Answer:
1/4 assuming x is not 0
Step-by-step explanation:
x^0 is 1 and 1/4 * 1 = 1/4
Answer:
95% of 40 is 38. 2 questions are wrong.
Step-by-step explanation:
1 hr = 60 min
1/6 hr = (60/6) min = 10 min
so the bell rings every 10 min. Since 1 hr = 60 min, this means that 2/3 of that is 40 min. So the bell will ring 4 times (divide 40 over 4) in the next 2/3 of an hour, which is the same as saying "the bell will ring 4 times in the next 40 minutes"
Answer: 4 times
Answer:
Step-by-step explanation:
For this case we are interested on the region shaded on the figure attached.
And we can find the volume with the method of rings.
The area on this case is given by:
![A(x) = \pi [f(x)]^2 = \pi r^2 = \pi [3x]^2 = 9\pi x^2](https://tex.z-dn.net/?f=%20A%28x%29%20%3D%20%5Cpi%20%5Bf%28x%29%5D%5E2%20%3D%20%5Cpi%20r%5E2%20%3D%20%5Cpi%20%5B3x%5D%5E2%20%3D%209%5Cpi%20x%5E2)
And the volume is given by the following formula:

For our case our limits are x=0 and x=2 so we have this:

And if we solve the integral we got this:
![V= \pi [\frac{x^3}{3}]\Big|_0^{2}](https://tex.z-dn.net/?f=%20V%3D%20%5Cpi%20%5B%5Cfrac%7Bx%5E3%7D%7B3%7D%5D%5CBig%7C_0%5E%7B2%7D)
And after evaluate we got this:
![V=\pi [(\frac{8}{3} )-(\frac{0}{3} )]](https://tex.z-dn.net/?f=%20V%3D%5Cpi%20%5B%28%5Cfrac%7B8%7D%7B3%7D%20%29-%28%5Cfrac%7B0%7D%7B3%7D%20%29%5D)