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7. (7 pts) The number N() of bacteria in a culture is growing exponentially. When t=0...
any ideas? му art Name: Write your answer or answers as pairs (x,y) 6. 16 pts)...
any ideas?
му art Name: Write your answer or answers as pairs (x,y) 6. 16 pts) Solve the system of equations: xy-y = -4 xy-2y=-29 #6: 7. (pt) The number N() of bacteria in a culture is growing exponentially. When 1 =0, N(1) 100, and when t=5, NC) -300 where is the time in hours. a. Find the growth rate k. (Round to four decimal places.) #7a: b. Write the function that represents the number of bacteria after t hours....
A colony of bacteria is growing exponentially according to the function below, where T is in hours
A colony of bacteria is growing exponentially according to the function below, where T is in hours. How many bacteria are there after 7 hours? B(T)= 4*e^(0.8)T
Suppose the following graph represents the number of bacteria in a culture t hours after the...
Suppose the following graph represents the number of bacteria in a culture t hours after the start of an experiment. a. At approximately what time is the instantaneous growth rate the greatest, for Osts 36? Estimate the growth rate at this time b. At approximately what time in the interval Osts 36 is the instantaneous growth rate the least? Estimate the instantaneous growth rate at this time. c. What is the average growth rate over the interval 0 st 36?...
The number of bacteria in a culture is given by the function n(t) 900e.5t where t...
The number of bacteria in a culture is given by the function n(t) 900e.5t where t is measured in hours. (a) What is the relative rate of growth of this bacterium population? (b) What is the initial population of the culture? (c) How many bacteria will the culture contain at time t-5 hours? License Points possible: 1 Unlimited attempts
The number of bacteria in a culture is given by the function n(t) = 960e. where...
The number of bacteria in a culture is given by the function n(t) = 960e. where t is measured in hours. (a) What is the exponential rate of growth of this bacterium population? Your answer is (b) What is the initial population of the culture (at t=0)? Your answer is (c) How many bacteria will the culture contain at time t-4? Your answer is
This exercise uses the population growth model. A culture starts with 8100 bacteria. After 1 hour...
This exercise uses the population growth model. A culture starts with 8100 bacteria. After 1 hour the count is 10,000. (a) Find a function that models the number of bacteria n(t) after t hours. (Round your r value to three decimal places.) n(t) = (b) Find the number of bacteria after 2 hours. (Round your answer to the nearest hundred.) bacteria (C) After how many hours will the number of bacteria double? (Round your answer to one decimal place.) hr
A certain type of bacteria is growing at an exponential rate that can be modeled by...
A
certain type of bacteria is growing at an exponential rate that can
be modeled by the equation y = ae^(kt), where t represents the
number of hours. There are 100 bacteria initially, and 500 bacteria
5 hours later.
or 201 growing s hours lter the rate of growth, k, of the btria Loe or erms of logarithms that can model the growth of the hacteria at time, Ltave your answer in terms of logarithms #10. Round your answer to...
Suppose the following graph represents the number of bacteria in a culture t hours after the...
Suppose the following graph represents the number of bacteria in a culture t hours after the start of an experiment. a. At approximately what time is the instantaneous growth rate the greatest, for (StS 36? Estimate the growth rate at this time. b. At approximately what time in the interval Osts 36 is the instantaneous growth rate the least? Estimate the instantaneous growth rate at this time. c. What is the average growth rate over the interval Osts 36? a....
The growth rate at t = 0 hours is bacteria per hour. When a bactericide is...
The growth rate at t = 0 hours is bacteria per hour. When a bactericide is added to a nutrient broth in which bacteria are growing, the bacterium population continues to grow for a while, but then stops growing and begins to decline. The size of the population at time t (hours) is b = 65 +63t - 6242. Find the growth rates at t = 0 hours, t = 3 hours, and t = 6 hours. The growth rate...
This exercise uses the population growth model. The count in a culture of bacteria was 400...
This exercise uses the population growth model. The count in a culture of bacteria was 400 after 2 hours and 25,600 after 6 hours. (a) What is the relative rate of growth of the bacteria population? Express your answer as a percentage. (Round your answer to the nearest whole number.) 104 % (b) What was the initial size of the culture? (Round your answer to the nearest whole number.) 200 x bacteria (c) Find a function that models the number...
any ideas?
му art Name: Write your answer or answers as pairs (x,y) 6. 16 pts) Solve the system of equations: xy-y = -4 xy-2y=-29 #6: 7. (pt) The number N() of bacteria in a culture is growing exponentially. When 1 =0, N(1) 100, and when t=5, NC) -300 where is the time in hours. a. Find the growth rate k. (Round to four decimal places.) #7a: b. Write the function that represents the number of bacteria after t hours....
Suppose the following graph represents the number of bacteria in a culture t hours after the start of an experiment. a. At approximately what time is the instantaneous growth rate the greatest, for Osts 36? Estimate the growth rate at this time b. At approximately what time in the interval Osts 36 is the instantaneous growth rate the least? Estimate the instantaneous growth rate at this time. c. What is the average growth rate over the interval 0 st 36?...
The number of bacteria in a culture is given by the function n(t) 900e.5t where t is measured in hours. (a) What is the relative rate of growth of this bacterium population? (b) What is the initial population of the culture? (c) How many bacteria will the culture contain at time t-5 hours? License Points possible: 1 Unlimited attempts
The number of bacteria in a culture is given by the function n(t) = 960e. where t is measured in hours. (a) What is the exponential rate of growth of this bacterium population? Your answer is (b) What is the initial population of the culture (at t=0)? Your answer is (c) How many bacteria will the culture contain at time t-4? Your answer is
This exercise uses the population growth model. A culture starts with 8100 bacteria. After 1 hour the count is 10,000. (a) Find a function that models the number of bacteria n(t) after t hours. (Round your r value to three decimal places.) n(t) = (b) Find the number of bacteria after 2 hours. (Round your answer to the nearest hundred.) bacteria (C) After how many hours will the number of bacteria double? (Round your answer to one decimal place.) hr
A
certain type of bacteria is growing at an exponential rate that can
be modeled by the equation y = ae^(kt), where t represents the
number of hours. There are 100 bacteria initially, and 500 bacteria
5 hours later.
or 201 growing s hours lter the rate of growth, k, of the btria Loe or erms of logarithms that can model the growth of the hacteria at time, Ltave your answer in terms of logarithms #10. Round your answer to...
Suppose the following graph represents the number of bacteria in a culture t hours after the start of an experiment. a. At approximately what time is the instantaneous growth rate the greatest, for (StS 36? Estimate the growth rate at this time. b. At approximately what time in the interval Osts 36 is the instantaneous growth rate the least? Estimate the instantaneous growth rate at this time. c. What is the average growth rate over the interval Osts 36? a....
The growth rate at t = 0 hours is bacteria per hour. When a bactericide is added to a nutrient broth in which bacteria are growing, the bacterium population continues to grow for a while, but then stops growing and begins to decline. The size of the population at time t (hours) is b = 65 +63t - 6242. Find the growth rates at t = 0 hours, t = 3 hours, and t = 6 hours. The growth rate...
This exercise uses the population growth model. The count in a culture of bacteria was 400 after 2 hours and 25,600 after 6 hours. (a) What is the relative rate of growth of the bacteria population? Express your answer as a percentage. (Round your answer to the nearest whole number.) 104 % (b) What was the initial size of the culture? (Round your answer to the nearest whole number.) 200 x bacteria (c) Find a function that models the number...
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