Answer:
Four less a number
Step-by-step explanation:
x-4 is literally subtracting 4 and 4 less a number is basically also subtracting 4 from an equation.
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)
Answer:
There are 15 orange picks when we have 25 picks total
Step-by-step explanation:
orange: green : total
3 2 5
We found the total by adding the orange and the green
We have 25 total picks
25/5 = 5
We need to multiply by 5 on everything to get to 25 picks
orange: green : total
3 *5 2*5 5*5
15 10 25
There are 15 orange picks when we have 25 picks total
The equation is of the form y = mx + c, where m is the slope and c just a constant. In this example, m=-5 and c=-2/3, so the slope is -5. The -2/3 is just a vertical offset and is irrelevant.