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.
We have a system of equations in two variables, namely, a and c. Use the substitution to find a and c.
Answer:
a) 
b) 
c) 
d) 
e) 
Step-by-step explanation:
a) 8 = 2 x 2 x 2
b) 32 = 2 x 2 x 2 x 2 x 2
c) 256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
d) 5 x 2^3 / 64 = 5 x 8 / 64
= 40/64
= 5/8
=
e) 16 - (-2)^3 = 16 - (-8)
= 16 + 8
=
6a-(n-1)(3a) is the nth term
Expanding we get 6a-3an+3a=9a-3an=3a(3-n)
SOLUTION: nth term is 3a(3-n)
Answer:
Option B
Step-by-step explanation:
f(t) = 5000
g(t) = 250t
h(t) = f(t) + g(t) = 5000 + 250t
After 5 years, the amount of money in the account is:
h(t = 5) = 5000 + 250(5) = 5000 + 1250 = 6250$
