Answer:
60 feet cubed
Step-by-step explanation:
We are told type of pyramid is a rectangular pyramid.
The volume of a rectangular pyramid = 1/3 × Length × Width × Height
We are told that the pyramids have a base of 4 feet by 5 feet and a height of 4.5 feet.
Volume for one of the pyramid =
1/3 × 4 × 5 × 4.5
= 30 cubic feet
Since the pyramid has the same measurements, that means the second pyramid also has the volume of = 30 cubic feet.
The total volume of the figure of the two pyramids stacked together = 30 cubic feet + 30 cubic feet = 60 cubic feet or 60 feet cubed.
Let
e = Gibson Explorer’s = 20
v = Gibson Flying V’s
So, our problem is
<u>Maximize</u>Money = 80e + 5v<span>
<u>Subject to</u>0 </span>≤ <span>e ≤ 20
</span>0 ≤ v ≤ 20
0 ≤ e + v ≤ 30
In order to solve this problem, we look at the graph (attached), and find the value of Money =80e + 5v at corner points to find the maximum value of money.
(e,v)=(0,0) >> Money = 80e+5v = 80*0+5*0 = 0
(e,v)=(0,20) >> Money = 80e+5v = 80*0+5*20 = 100
(e,v)=(20,0) >> Money = 80e+5v = 80*20+5*0 = 1600
(e,v)=(20,10) >> Money = 80e+5v = 80*20+5*10 = 1650 (maximum)
(e,v)=(10,20) >> Money = 80e+5v = 80*10+5*20 = 900
So Bob can make the
<u>most money = $1,650</u> when he makes and sell
e = <span>Gibson Explorer’s = 20
</span>v = Gibson Flying V’s = 10
3 1/4 = 3.25
1 mile = 5280
5280 * 3.25 = 17,160
Correct answer is D. 17,160
Answer:
x^4 -x^3 -4x^2-3
Step-by-step explanation:
f(x)=x^4−x^2+9
g(x)=x^3+3x^2+12
(f−g)(x)= x^4−x^2+9 - (x^3+3x^2+12)
Distribute the minus sign
(f−g)(x)= x^4−x^2+9 - x^3-3x^2-12
I like to line them up vertically
x^4 −x^2+9
- x^3 -3x^2-12
---------------------------
x^4 -x^3 -4x^2-3
Total portions are
5+4+3
12
One portion,
4860 / 12
405
So
5 : 4 : 3
5*405 : 4*405 : 3:405
2025 : 1620 : 1215