How long will it take 3 large pipes and 5 small pipes to drain the pond?Nine large pipes will…

# How long will it take 3 large pipes and 5 small pipes to drain the pond?Nine large pipes will…

• MATH

How long will it take 3 large pipes and 5 small pipes to drain the pond?Nine large pipes will…

Let Pl = volume drained by one large pipe in one hour Let Ps = volume drained by one small pipe in one hour Let t = time V – 9P*8 = 0 V-6*p*(16) = 0 +(-V+6p*16 =…

• MATH

A parabola with vertex (2,0) and axis of symmetry parallel to the y-axis, passes through (3,1)…

Let the parabola be : f(x)= ax^2+ bx + c The vertex is ( 2,0) Then: Vx = -b/2a = 2 ==> -b =4a ==> b= -4a …………(1) Vy = (b^2-4ac) / 4a = 0 ==> b^2 – 4ac = 0 ==> (-4a)^2 – 4ac = 0…

• MATH

student election 584 students voted for 1 of 2 candidates. Winner received 122 more votes than…

There are 584 students who will vote for two candidates. Then the total votes for both candidates is 584 vote. Given that the winner candidate received 122 more votes than the loser candidate. Let…

• MATH

Suzy is ten years older than Billy, and next year she will be twice as old as Billy. How old are…

Let Suzy’s age be S Let Billy’s age be B ==> given that Suzy’s 10 years older that Billy: ==> S = B + 10 …………..(1) Next year : Suzy’s age will be S + 1 Billy Will be B+1 But given…

• SCIENCE

‘Explain’ what is meant by “the cell cycle” in as many words as possible?

The cell cycle is the cycle in which a cell alternates between growth and then actively dividing into daughter cells. The time between divisions varies between minutes, months or even years,…

• MATH

Find two consecutive of the odd natural numbers in the sum of the whose squares is 202

Let the first odd number be x Then the next odd number is (x+2) Given that the sum of the squares of the numbers is 202. Then we will write the expression as follows. x^2 + (x+2)^2 = 202 We will…

• MATH

The distance of 36 km is only 2/23 of the total distance the team rides. Calculate this total…

Let the total distance that the team travels be x km. Given that 2/23 of the distance is 36 km. Then, 2/23 * x = 36 ==> 2/23 *x = 36. Now we will multiply by 23. ==> 2x = 36*23. Now we will…

• MATH

Mohammad’s height is 169cm and Fatima’s ‘ht. is 156cm.The frame sizes of their bikes are in the…

We have to use ratios here. We are given that Mohammad’s height is 169 cm and his bike’s frame size is 52 cm. Let the ratio of height to frame size be S. So S = 169 / 52. Now Fatima’s height is 156…

• MATH

y = log xIf y = 10, then what is x?

Given the function y = log x Given y= 10 and we need to find the values for x. We know that from logarithm properties that : log x = log10 x ( if the base for the logarithm is not presented, then…

• MATH

Are the lines with equations 2x + y = 2 and x – 2y = 0 parallel, perpendicular or neither?

2x + y = 2 x – 2y = 0 First we will rewrite the equation in the slope format: ==> 2x + y = 2 ==> y= -2x + 2 Then, the slope m1 = -2 Now we will write equation (2): x – 2y = 0 Add 2y to both…

• AND THEN THERE WERE NONE

What are some examples of animal imagery?

There are many animal images in this novel. Agatha Christie reduces them all to animals as they fight for survival. As Lombard is getting ready for dinner, he moved “like a panther, smoothly and…

• LOUIS ALTHUSSER

What is Althusser’s role in New Historicism?

A New Historicist looks at how the individual writer writes but also how the writer was influenced by his/her society and historical context; Point A: including influences the author would not be…

• TUESDAYS WITH MORRIE

How can “Tuesdays with Morrie” help in creating your own culture if you don’t believe in the one…

First, I encourage you to re-read the Eleventh Tuesday, as this is the chapter which directly deals with creating your own subculture. On the whole, however, this entire book is about a man who…

• SOCIAL SCIENCES

To what extent have religion and community been forces for conservation in India?

To a great extent, one can see the forces of both religion and community helping to bring about the forces of conservation. From the most blatant perspective, the protection of animals such as the…

• MATH

Find the solution of the exponential equation 2^(1-x)=19 in terms of logarithms or correct the…

We need to solve 2^(1-x)=19 for x. Now we have the equation 2^(1-x)=19 Take the logarithm of both the sides => log [2^(1-x)] = log 19 Now we know that log a^b = b log a => ( 1-x) log 2 = log…

• TO KILL A MOCKINGBIRD

What are some quotes that indirectly characterize how/what Atticus thinks?

It could be argued that Atticus is an independent thinker and opinionated, but neither pushy nor outspoken. He is intelligent, insighful, and above everything, he’s respectful. Even when people…

• TO KILL A MOCKINGBIRD

What fact about Atticus’ defense does Scout learn from the Idlers’ Club?

