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IF z(square) is directly proportional to x(cube) and z = 8 when x = 4, find the values of z when x = 9.

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6 votes

Answer:

13.51

Explanation:

From the question,

z(square) is directly proportional to x(cube)

Z^2 ∝. X^3

Z^2=kX^3

Where K = proportionality constant

Making K the subject of the formula

K=Z^2/X^3

K=(8^2)/(4^3)=16/64

K= 16/64

Then find the values of z when x = 9.

From aboveZ^2=kX^3

Z^2= 16/64 × (9^3)

=16/64 × 729

Z^2=182.5

Z=√182.5

Z=13.51

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