posted by Liz

k. (64 to the root of 3)^4

l. (3 to the root of 4)^-8

f. (5^2/5/^2)^-1/2

4. The radius of a sphere r is given in terms of its volume V by the formula: r=(0.75V/π)^1/3 By how many inches has the radius of a spherical balloon increased when tthe amount of air in the ballon is increased from 4.2ft^3 to 24.9ft^3?

2. The gas used by a car on a rad trio can be found using the function g(d) =4d-7, where d is the distance traveled. The distance traveled by the same car at a given time, t, can be forgiven he using the function d(t)=2t+4. What is the amount of gas used by a car on a road trip as a function of time?

1. Liz

For k. I meant to put the cubed root of 64 in the parenthesis and for l. I meant to put the fourth root of 3.

2. Steve

(64 to the root of 3)^4
= 4^4
= 256

(3 to the root of 4)^-8
= (3^1/4)^(-8)
= 3^-2
= 1/9

(5^2/5/^2)^-1/2
= 1^-1/2
= 1
or something. bad syntax

#4. Just plug in your two values of r and find the difference.

#2 Just substitute for d
g = 4d-7 = 4(2t+4)-7

Similar Questions

1. Math

What are the solution sets of the following 3 problems,the square root of x squared + 3x = x-3, the square root of 3x + 10 = x + 4 and finally the square root of 8x - 2 = the square root of 2x?
2. physics

Suppose that the displacement of a particle is related to time according to the expression delta x = ct^3. What are the SI units of the proportionality constant c?
3. Math

Just need some help... Directions: Multiply or raise to the power as indicated... Then simplify the result. Assume all variables represent positive numbers. 1. 5(square root of 6) times two-thirds(square root of 15)= 3 one-third (square …
4. Algebra

Use the quadratic formula to solve the equation. Give exact answers: 2x^2 -1 = 6x. The choices are: a) -3 + square root(7)/2, -3 - square root(7)/2 b) 3 + square root(11)/2, 3 - square root(11)/2 c) 3 + square root(7)/2, 3 - square …
5. Algebra

I had to solve 2x^2-x-1 using the quad. formula. I got it down to (1 +/- the square root of neg. 8) divided by four. I broke the sq. of neg. 8 into the sq. root of 4 and the sq. root of -2. But my question is could it also be the sq. …
6. Algebra

Can you explain how to find the solution of 3x^2-2x+5, using the quadratic formula?