Answer:
m = 
Step-by-step explanation:
Slope: (see image)
= 
= 1/2
He received 102.18 dollars
Answer:
No answer……
Step-by-step explanation:
No graph to go by.
Answer:
1. a/b = 2
2. a/b = 1/3
Step-by-step explanation:
3a=6b
We want to find a/b
Divide each side by b
3a/b=6b/b
3a/b = 6
Divide each side by 3
3a/3b =6/3
a/b = 2
15a=5b
We want to find a/b
Divide each side by b
15a/b = 5b/b
15a/b = 5
Divide each side by 15
15 a/15b = 5/15
a/b = 1/3
If a box has a square base its volume will be:
V=hb^2 where h is the height...
h=V/b^2 we are told that V=125 so
h=125/b^2 now for the surface area, which consists of the two bases for a total of 2b^2. It will also have four sides with a total area of 4(bh)=4bh so
A=2b^2+4bh, using h found above in this gives us:
A=2b^2+4b(V/b^2)
A=2b^2+4V/b
A=(2b^3+4V)/b, then taking the derivatives we can find the velocity of the area function.
dA/db=(6b^3-2b^3-4V)/b^2
dA/db=(4b^3-4V)/b^2
dA/db=0 when 4b^3-4V=0
b^3=V
b=V^(1/3), since V=125
b=5in, and since h=V/b^2
h=125/25=5in
So the dimensions that will minimize the amount of material used to enclose a volume of 125in^2 is a 5in cube.
h=b=5in
