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
Answer:
12
Step-by-step explanation:
h(x) = f(g(x))
Using chain rule:
h'(x) = f'(g(x)) g'(x)
h'(1) = f'(g(1)) g'(1)
h'(1) = f'(2) g'(1)
h'(1) = -4 × -3
h'(1) = 12
Answer:
-16x-28
Step-by-step explanation:
Break it into little pieces; start with distributing the -7:
-7(5+x)
-35-7x
Now add the rest of the problem: 7-35-7x-9x
Combine like terms: 7-35 7x-9x
7-35=-28 7x-9x=-16x
Rearrange so the coefficient and variable are upfront, giving you:
-16x-28
10 is the stubstitution for 5 q, since 2 plus 5 equals 7. What is 10 divided by 5?