12. A culture of bacteria in the lab doubles every 6 minutes. Assume the growth follows a continuous exponential
1 answer:
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Answer:
74.4°
Step-by-step explanation:
Given
- ∠G=90° => ΔEFG is a right triangle
- EF = 95 feet
- FG = 26 feet
Use sine law to find ∠F
As we know:
Sin(GEF)/ GF = Sin(EGF)/EF
<=> Sin(GEF) / 26 = Sin(90)/95
<=>Sin(GEF) / 26 = 1/95
<=> Sin(GEF) = 26/95
<=> ∠GEF ≈ 15.8°
=> ∠F = 180° - ∠G - ∠GEF
∠F = 180° - 90° - 15.8° = 74.4°
The life expectancies of residents of a country for which the average annual income is $80,000 for the three models are 12309.9352, 172.2436 and 4828.1393
The life expectancies of the models are given as:
--- model 1
--- model 2
--- model 3
Given that the average annual income is $80,000;
We simply substitute 80000 for income in the equations of the three models.
So, we have:
<u>Model 1</u>
<u>Model 2</u>
<u>Model 3</u>
Hence, the life expectancies are 12309.9352, 172.2436 and 4828.1393
Read more about linear models at:
Answer:
Step-by-step explanation:
Line segment divided into 5:3 ratio, so one segment is ⅝ of AB and one segment is ⅜ of AB.
Compare the coordinates of A and B.
change in x-coordinates = 10-2 = 8
change in y-coordinates = 2-(-6) = 8
⅝ of 8 = 5, so x-coordinate of C = (x-coordinate of A) + 5 = 7, and y-coordinate of C = (y-coordinate of A) + 5 = 1
