15) Carbon-14 has a half-life of approximately 5,730 years. Imagine a wooden artifact with an original Carbon-14 mass of 100 grams. How many years will it take for there to be 12.5 grams of Carbon-14 remaining? A 5730 years B 11460 years C 17190 years D 22920 years E 28650 years

Q: Suppose a scientist has a fossil sample with 180 g (grams) of carbon-14. If its original amount of…

A:

Q: Cobalt-60 has a half-life of 5.24 years. (a) Find the mass that remains from a 100-mg sample after…

A: t=Duration of half life=5.24 years k=Constant C=Mass of Cobalt=100 mg…

Q: If the initial mass of an Potassium was 149 grams will remain after 20 hours is 37.25 grams, then…

A:

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, then the decay constant λ by…

Q: 2. A certain radioactive substance decays half of itself every 5 days. Initially, there are 50…

A:

Q: 6. A chemist has a 20-mg sample of polonium-218. He needs exactly 81.5% of it for an experiment.…

A:

Q: If the initial mass of an Potassium was 159 grams will remain after 16 hours is 39.75 grams, then…

A:

Q: O How long does it take for 90% of a given quantity of the radioactive element cobalt-60 to decay,…

A: The amount of radioactive element at time t is given by                   Nt=Noe-λt      where λ is…

Q: The half life of carbon-14 is 5730 years. How long will a certain amount of carbon - 14 decay by 90%…

A:

Q: 30% of a radioactive substance has decayed after 10years, what is its half-life? 15.9 years 16.7…

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Q: If a piece of charcoal made from wood of a tree shows only 62% of the carbon 14 expected living in…

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Q: 10)Suppose the amount of Carbon-14 remaining in a sample of 100 milligrams after x years can be…

A: Given the amount of Carbon-14 remaining in a sample of 100 milligrams after x years is given by:…

Q: A sample of a newly discovered element, West Virginium, has a half-life of 170 years. How long will…

A: We have to find the time required.

Q: 1. The population of Kuhala Island doubles every 3 decades. 2. The amount of radioactive isotope of…

A: Whether each given is an exponential function, exponential equation, or exponential inequality or…

Q: The half-life of Uranium-238 is approximately 4.5(10°) years. How much of a 10 kilogram block of U–…

A:

Q: The half life of a decaying substance is the amount of time it takes for the substance to reduced to…

A:

Q: 4. Te- 105 has a half life of 203.9 hours. If there are 1054 g of Te - 105 initially, how long will…

A:

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

A:

Q: The half-life of carbon-14, 14C, is approximately 5,730 years. A bone fragment is estimated to have…

A: Given information: Initial amount=Q0=7 mgHalf life=t12=5730 years

Q: 4. A certain type of storage battery lasts on the average 3.0 y of 0.5 year. Assuming that the…

A: Given data,Mean μ=3.0sd σ=0.5P(X<2.3)=?

Q: If the initial mass of an Potassium was 183 grams will remain after 22 hours is 45.75 grams, then…

A:

Q: The half life of a certain isotope is 8.5 hours. If we have a sample of 10 ounces of that isotope,…

A: Consider the following information: Half life periodt12=8.5 hours Decay constantλ=ln2t12=ln28.5…

Q: A sample of a newly discovered element, West Virginium, has a half-life of 295 years. How long will…

A: We have to find out t

Q: How long does it take for 90% of a given quantity of the radioactive element cobalt-60 to decay,…

A: Radioactive element decay rate.

Q: Suppose a sample of a certain substance decayed to 75.6% of its original amount after 300 days. (a)…

A:

Q: suppose a sample of a certain substance decayed to 77.2% of its original amount after 300 days. (two…

A: Let t        = time in daysN(t)  =remaining quantity of certain substance at any time 't'No…

Q: 4. The half-life of carbon-14 is approximately 6000 years. How much of 800 g of this substance will…

A:

Q: If 12g of a radioactive substance are present initially and 9yr later only 6g​ remain, how much of…

A: As half the amount of the radioactive substance left after 9 years, thus it is clear that half-life…

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: 9. The half-life of a radioactive element can be modelled by M = Mo (-)" where Mo is the initial…

A: If y=f(x), then the independent variable x is called the input of the function, and the dependent…

Q: Element X decays radioactively with a half life of 9 minutes. If there are 170 grams of Element X,…

A: Given- Element X decays radioactively with a half life of 9 minutes and there are 170 grams of…

Q: How many half lives must have passed for an isotope with a half life of 10 years to decay from 1600…

A:

Q: How long will it take for 18.0 grams of Ra-226 to decay to leave a total of 2.25 grams? (Ra-226 has…

A: The formula that gives the amount of the substance remaining after time t is given as follows.…

Q: Assume a substance has a half-life of 11 years and the initial amount is 133 grams.How long will it…

A: If A0 is initial amount present and T is half -life of the substance. Then the amount of substance…

Q: Only 25% of the carbon-14 in a wooden bowl remains. How old is the bowl? (Carbon-14 has a half-life…

A:

Q: half life of a decaying substance is the amount of time it takes for the substance to reduced to…

A: Given query is to find the the time taken to reduced the substance to 10 mg.

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

A:

Q: 6-A wooden artifact from an archeological dig contains 60% of the Carbon-14 that is present in…

A: Given:  60% of carbon-14 that present in living trees.

Q: Suppose a radioactive substance has a half-life of 1000 years. What fraction will be leftafter 1000…

A: Given that the half life is 1000 years. This means 1/2 of the the original amount is left after 1000…

Q: If 14 g of a radioactive substance are present initially and 8 yr later only 7 g​ remain, how much…

A:

Q: The half life of a substance is described as the time it takes for the mass of a substance to be…

A:

Q: Suppose a sample of a certain substance decayed to 79.6% of its original amount after 300 days.…

A:

Q: Suppose that a bacteria population doubles every eleven hours.  If the initial population is 2,000…

A:

Q: 1. Fermium-253 has a half life of 3 days. If we start with 1000 mg, how much will be left after 20…

A:

Q: If the initial mass of an Potassium was 121 grams will remain after 22 hours is 30.25 grams, then…

A:

Q: 1. How many weeks will it take to have 700 g of matter decay down to 330 g of matter if the decay…

A:

Q: If the initial mass of an Potassium was 111 grams will remain after 10 hours is 27.75 grams, then…

A:

Q: 6. Determine the initial amount of radioactive substance if after 22 years, the remaining…

A:

Q: Element X decays radioactively with a half life of 9 minutes. If there are 760 grams of Element X,…

A: Formula for half life is as below : N(t)=19 gramsN0=760t = ?t12=9 minutes

Q: The half life of a decaying substance is the amount of time it takes for the substance to reduced to…

A: Let us assume it takes n half-lifes to reach 10mg

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.