Answer:

Step-by-step explanation:
Ok, so we start by setting the integral up. The integral we need to solve is:

so according to the instructions of the problem, we need to start by using some substitution. The substitution will be done as follows:
U=5+x
du=dx
x=U-5
so when substituting the integral will look like this:

now we can go ahead and integrate by parts, remember the integration by parts formula looks like this:

so we must define p, q, p' and q':
p=ln U


q'=U-5
and now we plug these into the formula:

Which simplifies to:

Which solves to:

so we can substitute U back, so we get:

and now we can simplify:



notice how all the constants were combined into one big constant C.
Answeer:
12.57cm^2
Step-by-step explanation:
A=pi(2)^2
Well... with the information you are given you just have to assume they are congruent triangles. The first picture looks like a right triangle, but the angle is 100 not 90... so it wouldn't actually look like that.
So for the missing angle all you do is 180= 100+ 55 + x
x=25
Then just match up the angles with the other triangle, they would be the same. K with F, J with G, and so on
Answer:
Option C. 
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared
Let
z-----> the scale factor
x----> surface area of the sponge ball
y----> surface area of a plastic ball

we have


substitute and solve for x


3. 2.5. Take 25/10 and you get 2.5
4. $406.00. (580*30) = 17400/100 = 174, 580-174 = $406
5. $425.00. (500*15) = 7500/100 = 75, 500-75 = $425