What you would do is simply plug in 8 where y is and solve.
5(8)=3478-3c -Times 5 by 8
40=3478-3c -Add 3c to the opposite side of the equal sign
40+3c=3478 -Subtract 40 from the opposite side of the equal sign
3c=3438 -Divide equation by 3
c=1146
Hope this helps! :)
Answer:
I think these should help.
Step-by-step explanation:
You would take random numbers preferable smaller ones such as -1,0,1,2
You would put those in the place of x
Then you would square the value of x. After that you subtract 4. Whatever you come out with is your y value. Then you put the x value on the x axis and from that point count up or down to the number you need on the y axis. Together that would be your point
The volume of a cone is
V = (1/3)πr³
We are given with radius and the height of cone, so we can solve for the radius as function of water level using ratio and proportion
3/9 = r/h
r = h/3
Substituting
V = πh³/81
Taking the derivative
dV/dt = πh²/27 dh/dt
Solving for dh/dt given
dV/dt = 10 m³/s
and
h = 3 m
dh/dt = 9.55 m/s
