• MATH

Find the surface area of the rectangular prism of length 10m, width 4m and hieght of 3m.

The surface area of a rectangular prism is given by the formula: Area = 2(w*l + l*h + h*w) Where: w = Width = 4 m (Given) l = Length = 10 m (Given) h = Height = 3 m (Given) Substituting the given…

• ROBERT BROWNING

Give me the between the lines summary of “The bishop orders his tomb at saint praxed’s church” by…

This poem covers many themes that Browning was fond of such as corruption in the church. If the Bishop was religious, as he should have been, then how does he have sons? This was forbidden by the…

1 educator answer

• JANE EYRE

How does Bertha Rochester help in the development of the plot in Jane Eyre?

Well, think about it. Without Bertha, we would not have the rest of Jane’s story. Bertha is the catalyst for Jane to leave and go with St. John. She is the reason why Jane and Mr. Rochester cannot…

1 educator answer

• HISTORY

How and why did the westward movement entangled the United States in the affairs of foreign powers?

First of all, we weren’t the only ones who claimed the land. The Spaniards and then the Mexicans were in the Southwest, with longtime settlements there. The British were in Canada, with designs…

2 educator answers

• MATH

Find the volume of a cone with a diameter of 12m and a height of 4.9m. If necessary round to the…

Volume of a cone is given by the formula: Volume = (1/12)*pi*d^2*h Where: d = diameter of base of cone = 12 m (Given) h = height of cone = 4.9 m Substituting given value of d and h in the formula…

• POSSESSION

What would be a good topic for a short essay on Possession?

One possibility for a short essay on Possession would be to explore the emotional impact on the reader of Byatt’s juxtaposition of Victorian literary devices with modern literary devices as she…

2 educator answers

• SCIENCE

What are some types of foods? Some have fats and some have proteins in them..so what are some of…

Foods are essentially composed of proteins, fats, and carbohydrates. Most foods have a percentage of all three of these in them, but most are higher in one than the other two. High protein foods…

2 educator answers

• AS YOU LIKE IT

What is the role of humour in As You Like It with special reference to Jaques and Touchstone?

Touchstone and Jacques represent two different kinds of humor in As You Like It. Touchstone is the duke’s fool, which means he is allowed to say anything he wants to say and get away with it. In…

1 educator answer

• GAMES AT TWILIGHT

In “Games at Twilight” by Anita Desai, explain the character of Raghu.

Raghu is just a minor character in this excellent short story, with the main focus being on Ravi and his sensitivity and development. However, we are given a number of indications about Raghu and…

1 educator answer

• MACBETH

What are three internal conflicts that Macbeth faces in Macbeth, and what quotes symbolize the…

In Act 5.3 of Shakespeare’s Macbeth, internal conflicts are revealed in the title character. The scene opens with Macbeth appearing confident that he can withstand any attack by his enemies. He is…

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• MATH

If x*a=-1 and x*y=(x+1)(y+1)-1, which is the value for a?

x*a=-1……..(1) x*y = (x+1)(y+1) -1…….(20 Let us substitute y=a in (2): x*a = (x+1)(a+1) -1 x*a = x*a + x+ a+1 -1 From (1) we have x*a =1 ==> 1= 1 + x+a ==> x+a=0 Also from (1) x*a= -1…

1 educator answer

• MATH

Calculate the sum of the coefficients of polynomial f=2000x^2000+1999x^1999+…..+x

To calculate the sum of coefficients of any polynomial, we’ll substitute the unknown x, by 1 and we’ll get: f(1) = 2000*1^2000+1999*1^1999+…..+1 f(1) = 2000 + 1999 + ……. + 1 This is the sum…

• MATH

How do u graph this function f(x)=x^3-4? and Approximate to the nearest tenth, the real root of…

To graph a function, you have to find some important points which belongs to the graph, to check if the function is increasing or decreasing, to verify if the function is continuous, to see if the…

• MATH

Verify if the triangle PBC has a side on the line d:x+3y-4=0? P(2,3),B(-2,2),C(2,2/3)

We have the triangle PBC and the line x+3y-4=0 if one of the sides of the triangle is on the line, then the line should verify 2 points from the triangle: Let us verify: The point P(2,3) 2+ 3(3)…

1 educator answer

• MATH

Which is the coefficient of x^2012 from the product fg? f=2010x^2010+2009x^2009+..+x g=2x^2+x+1

f=2010x^2010+ +2009x^2009+…2x^2+x g= (2x^2+x+1) To find the term with x^2012. The power 2012 of x in fg is the result of the product of 2x^2 and 2010x^2010 = (2x^2)2010x^2012) = 4020x^2012…

• MATH

Solve for x (4^x)*(2^x)=12, if x*y=x+y+10.

