The growth rate of a bacteria culture is proportional to the number of bacteria present. If a population whose size is initially 100 bacteria doubles every 2 hours, how many bacteria will there be after 3 hours?

Q: The rate of decay of radium is proportional to the amount present at any time. If 60 mg of radium…

A: Given that rate of decay of radium is proportional to the amount present at that time.

Q: The bacteria in a culture can be assumed to multiply at a rate that at any given moment is…

A:

Q: The number of insects in a colony is known to multiply at a rate proportional to the number of…

A:

Q: Initially 35 grams of radioactive substance was present. After 5 hours the mass had decreased by 11…

A: Given:- Initially 35 grams of radioactive substance was present. After 5 hours the mass had…

Q: Initially 50 grams of radioactive substance was present. After 6 hours the mass had decreased by 9%.…

A:

Q: A patient is adminstered a dose of 70mg of a drug. If the body naturally disposes of 6%. of the drug…

A: It is given that a patient is administered a dosage of 70 mg.The body naturally disposes 6%.

Q: After 2 hours, the population of a culture of bacteria has increased by 50%. If the rate of growth…

A:

Q: Initially 56 grams of radioactive substance was present. After 8 hours the mass had decreased by 6%.…

A: Let's find.

Q: The rate growth of a population is proportional to the present population. If it is 1000 initially…

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

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

A: Simple rate of decay of radium problem....

Q: Suppose that during the first year after its hatching, the weight of a duck increases at a rate…

A: Solution

Q: If the growth rate of a culture of bacteria is proportional to the number of bacteria present. After…

A:

Q: After 2250 years, 25% of a radioactive material remains. If the rate of decay of the material is…

A: Half-life = 0.693/Decay constant(lambda)

Q: A patient is adminstered a dose of 70mg of a drug. If the body naturally disposes of 5% of the drug…

A: Given,           A patient is administered a dose of 70mg of a drug and the body naturally disposes…

Q: The population of an island grows at a rate proportional to its population. If the growth rate is 5%…

A:

Q: In a certain culture of bacteria, the rate of increase is proportional to the number present. (a) If…

A: Model the given problem dpdt=kp if p is the present number of bacteria integrate it on both sides…

Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

A:

Q: In a liquid culture, the number of bacteria grows at a proportional rate depending on the number of…

A:

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

A:

Q: If one earthquake has a magnitude of 5 on the Richter scale and a second earthquake has a magnitude…

A: We have to determine the relationship between the intensities of the two earthquakes .

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

A:

Q: Suppose an unknown radioactive substance produces 22400 counts per minute on a Geiger counter at a…

A:

Q: The rate of change of the male population of a particular barangay is proportional to the male…

A:

Q: In a city with 500,000 population, the rate of the spread of a new flu epidemic is proportional to…

A:

Q: For a period of time, an island's population grows at a rate proportional to its population. If the…

A: The general growth formula is given by,

Q: Initially 42 grams of radioactive substance was present. After 5 hours the mass had decreased by 8%.…

A: Initial mass of radioactive substance is equals to 42 g after five  hours mass is decreased by 8%

Q: The rate of decomposition of radioactive radium is proportional to the amount present at any time.…

A: The rate of decomposition is proportional to y, we know that y=Cekt, where t is the time in years.…

Q: Bacteria grown in a certain culture increase at a rate proportional to the amount present. If there…

A: This question is based on application of diffrential equation.

Q: The substance decomposed at a rate proportional to the amount resent. What is the half-life of the…

A:

Q: In a certain bacteria culture the rate of increase in a number of bacteria is proportional to the…

A: Follow the steps below to solve a differential equation(in terms of x and y) by the variable…

Q: The population of Tagum City is increasing at the rate proportional to its current population. In…

A:

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

A: Solution

Q: A radium decomposes at a rate proportional to the amount present. In 100 years, 100 mg of radium…

A:

Q: Suppose an unknown radioactive substance produces 800 counts per minute on a Geiger counter at a…

A:

Q: The growth rate of a colony of rabbits is 40% per month. If the initial population of the colony 100…

A: The initial population of the rabbits is 100. It is given that the growth rate of rabbits is 40% per…

Q: The population of a city is 89​,000. If the population grows continuously by 3.2​% per​ year, in how…

A:

Q: If the growth rate of a culture of bacteria is proportional to the number of bacteria present and…

A:

Q: Initially 53 grams of radioactive substance was present. After 6 hours the mass had decreased by 6%.…

A:

Q: The growth rate of a certain strain of bacteria is unknown, but assumed to be constant. When an…

A: Given that the bacteria is growing at a constant rate. Initially there were 1500 bacteria and after…

Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

A:

Q: In a certain bacteria culture the rate of increase in a number of bacteria proportional to the…

A:

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

A:

Q: A radioactive substance has a half-life of 25 years. If 640 grams of the substance are present…

A:

Q: The population of an endangered species decreases at a rate of 7% per year. Approximately how long…

A: Answer

Q: In the 2000 U.S. Census, a small city had a population of 50,000. By 2010, the population had…

A:

Q: Initially 47 grams of radioactive substance was present. After 10 hours the mass had decreased by…

A:

Q: Suppose an unknown radioactive substance produces 6400 counts per minute on a Geiger counter at a…

A:

Q: A certain bacteria culture is observed to double its amount after two hours it was initially…

A: Let say population is P. So population at time 't' is given by P(t). Assume initial population is P0…

Q: Initially 25 grams of radioactive substance was present. After 10 hours the mass had decreased by…

A: