It is D, because looking at a unit circle, 5pi/3 is about the same location as -sqrt3 which is approximately 1.4.
Given that the population has been modeled by the formula:
a=118e^(0.024t), the time taken for the population to hit 140k will be given by:
140000=118e^(0.024t)
solving for t we shall have:
140000/118=e^(0.024t)
thus;
0.024t=ln(140000/118)
t=1/0.024*ln(140000/118)
t=295
thus the time the population will be 140000 will be:
1998+295
=2293
Answer:
Step-by-step explanation:
1) First, find the slope of the equation. Use the slope formula
. Substitute the x and y values of the given points into the formula and solve:

Thus, the slope is
.
2) Now, use the point-slope formula
to write the equation in point-slope form (from there we can convert it to slope-intercept). Substitute values for
,
, and
.
Since
represents the slope, substitute
for it. Since
and
represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, the end result will be the same) and substitute its x and y values into the formula as well. (I chose (4,1), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the answer.

Answer:
Phil is 23
Step-by-step explanation:
Add 14 to 9 and you get 23. So then you subtract 9 from 23
Answer:
Step-by-step explanation:
A circle is inscribed in an equilateral triangle PQR with centre O. If angle OQR = 30°, what is the perimeter of the triangle?
This is a circle inscribed in an equilateral triangle with side s.
If you are asking for the perimeter of PQR, it is 3s.
If you are asking for the perimeter of OQR, it is (3+23–√3)s
Since OR and SR are the hypotenuses of right triangles with adjacent side equal to ½ s, their length is ½s / cos 30° = (√3) /3.
(3/3)s + ((√3) /3)s + ((√3) /3)s = ((3 + 2√3)/3)s ≈ 2.1547s
Hope it helps
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