Answer:
Quadrant III
Step-by-step explanation:
Given:
The expression is:
![2b^3+5](https://tex.z-dn.net/?f=2b%5E3%2B5)
To find:
The value of the given expression when
.
Solution:
We have,
![2b^3+5](https://tex.z-dn.net/?f=2b%5E3%2B5)
Substituting
in the above expression, we get
![2b^3+5=2(3)^3+5](https://tex.z-dn.net/?f=2b%5E3%2B5%3D2%283%29%5E3%2B5)
![2b^3+5=2(27)+5](https://tex.z-dn.net/?f=2b%5E3%2B5%3D2%2827%29%2B5)
![2b^3+5=54+5](https://tex.z-dn.net/?f=2b%5E3%2B5%3D54%2B5)
![2b^3+5=59](https://tex.z-dn.net/?f=2b%5E3%2B5%3D59)
Therefore, the value of given expression at
is 59.
Answer: 1. B 10(15 12 + 8) = 350
2. C
Step-by-step explanation:
Answer:
h=14.9966
Step-by-step explanation:
1. The formula of the volume is:
V=![\frac{ab(h)}{3}](https://tex.z-dn.net/?f=%5Cfrac%7Bab%28h%29%7D%7B3%7D)
2. So you have to substitute the the data that you have:
3533.5
=![\frac{ab(h)}{3}](https://tex.z-dn.net/?f=%5Cfrac%7Bab%28h%29%7D%7B3%7D)
3. To have the area of the base (ab) you have to get the formula of the circle's area and solve:
A=
(
)
A=
(
)
A=3.1416(225)
A=706.86in
4. Now you have the area of the base:
3533.5
=![\frac{706.86(h)}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B706.86%28h%29%7D%7B3%7D)
5. In this step you are going to clear the variable which is the heigh (h) and solve as an equation:
3533.5
=![\frac{706.86(h)}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B706.86%28h%29%7D%7B3%7D)
3533.5
(3)=706.86(h)
=h
h=14.9966
The result may vary depending on the value of
that you use,
5 years ago, Karl was 20 and James was 5. 20-5=15 and 4*5=20. Now, Karl is 25 and James is 10. In 4 years, Karl will be 29 and James will be 14.