Suppose a sample of a radioactive substance weighs 30 mg. One year later, the sample weighs 27.5 mg. What is the half-life of this substance? (Round your answer to two decimal places.) yr

Q: Suppose a sample of a certain substance decayed to 73.2% of its original amount after 300 days.…

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Q: Find the half-life of a radioactive substance that decays by 4% in 3 years. (Round your answer to…

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Q: Complete the table shown to the right for the half-life of a certain radioactive substance. Decay…

A: We know that the half - life of a substance is given by : t1/2 = 0.693/k where, k is the decay…

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

A: Equation governing the radioactive decay is: A = A0e-kt When t = 1,599 then A = A0 / 2 (this is by…

Q: An artifact contains 42% of the Carbon-14 that it originally had. How long ago was the artjfact…

A: Use the carbon dating method to know the age of the artifact.

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

A: Solution:-  The sample of the certain substance decayed to 75.6% of its original amount after 300…

Q: A radioactive substance has a half-life of 29 years. What percent remains 80 years after being…

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Q: WThe half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows…

A: Given : The half life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a…

Q: An isotope of lead, 201Pb, has a half-life of 8.4 hours. How many hours ago was there 20% more of…

A: Using radio active decay half life equation

Q: The half-life of a certain radioactive substance is 9 years.  What is the yearly decay factor? Round…

A: The formula for exponential decay or growth function is given by: A = A0ekt Here, A = final amount…

Q: what is the​ half-life of a radioactive​ element, which decays according to the function…

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Q: The half-life of Carbon-14 is 10 years. How much of an initial 138 g sample will remain after 49…

A: Radioactive decay.

Q: A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in…

A: I have stated the used formula in the solution.

Q: Suppose a sample of a radioactive substance weighs 34 mg. One year later, the sample weighs 25.5 mg.…

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

A:

Q: This exercise uses the radioactive decay model. If 250 mg of a radioactive element decays to 190 mg…

A: Given that 250 mg of a radioactive element decays to 190 mg in 24 hours. So, for finding the…

Q: how long will it take for an investment of $9,000 to double if the investment earns interest at the…

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Q: A wooden artifact from an ancient tomb contains 25 percent of the carbon- 14 that is present in…

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Q: An unknown radioactive element decays into non- radioactive substances. In 240 days the…

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Q: The half-life of a radioactive radium is 1650 * years, what percentage of the amount present now…

A: Here first we find rate of decay rate using half life formula t12=-1rln12wheret12=half lifer= decay…

Q: A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in…

A: We have to find how long ago, to the nearest year, was the artifact made.

Q: Find the half-life of a radioactive substance if 250 grams of the substance decays to 190 grams in 7…

A: Consider N0 be the initial amount of substance

Q: 10) The half-life of silicon-32 is 710 years. If 40 grams is present now, how much will be present…

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

A:

Q: An Artifact contains 42% of the Carbon-14 that it originally had. How long ago was the artifact…

A:

Q: A sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years. Part A: How much…

A:

Q: wooden artifact from an ancient tomb contains 25 percent of the carbon-14 that is present in living…

A: We have given that a wooden artifact tomb contains 25 percent of the carbon-14 that is present in…

Q: A bank offers 10% compounded continuously. How soon will a deposit do the following? (Round your…

A: Given: r = 10% compounded continuoslyt = time in yearsLet say, P    =  Principal amountAt=…

Q: Radium decomposes at the rate proportional to the present amount. If the half- life is 1600 years,…

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Q: A sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years. How much of the…

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Q: Complete the table shown to the right for the half-Kife of a certain radioactive substance.…

A: Consider the radioactive decay function, At=A0e-kt Where, At represents the amount of substance left…

Q: If 16% of a radioactive substance decays in 13 hours, what is the half-life of the substance? Round…

A: In case of a radioactive decay,  the amount x after time t is given by x(t)=x(0)e−kt where x(0) is…

Q: Suppose a sample of a radioactive substance weighs 34 mg. One year later, the sample weighs 25.5 mg.…

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Q: A sample of a radioactive substance decayed to 94.5% of its original amount after a year. (Round…

A:

Q: An article on the "Iceman" stated that the frozen corpse was 5,000 to 5,500 years old. Assuming the…

A: Given data: The given time is t=5,200 years. The given half lifetime is t1/2=5,730. The expression…

Q: Carbon 14 has a half-life of 5,730 years. How fast is a lump of 80 grams decaying after 100 years?…

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Q: A laboratory test confirms that 9 miligrams of a particular radioactive substance decreases to 7…

A: Explanation of the answer is as follows

Q: Assume a quantity decreases by 7.5% in 5.3 hours. What is the half-life of the substance? hours

A: Calculating the half life of the substance using the given conditions

Q: If 250 mg of a radioactive element decays to 220 mg in 12 hours, find the half-life of the element.…

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Q: Suppose a sample of a radioactive substance weighs 30 mg. One year later, the sample weighs 29.5 mg.…

A:

Q: Suppose a sample of a certain substance decayed to 65.2% of its original amount after 300 days.…

A: Given: Substance decayed to 65.2% of its original amount after 300 days

Q: The decay rate of a certain radioactive isotope is 13% per year. a) What is its half-life? Round to…

A: (a) Given that, the decay rate of a certain radioactive isotope is 13% per year. Let the initial…

Q: suppose a sample of radioactive substance weighs 40mg. one year later, the sample weighs 25.5mg.…

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

Q: Suppose a sample of a radioactive substance weighs 34 mg. One year later, the sample weighs 25.5 mg.…

A: We have to solve

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: How much carbon-14 would you expect to find in a 11,460-year-old relic? (Round your answer to the…

A: Solution is given below

Q: A wooden statue found in Egypt has a carbon-14 content that is three-fifths of that found in living…

A: The given problem is solved below in detail.

Q: A bank offers 4% compounded continuously. How soon will a deposit do the following? (Round your…

A: Find the years

Q: If 20% of the radioactive substance disappears in one year, find its half-life assuming exponential…

A: topic - exponential function

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.