Answer:
(-∞, -5/2) ∪ (1, ∞)
Step-by-step explanation:
"Increasing" means the graph goes up to the right. It is increasing from the left up to the local maximum--the peak at left.
It is increasing again from the local minimum on the right to the right side of the graph.
The two sections where the graph is increasing are ...
(-∞, -5/2) ∪ (1, ∞)
__
The graph is <em>decreasing</em> between the maximum on the left and the minimum on the right.
Answer:
53.2 mph
Step-by-step explanation:
Mara's family travels 239.4 miles between the hours of 9:10 a.m. to 1:40 p.m.
1:40 p.m. is 13:40.
Thus, they traveled for
13 hours 40 minutes - 9 hours 10 minutes = 4 hours 30 minutes
that is
hours.
Use formula:

where
D = distance
r = rate
t = time.
In your case,
D = 239.4 miles
t = 4.5 hours
Hence,

Answer:
The amount of the chemical flows into the tank during the firs 20 minutes is 4200 liters.
Step-by-step explanation:
Consider the provided information.
A chemical flows into a storage tank at a rate of (180+3t) liters per minute,
Let
is the amount of chemical in the take at <em>t </em>time.
Now find the rate of change of chemical flow during the first 20 minutes.

![\int\limits^{20}_{0} {c'(t)} \, dt =\left[180t+\dfrac{3}{2}t^2\right]^{20}_0](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%7B20%7D_%7B0%7D%20%7Bc%27%28t%29%7D%20%5C%2C%20dt%20%3D%5Cleft%5B180t%2B%5Cdfrac%7B3%7D%7B2%7Dt%5E2%5Cright%5D%5E%7B20%7D_0)


So, the amount of the chemical flows into the tank during the firs 20 minutes is 4200 liters.
Answer:

Step-by-step explanation:
The volume of a cylinder is given as:

Since the diameter is
, the radius is
.
Therefore, the volume of this cylinder is:
, using
as requested in the problem.
Since the tank is emptied at a constant rate of
, it will take
to empty the tank.
Answer:
x=13
Step-by-step explanation: