The graphs arey=(1/3)x^2
and y=3
they intersect at x=3
so the limits are x=0 and 3
to rotate it about y=k, minus k from every function
![area=\pi \int\limits^3_0 {( \frac{1}{3}x^2-3)^2-(3-3)^2 } \, dx](https://tex.z-dn.net/?f=area%3D%5Cpi%20%20%5Cint%5Climits%5E3_0%20%7B%28%20%5Cfrac%7B1%7D%7B3%7Dx%5E2-3%29%5E2-%283-3%29%5E2%20%7D%20%5C%2C%20dx%20)
which evaluates to 72/5pi
A is asnwer
9514 1404 393
Answer:
Step-by-step explanation:
When x represents the number, "the sum of 3 and a number" is (x+3). Twice that sum is 2(x+3). "Is 30" means this expression is equal to 30:
2(x +3) = 30 . . . . an equation for the given conditions
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We can solve this equation by dividing by 2:
x + 3 = 15
x = 12 . . . . . . subtract 3
The number is 12.
The formula for diameter is:
circumference/pi (3.14)
If the circumference is 443, we can divide that by pi.
The answer would then be choice b (141).
For Ryan it would be 5.95=4t+m
For Seth it would be 6.95=3t+2m
1.So next you would figure out just one of the prices by moving the equation around and getting just one variable on each side: m=5.95-4t
2. Substitute that into the second equation and solve: 6.95=3t+2(5.95-4t) then
6.95=3t+11.9-8t (subtract 11.9 from each side) -4.95=-5t (divide each side by 5) t=.99
3. now you know each each tv show is 99 cents. now substitute that into the equation and solve: 6.95=3(.99)+2m then 6.95=2.97+2m (subtract 2.97 from each side) 3.98=2m (divide each side by 2) m=1.99
4. now you know each music video is $1.99 each. check your answer by substituting in each equation:
5.95=4(.99)+(1.99) 5.95=5.95 yes!
6.95=3(.99)+2(1.99) 6.95=6.95 yes!
5. solve in a full sentence: The website charges $0.99 to download a television show and $1.99 to download a music video
Answer:
Picture below
Step-by-step explanation:
● 5/2 is 2.5 so just divide the space between 3 by 2
● for 1/3 divide the space between 0 and by 3