Cos(x) = 1 at 0 and 2pi 360 and -360 is the same angle as 2pi so all of the above if you start at 0 and make a complete circle (360) you will be back at point 0.
Answer:
-3, 0, 3
Step-by-step explanation:
Given,
, the set of x values that will make Kayda not to get y values that are not fraction are -3, 0, 3.
This is so, because,
when x = -3, 
when x = 0, 
when x = 3, 
The correct response is -3, 0, 3
<u>Answer</u>
37.96875
<u>Explanation</u>
In geometric sequence we use the formula below to find the nth of a sequence.
Tn = ar⁽ⁿ⁻¹⁾
Where a ⇒ first term
n ⇒ the term we are looking for
T₆ = 5 × (3/2)⁶⁻¹
= 5 × (3/2)⁵
= 5 × 243/32
= 1215/32
= 37 31/32
= 37.96875
Answer:
about 81 years
Step-by-step explanation:
A graphing calculator can give you the answer easily.
__
You can solve the problem algebraically by putting in the given number and solving for t.
30000 = 32000/(1 +12.8e^(-.065t))
12.8e^(-.065t) = (32000/30000) -1 = 1/15
e^(-.065t) = 1/(15·12.8) = 1/192 . . . . . divide by 12.8
-0.065t = ln(1/192) ≈ -5.257 . . . . . . take the natural log
t = -5.257/-0.065 ≈ 80.88 . . . . . . . .divide by the coefficient of t
It will take about 81 years for the number of trees to reach 30,000.