1. The population of Kuhala Island doubles every 3 decades. 2. The amount of radioactive isotope of carbon has a half-life of 550C years. 3. A colony of bacteria grows by 20% every half hour.Seenalnioc

Q: Determine whether the following statement is true or false, and explain why. The half-life of a…

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Q: The radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the…

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Q: A radioactive material decays at a rate proportional to its amount. If the material has a life of 30…

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

Q: 7. Traces of burned wood along with ancient stone tools in an archeological dig in Chile were found…

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Q: If there were originally 500 grams of carbon-14 originally, how much carbon-14 would remain after 10…

A: In each half life , amount becomes half of the previous one. It means that, after each half life the…

Q: Suppose that in​ 2008, 560,500 citizens died of a certain disease. Assuming the population of the…

A: Given: 560,500 people died out of 280,000,000 people. So the percentage of people who died is:…

Q: 3. A small metal bar, whose initial temperature was 20° C, is dropped into a large container of…

A: Let's find.

Q: 3. The population of the Philippines doubled from 1967 to 1997. Assuming the rate of population…

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Q: An element with mass 140 grams decays by 21.6% per minute. How much of the element is remaining…

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Q: A grey squirrel population was introduced in a certain county of Great Britain 35 years ago.…

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Q: Suppose that in​ 2008, 821,550 citizens died of a certain disease. Assuming the population of the…

A: Given data is: 821,550 citizens died  Total population of the country=360 million To find what is…

Q: en artifact found in a crypt contains 93 percent of the carbon-14 that is present in living flax. To…

A: Given that a linen artifact found in a crypt contains 93 percent of the carbon-14 that is present in…

Q: The oldest known frozen human mummy, discovered in the Schnalstal glacier of the Italian Alps in…

A: The half-life of carbon-14 is 5730 years. Let at the initial point there was P amount of carbon.…

Q: carbon-14? The decay​ rate, k, of​ carbon-14 is

A: The general exponential function of decaying is given as: A=A0e-kt where A is present amount Aο is…

Q: 6. A sample of tritum-3 decayed to 94.5% of its original amount after a year. (a) What is the…

A: A sample of tritum-3 decayed to 94.5% of its original amount after a year. Note:   Multiple…

Q: 9. If 75 mg of a radioactive substance decays to 15 mg in 20 years, find the Half-Life, in minutes,…

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Q: An element with mass 970 grams decays by 27.7% per minute. How much of the element is remaining…

A: Given that, The mass of the element is 970 grams, which decays by 27.7% per minute. To find: How…

Q: The radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the…

A: The radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the…

Q: 1. If you have 100 grams of a radioactive isotope with a half-life of 10 years: a. How much of the…

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Q: A grey squirrel population was introduced in a certain county of Great Britain 35 years ago.…

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Q: 1. If 25% of a radioactive substance disappeared in 10 years, how long did it take for 60% of the…

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Q: 5. A certain radioactive substance has a half-life of original amount of the substance decays. If…

A: The exponential decay formula is: N(t) = Aekt where: A = Initial amount k =  Rate of decay t = Time…

Q: Potassium-40, with a half-life of 1.25 billion years, has been used by geochronologists trying to…

A: Let 't' be the number of yearsLet 'x(t)' be the…

Q: 2. A dosage of Q units of a certain drug is administered to an individual every four hours. Assume…

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Q: The half-life of carbon-14 is 5,730 years. If there are 600 grams of carbon-14 in a tree when it is…

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Q: If 10% of a radioactive substance decays after 33 years. How much will remain after 200 years?

A: Let in starting the radioactive substance = No And after t time it becomes N

Q: Use r=-0.00012097 A papyrus scroll from ancient Egypt was written 4,800 years ago. To the nearest…

A: Given r=-0.00012097 (a) Given that the age of papyrus scroll is t=4800 years. Thus, the equation is…

Q: If 525 mg of a radioactive element decays to 450 mg in 48 hours, what is its half-life?

A: we are using model for radioactive decayN=N0e-λtwhereN0=initial amountN=The amount test of a…

Q: 7. A radioactive material decays at a rate proportional to its amount. If the material has a…

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Q: Hello! I need help with this particular question on my study guide. There is an attachment below.…

A: Here we use half-life to calculate the exponential decay:

Q: If the price of gold decrease at a monthly rate of 2.1%, by what percentage does it decrease in a…

A: If something is decreasing at 2.1% per month,then after 1 month we have 100%-2.1%=97.9%so after each…

Q: Suppose the amount of a certain radioactive substance in a sample decays from 3.60 mg to 800. pg…

A: We have to find the half life of substance.

Q: The radioactive element carbon-14 has a half life of 5750 years. A scientist determined that the…

A: Given:The radioactive element carbon-14 has a half-life of 5750 years and the bones from a mastodon…

Q: The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be…

A: To calculate the amount of mass of after 6 half-lives if the initial amounts of radioactive isotopes…

Q: 2. Suppose a nuclear accident releases 50 kilograms of the element Cesium 137. If the half life of…

A: Given- Intial amount of Cesium-137 is 50 kg and half life is 30 years. To find- The amount after 30…

Q: 16. How long should Php45,000 be invested to have P65,000 at a rate of 8.4% compounded bimonthly?…

A: When the interest is compounded, then the formula used is A=P1+rnnt , where, A is the final amount,…

Q: If18 g of a radioactive substance are present initially and 4yr later only 9g​remain, how much of…

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Q: An element with mass 820 grams decays by 26.8% per minute. How much of the element is remaining…

A: We have to use exponential decay function to solve the problem

Q: An

A: Given,element with mass = 510 gramsdecay rate = 26.3% per minuteour aim is to find how much of the…

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: If 10% of a radioactive substance decays after 33 years how much will remain after 200 years?

A:

Q: Strontium-90 is a radioactive isotope with a half-life of 29 years. Strontium-90 is a major…

A: The half-life , T12 , is calculated using the formula, T12=ln 2λ , where, λ is the decay constant.…

Q: 1. The half-life of a radioactive material is 41.44 minutes. Starting with 840.7 grams of the…

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Q: 5. A small metal bar, whose initial temperature is 20°C, is dropped into a container of boiling…

A: According to newton law of cooling: dTdt=-k(T−Ta​)  Where T is the Temperature of the body and Ta is…

Q: A sample of a newly discovered element, West Virginium, has been discovered. A 648 mg sample has…

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Q: 12. Given Bismuth-214 has a half-life of 20 minutes. What percent of the original amount is left…

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Q: 16,830 people work in a particular occupation at the present time. The number of people working in…

A: Given:- in present time No. Of worker are= 16830 No. Of people decreasing per year are= 0.2%

Q: A sample of an isotope decayed to 77.3% of its original amount after one year. What is the half-life…

A: Radioactivity phenomena follow first kinetics: so,    Rate=kA1      k=constant by solving this…

Q: 4. If caffeine has a half-life of 2 hrs., how many of 140 mg of caffeine remain in Mr. Moreno's…

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