What Scout learns is not really so much about the defense itself. Instead, she learns from the Idlers’ Club something about why Atticus is defending Tom Robinson. This can be found in Chapter…

• MATH

The polinomial f(x) divided x-3 results in a quotient of x^2+3x-5 and reminder of two. Find f(3).

Given that the quotient of dividing f(x) by (x-3) , the results will be x^2 + 3x -5 and remainder of 2: Then f(x) is a product of two functions, including (x-3), plus two. ==> f(x) = (x-3)*R(x)…

• PET SEMATARY

What is the significance of the Route 15 and Orinco, and what is ailing Rachel? I couldn’t…

So because of the lack of answers.. i thought i should answer my own question in case anyone wondering.. well Gage was killed in the route 15 by a truck Orinco named.that route 15 mentioning has a…

• POETRY

Compare themes of the poems “Little Old Letter” and “Sence You Went Away.””Little Old Letter” is…

James Weldon Johnson’s poem, “Sence You Went Away,” deals with loss of love. Langston Hughes’ “Little Old Letter” also deals with loss of love. However, each poem, as with individual people, deals…

• MATH

What is (log3 x)^2=log3 (x^2) + 3 ?

(log3 x)^2=log3 (x^2) + 3 First we know that log a^b = b*log a ==> (log3 x)62 = 2log3 x + 3 Now, we will move all terms to the left side so the right side is 0: ==>( log3 x)^2 – 2log3 x – 3 =…

• MATH

If f(x) = (√x)/3 , then f ^-1 (x) =Please help me im stuck and have no idea how to solve it….

We have the function f(x) = ( sqrt x)/3. Now we need to find the iverse of teh function f(x) = (sqrt x)/3. Let f(x) = (sqrt x)/3 = y square both the sides => x / 9 = y^2 => x = 9y^2 Replace x…

• MATH

If l is a line through the points (2,5) and (4,6) what is the value of k so that the point of…

W have the points: (2,5) and (4,6) passes through a lint L . We need to determine k values such that ( 7, k) is on the line: First we will determine the equation for the line L: ( y- y1) = m (x-x1)…

• MATH

Evaluate the limit (x^4-16)/(x-2), x–>2.

limit (x^4-16)/(x-2), x–>2. First we will try substituting to find the limit. We will substitute with x= 2: ==> lim (x^4 – 16) / (x-2) = 0/0 ==> Now we will factor the numerator: ==>…

• MACBETH

What are your impressions of Macbeth and his wife?From Act I.

I’m assuming this is a question from your teacher that you’re supposed to answer, and of course I can’t answer about your impressions. I can give you some specifics concerning the issues involved…

• THE POSTMAN ALWAYS RINGS TWICE

What is this work of literature saying about humanity, the world, and/or some events?

One of the most successful and controversial crime novels of the twentieth-century, The Postman Always Rings Twice is set in a world where deception regulates human relationships and where any…

• MATH

find the sum and the product of the following equations?find the sum and the product of the…

The sum and the product are: x1 + x2 = S x1*x2 = P We’ll use Viete’s relations to calculate the sum and the product: x1 + x2 = -b/a x1*x2 = c/a a,b,c are the coefficients of the given equations….

• MATH

find the value of k in each of the following?a.) kx^2-6x+1=0 if the equation has real, rational,…

a.) kx^2-6x+1=0 if the equation has real, rational, and equal roots. If the function has rational , real and equal roots, then that mean delta will be 0: We know that: delta = b^2 – 4ac ==>…

• MATH

Factor completely y^4+3y^3-5y^2-15y

y^4+3y^3-5y^2-15y First we will group the first two terms and the last two terms together: ==> ( y^4 + 3y^3) – ( 5y^2 + 15y) Now we will factor y^3 from the first two terms: ==? y^3( y + 3) -…

• MATH

divide 5kg in the ratio of 1:2:5

To divide 5 kg in 1:2:5. Since 1:2:5 = x:2x:5x. Therefore x+2x+5x = 8x So 8x = 5Kg. Therefore x = 5/8 kg. Therefore 2x = (5/8)2 = 10/8 = 5/4 = 1 1/4kg Therefore 5x = (5/8) 5 = 25/8 = 3 1/8 kg….

• RIP VAN WINKLE

Can you help me write a good thesis statement about the relationship between Rip van Winkle and…

Dame Van Winkle, the wife of Rip Van Winkle, is certainly no easygoing “lovey-dovey” lady. The narrator of Washington Irving’s “Rip Van Winkle” calls Rip’s wife a “shrew” and a “termagant,” both…

• PHILOSOPHY

This is somewhat vague and you may get a better answer if you will clarify as to what sort of implications you are thinking of… To me, the major implication of this statement is that it claims…

• PHILOSOPHY

I am not really clear on what you are asking here — what two positions you wish us to choose between. It looks like you might be asking us to compare between Kant’s categorical imperative and…

• MATH

Sove for x and y 1.5x-7y=2. 0.625x+3y=-2.125.

