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The variable x varies directly as the square of y, and y varies directly as the cube of z. If x equals 16 when z equals 2, what is the value of x when z equals 12?

 Mar 23, 2020
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x = ky^2         y = k/z^3      combined      x = k /z^6      

 

-16 = k/ 2^3

k = -128    

 

x = -128 / z^6

x = -128 / (1/2)^3   = -1024

 Mar 24, 2020

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