1. A sample of einsteinium-252 decayed to 64.3% of its original mass after 300 days. a) What is the half-life einsteinium-252? b) How long would it take the sample to decay to one-third of its original mass?

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

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Q: Of an initial amount of 6000 g of lead-210, how much will remain in 110 years? Lead-210 decays at a…

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

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

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Q: Assume that radium disintegrates/decomposes at a rate proportional to the amount present. If 100 mg…

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Q: 2. A certain plutonium isotope decays at a rate proportional to the amount present. Approximately…

A: Let  at time t the amount of plutonium is  A(t)

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

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Q: A scientist begins with 225 grams of a radioactive substance. After 300 minutes, the sample has…

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Q: Suppose a sample of a certain substance decayed to 77.4% of its original amount after 300 days.…

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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: During a preliminary survey of an asteroid, chemical analysis indicated that a certain radioactive…

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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: 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: Suppose a sample of a certain substance decayed to 65.8% of its original amount after 300 days. (Ro…

A: Given that the substance decayed to 65.8% of its original amount after 300 days. (a) To determine…

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: A sample of radium metal has a weight of 1.5 mg and a half-life of approximately 6 years

A: sample of radium metal has a weight of 1.5 mg and a half-life of approximately 6 years

Q: Radioactive cesium-137 has a half-life of 30.17 years. How much of an initial amount of 1,000…

A: If N0 is the initial amount and t is the number of years then equation of decay  is given by…

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

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Q: Of an initial amount of 5000 g of lead-210, how much will remain in 120 years? Lead-210 decays at a…

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Q: Of an initial amount of 9000 g of lead-210, how much will remain in 120 years? Lead-210 decays at a…

A: Apply the formula  P(t)=Po(1-r)t where, Po is the initial quantity r is the rate and t is the time.…

Q: Element X is a radioactive isotope such that every 7o years, its mass decreases by half. Given that…

A: Solution : Given that element X is a radioactive isotope such that every 70 years, its mass…

Q: 3. A radioactive substance has a half-life of 1620 years. If its mass is now 4 grams, find the time…

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Q: 4.A radioactive substance loses 3% of its substance every 5 years. What is the half-life of this…

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Q: A certain substance decays so that each year 92% of the previous year's material is still present.…

A: A substance decay such that each year 92% of the previous year's material still remains. So, 8% of…

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

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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: The half-life of Carbon-14 is 7 years. How much of an initial 131 g sample will remain after 45…

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

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Q: Strontium-90 has a half-life of 29 years. If there are 400 grams of strontium initially, how much,…

A: Strontium-90 has a half-life of 29 years, there are 400 grams of strontium initially.

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…

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Q: Suppose a sample of a certain substance decayed to 73.6% of its original amount after 300 days.…

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Q: 2-Suppose that the half-life of a certain radioactive substance is 2 days and there are 50g…

A: After each half life the amount left will be half the initial amount.

Q: (a) How much of the initial sample will be left in the sample after 15 years? (b) How long will it…

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Q: A certain radioactive isotope has a half-life of approximately 1750 years. How many years to the…

A: Consider the amount is, A=Pert here, A is the isotope, P is the initial amount and r is the…

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: A certain element decays at a rate of .000163/year. Of a piece of this element of 450 kg, how much…

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Q: Of an initial amount of 8000 g of lead-210, how much will remain in 120 years? Lead-210 decays at a…

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

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Q: Of an initial amount of 4000 g of lead-210, how much will remain in 130 years? Lead-210 decays at a…

A: Find much much will remain

Q: A sample of bismuth-210 decayed to 33% of its original mass after 8 days.(a) Find the half-life of…

A: Since, we have been given a sample of bismuth-210 decayed to 33%of its original mass after 8…

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

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Q: An element with mass 640 grams decays by 7:3% per minute. How much of the element is remaining after…

A: Given intial mass =640 gmsRate of decay=7.3% per miniutetime =8 minute

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

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

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Q: Element X is a radioactive isotope such that every 28 years, its mass decreases by half. Given that…

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Q: 9. A sample of tritium-3 decayed to 94.5% of its original amount after a year (a) What is the…

A: Consider N (t) is the amount of tritium-3 relative to the original amount, then general form is,

Q: If the half-life of a radioactive substance is 7,300 years, then at what rate is it decaying? (Hint:…

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Q: 3. Radioactive carbon-14 fossil decays at a rate proportional to its amount present and has a…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.