The amount of time T (in years) it will take for a population of a certain species to grow from 3500 to a can be modeled by the function Y(a)=log _(5) (a/3500)^1/0.03. Which function is equivalent?

Option C is correct

Step-by-step explanation:

Here, we want to find which of the equations in the option is same as that in the question

The rule to use is that;

Loga B^y

= ylogaB

And also:

loga(X/Y) = logaX-logaY

Now, we start by applying these equations;

T(a) = log5 (a/3500)^1/0.03

T(a) = 1/0.03log5(a/3500)

T(a) = 1/0.03log5a - 1/0.03log53500

This makes the third option correct

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

the car was traveling 40 mph before it started skidding. ( 2 points ) 17. was the driver were her brakes working at 75% efficiency or better? ( 2 points ) yes 29.

step-by-step explanation: