Answer:
2:5
Step-by-step explanation:
The volume of the pyramid is changed by a factor of 125
<u>Solution:</u>
Given that, each side of a pyramid is multiplied by a factor of 5.
We have to find how will the volume of the pyramid changes?
Now, we know that, volume of a pyramid 
Now, each dimension is multiplied by factor of 5.
Then, volume of new pyramid 

Volume of new pyramid = 125
volume of old pyramid.
Hence, the volume of the pyramid is changed by a factor of 125.
Answer:
1.14200738982×10^26
Step-by-step explanation:
Substitution can make this integral much easier to evaluate.
<h3>Substitution</h3>
Let u = 7x² -x. Then du = (14x -1)dx. The limits on x become different limits for u:
for x = 1: u = 7(1²) -1 = 6
for x = 3: u = 7(3²) -3 = 60
<h3>Integral</h3>

R(x) = 11x - 0.025x^2
Revenue is maximum when dr(x)/dx = 0
dr(x)/dx = 11 - 0.05x = 0
0.05x = 11
x = 11/0.05 = 220
The revenue will be maximum when 220000 toys are produced.
r(220) = 11(220) - 0.025(220)^2 = 2,420 - 1,210 = 1,210
Therefore, maximum revenue = $1210000
1 = 130
2 = 50
3 = 50
5 = 130
6 = 50
7 = 50
8 = 130
1 and 4 are the same because of the vertical angle