Qvaries inversely as the square of p, and q = 36 when p = 7. find q when p = 6.

The value of Q can be calculated by using the formula constant for proportionality formula.

The value of Q is 49.

Given:

when .

As per the question Q varies inversely as the square of p.

Where is proportionality constant.

Rearrange the above equation for .

Substitute the value.

Calculate the value of Q for p=6.

Substitute the value of  proportionality constant.

Thus, the value of is .

Learn more about proportionality constant here:

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49

Step-by-step explanation:

1. Calculate the constant of proportionality

Q = k/p²

k = Qp²     Multiplied each side by p²

  = 36 × 7²

  = 36 × 49

  = 1764

2. Calculate the new value of Q

Q = 1764/p²

  = 1764/36

Q = 49

is there a picture

step-by-step explanation:

y/x=18

step-by-step explanation: