Question
In: Advanced Math
A population, obeying the logistic equation, begins with 1000 bacteria, then doubles itself in 10 hours....
A population, obeying the logistic equation, begins with 1000 bacteria, then doubles itself in 10 hours. The population is observed eventually to stabilize at 20,000 bacteria. Find the number of bacteria present after 25 hours and the time it takes the population to reach one-half of its carrying capacity.
Please show all work and steps clearly so I can follow your
logic and learn to solve similar ones myself. I will rate your
answer for you and provide positive feedback. Thank you
kindly!
Solutions
Colby Messinger answered 1 year agoRelated Solutions
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If a population of invasive fish can be described by the
logistic equation, what effect would increasing the fish’s food
availability have on K? Would K increase or decrease?
I have a logistic growth equation for a population where K = 820 carrying capacity, and...
I have a logistic growth equation for a population where K = 820
carrying capacity, and P(0) =550 initial population with a growth
rate r of 0.25. Using the equation P= K/(1+A.e^-rt) i can find out
the Value of A from initial conditions as A=(K-P(0))/P(0) and apply
the equation to calculate values of P at different time intervals
between 0 ans 12 years. If I have to use the same parameters as a
logistic decay starting with an initial population...
A population of lemmings doubles every 10 days. If there are initially 6 lemmings how many...
A population of lemmings doubles
every 10 days. If there are initially 6
lemmings how many will there be in 60
days?
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 population P(t) of mosquito larvae growing in a tree hole increases according to the logistic equation with...
The
population P(t) of
mosquito larvae growing in a tree hole increases according to the
logistic equation with growth
constant k =
0.5 days−1 and carrying
capacity A = 1000.
Find a formula for the larvae
population P(t),
assuming an initial population of P(0)
= 50 larvae.
P(t) =__________
After how many days will the larvae population reach 250? (Round
your answer to two decimal places.)
____________ days
Under ideal conditions a certain bacteria population is known to double every three hours. Suppose that...
Under ideal conditions a certain bacteria population is known to
double every three hours. Suppose that there are initially 100
bacteria.
(a) What is the population after 15 hours?
(b) What is the population after t hours?
(c) Find the population after 20 hours.
(d) Find the time at which the population reaches 50,000.
Using the logistic equation (S-shaped curve), calculate population growth in one year when K = 1,000,...
Using the logistic equation (S-shaped curve), calculate
population growth in one year when K = 1,000, N=100, r=0. Please
show me how to calculate it!
0
100
35
1.00
0
0
1
65
?
0.65
0
0
2
45
15
?
3
1.35
3
30
20
0.30
1
?
4
10
10
0.10
1
0.10
5
0
0
0.00
1
0
Recall that the general form of a logistic equation for a population is given by P(t) = c/1 + ae−bt , such that the initial ..
Recall that the general form of a logistic equation for a population is given by P(t) = c/1 + ae−bt , such that the initial population at time t = 0 is P(0) = P0 . Show algebraically that
The population (in millions) and the violent crime rate (per 1000) were recorded for 10 metropolitan...
The population (in millions) and the violent crime rate (per
1000) were recorded for 10 metropolitan areas. The data are shown
in the following table. Do these data provide evidence to reject
the null hypothesis that ρ = 0 in favor of ρ ≠ 0
at α = .05? (Give your answers correct to three decimal
places.)
Population
10.3
0.6
4
6.3
4.4
6.5
5.4
1.5
4.6
3.9
Crime Rate
11.1
7.1
7
7
7.4
8.7
8.7
8.1
8.8
9.5...
The population (in millions) and the violent crime rate (per 1000) were recorded for 10 metropolitan...
The population (in millions) and the violent crime rate (per
1000) were recorded for 10 metropolitan areas. The data are shown
in the following table. Do these data provide evidence to reject
the null hypothesis that ρ = 0 in favor of ρ ≠ 0
at α = .05? (Give your answers correct to three decimal
places.)
Population
9.9
2
1
7.2
0.6
6.6
0.6
7
6.5
0.6
Crime Rate
11.3
9
7.5
8.8
7.3
7.2
7.4
6.7
7.7
6.8...
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