Answer:
The hourly growth rate is of 4.43%.
The function showing the number of bacteria after t hours is 
Step-by-step explanation:
Equation of population growth:
The equation for the population after t hours is given by:

In which P(0) is the initial population and r is the growth rate, as a decimal.
The conditions are such that the number of bacteria is able to double every 16 hours.
This means that
. We use this to find r.



![\sqrt[16]{(1+r)^{16}} = \sqrt[16]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B16%5D%7B%281%2Br%29%5E%7B16%7D%7D%20%3D%20%5Csqrt%5B16%5D%7B2%7D)




The hourly growth rate is of 4.43%.
80 bacteria are placed in a petri dish.
This means that
.



The function showing the number of bacteria after t hours is 
Answer:
-44
Step-by-step explanation:
i think not sure
What is the measure of arc ADB?
The measure of the arc for this case is given by the following angle:
theta = 360-90
theta = 270 degrees
What is the length of arc ADB?
The arc length is given by:
s = R * theta
Substituting values:
s = 15 * (270 * (pi / 180))
s = 70.69 m
What is the area of the shaded region?
The area of the shaded region is:
A = (s' / s) * (pi) * (r ^ 2)
Substituting values:
A = (270/360) * (3.14) * (15 ^ 2)
A = 529,875 m ^ 2
Answer:
- 8
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

here [ a, b ] = [ 3, 5 ]
From the table
f(b) = f(5) = - 26
f(a) = f(3) = - 10
Hence
average rate of change =
=
= - 8
860 *11/100=9460/100=94.6
94.6 is earned