Answer:
The volume of the water in the pool is 1,017 cubic feet
Step-by-step explanation:
we know that
The volume of a cylinder is equal to

we have
----> the radius is half the diameter
Remember that

so

To find out the height of the water, subtract 0.5 feet from the height of the swimming pool

assume

Find the volume of the water


The answer would be {(n^5)^2}/{(4*m^3)^2} = { n^{10} }/{16*m^6}
The error rate has decreased after changing the painting process.
<u>Step-by-step explanation:</u>
Abdulla knows that 20 percent of the parts have an error in their painting. After suggesting changes in painting process, he wants to know whether the error rate has changed.
Number of parts in the random sample=400400400
Number of parts that had an error=606060
We have to determine what percentage of 400400400 is 606060

After changing the painting process 0.15% of parts have error.
The previous percentage was 20.Hence the error rate has clearly changed.
Answer:
Step-by-step explanation:
Let 
Subbing in:

a = 9, b = -2, c = -7
The product of a and c is the aboslute value of -63, so a*c = 63. We need 2 factors of 63 that will add to give us -2. The factors of 63 are {1, 63}, (3, 21}, {7, 9}. It looks like the combination of -9 and +7 will work because -9 + 7 = -2. Plug in accordingly:

Group together in groups of 2:

Now factor out what's common within each set of parenthesis:

We know this combination "works" because the terms inside the parenthesis are identical. We can now factor those out and what's left goes together in another set of parenthesis:

Remember that 
so we sub back in and continue to factor. This was originally a fourth degree polynomial; that means we have 4 solutions.

The first two solutions are found withing the first set of parenthesis and the second two are found in other set of parenthesis. Factoring
gives us that x = 1 and -1. The other set is a bit more tricky. If
then
and

You cannot take the square root of a negative number without allowing for the imaginary component, i, so we do that:
±
which will simplify down to
±
Those are the 4 solutions to the quartic equation.