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.

9514 1404 393

  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

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right