Because p is inversely proportional to the square of q, we have that $p(q^2)=k$ for some constant k. We know that $p=6$ when $q=8$ , so we have that $k=(6)(8)^2=6*64=384$ .

We want to know what p is when q is equal to 2, so we have that $p(2)^2=384$ , which gives $4p=384$ , which gives $\boxed{p=96}$ .

Note: $\frac{96}{6}=(\frac{8}{2})^2$ . Coincidence?

8 0

3 years ago

A right rectangular prism has a length of 6 cm a width of 8 cm and a height of 4 cm the dimension of the prism are half what is

Setler [38]

Answer:

Answer 24 cm^3

Step-by-step explanation:

If the dimensions are 1/2 the volume is 1/8 the original volume. There are 2 ways to do this. I'm going to choose the most straight forward.

Formula

V = L * w * h

Givens

L = 6

w = 8

h = 4

Solution

V_original = 6 * 8 * 4 = 192

V_half = 3 * 4 * 2 = 24

V_original / V_half = 192/24 = 8/1

So the other way around (V_half/V_original) = 1/8

4 0

3 years ago