Answer:
10
Step-by-step explanation:
deoends how many pieces each pizza has. if it has 8 pieces each it would be 8×5=40
The series is 84(1+1/5+1/25+...)=84(1/(1-1/5)=84÷4/5=84×5/4=21×5=105. Upper limit is 105.
Answer:

Step-by-step explanation:
So we have the indefinite integral:

This is the same thing as:

So, let's do integration by parts.
Let u be (ln(x))². And let dv be (1)dx. Therefore:

Simplify:

And:

Therefore:

The x cancel:

Move the 2 to the front:

(I'm not exactly sure how you got what you got. Perhaps you differentiated incorrectly?)
Now, let's use integrations by parts again for the integral. Similarly, let's put a 1 in front:

Let u be ln(x) and let dv be (1)dx. Thus:

And:

So:

Simplify the integral:

Evaluate:

Now, we just have to simplify :)
Distribute the -2:

And if preferred, we can factor out a x:

And, of course, don't forget about the constant of integration!

And we are done :)
Answer:
Step-by-step explanation:
When a transversal crosses parallel lines, the interior same-side angles are supplementary. That means ...
a° and 36° are supplementary, so
a = 180 - 36 = 144
and
b° and 113° are supplementary, so
b = 180 -113 = 67
_____
The bases of this trapezoid are parallel, as indicated by the right-pointing arrow on each one. The left- and right-ends of the trapezoid are lines between the parallel bases that meet the requirement for the marked angles next to each one to be supplementary.