Asked by Lorie
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!
Answers
Answered by
Reiny
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
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
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.