(4^x)*(2^x) = 12…..(1) x*y = x+y +10……..(2) From (2), let us substitute x=4^x and y= 2^x ==> 4^x*2^x= 4^x+2^x +10 But from (1) we know that 4^x * 2^x=12 ==>> 12= 4^x + 2^x +10…

1 educator answer

• MATH

Which are the solutions of the equation x*x=11, when x*y=2(x-3)(y-3)+3 ?

x*y= 2(x-3)(y-3) +3 …..(1) x*x = 11……….(2) Let us substitute with x=y in (1): x*x = 2(x-3)(x-3) + 3 11= 2(x-3)^2 +3 8= 2(x-3)^2 4= (x-3)^2 ==> x1-3 = 2 ==> x1= 5 ==> x2-3 =-2…

1 educator answer

• MATH

Determine the polynomial f=x^2010 – x^3 + a, if x=-1 is the root of f?

If x=a is a root of f(x) , then f(a) = 0. So if x=-1 is a root of f(x), then f(-1) = 0. Or f(-1) = (-1)^2010-(-1)^3+a = 0 . Even powers of -1 is 1 and odd powers of -1 is -1. So f(-1) = 1-(-1)+a =…

• MATH

Determine the reminder of the division between f and g. f=x^3+2x^2+x+2 g=x^2+1

f= x^3 + 2x^2 + x+ 2 g= x^2 +1 Let us try and factorize f and g f= x^3 +2x^2 + x+2 = x^2(x+2)+ (x+2) = (x+2)(x^2 +1) But g= (x^2 +1) Then g is a factor of f Then f is divided by g Then the…

1 educator answer

• MATH

How to write f=x^3-3x^2+2x as a product of irreducible polynomials?

First, we’ll factorize the polynomial f: f = x(x^2 – 3x + 2) It is obvious that the second factor, namely x^2 – 3x + 2 could be reduced again. For this reason, we’ll find put it’s roots. Being a…

• MATH

Solve the equation f(ln x)=0. f=x^3+2x^2+x+2

f= x^3 +2x^2 + x+2 Substitute with f(lnx) f(lnx)= (lnx)^3 + 2(lnx)^2 + lnx + 2 Now assume that lnx= y ==>f(y)= y^3 + 2y^2 + y+2 Let us try and factor: f(y)= (Y^3 + 2y^2 )+ (y+ 2) Now factor…

1 educator answer

• THE DOLL’S HOUSE

What does the lamp symbolize in this story?

The rich Burnell children receive a gift of a “perfect” doll house, with papered walls, carpet, furniture, just the most amazing thing one has ever seen. The people in it, though, the dolls, are…

1 educator answer

• MATH

Which is the equation of the line AB, if A(-1,1), B(2,3)?

The standard form for the equation passes through known points is: y-y1= m(x-x) Where the slope (m)= (y2-y1)/(x2-x1) aand (x1,y1) and (x2,y2) are points on the line: We have the points (-1,1) and…

1 educator answer

• MATH

Which is the value of the sum x1+x2+x3, if x1, x2, x3 are the solutions of the equation…

The equation x^3 -3x^2 +2x =0 is a third power polynomial . Then it has 3 roots: x1, x2, and x3 In the standard form of third power polynomial: ax^3+bx^2+cx+d=0 Viete’ relation states that:…

1 educator answer

• SOCIAL SCIENCES

What is race? What is ethnicity? What role does society play in defining these terms. Also, what…

Race and ethnicity in some ways go together. An ethnic group is a group that has a distinct culture of its own. It tends to be a group that shares an ancestral heritage. A race, is defined more…

4 educator answers

• MATH

Calculate the solutions of the equation (5^x)*(5^x)=11, if x*y=2(x-3)(y-3)+3.

