<span>y=axb^x.
when x>0 and not equal to 0</span>
we are given

We will simplify left side and make it equal to right side
Left side:

we can use trigonometric identity

we can replace it

we know that
csc=1/sin and sec=1/cos
so, we can replace it
and we get

now, we know that
tan =sin/cos

we can simplify it
and we get

we can also write it as

Right Side:

we can see that
left side = right side
so,
......Answer
Answer: 80 minutes
Step-by-step explanation:
Hi, to answer this question we have to write an equation for each tank:
An empty 1200 gallon tank is filled with water at a rate of 6 gallons of water per minute.
So, the amount of water of the tank is equal to the filling rate, 6 liters per minute (6m)
- Tank 1 =0 (empty )+ 6m =6m
The second 1200 gallon tank full of water is being drained at a rate of 9 gallons per minute.
So, the amount of water in the tank is equal to the amount of water already in the tank (1200 g), minus the draining rate (9m)
Since both tanks will have the same amount of water:
6m = 1200-9m
Solving for m (minutes):
6m+9m= 1200
15m = 1200
m= 1200/15
m= 80 minutes
Feel free to ask for more if needed or if you did not understand something.
Answer:
11
Step-by-step explanation: