The quantity y varies directly with the square of x and inversely with z When x is 9 and z is 27 , y is 6 What is the constant of variation?

Direct variation with the square of x and inverse variation with z means y = kx²/z. Substituting y = 6, x = 9, and z = 27 gives 6 = k(9²)/27 = 3k, so k = 2. The constant of variation is 2.

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