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Suppose q is directly proportional to the square root of h and inversely proportional to the cube of j, and q=24 when h=16 and j=2. Find q when h=4 and j=1/2.

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sqdancefan

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Answer:

  q = 768

Step-by-step explanation:

The proportionality relation is given as ...

  q = k(√h)/j³

Then ...

  k = q·j³/√h = 24·2³/√16 = 48

For the given values, q is ...

  q = 48·(√4)/(1/2)³ = 48·2·8

  q = 768

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