Answer:
The volume increases at a rate of 
Step-by-step explanation:
The rate of change of the radius with respect to time is 4 mm / s.
So:

Now we must find a relationship between the volume of a sphere and its radius.
The equation of the volume of a sphere is:

So:

The diameter of the sphere is 100 mm. Therefore its radius is 100/2 = 50 mm.
So:

The volume increases at a rate of :
40000 π mm ^ 3 / s = 125663.71 mm^3/s
Answer:
Undefined
Step-by-step explanation:
Answer:
x > -3

Step-by-step explanation:
Domain: input values (x-values)
Monotonic increasing: always increasing.
A function is increasing when its graph rises from left to right.
The graph of a quadratic function is a parabola. If the leading term is positive, the parabola opens upwards. The domain over which the function is increasing for a parabola that opens upwards is values greater than the x-value of the vertex.
<u>Vertex</u>
Standard form of quadratic equation: 

Given function:

Therefore, x-value of function's vertex:

<u>Final Solution</u>
The function is increasing when x > -3

Sarah covers 17 1/4 miles per hour.
Hope this helps!
Answer:
hello
3 x + 50 = 6 x - 10
3 x - 6 x = - 10 - 50
- 3 x = - 60
x = 20
Step-by-step explanation: