• MATH

solve for x 7 l 3x-4 l + 8 = 15

7 l 3x-4 l + 8 = 15 First we ill subtract 8 from both sides: ==> 7 l 3x-4 l = 7 No divide by 7: == l 3x -4 l = 1 Now we need to determine x, such that the absolute value is 1. Then, we have two…

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• MATH

Triangle PQR is equilateral. QA is perpendicullar to PR and B is the midpoint of QA.What is the…

The triangle PQR is equilateral . Then: PQ = PR = QR = 30 Given. QA perpend. to PR B is mid point of QA Since the triangle if equolateral: ==> QA divides PR into two equal parts. ==> PA = RA…

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• HAMLET

Why is the murder so “unnatural” according to both Hamlet and the ghost?

Given the general feeling that one needed to repent of their sins and receive last rites by a priest, the fact that Hamlet Sr. was murdered without the opportunity to do so was a very big part of…

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• MATH

log (5x-1) – log (X-2) = log 3 solve for x

log (5x-1) – log (x-2) = log 3 First we will simplify the equation: We know that: log a = log b = log a/b ==> log (5x-1)/(x-2) = log 3 Also, we know that: if log a = log b ==> a = b ==>…

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• MATH

What is x for (2x+3)/3 + (x-1)/2 = (-x + 3)/6?

(2x+3)/3 + (x-1)/2 = (-x+3)/6 Let us multiply the whole equation by 6 : ==> 2(2x+3) + 3(x-1) = (-x+3) Expand brackets: ==>4x + 6 + 3x -3 = -x + 3 Now combine like terms: ==> 4x + 3x +x = 3…

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• MATH

Integrate the function sin 3x*cos5x.

intg sin3x * cos5x Let us rewrite: we know that: sina * cosb = [sin(a+b) + sin(a-b)]/2 ==> sin3x *cos5x = [sin4x + sin2x]/2 = (1/2)sin4x + (1/2)sin2x Now let us…

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• MATH

Calculate the sum of 1001 terms of the series 3,5,7,…

3, 5, 7, …., a1001 is an A.P such that: a1= 3 a2= 3+ 1*2 a3= 3+ 2*2 a4= 3+ 3*2 ….. a1001 = 3+ 1000*2 = 2003 r= 2 ==> S1001 = 3 + 5 + 7 + …+ a1001 We know that: Sn = (a1+an)*n/2 Sn =…

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• MATH

Find the value of m if the points (4,-2) and (m,4) are on the line whose slope is 1/2

Let us write the equation for the line: y-y1 = s (x-x1) where s is the slope. Given s = 1/2 But we know that: s= (y2-y1)/(x2-x1) Given two points ( m, 4 ) and (4, -2) ==> S = (-2-4)/(4-m) =…

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• MATH

Solve the inequality (x+3)(2x-3)<0

(x+3)(2x-3) < 0 Since the result of the product is negative, then only one of the terms should be negative: Then: (x+3)<0 and (2x-3) > 0 ==> x < -3 and x > 3/2…

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• PHYSICS

A motorcicle and a truck left the town at the same time .After travelling in the same direction…

Let the speed of the motorcycle be M and that of the truck be T. Now speed = distance / time and distance = speed * time. After 1.25 hours the motorcycle had travelled 25 km more than the truck. We…

• BABBITT

How does the character of George Babbitt begin to change?

Throughout the course of Sinclair Lewis’s novel, Babbitt, the character of George Follansbee Babbitt undergoes the only major rebellion of his meaningless and conforming life in Chapter 22. For,…

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• HISTORY

What is the overall gist of the Declaration of Independence of the Democratic Republic of Vietnam?

The Vietnamese Declaration of Independence was really quite a short document which is modeled largely on the United States’ Declaration of Independence. Like the US Declaration, it has a first…

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• MATH

The numerator of a fraction is three less than the denominator.What is the fraction if the…

We assume x is the numerator. Then the denomiator = x+3. The fraction is x/(x+3) The fraction obtained by tripling numearator and the increasing the denominator by 7 is 3x/(x+3+7) = 3x/(x+10) but…

• MATH

I have sold 2/3 of my pencils for $ 0.15 each . If i have 8 pencils left how much money did i…

Let x be the number of total pencils you had before you started selling. What you are trying to figure out first of all is the value of x. To do that, you can set up the following equation: 8/x =…

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• MATH

What is the intercepting point of the lines 3x + 7y = 20 ; x – 7y = 4 .

The given equations are : 3x+7y = 20….(1) x-7y = 4………(2). From (2) , x = 4+7y. Substitute x = 4+7y in (1): 3(4+7y) +7y = 20. 12+21y+7y = 20. 28y = 20-12 = 8. y = 8/21 = 8/28. Substitute y…

• MATH

Calculate the extreme values of x^2 + 6x – 6 .

