C. $860 I may be wrong, I'm no math master
Answer:
The value of
is
.
Step-by-step explanation:
The given equation is

We need to find the value of
.
Differentiate with respect to t.
![[\because \frac{d}{dx}x^n=nx^{n-1},\frac{d}{dx}C=0]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cfrac%7Bd%7D%7Bdx%7Dx%5En%3Dnx%5E%7Bn-1%7D%2C%5Cfrac%7Bd%7D%7Bdx%7DC%3D0%5D)

It is given that y=2 and dy/dt=1, substitute these values in the above equation.



Divide both sides by 4x³.


Therefore the value of
is
.
Answer:
33.
Step-by-step explanation:
Arithmetic sequence with a1 = 5 and d = 2.
nth term = a1 + d(n - 1), so
15th term = 5 + 2(15 - 1)
= 5 + 2*14
= 33.
Answer:
volume = 31.5w
Step-by-step explanation:
A rectangular prism is a 3 dimensional figure that have 6 faces that are rectangular in shape. To ascertain the volume of a rectangular prism you need to know the length, width and height. The formula for the volume of a rectangular prism is represented below .
volume of a rectangular prism = LHW
where
L= length
H = height
W = width
volume = LHW
L = 7.5 ft
W = w ft
H = 4.2 ft
The expression for the volume of a rectangular prism with the following value above can be represented below.
volume = 4.2 × 7.5 × w
volume = 31.5w