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The population of a community is known to increase at a rate proportional to the number...
Question Details The population of a town grows at a rate proportional to the population present...
Question Details The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 in by 10% in 10 years, what will be the population in 50 years? (Round your answer to the nearest person.) persons How fast is the population growing at t-50? (Round your answer to two decimal places.) persons/yr + Ask Yc Question Details
The functions y = 2x and y = ex are linearly independent. O False O True...
The functions y = 2x and y = ex are linearly independent. O False O True The population of a community is known to increase at a rate proportional to the number of people present at time t. If an initial population P, has doubled in 3 years, how long will it take to triple? (Round your answer to one decimal place.) How long will it take to quadruple? (Round your answer to one decimal place.)
Let P = f(t) = 850(1.057)* be the population of a community in year t. (a)...
Let P = f(t) = 850(1.057)* be the population of a community in year t. (a) Evaluate f(0) = (b) Evaluate f(10) = (retain at least 3 decimal places) (c) Which of these statements correctly explains the practical meaning of the value you found for f(10) in part (b)? (select all that apply if more than one is correct) A. What the population will be in 10 years. B. The growth rate per decade of the population. C. How long...
3. A certain population of short lived insects is known to reproduce at a rate proportional...
3. A certain population of short lived insects is known to reproduce at a rate proportional to their current population. They are also known to reproduce at a rate proportional to the difference between the carrying capacity of their environment (the maximum population their envirnment can support) and their current population. The carrying capacity is proportional to their food supply, which changes with the season. The amount of food given in thousands of pounds is sin(t) + 2, where t...
3. The population of bacteria in a culture decreases at a rate proportional to the number...
3. The population of bacteria in a culture decreases at a rate proportional to the number of bacteria present at any time t. The initial population is 500 and the population decreases 10% in 1 hour. Determine the half-life of the population of bacteria. How long does it take for the population to be 10? (8 marks ).
A certain microbe, growing at a rate proportional to its size, doubles its population every 10...
A certain microbe, growing at a rate proportional to its size, doubles its population every 10 hours. After 13 hours the total population has mass 560 grams. What was the initial mass? (Round your answer to 3 decimal places.) initial mass = grams Submit Answer Tries 0/3
The rate of growth dP/dt of a population of bacteria is proportional to the square root of t with a constant coefficient of 8
The rate of growth dP/dt of a population of bacteria is proportional to the square root of t with a constant coefficient of 8, where P is the population size and t is the time in days (0≤ t ≤ 10). The initial size of the population is 200. Approximate the population after 7 days. Round the answer to the nearest integer.
In 2,006, the population of Hungary was approximated by the function P(t) = 9.906(0.997) where Pis...
In 2,006, the population of Hungary was approximated by the function P(t) = 9.906(0.997) where Pis in millions and t is in years since 2,006. What does this model predict for the population of Hungary in the year 2,025? NOTE: Convert your answer to millions of people and round correct (e.g. 3,257,456.85 would round to 3,257,456) 9,356,357 QUESTION 2 How fast does the model predict Hungary's population will be changing from 2,008 to 2,0227 NOTE: Multiply your answer by 1,000,000...
(1 point) Let P = f( = 1150(1.059)' be the population of a community in year...
(1 point) Let P = f( = 1150(1.059)' be the population of a community in year 1. (a) Evaluate f(0) = (b) Evaluate f(10) = (retain at least 3 decimal places) (c) Which of these statements correctly explains the practical meaning of the value you found for f(10) in part (b)? (select all that apply if more the is correct) A. How many years it takes for the population to reach 10,000 people. B. The growth rate per decade of...
The growth rate of Escherichia coli, a common bacterium found in the human intestine
Growth of Bacteria The growth rate of Escherichia coli, a common bacterium found in the human intestine, is proportional to its size. Under ideal laboratory conditions, when this bacterium is grown in a nutrient broth medium, the number of cells in a culture doubles approximately every 20 min. (a) If the initial population is 20, determine the function Q(t) that expresses the growth of the number of cells of this bacterium as a function of time t (in minutes). (b) How long would...
Question Details The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 in by 10% in 10 years, what will be the population in 50 years? (Round your answer to the nearest person.) persons How fast is the population growing at t-50? (Round your answer to two decimal places.) persons/yr + Ask Yc Question Details
The functions y = 2x and y = ex are linearly independent. O False O True The population of a community is known to increase at a rate proportional to the number of people present at time t. If an initial population P, has doubled in 3 years, how long will it take to triple? (Round your answer to one decimal place.) How long will it take to quadruple? (Round your answer to one decimal place.)
Let P = f(t) = 850(1.057)* be the population of a community in year t. (a) Evaluate f(0) = (b) Evaluate f(10) = (retain at least 3 decimal places) (c) Which of these statements correctly explains the practical meaning of the value you found for f(10) in part (b)? (select all that apply if more than one is correct) A. What the population will be in 10 years. B. The growth rate per decade of the population. C. How long...
3. A certain population of short lived insects is known to reproduce at a rate proportional to their current population. They are also known to reproduce at a rate proportional to the difference between the carrying capacity of their environment (the maximum population their envirnment can support) and their current population. The carrying capacity is proportional to their food supply, which changes with the season. The amount of food given in thousands of pounds is sin(t) + 2, where t...
3. The population of bacteria in a culture decreases at a rate proportional to the number of bacteria present at any time t. The initial population is 500 and the population decreases 10% in 1 hour. Determine the half-life of the population of bacteria. How long does it take for the population to be 10? (8 marks ).
A certain microbe, growing at a rate proportional to its size, doubles its population every 10 hours. After 13 hours the total population has mass 560 grams. What was the initial mass? (Round your answer to 3 decimal places.) initial mass = grams Submit Answer Tries 0/3
In 2,006, the population of Hungary was approximated by the function P(t) = 9.906(0.997) where Pis in millions and t is in years since 2,006. What does this model predict for the population of Hungary in the year 2,025? NOTE: Convert your answer to millions of people and round correct (e.g. 3,257,456.85 would round to 3,257,456) 9,356,357 QUESTION 2 How fast does the model predict Hungary's population will be changing from 2,008 to 2,0227 NOTE: Multiply your answer by 1,000,000...
(1 point) Let P = f( = 1150(1.059)' be the population of a community in year 1. (a) Evaluate f(0) = (b) Evaluate f(10) = (retain at least 3 decimal places) (c) Which of these statements correctly explains the practical meaning of the value you found for f(10) in part (b)? (select all that apply if more the is correct) A. How many years it takes for the population to reach 10,000 people. B. The growth rate per decade of...
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