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.
Answer:
The Correlation coefficient is 0
Step-by-step explanation:
Answer:
Tyler should buy 2 goldfishes for his fish tank,
Step-by-step explanation:
First let's find the volume of the sphere, using the following equation:
The radius is half the diameter, so the radius is 14/2 = 7 inches
Now, finding the volume, we have:
Now, we know that we need to have 1 goldfish for every 693 in3 of water, so to find the number of goldfishes, we just need to divide the volume of the sphere by 693 (and round down the result if needed):
Tyler should buy 2 goldfishes for his fish tank,
Answer:
(0,-2)
maximum
Step-by-step explanation:
-x∧2-2 = -1 (x∧2) -2
so the vertex should be (0,-2)
As it is negative for the x∧2, so the graph opens downwards. So, the vertex is a maximum.
Volume of large prism: 8 x 4 x 2 1/4 = 72 cubic inches
volume of small prism: 1/4 ^3 = 0.15625 cubic inches
72 / 0.15625 = 4,608 cubes
