A toxic radioactive substance in the amount of 7 miligrams per square centimeters is detected in the ventilating ducts of an old nuclear processing building. If the half-life of the substance is 17 years what was the amount of the substance when it was deposited 41 years ago?

Q: Suppose a small quantity of radon gas, which has a half-life of 3.8 days, is accidentally released…

A: half life problem

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

A:

Q: If 100 mg of radium is reduced to 90 mg of radium in 200 years determine how much radium will remain…

A:

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

A:

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

A: Given that the​ half-life of​ carbon-14 is 5600 years and if a piece of charcoal made from the wood…

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

A:

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: Given that the half-life of radium is 1690 years, how much in milligrams will remain of one gram of…

A:

Q: suppose the half-life of caffeine in the bloodstream of a healthy adult is 6 hours. If the person…

A: Given: initial quantity of caffeine C0=200 mgt=12 hrs (11 am to 11 pm)half life t12= ln 2K…

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: 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 40 percent of the carbon-14 that is present in…

A:

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…

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: If a piece of machinery depreciates continuously at an annual rate of 4%, how many years will it…

A: To find: The number of years it will take for the value of machinery to halve. Concept used: The…

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: is

A:

Q: Suppose a nuclear accident releases 50 kilograms of the element Cesium 137. If the half life of…

A:

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

A: Given, Initial quantity of carbon-14=N(0)= 100% Quantity of C-14 remaining=N(t)= 30% Half-life of…

Q: the half-life of silicone-32 is 710 year if 40grams is present now  how much present in 900 years

A:

Q: Radioactive radium has a half-life of 1899 years. If 20g of the substance are present initially,…

A:

Q: You have 1,352 grams of a radioactive kind of neptunium. How much will be left after 130 minutes if…

A: We have to find

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 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 population of Jefferson City is 95,000. Assuming a growth rate of 2.5% pee year, what will the…

A: Given that population of Jefferson city is P=95,000.  growth rate is R=2.5% per year we have to find…

Q: The half-life of radium-225 is approximately 14.9 days. How much of a 15 gram sample of radium-225…

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: The half-life of Radium-226 is 14 years. How much of an initial 143 g sample will remain after 43…

A:

Q: The half-life of silicon-32 is 710 years. If 70 grams is present now, how much will be present in…

A: The equation governing mass at any time t will be: m(t) = m0e-kt where k = 0.693 / t1/2 = 0.693 /…

Q: A radium decomposes at a rate proportional to the amount present. In 100 years, 100 mg of radium…

A:

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: A piece of machinery valued at $30,000 depreciates at a rate of 10% yearly. How long will it take…

A:

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 half-life (in hours) of a radioactive substance that is reduced by 5 percent in 15 hours.

A:

Q: The half-life of radium-225 is approximately 14.9 days. How much of a 15 gram sample of radium-225…

A:

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: If 100 grams of a radioactive material diminish to 80 grams in 2 years, find the half-life of the…

A: Let the given condition can be modeled as  y=y0eλt   where, y=  Final quantity y0= Initial quantity…

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

A:

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 radium is 1690 years. if 50 grams are present now,how much will be present in 520…

A:

Q: The population of an endangered species decreases at a rate of 7% per year. Approximately how long…

A: Answer

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

A: Formula used:

Q: Assume a quantity decreases by 5.1% in 7.5 hours.What is the half-life of the substance?

A: Given:A quantity decreases by 5.1% in 7.5 hours.

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)…

Q: A certain radioactive substance has a half-life of 38 hour. Find how long (in hours) it takes for…

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.