Answer:
7.9 is less than 8.0
Step-by-step explanation:
Source My head
Answer:
39°
sum of triangle's interior angles: 180°
180°-90°-51°=39°
Answer:
A
Step-by-step explanation:
The function is ![\frac{1620}{1+1.15e^{-0.042t}}](https://tex.z-dn.net/?f=%5Cfrac%7B1620%7D%7B1%2B1.15e%5E%7B-0.042t%7D%7D)
To find the maximum population, we need to set t towards infinity to get our answer.
So, we replace time with maximum (
). Let's check:
![\frac{1620}{1+1.15e^{-0.042t}}\\=\frac{1620}{1+\frac{1.15}{e^{0.042t}}}\\=\frac{1620}{1+\frac{1.15}{e^{0.042(\infty)}}}\\=\frac{1620}{1+\frac{1.15}{\infty}}\\=\frac{1620}{1+0}\\=\frac{1620}{1}\\=1620](https://tex.z-dn.net/?f=%5Cfrac%7B1620%7D%7B1%2B1.15e%5E%7B-0.042t%7D%7D%5C%5C%3D%5Cfrac%7B1620%7D%7B1%2B%5Cfrac%7B1.15%7D%7Be%5E%7B0.042t%7D%7D%7D%5C%5C%3D%5Cfrac%7B1620%7D%7B1%2B%5Cfrac%7B1.15%7D%7Be%5E%7B0.042%28%5Cinfty%29%7D%7D%7D%5C%5C%3D%5Cfrac%7B1620%7D%7B1%2B%5Cfrac%7B1.15%7D%7B%5Cinfty%7D%7D%5C%5C%3D%5Cfrac%7B1620%7D%7B1%2B0%7D%5C%5C%3D%5Cfrac%7B1620%7D%7B1%7D%5C%5C%3D1620)
The population of birds approaches 1620 as t goes towards infinity. So we can say the max population of the species is 1620.
Correct answer is A
Hey there!
In order to answer this question, it's easiest to start with one of the money amounts and work your way to the other ones. Keep in mind that, no matter what, the amount of collective money won't exceed 1.50, meaning you can't have two 1 dollar bills, etc. When I wrote it out, I did it in this order:
1 = 1 dollar
0.5 = Half dollar
0.25 = Quarter
1 + 0.5 = 1.50
1 + 0.25 + 0.25 = 1.50
0.5 + 0.5 + 0.5 = 1.50
0.5 + 0.5 + 0.25 + 0.25 = 1.50
0.5 + (0.25*4) = 1.50
0.25*6 = 1.50
Since no other combinations add up to 1.50, your answer is 6.
Hope this helped you out! :-)