Question

If m varies directly as the square root of y, inversely as p^2, and directly as n, what happens to m when y is quadrupled, p is tripled, and n is multiplied by 5?

Answer 1

\[m \alpha \frac{ \sqrt{y} }{ p^{2} }(n)\]
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\[m \alpha \frac{ \sqrt{(4)y} }{ (3p)^{2} }(5n)\]

Answer 2

\[m \alpha (\frac{ 10 }{ 9 })[\frac{ \sqrt{y} }{ p^{2} }(n)]\]