What value of r makes the following true?

r^3=512

r=8

Step-by-step explanation:

To solve this, we need to get the variable,  r, by itself.

r^3=512

r is being cubed. To undo this and isolate r, we can take the cube root of both sides. This will cancel out the exponent, and leave r by itself.

∛r^3=∛512

r=∛512

r=8

If we want to check the solution, substitute 8 in for r.

r^3=512

8^3=512

8^3 is the same as 8*8*8

8*8*8=512

64*8=512

512=512

This is true, so we know that r is 8.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.