The number of germs in a certain culture increases at a rate proportional to the number present. If the number of germs doubles every year, how many years will the number of germs to triple?

Q: The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain…

A: Given,The half-life of Radium-226 is 1590 years. i.e., h=1590A sample contains 200 mg.…

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

A: Given : S=the amount of radium you start with=250gm t=the amount of time in years=950 years  h=the…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

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Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A: for the half-life, use the formula y=a0.5tp here initial amount is a=300 mg and the half-life is…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A: Given: The half - life of Radium - 226 is 1590 years.  A sample contains 300 mg.  To find: Amount of…

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: Suppose that the concentration of a bacteria sample is 60,000 bacteria per miliditer. f the…

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Q: The half-life of the plutonium isotope is 24,360 years. If 10 g of plutonium is released into the…

A: It is given that the half-life of the plutonium isotope is 24,360 years. Use formula, an exponential…

Q: A certain drug can be traced in the bloodstream for a short amount of time. Given that there is 500g…

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

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Q: The half-life of radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain…

A: The formula to find the amount of remaining radioactive material is given by the expression: An =…

Q: In a certain rectangle, the length of one side is always two inches more than four times the length…

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

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

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Q: The rate of growth of a certain cell culture is proportional to its size. In 10 hours a population…

A: The rate of growth of a certain cell culture is proportional to its size. In 10 hours a population…

Q: This year there were 3,000 new births in a county, but new births are expected to grow at a rate of…

A: This year there were 3,000 new births in a county, but new births are expected to grow at a rate of…

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 half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…

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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: If a piece of machinery depreciates continuously at an annual rate of 4%, how many years will it…

A: To find: The number of years it will take for the value of machinery to halve. Concept used: The…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain…

A: Given that - Half Life = t12 = 1590 years.Formula for half life - t12 = ln2kk = ln2t12where,k = rate…

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

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Q: The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain…

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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: The half-life of carbon-14 is about 5730 years. If 1 gram of carbon-14 is present in a sample, how…

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Q: The half-life of Strontium-90 is 28.79 years. If a sample contains 490 mg, how many mg will remain…

A: Given half life is 28.79 years Initial mass =490mg To calculate mass after 180 years.

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

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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: There are 6,000 cases of Coronavirus in Hong Kong. If Coronavirus cases increase at a rate of 3% per…

A: according to question number of Coronavirus cases after n days is=6000(1+3100)n =6000(1.03)n

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

A: In a certain culture of bacteria, the rate of increase is proportional to the number present. We…

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 a certain bacteria culture was 40,876 after 18 hours had elapsed. After another 20…

A: Given that, The population of a certain bacteria culture was 40,876 after 18 hours had elapsed.…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…

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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…

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

A:

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

A:

Q: The half-life of Radium-226 is 1590 years. If a sample contains 100 mg, how many mg will remain…

A: Given half life =1590 years t0=100, time =0t1=50, time =1590t2=25, time = 2(1590)t3=12.5, time =…

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

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Q: The half-life of Radium-226 is 1590 years. If a sample contains 500 mg, how many mg will remain…

A: To find the remaining amount after 4000 years.

Q: The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain…

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

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Q: A 50-mg sample of a radioactive substance decays to 34 mg after 30 days. How long will it take for…

A: The radioactive decay is modelled using the equation: N(t)=N0e-kt, where N0 is the initial amount…

Q: The half-life of radioactive radium (226Ra) is 1599 years. What percent of a present amount of…

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Q: The population of the Philippines doubled from 1967 to 1997. Assuming the rate of population…

A: Let 'x' be the population of Philippines in 1967. Therefore, in 1997 the population become '2x'   We…