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ivanzaharov [21]
3 years ago
13

If p is inversely proportional to the square of q, and p is 6 when q is 8, determine p

Mathematics
1 answer:
slavikrds [6]3 years ago
8 0

Answer:

p=96

Step-by-step explanation:

Because p is inversely proportional to the square of q, we have that p(q^2)=k for some constant k. We know that p=6 when q=8, so we have that k=(6)(8)^2=6*64=384.

We want to know what p is when q is equal to 2, so we have that p(2)^2=384, which gives 4p=384, which gives \boxed{p=96}.

Note: \frac{96}{6}=(\frac{8}{2})^2. Coincidence?

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