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Alona [7]
2 years ago
12

Find the radius of the sphere with the given volume. Show all work

Mathematics
1 answer:
yaroslaw [1]2 years ago
7 0

Answer:

r = 15

Step-by-step explanation:

Volume of a sphere is given by

V = 4/3 pi r^3

4500 pi = 4/3 pi r^3

Divide each side by pi

4500 = 4/3  r^3

Multiply each side by 3/4

3/4 *4500  = 3/4 *4/3  r^3

3375 = r^3

Take the cube root of each side

(3375)^(1/3) = (r^3)^(1/3)

15 = r

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Sauron [17]

Answer: -5

Step-by-step explanation:

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2 years ago
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PLEASE ANSWER ASAP
Vlada [557]

Answer:

c

Step-by-step explanation:

For an inverse function you take f(x) and turn that to y then you switch x and y. So you should start off with y= 5x -8. so then you switch x and y so x= 5y - 8. So then you solve. You subtract 8 from both sides and divide by 5 and you get F(x) inverse = x + 8/5

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3 years ago
Solve the equation: \frac{2}{3}t=\frac{5}{9} (hint: reciprocal)
Aleks04 [339]

Given:

\frac{2}{3}t=\frac{5}{9}\text{ We know that the reciprocal of }\frac{2}{3}\text{ is }\frac{3}{2}\text{.}

Multiply both sides by 3/2, we get

\frac{3}{2}\times\frac{2}{3}t=\frac{3}{2}\times\frac{5}{9}

Cancel out the common multiples, we get

t=\frac{1}{2}\times\frac{5}{3}

t=\frac{1\times5}{2\times3}

t=\frac{5}{6}

The solution of the given equation is

t=\frac{5}{6}

or

t=0.8333.

3 0
1 year ago
A map of a rectangular park has a length of 4 inches and a width of 6 inches. Ir uses a scale of 1 inch for every 10 miles. What
mr Goodwill [35]

Answer:

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5 0
3 years ago
Use the sequence {−1,171,875;−234,375;−46,875;−9375,…} to answer the question.
AveGali [126]

Answer:

an = −1,171,875(1/5)^n-1

Step-by-step explanation:

The given sequence is geometric sequence since they have the same common ratio r. The nth term of a geometric sequence is expressed as;

an = ar^n-1

n is the number of terms

r is the common ratio

a is the first term

From the sequence;

a = −1,171,875

r = −234,375 /−1,171,875 = -46,875/−234,375 = 0.2

r = 1/5

Substitute the values in the formula;

an = −1,171,875(1/5)^n-1

Hence the required explicit formula is an = −1,171,875(1/5)^n-1

6 0
3 years ago
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