Area of a circle = pi • radius^2
A = πr^2
Your circle's diameter is 3 inches, so the radius is 1.5 inches.
A = π • (1.5)^2
≈ 7.065
≈ 7.1
25.) D
26.) C
27.) B
I hope this helps love! :)
Answer:
The Riemann Sum for
with n = 4 using midpoints is about 24.328125.
Step-by-step explanation:
We want to find the Riemann Sum for
with n = 4 using midpoints.
The Midpoint Sum uses the midpoints of a sub-interval:

where 
We know that a = 4, b = 5, n = 4.
Therefore, 
Divide the interval [4, 5] into n = 4 sub-intervals of length 
![\left[4, \frac{17}{4}\right], \left[\frac{17}{4}, \frac{9}{2}\right], \left[\frac{9}{2}, \frac{19}{4}\right], \left[\frac{19}{4}, 5\right]](https://tex.z-dn.net/?f=%5Cleft%5B4%2C%20%5Cfrac%7B17%7D%7B4%7D%5Cright%5D%2C%20%5Cleft%5B%5Cfrac%7B17%7D%7B4%7D%2C%20%5Cfrac%7B9%7D%7B2%7D%5Cright%5D%2C%20%5Cleft%5B%5Cfrac%7B9%7D%7B2%7D%2C%20%5Cfrac%7B19%7D%7B4%7D%5Cright%5D%2C%20%5Cleft%5B%5Cfrac%7B19%7D%7B4%7D%2C%205%5Cright%5D)
Now, we just evaluate the function at the midpoints:




Finally, use the Midpoint Sum formula

This is the sketch of the function and the approximating rectangles.
Answer:
30
Step-by-step explanation:
You made the same mistake as you did the last time
if you have 50 stocks paying you .15 4 times a year that means you get
50*.15*4= 30
Answer:
120 cups of sugar
8 ounces of paint
Step-by-step explanation:
Given that :
To cover all sides of the rectangular prism with paint, that is the surface area.
The amount of sugar held by the prism is function of its volume.
Hence, doubling the dimension :
The surface area, in unit² is a obtained by
Initial paint required * 2^2
2 * 2² = 2 * 4 = 8 ounces of paint.
For sugar :
It has to do with volume, unit³
Initial * double³
15 * 2³
15 * (8) = 120 cups of sugar