
A water hose had filled up 1⁄3 of a pool after 1⁄2 of an hour. At this rate, how many hours would it take to fill the pool?

It takes 1.5 hours or 1 hour and 30 min. to fill the pool.
Step-by-step explanation:
Answer:
The volume of the similar prism is 
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x----> the volume of the larger prism
y----> the volume of the smaller prism
so

In this problem we have
-----> the scale factor

substitute and solve for x

She made the mistake in step 4
She should have divided by -2 not just 2 alone
Answer:
7/8 divided by 1/4 = 7/2
Step-by-step explanation:
Use the reciprocal when dividing fractions. :)
Answer:
3
Step-by-step explanation:
Given the polynomial : p(x)=1−2x2−3x3+4x
Rearranging : p(x) = -3x³ - 2x² + 4x + 1
Looking at the polynomial Given, we can see that it is a univariate polynomial, that is it has only one variable which is x. Thus for polynomials of this sort, the order of the polynomial is the highest exponent occurring in the polynomial equation. Therefore, the order of the polynomial above is 3, because the highest power of the function is 3.
This means that those with 4 as their highest exponent are of order 4 and those with highest exponent as 2 are of order 2.