Answer:
a. V = (20-x) 
b . 1185.185
Step-by-step explanation:
Given that:
- The height: 20 - x (in )
- Let x be the length of a side of the base of the box (x>0)
a. Write a polynomial function in factored form modeling the volume V of the box.
As we know that, this is a rectangular box has a square base so the Volume of it is:
V = h *
<=> V = (20-x)
b. What is the maximum possible volume of the box?
To maximum the volume of it, we need to use first derivative of the volume.
<=> dV / Dx = -3 + 40x
Let dV / Dx = 0, we have:
-3 + 40x = 0
<=> x = 40/3
=>the height h = 20/3
So the maximum possible volume of the box is:
V = 20/3 * 40/3 *40/3
= 1185.185
Answer:
A. z = 2292.8 is your answer
Step-by-step explanation:
Isolate the variable (z). Note the equal sign, what you do to one side, you do to the other. Add 1092.8 to both sides
z - 1092.8 (+1092.8) = 1200 (+1092.8)
z = 1200 + 1092.8
z = 2292.8
A. z = 2292.8 is your answer
~
Answer:
Yes
Step-by-step explanation:
Answer: m = 3
Step-by-step explanation: convert to standard form 3x - y = -7
slope using standard form
Answer:
The right answer is approximately 210.031 cubic inches. (Answer: E)
Step-by-step explanation:
First, we need to convert the diameter (
), in inches, of the round balloon to an entirely decimal mode:
The volume of the balloon is modelled after the volume function of a sphere (
), in cubic inches:
(1)
If we know that , then the volume of the round balloon is:
Hence, the right answer is approximately 210.031 cubic inches.
