Answer:$25.80
Step-by-step explanation:
6.45/5 = 1.29
1.29 x 20 =25.80
Answer:
The volume is:
cubic units
Step-by-step explanation:
Volume of a solid:
The volume of a solid, given by the function f(x), over an interval between a and b, is given by:
![V = \pi \int_{a}^{b} (f(x))^2 dx](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20%5Cint_%7Ba%7D%5E%7Bb%7D%20%28f%28x%29%29%5E2%20dx)
y = x, y =1, x = 0
This means that the upper function is y = 1, and the lower function is y = x. So
![f(x) = (1 - x)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%281%20-%20x%29)
The lower limit of integration is x = 0.
The upper limit is y = x when y = 1, so x = 1.
Then
![V = \pi \int_{a}^{b} (f(x))^2 dx](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20%5Cint_%7Ba%7D%5E%7Bb%7D%20%28f%28x%29%29%5E2%20dx)
![V = \pi \int_{0}^{1} (1-x)^2 dx](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20%5Cint_%7B0%7D%5E%7B1%7D%20%281-x%29%5E2%20dx)
![V = \pi \int_{0}^{1} (1-2x+x^2) dx](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20%5Cint_%7B0%7D%5E%7B1%7D%20%281-2x%2Bx%5E2%29%20dx)
![V = \pi (x-x^2+\frac{x^3}{3})|_{0}^{1} dx](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20%28x-x%5E2%2B%5Cfrac%7Bx%5E3%7D%7B3%7D%29%7C_%7B0%7D%5E%7B1%7D%20dx)
![V = \pi(1 - (1^2) + \frac{1^3}{3})](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%281%20-%20%281%5E2%29%20%2B%20%5Cfrac%7B1%5E3%7D%7B3%7D%29)
![V = \frac{\pi}{3}](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B%5Cpi%7D%7B3%7D)
14/16
Then reduced it would be
7/8 you leave 16 and add 11 to 3 and get that number
Answer:
80 minutes or 1 hour 20 min
Step-by-step explanation:
we know that
The speed is equal to divide the distance by the time
Let
s -----> the speed in miles per hour
d ----> the distance in miles
t ----> he time in hours
so
![s=\frac{d}{t}](https://tex.z-dn.net/?f=s%3D%5Cfrac%7Bd%7D%7Bt%7D)
solve for t
![t=\frac{d}{s}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7Bd%7D%7Bs%7D)
we have
![s=60\ mi/h](https://tex.z-dn.net/?f=s%3D60%5C%20mi%2Fh)
![d=80\ mi](https://tex.z-dn.net/?f=d%3D80%5C%20mi)
substitute and solve for t
![t=\frac{80}{60}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B80%7D%7B60%7D)
![t=\frac{4}{3}\ h](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B4%7D%7B3%7D%5C%20h)
Convert to minutes
![t=\frac{4}{3}(60)=80\ min](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B4%7D%7B3%7D%2860%29%3D80%5C%20min)