leleojennae4 leleojennae4

07-09-2021
Mathematics

contestada

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 sqdancefan

07-09-2021

9514 1404 393

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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