An artificial pond is stocked with an initial population of 2,500 fish. the engineers estimate a 24% decline in the fish population over time without restocking or effects of fishing. the following function models the population, where x is the number of years since the pond was made. f(x) = 2,500(0.76)x

the mathematical range of the function is y > 0. which statement describes how the reasonable range compares to the mathematical range?

the reasonable range has a minimum value of 2,500.
the reasonable range has a maximum value of 2,500.
the reasonable range has a reasonable minimum that cannot be determined.
the reasonable range has a reasonable maximum that cannot be determined.

The reasonable range has a maximum value of 2,500.

Step-by-step explanation:

Notice that the maximum population of fish occurs at the beginning of the study; in other words when time equals zero (x = 0).

We can evaluate our function at x=0 to check how the reasonable range compares with the mathematical range:

Since the fish population is decreasing, it can be never be more than 2,500; therefore the reasonable range has a maximum value of 2,500.

  21.3

step-by-step explanation:

multiplying the given equation by c/sin(25°), we get

  c = 9/sin(25°) ≈ 21.2958 ≈ 21.3

we assume "c" is the length of ab, the side opposite angle c in triangle abc.

each side has a different length.  

step-by-step explanation: