Answer:
A) 952 insects are in the original colony
B) 10494 insects are in the colony after 20 weeks
C) 25 weeks
Explanations:
The model representing the population of the species of insects
![P(t)=952e^{0.12t}](https://tex.z-dn.net/?f=P%28t%29%3D952e%5E%7B0.12t%7D)
An exponential growth is of the form:
![P(t)=P_0e^{kt}](https://tex.z-dn.net/?f=P%28t%29%3DP_0e%5E%7Bkt%7D)
where P₀ is the original population
t is the time taken in weeks
Comparing the two equations:
![P_0=\text{ 952}](https://tex.z-dn.net/?f=P_0%3D%5Ctext%7B%20952%7D)
952 insects are in the original colony
B. The number of insects that will be in the colony after 20 weeks
Substituting t = 20 into the function given
![\begin{gathered} P=952e^{0.12(20)} \\ \text{P = }10494 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%3D952e%5E%7B0.12%2820%29%7D%20%5C%5C%20%5Ctext%7BP%20%3D%20%7D10494%20%5Cend%7Bgathered%7D)
C) If the population, P = 20000
What the other guy said is correct 8761
Answer:
Step-by-step explanation:
Add v and 48°v
49v−46°
Applying cosines law we have:
5 ^ 2 = 7 ^ 2 + 6 ^ 2 - 2 * 7 * 6 * cos (F)
Clearing the angle we have:
cos (F) = (5 ^ 2 - 7 ^ 2 - 6 ^ 2) / (- 2 * 7 * 6)
cos (F) = 0.714285714
Then, clearing the angle:
F = acos (0.714285714)
F = 44.42 degrees
Rounding:
F = 44 degrees
Answer:
F = 44 degrees
option 1
b) five more than m
"m in addition to 5"= m+5