Answer:
x = 8
Step-by-step explanation:
3 (x - 5) + 7x = 65
3x - 15 + 7x = 65
10x - 15 = 65
10x = 80
x = 8
Answer:
The height of the cone-shaped cup is 6 inches and the diameter at the top is 3 inches. ... To find the volume of the cone, you use a formula similar to that of a pyramid, ... \begin{align*}V & = \frac{1}{3} \pi r^2 h \\ V & = \frac{1}{3} (3.14)(5^2 )(7) ... The answer is the volume of the cone is 183.16 cubic inches.
Step-by-step explanation:
i think thats it it was right on gogle
The distributive property is being displayed here. The distributive property shows if you have a problem like 3(a+c), it can be converted into 3a+3c. It shows itself in this because it is distributing -2 to both a and b.
Answer: The distributive property is being shown here.
Hope I helped!
Answer:

Step-by-step explanation:
We are given that a function

We have to find the average value of function on the given interval [1,e]
Average value of function on interval [a,b] is given by

Using the formula

By Parts integration formula

u=ln x and v=dx
Apply by parts integration
![f_{avg}=\frac{1}{e-1}([xlnx]^{e}_{1}-\int_{1}^{e}(\frac{1}{x}\times xdx))](https://tex.z-dn.net/?f=f_%7Bavg%7D%3D%5Cfrac%7B1%7D%7Be-1%7D%28%5Bxlnx%5D%5E%7Be%7D_%7B1%7D-%5Cint_%7B1%7D%5E%7Be%7D%28%5Cfrac%7B1%7D%7Bx%7D%5Ctimes%20xdx%29%29)
![f_{avg}=\frac{1}{e-1}(elne-ln1-[x]^{e}_{1})](https://tex.z-dn.net/?f=f_%7Bavg%7D%3D%5Cfrac%7B1%7D%7Be-1%7D%28elne-ln1-%5Bx%5D%5E%7Be%7D_%7B1%7D%29)

By using property lne=1,ln 1=0
