Question
In: Math
(1 point) The count in a bacteria culture was 600 after 10 minutes and 11613 after...
(1 point) The count in a bacteria culture was 600 after 10
minutes and 11613 after 20 minutes. Assume the growth can be
modelled exponentially by a function of the form
Q(t)=AertQ(t)=Aert, where tt is in minutes.
(a) Find the relative growth rate, with at least the first 5 digits
after the decimal point entered correctly:
r=r=
equation editor
Equation Editor
(b) What was the initial size of the culture? Round your answer to
the closest integer.
equation editor
Equation Editor
(c) Find the doubling period (in minutes).
equation editor
Equation Editor
(d) Find the population after 65 minutes. Use your answer to part
(b) as the initial amount.
equation editor
Equation Editor
(e) When will the population reach 13000? After
equation editor
Equation Editor
Solutions
milcah answered 2 years agoRelated Solutions
point) The count in a bacteria culture was 500 after 10 minutes and 32518 after 30...
point) The count in a bacteria culture was 500 after 10 minutes
and 32518 after 30 minutes. Assume the growth can be modelled
exponentially by a function of the form Q(t)=A e rt Q(t)=Aert ,
where t t is in minutes. (a) Find the relative growth rate, with at
least the first 5 digits after the decimal point entered correctly:
r= r= equation editor Equation Editor (b) What was the initial size
of the culture? Round your answer to the...
(1 point) The count in a bacteria culture was 200 after 15 minutes and 557 after...
(1 point) The count in a bacteria culture was 200 after 15
minutes and 557 after 25 minutes. Assume the growth can be modelled
exponentially by a function of the form Q(t)=A e rt Q(t)=Aert ,
where t t is in minutes. (a) Find the relative growth rate, with at
least the first 5 digits after the decimal point entered correctly:
r= r= equation editor Equation Editor (b) What was the initial size
of the culture? Round your answer to...
The count in a bacteria culture was 800 after 20 minutes and 1100 after 30 minutes....
The count in a bacteria culture was 800 after 20 minutes and
1100 after 30 minutes. Assuming the count grows exponentially,
What was the initial size of the culture?
Find the doubling period.
Find the population after 70 minutes.
When will the population reach 10000. You may enter the exact
value or round to 2 decimal places.
The initial size of a culture of bacteria is 1500. After one hour the bacteria count...
The initial size of a culture of bacteria is 1500. After one
hour the bacteria count is 6000.
A.) Find a function n(t) = n0ert
that models the population after t hours (round your r value to
five decimal places.) n(t)=
B.) Find the population after 1.5 hours. (round answer to
nearest whole number.) n(1.5)=
C.) After how many hours will the number of bacteria reach
10,000? (round your answer to one decimal place.)
(1 point) A bacteria culture starts with 560 bacteria and grows at a rate proportional to...
(1 point) A bacteria culture starts with 560 bacteria and grows
at a rate proportional to its size. After 3 hours there will be
1680 bacteria.
(a) Express the population after t hours as a function of t
population: (function of t)
(b) What will be the population after 2 hours?
(c) How long will it take for the population to reach 1250
?
The population of a culture of bacteria is calculated and recorded after each hour, for a...
The population of a culture of bacteria is calculated and
recorded after each hour, for a six-hour period.
0
98
1
206
2
405
3
783
4
1550
5
2520
6
5630
Sketch a graph to illustrate these data.
Compare linear, quadratic, and exponential regression models.
List the equations and correlation coefficients for each type of
function. Provide a graph and include the regression lines.
Use each model to determine the initial number of bacteria at
the beginning of the...
USE PYTHON TO SOLVE THIS PROBLEM A bacteria culture grows exponentially. After 2 hours, the bacteria...
USE PYTHON TO SOLVE THIS PROBLEM
A bacteria culture grows exponentially. After 2 hours, the
bacteria count was 400 cells and after 6 hours, the bacteria count
was 20,000 cells.
a) Solve a system of equations to find (approximately) k and y0
(HINT: If will help to assume K is real in the symbols command)
b) Use this to determine when the bacteria count reaches
2,000,000 (exact and approximate).
c) Suppose 400 was the “initial” amount and 20,000 the count...
USE PYTHON TO SOLVE THIS PROBLEM A bacteria culture grows exponentially. After 2 hours, the bacteria...
USE PYTHON TO SOLVE THIS PROBLEM
A bacteria culture grows exponentially. After 2 hours, the
bacteria count was 400 cells and after 6 hours, the bacteria count
was 10,000 cells.
a) Solve a system of equations to find (approximately) k and y0
(HINT: If will help to assume K is real in the symbols command)
b) Use this to determine when the bacteria count reaches
1,000,000 (exact and approximate).
c) Suppose 400 was the “initial” amount and 10,000 the count...
1. There are 300 bacteria in a culture, and the number of bacteria quadruples every 5...
1. There are 300 bacteria in a culture, and the number of
bacteria quadruples every 5 hours.
A. Write a function, N, that gives the number of bacteria t
hours from now.
B. How many will there be in 20 hours?
C. In how many hours will there be 2,000 bacteria?
2. The population of Johnsonville was 900 in 1880 and is known
to double every 20 years.
a. Write a function, P, that gives the population y years after...
The population of bacteria (in millions) in a certain culture x hours after an experimental nutrient...
The population of bacteria (in millions) in a certain culture x
hours after an experimental
nutrient is introduced into the culture is
P(x)=25x/6+x^2.
Use the differential to approximate the changes in population
for the following changes in x.a.
2
to
2.5
b.
3
to 3.25
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