Question

ver True or False. Suppose the square of f varies directly with the cube of p and inversely with m, and when f=2, p=1, and m=3, f² = 10 p³/m : TRUE FALSE

Answer 1

The statement is true. The square of f varies directly with the cube of p and inversely with m.

Step-by-step explanation:

True

The statement is true. The square of f varies directly with the cube of p and inversely with m can be represented as:

f² = k(p³/m)

Using the given values f = 2, p = 1, and m = 3, we can substitute them into the equation:

2² = k(1³/3)

Simplifying, we get:

4 = k(1/3)

Dividing both sides by 1/3, we get:

4/(1/3) = k

12 = k

Therefore, the equation becomes:

f² = 12(p³/m)

So, when f = 2, p = 1, and m = 3, we have f² = 12(1³/3) = 12(1/3) = 4.

Hence, the statement is TRUE.

Learn more about Direct and inverse variation