordinates of the point A. We will use the midpoint formula to find A. We know that: xm = ( xA+xB)/2…

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**MATH**

4^(x-1) = 8*2^3x First we will simplify the equation. We will rewrite the numbers 4 and 8 as exponent of 2. ==> 4 = 2^2 ==> 8 = 2^3 ==> (2^2)^(x-1) = 2^3 * 2^3x Now from exponent…