Let 
represent the depth of the miner and equipments elevator, respectively. We know that equipment elevator descends with a velocity of 
feet per second, and the miners one descends with a velocity of 
feet per second.
If we start counting time (
) when the equipment elevator begins to descend, after 
seconds its depth will be
On the other hand, the miner elevator follows the same rule, but we have to use its velocity, and remember that it starts with a delay of thirty seconds:
Now, we have to wait the 30 seconds of delay, and then another 14 seconds. This means that we want to know the positions of both elevators when 
. Let's plug this value into the two equations:
So, the equipment elevator is 176 feet deep, and the miner elevator is 210 feet deep, and thus this is the deeper one.
Answer:
Her brother was born in 1989
Step-by-step explanation:
Since the brother was 7 when Stacy was born in 1996, all you have to do is subtract 7 from 1996 to get 1989 because thats when the brother would be zero years of age.
Answer:
40 
Step-by-step explanation:
The figure is a rectangular prism, so the formula would be Volume = length x width x height.
length = 6 
cm
width = 2 cm
height = 2 cm
If you plug everything you have in the problem into the volume equation, you would get : Volume = 6 cm x 2 cm x 2 cm.
Without a calculator, I would first turn the mixed numbers into improper fractions.
- 6 =
- 2 =
Volume = x x
When you multiply everything together you should get 
.
As a mixed number, that would be 40 .
Answer:
f(2) = -40
Step-by-step explanation:
Just substitute x=2 into the function:
f(x) = 2x³ - 3x² - 18x - 8
f(2) = 2(2)³ - 3(2)² - 18(2) - 8
f(2) = 2(8) - 3(4) - 36 - 8
f(2) = 16 - 12 - 44
f(2) = 4 - 44
f(2) = -40
It take 23 mins for the drive
He needs to reach the airport by a quarter before 6
a quarter before 6 = 5.45
So he needs to leave 23 mins before 5.45
23 mins before 5.45 = 5.22