To find the extreme values of x^2+6x-6. We write x^2+6x-6 as (x^2+6x+3^2) -3^2 -6 = 0. We added here 3^2 and subtracted. Therefore x^2+6x-6 = (x+3)^2 -9-5 x^2+6x-6 = (x+3)^2 -15. x^2+6x-6 > A…

• MATH

What is tan2a if cosa = 1 – sina?

cosa = 1-sina. To find tan2a. cosa = 1-sina sqrt(1-sin^2a) = 1-sina, as cos^2x+sin^2x = 1. Squaring both sides , we get: 1-sin^2a = (1-sina)^2 0 = (1-sina)^2 – (1-sin^2a) 0 – (1-sina)(1-sina…

• MATH

What are a and b if x*y = y*x and (x*y)*z= x*(y*z) x*y = xy + 2ax + 2by

x*y =xy+2ax+2by ..(1) y*x = xy+2ay +2bx .. (2) Since x*y = y*x, we can equate right sides (1) and (2). xy +2ax+2by = xy +2bx+2ay 2ax+2by = 2bx +2ay ax+by = bx+ay. Therefore coefficients of x’s are…

• ROMEO AND JULIET

In Romeo and Juliet, how is Romeo impulsive? Give examples.

Romeo appears to be very impulsive in love. This love-at-first sight approach, given his age, isn’t odd, however. His switching his affections from Rosaline to Juliet, is certainly very speedy…

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• MATH

What is the indefinite integral of ( sinx + cos x )/ ( sinx -cosx ) ?

To find the integral of (sinx+cosx)/(sinx-cosx). We put sinx-cosx = t…….(1) We differentiate sinx-cosx with respect to t. cosx -(-sinx) = dt (cosx+sinx)dx = dt…..(2) Therefore Int…

• HISTORY

Can someone give me some ideas of cartoons of life of Haiti leading up to Haitian Revolution?

I would think that being able to draw a cartoon of Toussaint L’Overture might be a good starting point. I would probably depict the conditions of slavery that he had to endure and also would…

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• A&P

What is the overall message of “A & P?”I MEAN THE MESSAGE OF THE TEXT

In my opinion, the message of this story is that it is important to be yourself, but you have to realize that being yourself has consequences in the real world. I think that the story is about…

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• MATH

Integrate the function y = x*sin^3x

We know that Int (u(x)*v(x)) dx = u(x)Int (v(x) – Int {u'(x)*Intv(x)dx}dx Also we know that sin3x = 3sinx -4sin^3x. Therefore sin^3x = (3sinx-sin3x)/4 We use the above results to integrate xsin^3x…

• MATH

A line is tangent to the curve y=5x^2+1, in a point x=1. What is the equation of tangent line.

If y = f(x), then the tangent of the curve at x = x1 is given by: y -y1 = f'(x1)(x-x1),………….(1)where y1 = f(x1) . The given curve is y = f(x) =5x^2+1. Given x1 = 1 Therefore y1 = f(1) =…

• FAHRENHEIT 451

How is the society in Fahrenheit 451 like a centrifuge?In Part II of Fahrenheit 451, Faber tells…

Given the metaphorical nature of the quotation, I think that you can wind up with many different reads of it. In my mind, Faber’s quote relates to the idea that there is a machine, an “invisible…

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• HAMLET

In Hamlet, do you agree with the way the soliloquy was acted on stage, and how do you feel Hamlet…

To really answer this question, I would have to know what version of the play you were talking about. That being said, we can learn a lot from the question, because of what it asked. The beauty of…

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• THOMAS HARDY

Discuss the use of nature in “The Voice” by Thomas Hardy.

This poem decidedly uses nature imagery and figures of speech. Remember that imagery is description that appeals to one of the five senses: touch, sight, hearing, taste, or smell. Nature figures…

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• THOMAS HARDY

What are the similarities and differences between “The Voice” and “Full Moon and Little Frieda”…

This is a very large question and eNotes format can only give you a starting point for your analysis. First: The tones cannot be said to be similar as one is mourning for a lost love (Hardy) while…

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• SONNY’S BLUES

What story seems to be told through and about music in “Sonny’s Blues.

The story reflects the world of music and the musician—particularly the jazz musician—and explores themes of drug addiction and prophecy. Music, particularly the blues, links the brothers and…

• ON LIBERTY

What does MILL insist on freedom of thought and expression in on LIBERTY? JOHN STUART MILL…

In the end, I would say that the fear of “the tyranny of the majority” is what helps to motivate Mill’s insistence on freedom and expression. Mill was convinced that the prevailing attitude of…

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• SONNY’S BLUES

What is the relationship between Sonny and his brother and how does it change?

Like the other response suggests, the narrator is an established professional who perceives himself as someone who was able to “rise above” the circumstances into which he was born, unlike…

1 educator answer

• GUIDE TO LITERARY TERMS

In literature, describe how the setting and time play and integral part in the story.

