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If pp is inversely proportional to the square of qq, and pp is 28 when qq is 3, determine pp when qq is equal to 2

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Final answer:

When qq is 2, pp is determined to be 63.

Step-by-step explanation:

From the given information we know that pp is inversely proportional to the square of qq. This means that as the value of qq increases, the value of pp decreases, and vice versa.

We are given that when qq is 3, pp is 28. To find pp when qq is 2, we can set up the equation:

pp * qq^2 = k

where k is a constant.

Substituting the values from the given information, we have:

28 * 3^2 = k

k = 252

Now, we can use this value of k to find pp when qq is 2:

pp * 2^2 = 252

pp * 4 = 252

pp = 63

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