Answer:
The first and third options are the examples of exponential functions.
Step-by-step explanation:
When a quantity is compounded after a certain interval of time at a certain rate, then we can assume that the situation can be represented by an exponential function.
In the first option: An event organizer finds each year's attendance for the past five years is about 
of previous year's attendance.
So, here the total attendance is compounding every year by a factor of previous year's attendance.
Again, in the third case: The total population is increasing by about 7.5% each year.
Hence, the population is compounded every year by 7.5% of the previous year's population.
Therefore, the first and third options are examples of exponential functions. (Answer)
Answer:
D. 10
Step-by-step explanation:
The volume of the cylinder is given by the formula ...
V = πr²h
V = π(4 in)²(13 in) = 208π in³
The volume of a cone 3 inches in radius and 7 inches high is ...
V = (1/3)πr²h = (1/3)(3 in)²(7 in) = 21π in³
Then the ratio of the volume of the cylinder to that of the cone is ...
(208π in³)/(21π in³) ≈ 9.905
You would need to fill the funnel about 10 times to fill the can.
Here you go :) . . . . ..
Answer:
All real numbers are solutions
Step-by-step explanation:
Let's solve your equation step-by-step
3(x+2)=5x+1−2x+5
Step 1: Simplify both sides of the equation
3(x+2)=5x+1−2x+5
(3)(x)+(3)(2)=5x+1+−2x+5(Distribute)
3x+6=5x+1+−2x+5
3x+6=(5x+−2x)+(1+5)(Combine Like Terms)
3x+6=3x+6
3x+6=3x+6
Step 2: Subtract 3x from both sides
3x+6−3x=3x+6−3x
6=6
Step 3: Subtract 6 from both sides
6−6=6−6
0=0
