Posted by **Lorie** on Friday, April 5, 2013 at 3:04pm.

A quantity, W, is directly proportional to x and the square of y and inversely proportional to the cube of z. W-3 when x=4,y=2 and z=4. What is the value of w, when x=5, y=5 and z=4. Give answer to three decimal places. Thanks so much!

- college math -
**Reiny**, Friday, April 5, 2013 at 3:12pm
W = k x√y/z^3

so W=3, x=4,y=2, z=4

3 = k(4√2/64

k = 192/(4√2) = 48/√2

so if x = 5,y=5,z=4

W = (48/√2)(5)(√5)/64

= 15√5/(3√2) or after rationalizing the denominator

= 15√10/8 = appr 5.929

## Answer this Question

## Related Questions

- college math - A quantity, W, is directly proportional to X and the square Y, ...
- College math - I really need to know the answer to this extra credit problem. ...
- Inverse Variation - Help me please.. Explain also :( 1. E is inversely ...
- physics - If two different masses have the same kinetic energy, their momenta ...
- Algebra - x is directly proportional to y and is inversely proportional to the ...
- Physics - If two different masses have the same kinetic energy, their momenta ...
- math - t varies directly as the square root of l. If l=81, then t=10 what is the...
- physical science - the wavelength of an electromagnetic wave is ____________. a...
- physics - if a stone at the end of a string is whirled in a circle, the inward ...
- Science - Please Check 1.) If a quantity increases as a second quantity ...