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 
Step-by-step explanation:
x+ 2(7-x) = 11
x+14-2x = 11
-x = -3
x = 3
3+ y = 7
y = 4
x + 2(22-x) = 48
x + 44 -2x = 48
-x = 4
x = -4
-4 + y = 22
y = 26
y = 45-x
x + 2(45-x) = 36
x + 90 -2x = 36
-x = 54
x = -54
-54 + y = 45
y = 99
Answer:
x = 36 and y = 28
Step-by-step explanation:
Let she sells x shakes and y doublescoop cones
One day they sold 8 more shakes than scoops, and made $156.
ATQ,
2x+3y = 156 ..(1)
Also,
x = y+8 ..(2)
Put the value of x from (1) to equation (2)
2(y+8)+3y = 156
2y+16+3y = 156
5y = 156 - 16
5y = 140
y = 28
Put the value of y in equation (2)
x = 28+8
x = 36
<em>Hence, they will sell 36 shakes and 28 doublescoop cones.</em>
Answer:
20 pounds divided by 4
Step-by-step explanation:
Answer:
225 feet.
Step-by-step explanation:
15 X 15