# Whats the equation of variation where y varies jointly as x and z and inversely as the square of w and y=20 when x= -0.5, z =4, and w = 5?

The equation of variation is y = kxz/w^2. To find the value of k, substitute the given values into the equation: 20 = k(-0.5)(4)/(5^2). Simplifying this equation gives k = -400. Therefore, the equation of variation is y = -400xz/w^2.

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The equation of variation is ( y = k \cdot \frac{xz}{w^2} ), where ( k ) is a constant. Plugging in the given values, we get ( 20 = k \cdot \frac{(-0.5)(4)}{5^2} ). Solving for ( k ), we find ( k = -8 ). Therefore, the equation of variation is ( y = -8 \cdot \frac{xz}{w^2} ).

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