F(x) = ln(x² - 12x)
The derivative is

f(x) is undefined when x² - 12x = x(x - 12) = 0
That is, when x = 0 or x = 12.
Therefore the domain is (-∞, 0)∪(0,12)∪(12, ∞)
Answer:
The derivative is

The domain is
(-∞, 0)∪(0, 12)∪(12,∞)
I am pretty sure that B is the answer
Answer:
This means the mock-up tank has a volume 216 times smaller than the initial tank.
Step-by-step explanation:
The ratio between volume is given by

This means the mock-up tank has a volume 216 times smaller than the initial tank.
Answer: 75 students.
Step-by-step explanation:
In the data set we have a total of 10 + 8 + 7 + 5 = 30 students.
of those, 10 want to go to the park, the percentage is:
(10/30)*100% = 33.3%
Then, out of the 225, we can expect that a 33.3% (or 0.333 in decimal form) want to go to the park, this is:
N = 225*0.333% = 74.925
We can roud it up, and get N = 75
So Sally can expect that 75 students want to go to the park
Answer:
The answer is D.
Step-by-step explanation:
40.5 multiplied by 21 is 850.5