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3 years ago

If the ratio of the radii of two spheres is 1 : 8, what is the ratio of the surface areas of the two spheres?

1 answer:

5 0

The surface area of a sphere is 4pi*r^2.

4pi is a constant, so we can ignore it. That means the ratio of the surface areas is determined by the radii squared.

1^2 = 1

8^2 = 64

The answer is 1:64

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The Volume of a cube depends on the length of its sides.This can be written in function notation as v(s).What is the best interp

strojnjashka [21]

Answer and Step-by-step explanation:

There is a cube with side length 3. The volume of this cube is 27.

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1 year ago

Convert the equation to the standard form for a parabola by completing the square on x or y as appropriate.

RideAnS [48]

Y² + 2 y - 2x - 3 = 0
x + 3 = y² + 2 y
2 x + 3 = y² + 2 x + 1 - 1
2 x + 3 = ( y + 1 )² - 1
2 x + 3 + 1 = ( y + 1 )²
Answer:
2 ( x + 2 ) = ( y + 1 )²

4 0

3 years ago

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Find the absolute maximum and minimum values of the following functions on the given curves functions:

bagirrra123 [75]

Answer:

Solution has explained below:

Step-by-step explanation:

(a) f(x,y) = x+y

To find out the maximum and minimum values, we need to find first and second derivatives, we have

fx= 1, fx₁=0 and

fy= 1 and fyy=0

For stationary points fx=fy=0, which gives,

1=1=0, so that there is just one stationary point, (x,y)=(0,0)

If fx₁ < 0 and fyy < 0, function is maximum

If fx₁ > 0 and fyy > 0, function is minimum.

(b) g(x,y) = xy

Sol: To find out the maximum and minimum values, we need to find first and second derivatives, we have

fx= 1 and fy = 1

fx₁ = 0 and fyy =0

for stationary points fx = fy =0, which gives 1=1=0, so that there is just one stationary points, (x,y) =(0,0)

If fx₁ < 0 and fyy < 0, function is maximum.

If fx₁ > 0 and fyy> 0, function is minimum.

c) h(x,y) = 2x2 + y2

sol: To find out the maximum and minimum values, we need to find first and second derivatives, we have

fx = 4x and fy = 2y

fx₁= 4 and fyy = 2

Now, taking fx = 0 and fy = 0

Gives x=0 and y=0,

Stationary points are (x,y) = (0,0)

If fx₁ < 0 and fyy < 0, solution is maximum,

If fx₁ > 0 and fyy > 0, solution is minimum,

Here, fx₁ = 4 > 0 and fyy = 2 > 0.

6 0

3 years ago

A roulette wheel has the numbers 1 through 36, 0, and 00. A bet on four numbers pays 8 to 1 (that is, if you bet $1 and one of t

Natasha_Volkova [10]

Answer:

Lose $0.05

Step-by-step explanation:

There are 38 possible spots on the roulette wheel (numbers 1 to 36, 0 and 00).

If the player can choose four numbers on single $1 bet, his chances of winning (W) and losing (L) are as follows:

$P(W) = \frac{4}{38} \\P(L) = 1-P(W) = 1-\frac{4}{38} \\P(L) = \frac{34}{38}$

The expected value of the bet is given by the probability of winning multiplied by the payout ($8), minus the probability of losing multiplied by the bet cost ($1)

$EV=\frac{4}{38}*\$8 -\frac{34}{38}*\$1\\EV= -\$0.05$

On each bet, the player is expected to lose 5 cents ($0.05).

4 0

3 years ago

I really need help pls helppp meee

zhenek [66]

Answer:

2.50t + 350 = 3t + 225

Step-by-step explanation:

Let t represent the number of tickets that each class needs to sell so that the total amount raised is the same for both classes.

One class is selling tickets for $2.50 each and has already raised $350. This means that the total amount that would be raised from selling t tickets is

2.5t + 350

The other class is selling tickets for $3.00 each and has already raised $225. This means that the total amount that would be raised from selling t tickets is

3t + 225

Therefore, for the total costs to be the same, the number of tickets would be

2.5t + 350 = 3t + 225

8 0

1 year ago

Read 2 more answers