The velocity v and maximum height h of the water being pumped into the air are related by the equation
v= 
where g = 32
(a) To find the equation that will give the maximum height of the water , solve the equation for h
v=
Take square root on both sides
= 2gh
Divide by 2g on both sides
= h
So maximum height of the water h =
(b) Maximum height h= 80
velocity v= 75 ft/sec
Given g = 32
h =
h = 
h= 87.89 ft
The pump withe the velocity of 75 ft/sec reaches the maximum height of 87.89 feet. 87.86 is greater than the maximum height 80 feet.
So the pump will meet the fire department needs.
4/10 is 2/5 or 0.4 in decimal form.
It is given the probability that a dancer like ballet is 0.35
So, P(B) = 0.35
It is given the probability that a dancer like tap is 0.45
So, P(T)= 0.45
The probability that he likes both ballet and tap is 0.30
So, 
the probability that the dancer likes ballet if we know she likes tap. This is the case of conditional probability.
So, 
= 0.666
= 0.67
Therefore, the probability that the dancer likes ballet if we know she likes tap is 0.67.
Option 3 is the correct answer.
The answer is 90,000.
The value of 9 in 495,123 is 10,000 times the value of 9 in 63,129
First do 8 divided by 9 = 0.88 x 6 x 19 start from the left and work to the right 0.88 x 6 = 5.33 x 19 = 101.3
