Answer:

Step-by-step explanation:
For this case we need to find the following integral:

And for this case we can use the substitution
from here we see that
, and if we solve for x we got
, so then we can rewrite the integral like this:

And if we distribute the exponents we have this:

Now we can do the integrals one by one:

And reordering the terms we have"

And rewriting in terms of x we got:

And that would be our final answer.
82,300 because you need to round it to the 100 place
Answer:
area is equal to base times height
Answer:
Unit rates are expressed as a quantity of 1, such as 3 feet per second or 6 miles per hour, they are called unit rates.
In the given table shows the number of pictures taken and how much time it took.
For first camera;
Number of pictures (unit rate) per second =
pictures.
For second Camera:
Number of picture per second =
pictures.
For third Camera:
Number of picture per second =
pictures.
The camera that takes picture the fastest is, Second Camera.
(a)
As per the given statement: At Davidson's Bike rentals, it costs $29 to rent a bike for 8 hour.
⇒ unit rate per dollar =
hours
Therefore, 0.227 hours (nearest to hundredths) of bike use does a customer get per dollar.
(b)
Jessica bought 18 pounds of sugar for $10.
unit rate per dollar = 
therefore, 1.8 pounds of sugar did she get per dollar.