Answer:
The initial population was 2810
The bacterial population after 5 hours will be 92335548
Step-by-step explanation:
The bacterial population growth formula is:

where P is the population after time t,
is the starting population, i.e. when t = 0, r is the rate of growth in % and t is time in hours
Data: The doubling period of a bacterial population is 20 minutes (1/3 hour). Replacing this information in the formula we get:





Data: At time t = 100 minutes (5/3 hours), the bacterial population was 90000. Replacing this information in the formula we get:



Data: the initial population got above and t = 5 hours. Replacing this information in the formula we get:


Answer:
The correct answers are:
0.95g
g - 0.05g
(1 - 0.05)g
Step-by-step explanation:
Amount of last week's rain = g inches
this week = 5% decrease on last week's amount
5% of last week's amount = 5/100 × g = 0.05g
∴ This week's amount of rain = 0.05g decrease
∴ Amount of rain this week = (Amount of rain last week) - 0.05g
∴ Amount of rain this week = g - 0.05g
This can be simplified by factorizing the common term "g"
g - 0.05g = g(1 - 0.05) = 0.95g
Answer:
A = (5,3)
B = Begin at origin, move 3 units in a positive direction along the x-axis, move 4 units in a positive direction parallel to the y-axis
C = (4.5, 6)
D = Begin at origin, Move 0 units along the x-axis, Move 4.5 units in positive direction parallel to the y-axis
Step-by-step explanation:
Answer:
The simplified expression is 2x + 1
Step-by-step explanation:
We are given the following in the question:

We have to simplify this expression.
The logarithmic function is the inverse of the exponential function. Thus, we can write

Thus, the simplified expression is 2x + 1