Question
In: Math
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.
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...
(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...
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.)
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...
Bolus 30 U units Pitocin of over 20 minutes STAT then titrate to 125 mL/hr after...
Bolus 30 U units Pitocin of over 20 minutes STAT then titrate to
125 mL/hr after the bolus. What is the infusion rate
Please show work.
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
The bacteria E. Coli doubles in a little over 20 minutes in good lab conditions. (For...
The bacteria E. Coli doubles in a little over 20 minutes in good
lab conditions. (For purposes of this exercise, we will assume it
takes exactly 20 minutes.)
a) Write a difference equation that models the growth of an E.
Coli colony in a large nutrient dish, with an initial population of
y0=10000 bacteria, and time measured in increments of 20
minutes. What is the solution to this equation and initial
condition?
b) How would the equation change if the...
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