The radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 80.8% of their​ carbon-14. How old were the bones at the time they were​ discovered?

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

A:

Q: The​ half-life of radium is 1690 years. If 80 grams are present​ now, how much will be present in…

A: We have given the half life of radium is 1690 years.And the present amount of radium is 80 grams…

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: The radioactive isotope of lead Pb-209, decays at a rate proportional to the amount present at any…

A: The differential equation for decay is dAdt=kA dAA=k·dt ⇒∫dAA=∫k·dt⇒lnA=kt+c1A=ekt+c1A=ektec1A=Cekt…

Q: At a certain instant, 100 grams of a radioactive substance is present. After 20 years, 99.76 grams…

A: given that 100 gm of a radio active substance is present. after 20 years 99.76 gm remain. we have to…

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 isotope Carbon-14 has a half-life of 5,730 years. Given 300 grams of C-14, what is…

A: topic - exponential function

Q: odine -131 has a half-life of approximately 8 days. ind the amount of iodine-131 left from a 100…

A:

Q: The half-life of radium is 1690 years. If 10 grams is present now, how much will be present in 100…

A: Half life of radium is 1690 years Present mass = 10 grams Mass at 100 years from now is to be…

Q: en artifact found in a crypt contains 93 percent of the carbon-14 that is present in living flax. To…

A: Given that a linen artifact found in a crypt contains 93 percent of the carbon-14 that is present in…

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

A:

Q: An element with mass 970 grams decays by 27.7% per minute. How much of the element is remaining…

A: Given that, The mass of the element is 970 grams, which decays by 27.7% per minute. To find: How…

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 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. A scientist determined that the…

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

A:

Q: What is the half-life of a radioactive substance if it takes 5 years for one-third of the material…

A: We have to find half life period

Q: The half-life of a certain substance is 3.6 days. How long will it take for 20 g of the substance to…

A:

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: An isotope of cesium has a half life of 29 years. If 1300 grams of cesium disintegrates over a…

A:

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: The half-life of Cesium-137 is 30.7 years. How long will 200 grams of Cesium-137 take to decay to…

A: Given data The half-life of the cesium-137 is t1/2 = 30.7 years. The initial amount of the…

Q: The half life of a certain isotope is 6.13 hours. If we have a sample of 5.0 ounces of that isotope,…

A:

Q: A 50-mg sample of a radioactive substance decays to34 mg after 30 days. How long will it take for…

A: Given: A 50 - mg sample of a radioactive substance decays to 34 mg after 30 days. To find: The time…

Q: The half-life of the plutonium isotope is 24,360 years. If 10 g of plutonium is released into the…

A: Half life of the plutonium isotope is 24,360 years. If 10g of plutonium is released into the…

Q: A radioactive substance has a decay rate of 4% per hour. If 1000 grams of the substance are present…

A: It is given that,a radioactive substance has a decay rate of 4% per hour. If 1000 grams of the…

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

A:

Q: The half-life of radium is 1690 years. If 10 grams is present now, how much will be present in 50…

A:

Q: A tumor is injected with 0.4 grams of Iodine-125, which has a decay rate of 1.15% per day. To the…

A:

Q: If 275 mg of a radioactive element decays to 200 mg in 48 hours, what is its half-life?

A:

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: 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: An artifact is discovered at a certain site. If it has 52% of the carbon-14 it originally contained,…

A: Topic:- exponential decaying function

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: An

A: Given,element with mass = 510 gramsdecay rate = 26.3% per minuteour aim is to find how much of the…

Q: A sample of a radioactive substance decayed to 10% of its original amount after 30 years. What is…

A: Given After 30 years substance decayed to 10 % of its original amount

Q: The half life of radium is 1690years. If 59 grams are present now, how much will be present in 60…

A: Let A(t) be the amount remaining in t years, then

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

A:

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

A:

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: The half life of radium is 1690 years. if 50 grams are present now,how much will be present in 520…

A:

Q: A 50-mg sample of a radioactive substance decays to 34 mg after 30 days. How long will it take for…

A: The radioactive decay is modelled using the equation: N(t)=N0e-kt, where N0 is the initial amount…

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

A: Formula used:

Q: Only 40% of the carbon-14 in a wooden bowl remains. How old is the bowl (rounded to the nearest…

A: Consider the given informationRemaining amount of carban-14 = 40%Now The radioactive decay equation

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

A:

Q: 2. A radioactive material loses 25% of its mass in 10 minutes. What is its half-life?

A: Let No be the initial mass, N be remainingmass.  Then  N= No - 25100 No = No - No4=34NoHence    t…

Q: In the last 4 line, where is the ^2 in the ln part?

A: The given integral,      ∫13arctanx dx

Q: he radioactive isotope gallium 67 has a biological half-life of 36 hours. If re start with 100…

A:

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

A:

Q: The half-life of radium is 1690 years. If 150 grams is present now, how long (to the nearest year)…

A: The half-life of radium is 1690 years. If 150 grams is present now, how long (to the nearest year)…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.