Answer:
<u>c = 10 - 11(0.65)</u>
Step-by-step explanation:
The equation is :
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Change will be :
Answer:
a. 5
Step-by-step explanation:
To find slope, subtract the y's.
5 - -5 is 10.
Put that on the top of a fraction.
Subtract the x's.
3 - 1 is 2, put that on the bottom of the fraction.
So the slope is 10/2. This simplifies to 5 (because 10÷2 is 5).
The slope is 5.
Answer:
r = -39
Step-by-step explanation:
So we are trying to solve the equation for r.
-6(2r + 8) = -10(r - 3)
Divide both sides by -2. (This will make distributing much easier.)
3(2r + 8) = 5(r - 3)
Distribute the 3 on the left side and the 5 on the right side,
6r + 24 = 5r - 15
Subtract 24 from both sides.
6r = 5r - 39
Subtract 5r from both sides.
r = -39
So now we have solve the equation.
I hope you find my answer and explanation to be helpful. Happy studying. :)
Answer:
Either one of these.
Step-by-step explanation:
volumepile=1/3 (PI r^2)h
but r=h/2, so
volume=1/12 PI h^3
dv/dt=10 ft^3/min
but dv/dt=1/12 PI 3h^2 dh/dt
solve for dh/dt
This assumes you mean by "altitude" the height. If you mean altitude as slant height, you have to adjust the fromula
_______________________________________________
given: r = h/2
V = (1/3)π r^2 h
= (1/3)π (h/2)^2 (h)
= (1/12) π h^3
dV/dt = (1/4)π h^2 dh/dt
for the given data ...
10 = (1/4)π(25)dh/dt
dh/dt = 10(4)/((25π) = 1.6/π feet/min
