1)volume of the pipeline
The pipeline is a cylinder, therefore;
Volume (cylinder)=πr²h
r=radius
h=height of the cylinder
diameter=6 in*(1 ft / 12 in)=0.5 ft
raius=diameter / 2=0.5 ft / 2=0.25 ft.
height=5280 ft
Volume (pipeline)=π(0.25 ft)²(5280 ft)=330π ft³≈1036.73 ft³.
2) we calculate the number of barrel
1 mile of oil in this pipeline is 330π ft³ of oil.
1 barrel of crude------------------5.61 ft³
x----------------------------------330π ft³
x=(1 barrel*330π ft³) / 5.61 ft³=184.8 barrels
3) we calculate the price.
1 barrel---------------$100
184.8 barrels---------- x
x=(184.8 barrels * $100) / 1 barrel=$18,480
Solution: ≈$18,480
6/10 is the answer but if you want it simplified the the answer would be 3/5.
Answer: The value of
is
.
Step-by-step explanation:
Given: 
To find: 
As we know it is composition function which means that g(x) function is in f(x) function.
So we have
![(f_\circ g) (x) = f[g(x)]](https://tex.z-dn.net/?f=%28f_%5Ccirc%20g%29%20%28x%29%20%3D%20%20f%5Bg%28x%29%5D)

Now substitute the value of g(x) we get

Hence, the value of
is
.
Answer:

Step-by-step explanation:
The given polynomial equation is

We perform the synthetic division as shown in the attachment by dividing by x-2.
This gives a remainder of 0 and a quotient of

This means the polynomial equation becomes:

We factor the quadratic term by splitting the middle term;


Collect common factors again:

The solution is:

It is 45 degrees
that is your answer