There is 4 1/2 cups of green ooze
Answer:
the length of the pole is 9.90 feet.
Step-by-step explanation:
Direct computation:
Parameterize the top part of the circle
by

with
, and the line segment by

with
. Then



Using the fundamental theorem of calculus:
The integral can be written as

If there happens to be a scalar function
such that
, then
is conservative and the integral is path-independent, so we only need to worry about the value of
at the path's endpoints.
This requires


So we have

which means
is indeed conservative. By the fundamental theorem, we have

The third box plot is your answer
Answer:
Avery needs to pay $14.84
Step-by-step explanation:
When there's a tax we need to sum the original value of the product with the tax's value. To find the amount of money Avery needs to pay in taxes we can apply a rule of three as shown below:

Where "x" is the tax value, and $14 represents 100%, since it's the value used to calculate the tax. We have:

The value to be paid is the product value plus the tax, therefore:

Avery needs to pay $14.84