Answer:
So, the volume V is
Step-by-step explanation:
We have that:
We have the formula:
We calculate the volume V, we get
![V=2\pi\int_a^b x(g(x)-f(x))\, dx\\\\V=2\pi\int_0^1 x(7x-0)\, dx\\\\V=2\pi\int_0^1 7x^2\, dx\\\\V=2\pi\cdot 7\left[\frac{x^3}{3}\right]_0^1\\\\V=14\pi\left(\frac{1}{3}-\frac{0}{3}\right)\\\\V=\frac{14\pi}{3}](https://tex.z-dn.net/?f=V%3D2%5Cpi%5Cint_a%5Eb%20x%28g%28x%29-f%28x%29%29%5C%2C%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Cint_0%5E1%20x%287x-0%29%5C%2C%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Cint_0%5E1%207x%5E2%5C%2C%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Ccdot%207%5Cleft%5B%5Cfrac%7Bx%5E3%7D%7B3%7D%5Cright%5D_0%5E1%5C%5C%5C%5CV%3D14%5Cpi%5Cleft%28%5Cfrac%7B1%7D%7B3%7D-%5Cfrac%7B0%7D%7B3%7D%5Cright%29%5C%5C%5C%5CV%3D%5Cfrac%7B14%5Cpi%7D%7B3%7D)
So, the volume V is
We use software to draw the graph.
Answer:
140
Step-by-step explanation:
Solve 40% of 350.
Answer:
992
Step-by-step explanation:
You must convert the meter the kilometer by miltiplying by 1000
and when you do it you must multiply 0.992 by 1000 since it is a fraction .
or you can work it this way :
- 0.992⇒1m
- x(the new rate) ⇒1000m
- x= 0.992*1000= 992
Answer:
Step-by-step explanation:
Midpoint of line segment is calculated as
-----------(1)
Here
Substituting values in equation (1)
We can see that both expressions, 9 times 3 and 9 times 8, have a common number of 9. We can take that number out, and we can combine 3 and 8 together. This gives us the expression 9(3 + 8). Therefore, the expression <span>(9×3)+(9×8) expressed as the distributive property is 9(3 +8), both totaling to 99. Hope this helped and have a fabulous day!</span>
