1. The population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t. After 3 hours it is observed that 400 bacteria are present. After 10 hours 2000 bacteria are present. What was the initial number of bacteria.

Q: A certain radioactive material decays at a rate proportional to the amount present. At time ?=0,…

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Q: 1) Assume that a tumour at a rate of G(1) = 13 mg/day at time t grows %3! days. What is the total…

A: integration

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

A:

Q: 6. The radioactive isotope of lead, PB-209, decays at a rate proportional to the amount present at…

A: Let's find time to take 90% of the lead to decay.

Q: A culture of yeast grows at a rate proportional to its size. If the initial population is 4000 cells…

A: Let's find.

Q: A bacterial population B is known to have a growth rate proportional to B itself. If between 3pm and…

A: we know that population growth formula A(t)=P0ekt where A(t) : population at time t P0 : initial…

Q: A tank contains 300 gal of water and 100 gal of pollutants. Fresh water is pumped into the tank at…

A: Fresh water is pumped into the tank at the rate of 2 gal/min, and the well stirred mixtureleaves at…

Q: 3. The rate at which radioactive nuclei decay is proportional to the number of such nuclei that are…

A:

Q: 2. Suppose that at some time t the mass of the tumor, M(t), is between 0 and K. What is the sign of…

A: We need to find sign of rate of change of M.

Q: a)How quickly is the water leaving the barrel over the first two seconds? b)Will the water drain…

A: The solution is given below in the next step:

Q: The rate of decay of radium is proportional to the amount present at any time. The half-life of…

A:

Q: 1. The population of a community is known to increase at a rate proportional to the number of people…

A: Topic:- exponential function

Q: The rate at which radioactive nuclei decay is proportional to the number of nuclei that are present…

A:

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

A: Given that , The radioactive material is known to decay at a rate proportional to the amount…

Q: A certain radioactive substance decomposes at a rate proportional to the amount present. Suppose…

A: I have appended the formula used in the solution part.

Q: Radium decomposes at a rate proportional to the quantity present. If at the end of 20 years…

A: Solution

Q: at a rate proportional to the current population, and in the absence of other factors, the…

A: Consider at time t the population of mosquitoes is N in the area

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

A:

Q: 3. A mixture is transferred into a cylindrical container through a conical filter. If the filter is…

A: The volume of a cone: V=13πr2h Where, r  is the radius of the cone. h is the vertical height of the…

Q: The population of a certain municipality increases at the rate proportional to the present…

A: Here we solve the given population growth problem.

Q: 3. Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 100 mg of…

A: Given: initial mass of Radium  y0=96 mgWe know that General decay equation is y=y0e-kt…

Q: 4. In a culture of yeast, the amount of active ferment grows at a rate proportional to the amount…

A: Let's work on the problem straight from the statement "the amount doubles in 1 hour": let the…

Q: 1. The number of a certain type of bacteria increases continuously at a rate proportional to the…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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

A:

Q: A yeast grows at a rate proportional to its present size. If the original amount doubles in two…

A: Let v(t) be size of yeast at t time Therefore, ds/dt  ∝ s(t) ds/dt  = ks   [k is proportionality…

Q: A bacterial population B is known to have a rate of growth proportional to B itself. If between noon…

A: We will use the exponential growth equation of bacteria .

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

A:

Q: 4.) The half-life of strontium-90 is 28 years. Find the rate of decay. How long will it take a 50 mg…

A:

Q: 1. The rate at which radioactive nuclei decay is proportional to the number of such nuclei that are…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: 5. Consider the problem: A water bucket is being filled with water from a water faucet at a constant…

A:

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

A: Given:- It is known that the population of a certain country at time t is proportional to the people…

Q: A certain population of microorganisms grows at a rate proportional to the amount present under a…

A: Given that, A certain population of microorganisms grows at a rate proportional to the amount…

Q: 3. If a radioactive substance is quickly decaying at a rate of 13% per hour approximately how much…

A:

Q: 2. Suppose that a bacteria population is dying off at a rate of 30% per day. How much of the…

A:

Q: 1. A tank contains 80 gallons (gal) of pure water. A brine solution with 2 Ib/gal of salt enters at…

A: Given that, a tank contains 80 gallons (gal) of pure water. A brine solution with 2 lb/gal of salt…

Q: 5. A storage battery discharge at a rate which is proportional to the charge. If the charger is…

A: Given that: Rate of discharging is proportional to the charge.Charge is reduced to 50% of its…

Q: 1. For a certain radioactive element decays at a rate of 37.7% per day (tis measured in days). How…

A: We need to find time.

Q: 1. The rate of decay of radium is said to be proportional to the amount of radium present. If the…

A: Since you posted two questions here, i can answer only first one at a time. Please repost other…

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

A:

Q: 1. A certain radioactive material is known to decay at a rate proportional to the amount present.…

A:

Q: In a chemical reaction, a certain compound changes into another compound at a rate proportional to…

A: Let y be the unconverted amount of substance A at time t. Thus, the given information can be written…

Q: 1. A 50-cm high trough filled with liquid is 200 cm long and has a cross-section of an isosceles…

A: As per our guidelines we are supposed to answer only one question. I am solving the first one Kindly…

Q: In one experimental study, the growth of a certain insects is increasing at a rate proportional to…

A: Given: The growth of insects is increasing at a rate proportional to the number present. To Find:…

Q: A tank contains 50 gallons of a solution composed of 90% water and 10% alcohol. A second solution…

A:

Q: A certain population of bacteria grows at a rate that is proportional to the number present. It is…

A: Given that: Growth rate of bacteria ∝ Number of bacteria presentNumber doubles in 2 hr

Q: Radium decomposes at a rate proportional to the amount present. If half of the original amount…

A:

Q: A certain mold grows at a rate proportional to its present size. If the original amount doubles in…

A: Given that a certain mold grows at a rate proportional to its present size. And the original amount…

Q: A culture of bacteria grows at a rate that is proportional to the present number. It is found that…

A:

Q: Suppose there is a population of rabbits that (when left alone) experiences population growth at a…

A: Proportionality is between two variables when when they yield fixed ratio, with certain constant…

Q: 3. A bowl of soup has an initial temperature of 60 degrees Celsius. The temperature decreases by 6%…

A: Initial temperature= 60 degrees temperature decreases by rate 6% each minute