Answer:
Step-by-step explanation:
a) about the line y = 3
⇒ 
is the intersection point
So,
b) about the line x = 5
⇒ 
So,
![V = \int\limits^3_0\pi([5-0]^2-[5-y^2/9]^2)\:dy=\pi\int\limits^3_0(25-25+10y^2/9-y^4/81)\:dy=\\\\=\pi(10y^3/27-y^5/405)|^3_0=\pi(10-3/5)=\frac{47}{5} \pi](https://tex.z-dn.net/?f=V%20%3D%20%5Cint%5Climits%5E3_0%5Cpi%28%5B5-0%5D%5E2-%5B5-y%5E2%2F9%5D%5E2%29%5C%3Ady%3D%5Cpi%5Cint%5Climits%5E3_0%2825-25%2B10y%5E2%2F9-y%5E4%2F81%29%5C%3Ady%3D%5C%5C%5C%5C%3D%5Cpi%2810y%5E3%2F27-y%5E5%2F405%29%7C%5E3_0%3D%5Cpi%2810-3%2F5%29%3D%5Cfrac%7B47%7D%7B5%7D%20%5Cpi)
Answer:
The domain of g(x) is -3 to infinity
Step-by-step explanation:
Given
Required
Determine the domain of g(x)
We start by expressing the content of the square root in the following form:
Subtract 3 from both sides
This can be expressed using interval notation as follows:
<em>Hence, the domain of g(x) is -3 to infinity</em>
So you have to find the volume of the tank, and the volume of the pyramid. Then subtract the volume of the pyramid from that out of the tank. The formula for pyramid is v = lwh/3. For the tank (which is a cube in this case) It's any given side cubed.
40*30*30 = 3600/3=1200cm cubed
40^3 = 6400cm cubed
6400-1200=5200cm^3 of water
(If you don't get this answer then I may have made a calculation error as I did this quickly in my head, just check my answer and yours to see)
Answer:
160 degrees
Step-by-step explanation:
well since the lowest temperature in Alaska is 1/4 of the lowest temperature in Canada then we have to multiply 80 (the lowest temperature in Alaska) with 4.
so we add -80+80=0
0+80=80
80+80=160
plz mark brainliest :3
so srry if im wrong :(
Miguel: 500 out of 750 students have part time jobs.
500 ÷ 250 = 2
750 ÷ 250 = 3
500:750 = 2:3
A) 200 out of 300 ⇒ 200/100 and 300/100 ⇒ 2:3
B) 700 out of 1100 ⇒ 700/100 and 1100/100 ⇒ 7:11
C) 800 out of 1200 ⇒ 800/400 and 1200/400 ⇒ 2:3
D) 9000 out of 1300 ⇒ 9000/100 and 1300/100 ⇒ 90:13
Among the choices, Choice B could represent Kureshi's Data because it is not proportional to the data of Miguel.
Choice D is not possible. You cannot have a result that is way beyond the scope of your population. It is impossible to get 9000 students out of only 1300 students.
