The cubic feet of space that is in the subway car is the volume of the subway car which is 5,502.
<h3>How many cubic feet of space are there in a subway car?</h3>
The shape of a subway car is in the form of a rectangular prism. In order to determine the cubic feet of space, the volume of the car has to be determined. The formula for the volume of a rectangular prism would be used.
Volume = width x height x length
12 x 51 x 8.5 = 5205
Here is the complete question:
The floor of an NYC subway car measures approximately 51 feet by 8.5 feet. The height of the NYC subway car measures approximately 12 feet. How many cubic feet of space are there in a subway car?
To learn more about the volume of a cuboid, please check: brainly.com/question/26406747
Answer:
576
Step-by-step explanation:
4 feet^2 = 2 feet*2 feet = 24 inch * 24 inch. 24*24 = 576.
A women doesn’t feel right about ditching school is an internal struggle
Answer:
![R'(20) = 2000](https://tex.z-dn.net/?f=R%27%2820%29%20%3D%202000)
Step-by-step explanation:
We are given the following in the question:
Quantity, q
Selling price in dollars per yard, p
![q=f(p)](https://tex.z-dn.net/?f=q%3Df%28p%29)
Total revenue earned =
![R(p)=pf(p)](https://tex.z-dn.net/?f=R%28p%29%3Dpf%28p%29)
f(20)=13000
This means that 13000 yards of fabric is sold when the selling price is 20 dollars per yard.
f′(20)=−550
This means that increasing the selling price by 1 dollar per yards there is a decrease in fabric sales by 550.
We have to find R'(20)
Differentiating the above expression, we have,
![R'(p) = \displaystyle\frac{d(R(p))}{dp} = \frac{d(pf(p))}{dp} = f(p) + pf'(p)](https://tex.z-dn.net/?f=R%27%28p%29%20%3D%20%5Cdisplaystyle%5Cfrac%7Bd%28R%28p%29%29%7D%7Bdp%7D%20%3D%20%5Cfrac%7Bd%28pf%28p%29%29%7D%7Bdp%7D%20%3D%20f%28p%29%20%2B%20pf%27%28p%29)
Putting the values, we get,
![R'(p) = f(p) + pf'(p)\\\\R'(20) = f(20) + 20(f'(20))\\\\R'(20) = 13000 + 20(-550) = 2000](https://tex.z-dn.net/?f=R%27%28p%29%20%3D%20f%28p%29%20%2B%20pf%27%28p%29%5C%5C%5C%5CR%27%2820%29%20%3D%20f%2820%29%20%2B%2020%28f%27%2820%29%29%5C%5C%5C%5CR%27%2820%29%20%3D%2013000%20%2B%2020%28-550%29%20%3D%202000)