Pre Calculus (not Calculus) A radioactive isotope has a half-life of 450 years. Find how long it will take a sample of the isotope to decrease from 6 mg to 2 mg.

Q: (b) (10) The amount of a given radioactive substance today is 8 grams. After 10 years, the amount…

A: Let the half life os the substance = T years . N(t) = amount remaining after t years = 6 gramsN0=…

Q: Estimating the Date That a Prehistoric Man Died The bonesof a prehistoric man found in the desert of…

A: Bones of the prehistoric man contain 5% of original carbon14. The half life of carbon14 is 5730…

Q: Finding Half-Life If 250 mg of a radioactive element decays to 200 mg in 48 hours, find the…

A: Substitute m=200, m0=250, t= 48 and r=ln2h in mt=m0e-rt. mt=m0e-rt200=250e-48ln2h45=e-48ln2h

Q: Carbon 14 (14C) dating assumes that the carbon dioxide on Earth today has the same radioactive…

A: Here,  t1/2=5700

Q: 9. Radioactive Decay The half-life of radium is 1690 years. If 10 grams is present now, how much…

A: The half-life of any substance represents the time required by that substance to reduce to half of…

Q: Carbon-14 dating assumes that the carbon dioxide on Earth today has the same radioactive content as…

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Q: Radioactive isotope with initial mass 50 grams half life 12 days how much will I have after 48 days…

A: Please refer to the image below

Q: Radium Decay Radium decays at a r* <Jroportional tothe amount present and has a half-life of 1…

A: Given: Half-life = 1,600 years Number of years = 6,400 years

Q: The half life of radon in 4 days . From a sample of 450g determine an equation that can be used to…

A: The half life is the time period in which the half of the initial quantity of substance is consumed…

Q: A radioactive substance Sodium-24 has a half-life of 15 hr. Find how long it takes for 80% of the…

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Q: An artifact originally had 16 grams of carbon-14 present. The decay model A 16 e .000121 describes…

A: An artifact originally had 18 grams of carbon-14 present. The decay model A= 16 e-0.000121t descnbes…

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e -0.000121t…

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Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e -0.0001211…

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Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16e-0.000121t…

A: Given decay equation is A=16e-0.000121t. Given year is 5715 years. Consider t  = 5715.

Q: Radioactive decay The mass of radioactive material in a sample has decreased by 30% since the decay…

A: We know that a function that decrease exponentially has the form yt=y0e-kt, where y0=y0 is the…

Q: One model for the way diseases die out when properly treated assumes that the rate at which the…

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Q: Uranium 235 is used as fuel for some nuclear reactors. It has a half-life of 710 million years. How…

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Q: Carbon-14 dating assumes that the carbon dioxide on Earth today has the same radioactive content as…

A: Let a be the amount of radioactive content in the charcoal. So, if λ is the decay rate, then we can…

Q: Radioactive Decay The half-life of titanium-44 is 63 years.How long will it take 200 grams to decay…

A: Half-life of a substance is time for the substance to decay to half its original amount. Decay of an…

Q: Tritium is used in nuclear weapons to increase their power. It decays at the rate of 5.5% per year.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The amount of a radioactive isotope present in a certain sample at time t is given by A(t) = 400 e…

A: Solve

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A= 16 e-0.000 1211…

A: given  A=16e-0.000121t

Q: 6. A 200 g sample of polonium has a half-life of 40 days. This means that every 40 days, the amount…

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Q: 6. Phosperium-1980 has a half-life and after 40 hours, the sample has decayed toof its original 256…

A: To write the equation to model the radioactive decay.

Q: Radioactive Decay Uranium-234 has a half-life of 2.7 X 10° years. (a) Find the amount remaining from…

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Q: An artifact originally had 16 grams of carbon-14 present. The decay model A=16e-0.000121t describes…

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Q: An unknown radioactive element decays into non-radioactive substances. In 660 days the radioactivity…

A: According to the given information, an unknown radioactive element decays into non-radioactive…

Q: Scientists can determine the age of ancient objects by themethod of radiocarbon dating. The…

A: Here, we will use the known half-life of C to find the radioactivity after time t. We know that…

Q: Carbon 14 (14C) dating assumes that the carbon dioxide on Earth today has the same radioactive…

A: Initial amount of carbon =1 Final amount = 22%= 0.22  Half life= 5700 years  time= t =? The…

Q: Radioactive Decay The half-life of cobalt is 5.27 years. If100 grams of radioactive cobalt is…

A: So the fraction of cobalt let after t years is(1/2)^(t/5.27)so the amount of the 100g left after t…

Q: Radioactive Decay The half-life of radium is 1690 years.If 10 grams is present now, how much will be…

A: Given that, the half-life of radium is 1690 years, and the amount present is 10 grams.   The…

Q: Radiometric dating Scientists can determine the age of  ancient objects by the method of radiometric…

A: Given: Half life of C14 is 5730 years. Percentage of remaining C14 in parchment is 74%. Let the…

Q: Exponential Decay The amount of radioactive material present at time r is given by A Age", where A,…

A:

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e -0.000121t…

A:

Q: Carbon 14 dating assumes that the carbon dioxide on Earth today has the same radioactive content as…

A:

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e -0.000 1211…

A:

Q: The development of an amusement park will increase the citys population at the rate of 4500V+ 1000…

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Q: Q5: A sample contains 1 gram of Radium. Will more than 0.5 gram of Radium remain after 1000 year?…

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Q: Carbon 14 dating assumes that the carbon dioxide on Earth today has the same radioactive content as…

A: Given; Half life of 14C = 5715

Q: Newton's law of cooling indicates that the temperature of a warm object, such as a cake coming out…

A: the temperature model is given by Tt=Ta+T0-Tae-kt given k = 0.046 initial temperature T0=375 Ta=80…

Q: The half-life of radium-226 is 1600 years. Suppose we have a 22-mg sample presently. (a)  How much…

A: We can make it easier for you

Q: Carbon 14 (14C) dating assumes that the carbon dioxide on Earth today has the same radioactive…

A: Given :- Carbon 14 C14 dating assumes that the carbon dioxide on Earth today has the same…

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e -0.000121t…

A: An artifact originally had 16 grams of carbon‐14 present. The decay model A=16 e-0.000121t,…

Q: Unrestricted. Yeast Growth The number of bac1eria in a yeast culture grows at a rate proportional to…

A: Population: Yeast Growth The number of bac1eria in a yeast culture grows at a rate proportional to…

Q: 8. Radium-226 has a half-life of 1600 years. Geologists find a rock and determine it contains 70% of…

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Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e -0.000121t…

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Q: Strontium-90 has a half-life of 28 days.(a) A sample has a mass of 50 mg initially. Find a…

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Q: Sodium Pentathol Elimination Ed is undergoing surgery for an old football injury and must be…

A: First, Ed need at least 50 mg/kg ×100 kg = 500 mg of sodium pentathol to be anesthetized.

Q: The half - life of a substance is 50years. Determine the amount of time needed for the substance to…

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