Answer:
A. x = (ln(4))/4
Step-by-step explanation:
2000 = 500e⁴ˣ
(2000)/500 = (500e⁴ˣ)/500
4 = e⁴ˣ
ln(4) = ln(e⁴ˣ)
ln(4) = 4x
(ln(4))/4 = (4x)/4
(ln(4))/4 = x
x = (ln(4))/4
Answer:

Step-by-step explanation:
y = 4x - 5 + 3 = 4x - 2
It's an equation of a line in the slope-intercept form.
y = 4x - 2 → f(x) = 4x - 2 - it's a lienar function.
The domain of a linear function is the set of all real numbers.
If a slope of linear function is different than 0, then the range is the set of all real numbers.
We just substitute in -12 for x in each one and see if it's true
2(-12)+6 = -24 + 6 = -18, not 30, NOPE
-0.25(-12) - 1 = 3-1 = 2, that worked, CHECK ME
-12 - 8 = -20, CHECK ME
-35(-12) +2 = 422, not -515, NOPE
3(-12+25)=3(13)=39, CHECK ME
ANSWER
5
EXPLANATION
We want to simplify:

when x=2.
We substitute x=2 into the absolute value expression to obtain:

The about value of 5 means what is the distance of 5 from zero on the real number line.

Answer:
The tree is 18 feet high.
Step-by-step explanation:
The base was 5 feet away. The bird flew an additional 13 feet.
5+13=18.