You are given the length of a
rectangular prism of 3x^2, width of 2x and height of x^2 + 3x +5. You are
required to find the volume of a rectangular prism. Using the equation V = l x
w x h, we multiply the three dimensions.
V = l x w x h
V = (3x^2)(2x)( x^2 + 3x +5)
V = 2x (3x^4 + 9x^3 + 15x^2)
<u>V = 6x^5 + 18x^4 + 30x^3</u>
<u> </u>
<u>The volume of the rectangular
prism is 6x^5 + 18x^4 + 30x^3.</u>
Answer:
There are 8 cans on each of the equal shelves
Step-by-step explanation:
Total number of cans put in display = 35
Shelves with equal no of cans = 4 Shelves
And one shelf displays only 3 cans
Therefore, 4 shelves with equal no of cans + 1 shelf with 3 cans = 35 cans
Let us assume equal no. of cans be x
We get, 4x + 3 = 35
4x = 35 - 3
4x = 32
x = 32 ÷ 4
x = 8
<u><em>Thus, 4 shelves with equal no of cans contains 8 cans each.</em></u>
Ratios and proportions tie into each other. A ratio in real life would be basically comparing two quantities, as a proportion would be solving for the similar ratio or the equal ratio to another.
The answer to this probability question is .86 or 86%. The probability that a batch of 10,000 batteries will contain at least 175 defective batteries is 86 percent. I calculated the failure rate of 10,000 batteries (10k*.015) and yielded 150, meaning there will be 150 batteries that will be defective in a set of 10,000. Then i divided 150 by 175 to get the probability.
<span>Martin deposits $200
in a savings account that earns 5% annual interest.
year interest balance
1 200 * 5% 200(1.05)
2 200(1.05) * 5% 200(1.05)^2
3 200(1.05)^2*5% 200(1.05)^3
y 200(1.05)^y
=> m = 200 (1.05)^y
four years later,
cary deposits $200 in an account earning the same interest.
</span>
<span><span>year interest balance
5 200 * 5% 200(1.05)
6 200(1.05) * 5% 200(1.05)^2
7 200(1.05)^2*5% 200(1.05)^3
y 200(1.05)^(y-4)
=> c = 200(1.05)^ (y-4)
</span>
Answer:
Martin: 200(1.05)^y
Cary: 200(1.05)^(y–4)</span>
