Average rate of change is just the slope betwen the points
that is just the slope between (-3,-3) and (-4,-1)
slpe between (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
so slope between (-3,-3) and (-4,-1) is (-1-(-3))/(-4-(-3))=(-1+3)/(-4+3)=2/-1=-2
the average rate of change is -2
S + 2.8 = 6.59
s = ?
To solve for s use the inverse operation of addition, which is subtraction.
s + 2.8 = 6.59
6.59 - 2.8 = s
6.59 - 2.8 = 3.79
s = 3.79
Check:
s + 2.8 = 6.59
s = 3.79
3.79 + 2.8 = ?
3.79 + 2.8 = 6.59
Correct!
This proves: s = 3.79 ;)
Answer:
dh/dt = 0.4 m/min
Step-by-step explanation:
The volume of the cone is:
V(c) = (1/3)*r² *h if always h = 3r then r = h/3
The volume of the cone as a function of h will be:
V(h) = (1/3)* (h/3)²*h
V(h) = (1/27)*h³
The increasing rate of the volume is equal to the rate of sand added the:
D(V)/dt = (1/27)*3*h²*dh/dt
D(v) / dt = 10 m³/min
h = 15 m and dh/dt is the rate of increasing of the height
By substitution
10 m³/min = ( 1/9)* 225 * dh/dt (m²)
dh/dt = 90 / 225 m/min
dh/dt = 0.4 m/min
