To find the dimensions of the tank, you will use the volume of a rectangular prism formula.
V = BH, where B is the area of the base and H is the height.
400 in^2 x 12 in
V = 4800 in^3
This volume would be less than 5000 cubic inches, so to find the dimensions, you will need to find 2 factors that equal 400 (20 in x 20 in).
All the dimensions would be length 20 in, width, 20 in, and height 12 in.
Probability
You will add both probabilities after finding them both.
The spinner is 1/2 because a and b are half of the full spinner.
The cube is 1/6 because 2 is only one unit of the cube.
1/2+1/6=2/3
Meaning, the probability of both these events happening is 66.6% approximately.
Answer:
The derivative of the function does not exist.
Step-by-step explanation:
The alternative form of a derivative is given by:

Our function is defined as:
h(x)=|x+8|
i.e. h(x)= -(x+8) when x+8<0
and x+8 when x+8≥0
i.e. h(x)= -x-8 when x<-8
and x+8 when x≥-8
Hence now we find the derivative of the function at c=-8
i.e. we need to find the Left hand derivative (L.H.D.) and Right hand derivative (R.H.D) of the function.
The L.H.D at a point 'a' is calculated as:

Similarly R.H.D is given by:

Now for L.H.D we have to use the function h(x) =-x-8
and for R.H.D. we have to use the function h(x)=x+8
L.H.D.
we have a=-8

= 
similarly for R.H.D.


Now as L.H.D≠R.H.D.
Hence, the function is not differentiable.
The answer would be B, there are no real solutions to the secretion because the Square root of a negative number is not a real number.