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# proportion

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If p is inversely proportional to the square of q, and p is 19 when q is 8, determine p when q is equal to 3

Apr 30, 2022

#1
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If p and the square of q are inversely proportional, p x q x q = some constant k. When p is 19 and q is 8, k is 1216. k remains the same throughout all pairs of (p,q). If q is 3,

p x 9 =1216

So p would be equal to $$135$$$$1 \over 9$$.

Apr 30, 2022

#1
+302
+2
So p would be equal to $$135$$$$1 \over 9$$.