A species of rabbits has a growth rate of 0.625 a month. If a population of foxes inhabits the same forest and kills 10 rabbit per day, find the general solution describing the population of rabbits P(t)=- *Assume that one month = 30 days.

Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

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Q: The population of a certain community is known to increase at a rate proportional to the number of…

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Q: The differential equation modeling population growth while incorporating the carrying capacity is =…

A: Given: Growth rate is 0.1 per year. Environmental limitation is of 4600 deer. Currently there are…

Q: A tank initially holds 245 liters of brine solution containing 25 Ibm (pound mass) of salt. At t =…

A: Initial amount in tank = 245 liters, in which 25lb Fresh water is poured into @ 7g/m. Well stirred…

Q: f the population of a certain county was 100,000 in 1998 and 110,517 in 2008 and the for- mula y 5…

A: Given, the population of a certain county was 100,000 in 1998 and 110,517 in 2008             and…

Q: A population of mosquitoes increases at a daily rate of 1/2 times the current population. You can…

A: Given that A population of mosquitoes increases at a daily rate of 1/2 times the current population.…

Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: Given data:   The initial value of the mass is mi=50 milligrams. The mass lost after two hours is…

Q: When time is measured in​ days, the decay constant for a particular radioactive isotope is 0.16.…

A: The equation for radioactive decay is N(t)=N0(e-λt), where N(t) is the new amount of isotope , N0is…

Q: It is known that the population of a certain country at time t is proportional to the people living…

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Q: The biomass of a yeast culture in an experiment is initially 29 grams. After 30 minutes the mass is…

A: Given: The biomass of a yeast culture in an experiment is initially 29 grams. After 30 minutes the…

Q: A murder of crows in the wild is observed to double its population in one year. However, in…

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Q: The growth of bacteria in food products makes it necessary to time-date some products (such as milk)…

A: Given, ƒ(t) = 500e0.1t  t- in days f(t)- in millions.

Q: Suppose that a population has a rate of growth of 0.1 and a carrying ranacity of 2 million, Şet up…

A: The population dynamics can be modeled through a first-order differential equation. It contains the…

Q: The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per…

A: Given: The population of the world in 2015 was 9.75 billion people and was growing at a rate of…

Q: The half-life of polonium is 139 days, but your sample will not be useful to you after 95% of the…

A: It is given days half-life of polonium is 139 days. By the definition of half life, A139=12A0

Q: The population of a community is growing at 2% per year and its per capita consumption is growing at…

A: Given that: Population growing rate of a community is 2% per year Per capita consumption growth rate…

Q: A radioactive element decays at a rate of 5% annually. There are 40 grams of the substance present.…

A: Please see the below picture for detailed solution.

Q: If population y grows at a rate proportional to the current population, then y could be

A: This make separable differential equation

Q: The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per…

A: Given population of world in 2015  was 9.75 billionlet   for t=0 , we have year 2015

Q: If the number of fruit flies F increases at a rate that is proportional to the number of flies…

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Q: A radioactive element decays at a rate of 5% annually. There are 40 grams of the substance present.…

A: We are given that: The radioactive element decays at rate 5% annually and there are 40 g substance…

Q: nitially, there were 100 milligrams of a radioactive substance. After six hours, the mass decreased…

A: initially there are 100 milligrams of a radioactive substance. P=100 mg after 6 hour the mass…

Q: A colony of rats is transplanted into an island environment by stowing away on a cargoship. The…

A: Given that  A colony of rats is transplanted into an island environment by stowing away on a…

Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: Percentage : Percentage of the item is 100th part of the number.  It is denoted by x% or written as…

Q: A radioactive substance decays at a rate proportional to the amount present. If the initial mass of…

A:

Q: Assume that the rate of evaporation for water is proportional to the initial amount of water in a…

A: Here, given that rate of change of evaporation is proportional to the initial amount of water.…

Q: The number N() of people In a community who are exposed to a particular advertisement is governed by…

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Q: A certain population of bacteria doubled after 20 minutes. If it is known that it grows proportional…

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Q: 2. The population of the earth was 3 billion in 1970 and was increasing at a rate of 2% per year.…

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Q: A manufacturer estimates that she can sell a maximum of 30 thousand cell phones in a city. By…

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Q: A radioactive element decays at a rate of 5% annually. There are 40 grams of the substance present.…

A:

Q: The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The population of mosquitoes in a certain area increases at a rate proportional to the current…

A:

Q: projected that, t months from now, the population of a certain town will be growing at the rate of…

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Q: The half life of radium−226 is 1590 years. Let m(t) = m0 exp (kt) be the mass of radium−226 that…

A: Half time of the radium is 1590 years. m0=100mg Half time of the radium is 1590 years.…

Q: Suppose that P0 is invested in a savings account where interest is compounded continuously at 3.1%…

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Q: The number of field mice in a certain pasture is given by the function 200 – 10t, where time t is…

A: Given: The function for the number of mice in the field = 200 - 10t To find: The differential…

Q: It is estimated that t months from now, the population of a certain town will be changing at the…

A: This question is related to population growth, We will solve it using integration.

Q: It is estimated that t months from now, the population of a certain town will be changing at the…

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Q: The estimated Philippine population is 90 million in 2010 and the estimated growth rate was  2.4 %…

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Q: The total number of reported cases of an illness in a large city days after the start of an outbreak…

A: According to the given information the total number of reported cases of an illness in a large city…

Q: Find the particular solution to the differential equations,Evaluate the polynimial by finding the…

A: Given that: xdy+ydx+xy(3dx+dy)=0x=-3 and y=9

Q: The biomass of a yeast culture in an experiment is initially 29 grams. After 30 minutes the mass is…

A:

Q: A 100L-capacity tank initially holds 80L of fresh water. A brine solution is poured into the tank at…

A: A brine solution is poured into the tank at the rate of 4 L/hr, while the well-stirred mixture…

Q: It is estimated that t months from now, the population of a certain town will be changing at the…

A:

Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: Image is attached with detailed solution.

Q: b) Let at time t years, an industry consumes fuel at the rate of (2t + 9) million barrels per year.…

A: Given an industry consumes fuel at the rate of 2t+912 million barrels per year. If the total supply…

Q: The amount of decay of a certain radioactive element is given by -0.04t Yoe' where t equals time in…

A: The amount of decay of the radioactive element is given as follows. y=y0e-0.04t where t is the time…

Q: The population of a certain bacteria culture was 49,271 after 15 hours had elapsed. After another 22…

A: Given that the population of a certain bacteria culture was 49,271 after 15 hours had elapsed.After…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.