5^x * 5^x = 11 x*y = 2(x-3)(y-3) +3 Let us substitute with x= 5^x and y= 5^x 5^x * 5^x = 2(5^x -3)^2 +3 11= 2(5^x -3)^2 +3 8= 2(5^x -3)^2 4= (5^x -3)^2 ==> 5^x1 -3 = 2 ==> 5^x1=5 ==>…

1 educator answer

• MATH

Which are the integer solutions of the equation? x*x=12 x*y=xy-3(x+y)+12

The given composition x*y =xy-3(x+y)+12. To solve x*x =12. Solution: x*x = xx-3(x+x)+12 = x^2-6x+12 under the compostion which is given to be equal to 12. So, x^2-6x+12 = 12. x^2-6x = 0 x(x-6) = 0…

• MATH

Solve the equation: log 3 (x-2) + log 3 (2x+7)=log 3 (1)

To solve the equation, we’ll use the product rule of logarithms: the sum of the logarithms is the logarithm of the product. The equation will become: log 3 (x-2) + log 3 (2x+7)= log 3 (x-2)(2x+7)…

• MATH

log (base 3)(x-1)=log (base 3)[9/(2x+5)] Solve for x.

To solve the equation, we’ll use the quotient rule of logarithms: the kdifference of the logarithms is the logarithm of the quotient. The equation will become: log 3 [9/(2x+5)] = log 3 (3^2) – log…

• AMADEUS

In the play, Mozart died of a sicknes. What did Mozart die of real life?

Toward the end of his life, Mozart suffered from pain, swelling, fevers, and vomiting. All of these were symptoms of rheumatic fever. This disease is often brought on after a severe bacterial…

1 educator answer

• TEACHERS

How should I adjust my general education (high school) lessons to better fit a ELF classroom?I’m…

This is going to be challenging. Prior to investigating any options here, I would speak to my colleagues or principals/ administrators at my school. Perhaps, there are other ELF trained teachers…

4 educator answers

• MATH

Demonstrate that in the triangle ABC sinA + sinB + sinC < 3(sqrt3)/2.

To prove sinA+sinB+sinC = 3(sqrt3)/2. We know that sinA+sinB = sin(a+b)/2 * cos(A-B)/2. Sinc = sin (180-(A+B)) = sin(A+B) = sin(A+B) = 2in(A+B)/2 cos(A+B)/2 Therefore sinA+sinB +sinC = 2sin(A+B)/2…

• HISTORY

What was womens role in society & literary portrayals during 1865-1912:Consider political,…

I found an excellent website with links to information that would be most helpful in answering the questions you are asking. The website is…

2 educator answers

• MATH

Find the coordinates of the point found at the intersection of the curves : f(x)=2x-1 and…

The coordinates of intersection point lies on both cuves.So, 2x-1 = -4x+1. 2x+4x= 1+1 = 0. Or 6x= 02Or x= 2/6 = 1/3.. Therefore f(1/3) = 2*(1/3) -1 = -1/3 = g(1/3) = -4(1/3)+1 Thereore (1/3 ,…

• MATH

If the function f:r->R , f(x) = ln(1 + sin^2x) demonstrate that any primitive of the function…

Let F (x) = {Int f(t) dt t= a to t =x } = int {(1+sin^2)dt from t = a to t= x}. Then to show that f(x) is incresing. Differentiating , we get F'(x) = (1+sin^2x) which is positive for any x….

• MATH

Calculate the sum 1 + 4 + 7 +…+ 31 !

1+4 +7 + …+31 1 + (1+3) + (1+2*3)+…..+(1+10*3) Rearrange: 1+ 1+ …+1+ 3+2*3+3*3+…+10*3) Factorize 3: (1+1+…+1) + 3(2+3+4+…+10) = 11 + 3( 10(11)/2 = 11+ 330/2= 11+ 165= 176

1 educator answer

• MATH

Find out the number of real solutions of the equation 3x^4 – 8x^3 – 6x^2 + 24x -10 = 0

f(x) = 3x^4 – 8x^3-6x^2+24x-10. We chech for the values x=0, 1, 2 and 3 f(0) = -10 f(1) = 3-8-6+24-10 = 3 f(2) = 3*16-8*8-6*4+24*2-10 = 48-64-24+48-10 = 96-98=-2 f(3) =3*81-8*27-6*9+24*3-10 =…

• SCIENCE

Whats a cyclone or tropical cyclone?