We have to solve for x and y using the equations 1.5x-7y=2 and 0.625x+3y=-2.125 1.5x-7y=2 => 3x – 14y = 4 …(1) 0.625x+3y=-2.125 => 5x + 24y = -17 …(2) Now 5*(1) – 3*(2) => 15x – 70y -…

• MACBETH

What message do you think Lady Macbeth wants to convey by fainting in Macbeth?

Lady Macbeth faints when the death of Duncan is announced by Macduff. We know that she planned the murder. By fainting, Lady Macbeth, does what she thinks she should do. Remember, she asked to…

• MACBETH

As with most crimes, the killer becomes a suspect in the minds of those around him. Macduff suspects Macbeth’s activities immediately after the discovery of the body. Macbeth admits to killing…

• MACBETH

Where do Malcolm, Donalbain, Ross, and Macduff go at the end of Act 2 in Macbeth, and why?

These characters all go different directions. Malcolm and Donaldbain, both fearing that they will be accused of Duncan’s murder, “get out of Dodge” so to speak. Malcolm heads south to England…

• MATH

Find the surface area of a hexagonal prism with height of 12 cm and side length of 9 cm. Its…

The surface area is the perimeter of the base multiplied by the height added to twice of the area of the base SA = P*h + 2B We’ll calculate the perimeter of the base: p = 6*l, where l = 9 cm P =…

• MATH

What value of x makes the three terms x, x/(x + 1) , 3x/(x + 1)(x + 2) those of a geometric…

For the terms x , x/(x + 1) and 3x/(x + 1)(x + 2) to be those of a geometric progression we need the following to be satisfied: [3x/(x + 1)(x + 2)]/[x/(x + 1)] = [x/(x + 1)]/ x => 3 / (x+2) =…

• MACBETH

Describe Macbeth’s vision at the end of Act II Scene 1 in Macbeth.

In this important soliloquy, we are presented with Macbeth, who is waiting for the signal from his wife to go and kill Duncan. He imagines a dagger which he cannot grasp, which leads him to…

• HOLY SONNETS

What’s the summary of John Donne’s sonnet VIII?

Great question! Probably you mean sonnet VIII (or 8) from Donne’s famous collection titled Holy Sonnets. Here is the poem itself: If faithfull soules be alike glorifi’d As Angels, then my fathers…

• BEN JONSON

Why is there a distinction made between “Elizabethan Jonson” and “Jacobean Jonson” in regard to…

English literary periods are named for monarchs, as with the Elizabethan period, or historical events, as with the Restoration period, or for great literary times or movements, as with the Middle…

• MATH

Determine whether f(x) = 3x^4 – 5x^2 + 2 is even odd or neither.

We have to find if f(x) = 3x^4 – 5x^2 + 2 is even or odd. Now for even function we know that f(-x) = f(x). Here for f(x) = 3x^4 – 5x^2 + 2 we see that f(-x) = 3*(-x)^4 – 5(-x)^2 + 2 as for any…

• MATH

What is the reminder if ax^3+bx^2+cx+d is divided by x-2 ?

Here we use the remainder theorem. As ax^3 + bx^2 + cx + d is divided by (x-2). When f(x) is divided by (x-a) the remainder is given by f(a). So here we have the remainder as f(x) = ax^3 + bx^2 +…

• MATH

What is a if (2-i)(a-bi) = 2+9i ?

We have to find a given that (2-i)(a-bi) = 2+9i. Now, (2-i)(a-bi) = 2+9i => 2a -ia -2bi + bi^2 = 2+ 9i => 2a – ia – 2bi – b = 2+ 9i => 2a -b -i ( a+ 2b) = 2+ 9i Equate the real and…

• MATH

If 8^x=2 and 3^(x+y)=81 then y=?

We need to find y using 8^x=2 and 3^(x+y)=81. First we find x using 8^x=2. 8^x=2 => (2^3)^x = 2^1 => 2^3x = 2^1 as the base is the same, we can equate the exponent. Therefore 3x = 1 or x =…

• MATH

Find the slope of the curve x^2 + xy + y^2 = 7 at the point (1,2).

We have the equation of the curve given as x^2 + xy + y^2 = 7. Now, we first differentiate this with respect to x d(x^2)/dx +d (xy)/dx +d(y^2)/dx =d (7)/dx => 2x + x (dy/dx) + y + 2y (dy / dx) =…

• LITERATURE

In what ways can we look at fiction as history?Give suitable examples.examples should be from…

I can see two main ways in which fiction can be considered history. The first way is that we can learn about life in a particular place and time by studying the fiction that was written at that…

• MATH

What is lim x –> 1 [( 1- sqrt x)/ (1- x)]

Now we see that ( 1- sqrt x)/ (1- x) => (1 – sqrt x)/(1- sqrt x)*(1+ sqrt x) => 1/ (1+ sqrt x) For lim x –> 1 [( 1- sqrt x)/ (1- x)] we have lim x –> 1 [1/ ( 1+ sqrt x)] => 1 /…