Answer: 17 cm
Step-by-step explanation:
For a regular figure where the area of the base is B, and the height is H, the volume is calculated as:
V = B*H
Here we know that the base of the prism is B = 3 cm^2, and the volume of the prism is 51 cm^3
Then:
B = 3cm^2
V = 51cm^3
If we replace those in the equation above, we get:
51 cm^3 = (3cm^2)*H
Solving this for H gives:
(51 cm^3)/(3 cm^2) = H = 17 cm
The height of the tubing is 17 cm
For discontinuity of the function:
x² - 7 x - 8 ≠ 0
x² - 8 x + x - 8 = 0
x ( x - 8 ) + ( x - 8 ) ≠ 0
( x - 8 ) ( x + 1 ) ≠ 0
The points of discontinuity are: x = - 1 and x = 8.
As for the Domain of the function:
x ∈ ( - ∞, - 1 ) ∪ ( - 1 , 8 ) ∪ ( 8, +∞ ).
60-12-18-2-8=20
=48-18-2-8
=30-2-8
=28-8
=20
So, 20 students don't take either of these subjects.
Answer:

After 7.40 years it will be worth less than 21500
Step-by-step explanation:
This problem is solved using a compound interest function.
This function has the following formula:

Where:
P is the initial price = $ 34,000
n is the depreciation rate = 0.06
t is the elapsed time
The equation that models this situation is:

Now we want to know after how many years the car is worth less than $ 21500.
Then we do y = $ 21,500. and we clear t.

After 7.40 years it will be worth less than 21500
You're gonna want to divide 16 from 40. the answer to that is how many containers being bought. because its one dollar per pint its will be the same answer