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

the correct answer is option c.   3

step-by-step explanation:

points to remember

equation of the line with coordinates (x₁, y₁) and (x₂, y₂) is given by,

slope m = (y₂ - y₁)/(x₂ - x₁)

from the figure we can see a line with two coordinates given

to find the slope of given line

here   (x₁, y₁)   = (-1, -1 ) and (x₂, y₂) = (1, 5)

slope m = (y₂ - y₁)/(x₂ - x₁)

  = (5 - -1)/(1 - -1)

  = (5 + 1)/(1 + 1)

  = 6/2 = 3

therefore the correct answer is option c.   3