The setting and time period is a relevent part of of the action of most stories. Knowing the historical time period affects the understanding of the culture of the time. If a story is set in…

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• SCIENCE

Prove that:the incident ray passing through the principal focus of a concave mirror becomes…

For reflection of light taking place in a mirror the angle formed by the incident ray with the normal is equal to the angle formed by the reflected ray with the normal. Now for any ray that passes…

• THE ROAD NOT TAKEN

Critically comment on the Robert Frost’s poem ‘The Road not Taken’. Mention the striking points.

With poetry a good starting point is always to try and relate what the poem is about to your own life. One way to tackle this poem is to think about your own life and consider a choice that you…

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• THE SPIRIT OF THE LAWS

What is the aim of Spirit of the Laws by Montesquieu?

The primary focus of Montesquieu’s work is to address the issue of individual freedom and institutional control on a political science level. Montesquieu’s work operates on a premise that seeks to…

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• HAMLET

Discuss how Hamlet’s “Now I am alone” soliloquy contributes to the plot, characterization, and…

Many people consider this soliloquy to be a turning point in the plot of Hamlet. Actually, in my Arden text, the line numbers are 543- 601. In this conversation with the audience, Hamlet considers…

2 educator answers

• GRAMMAR

Should one write “English teacher” or “english teacher”? I am wondering if “English teacher” has…

I would say that the answer is that “English” in the noun is capitalized. It should be capitalized because it references a nation. “English” came from “England.” The word is derived from a…

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• THE LISTENERS

In “The Listeners” Mare had said after he’d published the poem that the “Traveller” is the…

Indeed, I could see that the traveller is the ghost. I could also see it as the speaker being someone who is enduring a complex set of emotions. For example, perhaps the speaker is someone who is…

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• DEATH OF A SALESMAN

‘In those days there was personality in it… there was respect, and comradeship, and gratitude…

When Wily speaks these lines to Howard, it is reflection of how things have changed in the sales industry, or in business, in general. The story that Wily tells of the old man who was a seller…

2 educator answers

• ESSAY LAB

I’m writing a compare and contrast essay between football and basketball, how can i write it?

I think that you can structure this in an elemental manner. Much of this is going to be dependent on what has to be done with it in terms of the requirements of the assignment. In assessing this,…

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• ESSAY LAB

Consider the “West” in the works, “The Notorious Jumping Frog of Calaveras County,” by Twain and…

Both Mark Twain’s story, “The Celebrated Jumping Frog of Calaveras County,” and Bret Harte’s short story, “The Outcasts of Poker Flat” are both works in the Western genre and portray culture in the…

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• A DOLL’S HOUSE

In A Doll’s House, who speaks more directly throughout the play?

Of course, this play has so much to do with reality and façade, and this is something that the key characters represent brilliantly. One cannot but help be struck by the relationship of Nora and…

1 educator answer

• SONNET 18

Sonnet 18Art is often viewed as man’s attempts to gain immortality. What is the irony of this…

Shakespeare’s final line–“So long lives this, and this gives life to thee.”–makes the poem itself the referent rather than the beloved. Thus it is the poem [“this”] that will possess immortality…

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• THE GARDEN PARTY: AND OTHER STORIES

I just want to know, what is the plot of The Garden PartyThe plot only!

“The Garden Party” is the story of Laura and her family, a wealthy family who live at the top of the hill, who are planning to have a lovely garden party. The start of the story tells of the…

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• HISTORY

What did the Spanish call Tenotchtitlan? Why?Please watch the following short movie about Aztec…

When the Spanish came to Tenochtitlan, they called it the Venice of the Americas. It was a very large city and was exceeded in size only by Paris, Venice and Constantinople. The city had large…

• HISTORY

What aspects of the English language will be difficult for future peoples to decipher? Think of…

Every language has its own quirks, foibles, and idiosyncrasies. Though most languages have common characteristics, it’s the unusual or quirky elements which are the most difficult to learn….

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• HISTORY

What does a bar and what does a shell represent in Mayan numbers? What symbols would you use to…

In the Mayan number system which had a base 20, there was a requirement for 19 digits other than 0. These were created using 3 basic symbols, a dot for a value of “one”, a bar for a value of…

• HISTORY

What is the base power used in Mayan numbers? the following link is the article on the Mayans…

The Mayan system of numbers used 20 as the base unlike our decimal system which uses 10 as the base. For example a number like 1250 in the decimal system would be expressed in the Mayan system as…

• A MODEST PROPOSAL

I want a critical summary of the story ” A Modest Proposal”a detailed summmary which will help me…

I have to assume you are actually talking about the essay by Jonathan Swift, so here is a summary, there is a far more detailed and lengthy summary at either of the two links below. Swift wrote the…

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• HISTORY

How or in what order do you read Mayan glyph blocs? following link is the article on the Mayans…

The order to read Maya glyphs is also not as straightforward as it would seem. Since glyph blocks are arranged in a grid, one would think that the reading order is either in rows or columns. In…

1 educator answer