The first thing we should know in this case is that by definition the flow of liquid is given by:
Q = V / t
Where,
V: volume
t: time
The volume of the cone is given by:
V = (pi * r ^ 2 * h) / (3)
Where,
r: radio
h: height
Substituting the values we have:
V = (3.14 * ((3) ^ 2) * 7) / (3)
V = 65.94 in ^ 3
We now turn off the time of the flow equation:
t = V / Q
Substituting values:
t = (65.94) / (14)
t = 4.71 minutes
Answer:
It will take for all the liquid in the funnel to pass through the nozzle about:
t = 4.71 minutes
The original line is
4x - 2y = -12
The parallel lines will all be
4x - 2y = constant
and the constant is given by the point directly:
4x - 2y = 4(4) - 2(-4) = 24
2y = 4x - 24
y = 2x - 12
Answer: y = 2x - 12
Answer:
.5, sqrt 14, 4
Step-by-step explanation:
.5, 3.7416, 4
So we have the system of equations:

equation (1)

equation (2)
To use substitution, we are going to solve for one variable in one of our equations, and then we are going to replace that value in the other equation:
Solving for

in equation (2):



equation (3)
Replacing equation (3) in equation (1):






equation (4)
Replacing equation (4) in equation (3):



We can conclude that the solution of our system of equations is <span>
(7/5, 21/10)</span>