A cyclone is an area of low atmospheric pressure characterized by rotating winds and ascending air. For the most part, weather systems are classified according to wind speed. A tropical disturbance…

2 educator answers

• MATH

Solve te equation x*2=25, if x*y=2(x-1)(y-1)+1 and m=3.

x*y= 2(x-1)(y-1)+1 To solve x*2 we will substitute y =2 x*2 = 2(x-1)(2-1)+1=25 x*2 = 2(x-1)+1 = 25 2x-2 +1 =25 2x-1= 25 2x= 26 x= 13

1 educator answer

• MATH

Calculate the coefficient t from P=2x^3-4x^2+t^2*x-2, if x1+x2=1.

P= 2x^3-4x^2 +t^2* x -2 From Viete’s rule we know that: x1+x2+x3 = -b/a = 4/2 =2……(1) x1x2+x1x3+x2x3= c/a = t^2/2……..(2) x1x2x3= -d/a= 1…….(3) But we have x1+x2=1 ==> substitute in…

1 educator answer

• MATH

Given that f=x^3+x^2+mx+1 and Sn=x1^n+x2^n+………,find m if S2=7.

f= x^3 + x^2 + mx +1 Sn = x1^n + x2^n + …. find m if s2 =7 We know that: x1+x2+x3= -1/1=-1…..(1) x1x2+x1x3+x2x3= m……(2) s2= x1^2 + x2^2 + x3^2 =7 Square(1): X1^2 + x2^2 + x3^3 +…

1 educator answer

• TED HUGHES

In the poem “Full Moon and Little Frieda” by Ted Hughes, what is the central message he is trying…

I think one of the governing images in this poem is the mirror in line 4. The idea of a mirror is significant, as the entire purpose of the poem is to compare the little girl Frieda (Ted Hughes…

1 educator answer

• PHILOSOPHY

What is the difference between Marxist dialectial theory & Hegelian dialictical theory?…

There have been volumes written on this subject. In a very brief synopsis, I would say that the emphasis on materialism is probably the primary difference between both thinkers’ dialectics. Marx…

1 educator answer

• SOCIAL SCIENCES

Define englulfment, implosion and petrification in R.D. Laing’s “The Divided Self”. How can we…

In simple terminology: Engulfment is the feeling of being trapped and washed away by the ideas of others. You could feel engulfed, for example, when you are part of a very pushy family or society…

1 educator answer

• THE CASK OF AMONTILLADO

How does the author use time in the story? The time when the story was set? How does the…

Poe gives the story a timelessness, both an antiquated and a modern feel to it. The use of the Italian (Roman) Carnival setting where the ancient Christians are buried in the catacombs is marked…

1 educator answer

• TRIFLES

What is the tone projected by the male characters toward the female characters? How would you…

In Susan Glapell’s “Trifles,” the male tone is one of condescension: they belittle the females directly and indirectly. Observe the County Attorney’s mention of the mess in the kitchen: it is an…

1 educator answer

• HISTORY

How did European colonization impact the natives in North and South America? I need informative…

The most devastating impact was the introduction of European diseases, which wiped out roughly 90% of the native tribes within three decades of contact and made it much easier for European empires…

5 educator answers

• MACBETH

Have the witches make a mistake about Banquo’s sons becoming kings?Because it did not happen that…

No, the witches did not make a mistake in their prediction that Banquo will “[be]get kings but not be one.” The play was written and performed for King James 1, who was a descendant of the actual…

2 educator answers

• HISTORY

How did gold and silver in the Americas contribute to Spain’s status as the most powerful country…

It was, in my opinion, directly responsible for much of Spain’s status, though there were other factors as well. The Spanish had a massive land empire spanning most of South America and a solid…

1 educator answer

• TEACHERS

C-Management HELP PLEASE1)what are the advantages & disadvantages of classroom managent?…

There are tons of threads started on this already that you may want to read… but in short, classroom management is the FIRST THING to tackle as a new teacher. Once you’ve got it down you’ll…

3 educator answers