A radioactive substance used in nuclear weapons decays at the rate of 3.2% per year. Calculate the half-life of the radioactive substance.

Q: Radiocarbon C14 has a half-life of 5730 years. How many years will it take for 26%of a sample of C14…

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Q: A wooden artifact from an ancient tomb contains 30 percent of the carbon-14 that is present in…

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Q: A wooden artifact from an ancient tomb contains 45 percent of the carbon-14 that is present in…

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Q: A wooden artifact from an ancient tomb contains 60 percent of the carbon-14 that is present in…

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

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Q: A wooden artifact from an ancient tomb contains 40 percent of the carbon-14 that is present in…

A: Given: The remaining percentage of carbon is 40%. The half-life of carbon-14 is 5730 years.

Q: The radioactive element polonium-210 has a half-life of 138 days. If you have 100 micrograms of…

A: The half-life equation for radioactive decay is:

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

A: We will find the remains after 80 years in percentage.

Q: A wooden artifact from an ancient tomb contains 45 percent of the carbon-14 that is present in…

A: A wooden artifact from an ancient tomb contains 45 percent of the carbon-14 that is present in…

Q: After the release of radioactive material into the atmosphere from a nuclear power plant in a…

A: Given that  To find the how long did the farmers need to wait to use this hay

Q: The half-life of the radioactive element tritium is 12 years. Find its decay constant.

A: We have, the half-life of the radioactive element tritium is 12 years. As we know that, The time in…

Q: A wooden artifact from an ancient tomb contains 60 percent of the carbon-14 that is present in…

A: Please refer to the image below

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

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Q: A wooden artifact from an ancient tomb contains 40 percent of the carbon-14 that is present in…

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Q: of a radiooctive substonce decayed to 93.5% of its original sample amount after oyear What is the…

A: we need find half life substance k=? and t=?

Q: The half-life of radium in a piece of lead is 1600 years. What percentage of the original amount of…

A: Given that, the half-life of radium in a piece of lead is 1600 years. Note that, the formula for…

Q: A wooden artifact from an ancient tomb contains 55 percent of the carbon-14 that is present in…

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Q: Identify the initial amount and the growth or decay factor for the exponential function. _y = 250 ·…

A: In  an exponential function y=abx, a represents the initial value, b represents growth or decay…

Q: A wooden artifact from an archaeological dig contains 70 percent of the Carbon-14 that is present in…

A: Given:wooden artifact=70% of carbon-14half-life of carbon-14 =5730 yearswe know that radioactive…

Q: After 15 years, one fourth of the initial mass of radioactive substance has decayed. a) Find the…

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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: 1000 mg of a medication is administered to a patient. After 6 hours, only 271 mg remains in the…

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Q: A wooden artifact from an ancient tomb contains 55 percent of the carbon-14 that is present in…

A:

Q: A wooden artifact from an ancient tomb contains 60 percent of the carbon-14 that is present in…

A: Given:-Carbon contains 60% of its initial value  First we find the vale of decay rate from half time…

Q: A wooden artifact from an ancient tomb contains 35 percent of the carbon-14 that is present in…

A: The question is exponential function based and we can identify it as we are given the half life. We…

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

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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: act from an ancient tomb contains 40 percent of the carbon-14 that is present in w long ago, to the…

A: I have appended the formula used in the solution part

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

A: To find the initial amount of radioactive substance decay rate and half-life of the substance…

Q: 40 grams of radioactive material decays to 35 grams in 20 years. Find the half-life.

A: In this question we need to find the half life of the given radioactive material

Q: After 15 years, one fourth of the initial mass of radioactive substance has decayed. a) Find the…

A: The given problem is to find the half life and percentage loss in the 90 years for the given radio…

Q: The half-life of radioactive strontium-90 is approximately 29 years. In 1965, radioactive…

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Q: Oganesseon 294 has an exponential decay rate of 38.51% per millisecond what is the half life

A: Let N(t) be the amount of Oganesseon 294 at time t. Exponential decay rate is:  r = 38.51%

Q: A wooden artifact from an ancient tomb contains 35 percent of the carbon-14 that is present in…

A: Radioactive decay

Q: A scientist begins with 450 grams of a radioactive substance. After 55 minutes, the sample has…

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Q: A wooden artifact from an ancient tomb contains 60 percent of the carbon-14 that is present in li…

A: The solution is given below

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

A: The half life is 5750 years. Amount of carbon-14 lost is 28%.

Q: Find the one-hour growth rate for each type of bacteria.

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Q: What is the decay rate of the radioactive substance?

A: Decay Rate of radioactive substances - Decay rate of radioactive substances is the decrease in…

Q: A particular isotope has a half-life of 1 minutes.  If you start with 1 gram of this isotope, how…

A: To determine: A particular isotope has a half-life of 1 minutes.  If you start with 1 gram of this…

Q: A wooden artifact from an archaeological dig contains 80 percent of the Carbon-14 that is present in…

A: Given that a wooden artifact from an archaeological dig contains 80 percent of the Carbon-14 that is…

Q: Suppose that we initially have 500 mg of a radio-active substance as sample. After a year, the…

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Q: Radioactive radium has a half-life of approximately 1599 years. What percent of a given amount…

A: A(t)=A012thh is the half lifeA(t) is the amount after t years.A0 is the initial value.

Q: The half-life of radioactive strontium-90 is approximately 27 years. In 1963, radioactive…

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Q: The half-life of Carbon-29 is 1300 years. If 15 grams are present now, how much will be present in…

A: Let A(t) be the amount of Carbon-29 remaining in t years, then

Q: An unknown radioactive element decays into non-radioactive substances. In 880 days, the…

A: The half life of a radioactive element is the time it takes to decay half of its original isotope.…

Q: A wooden artifact from an archaeological dig contains 90 percent of the Carbon-14 that is present in…

A: Formula used:

Q: A wooden artifact from an ancient tomb contains 60 percent of the carbon-14 that is present in…

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Q: If 250 mg of a radioactive element decays to 200 mg in 48 hours, find the half-life of the element.

A:

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.