Answer:3.55
Step-by-step explanation:
you add the time dude
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
Answer:
(2x-3)(2x+3)
Step-by-step explanation:
4x^2-0x-9
(4x^2-9)
(2x)^2 - (3)^2
We recognize that this is the difference of squares a^2 - b^2 = (a-b)(a+b)
(2x-3)(2x+3)
Answer:
7(m + 2)
Step-by-step explanation:
1) <em>Add the numbers</em>
- 3 + 2m-1 + 5m + 12
- 14 + 2m + 5m
2)<em> Combine like terms</em>
3) <em>Rearrange terms</em>
4) <em>Common factor</em>
<em />
- <em>Factor by grouping</em>
- 3 + 2m - 1+ 5m + 12
- 7m + 14
- <em>Factor by grouping</em>
⇒ 3 + 2m - 1 + 5m + 12
⇒ 7(m + 2)
Solution:
Step-by-step explanation:
step 1. (1) 5a +8c +4p = 57
(2) 9a +8c + 7p = 89
(3) 8a + 4c + 5p = 68.
step 2. this is a 3 variable system. solve the system.
step 3. eliminate c from (1) and (2) and also from (2) and (3). so you now have 4a + 3p = 32 and 7a + 3p = 47. now you have a two variable system
step 4. eliminate p by subtracting: 3a = 15 so a = 5.
step 5. if a = 5 then p = 4 ( plug into step 3)
step 6. if a = 5, p = 4, then c = 2 (plug into step 1).
step 7. apples = 5, pears = 4, cherries = 2.
