Answer:
70
Step-by-step explanation:
Hello from MrBillDoesMath!
Answer: 70%
Discussion:
Goal = 5000
Amount raised = 3500
Percent of goal reached = ( 3500/5000) * 100 =
0.7 * 100 = 70
Thank you,
MrB
It's A.
1. The closed circle connects to the x≥1 function, so that rules out B and C.
2. The x≥1 piece has a positive slope on the graph, so that rules out D.
Answer:
The height of the pile is increasing at a rate of 1.78 ft/min
Step-by-step explanation:
As we can see, we have the rate at which the volume is increasing
Mathematically, the volume of a cone can be calculated by the formula;
1/3 * π * r^2 * h
but here, we are dealing with base diameter which is d
and r is d/2
So we have the formula as;
1/3 * π * (d/2)^2 * h
since h is same as d for this particular cone, we can replace d with h so that we now have;
1/3 * π * h^3/4
= πh^3/12
what we have in the question is dv/dt
what we want to calculate is dh/dt
Mathematically;
dh/dt = dh/dv * dv/dt
dh/dv is 1/dv/dh
dv/dh = πh^2/36 where h = 15
dv/dh = 225 π/36
dh/dv is now;
36/225π
So, finally;
dh/dt = 36/225 π * 35
dh/dt = 1.78 ft/min
Expand -8(3x+9). Then 33x - 24x - 72 > -9
Combining the x terms and then the constant terms,
9x > 63. Dividing both sides by 9, x > 7 (answer)
