11th Grade Math

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

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