Complementary angles add up to 90°. The complement of a 27° angle is 90°-27°= 63°.
Supplementary angles add up to 180°. The supplement of a 27° angle is 180°-27°=153°
Answer:
IT would give you a decimal whis is 966.66666666667
Step-by-step explanation:
15*67+1-56+100/6
Answer:
Sorry have no idea what this means...just dumb.
Step-by-step explanation:
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
Greetings.
The answer is
a = determines the shape of parabola (upward, downward, narrow or wide)
h = determines the transformation of the graph for x-axis (For example, (x+1)², the graph would move from x=0 to x=-1
k = determines the transformation of the graph for y-axis. (For example, x²+1, the graph would move from y = 0 to y = 1.