The amount of Carbon 14 absorbed by a tree that grew centuries ago should be the same amount as today. A piece of ancient charcoal contains only 15% as much radioactive carbon as a piece of modern charcoal.  How long ago was the tree burned to make the ancient charcoal if the half-life of Carbon 14 is 5730? Half-life formula: A(t)=P(1/2)t/T T=half-life

Q: You have 10 ounces of a radioactive substance with a half-life of 5 hours. How long it be until only…

A: Solution

Q: Solve. The half-life of silicon-32 is 710 years. If 60 grams is present now, how much will be…

A:

Q: At the beginning of an experiment, a scientist has 328 grams of radioactive goo. After 180 minutes,…

A: Here, At the beginning of an experiment, a scientist has 328 grams of radioactive goo. After 180…

Q: At the beginning of an experiment, a scientist has 248 grams of radioactive goo. After 120 minutes,…

A:

Q: At the beginning of an experiment, a scientist has 340 grams of radioactive goo. After 195 minutes,…

A: Radioactive decay is given by: Where N0 - the initial amount             λ - decay constant…

Q: At the beginning of an experiment, a scientist has 272 grams of radioactive goo. After 225 minutes,…

A: Solution

Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A:

Q: The​ half-life of a certain tranquilizer in the bloodstream is 37 hours. How long will it take for…

A:

Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A: for the half-life, use the formula y=a0.5tp here initial amount is a=300 mg and the half-life is…

Q: At the beginning of an experiment, a scientist has 220 grams of radioactive goo. After 270 minutes,…

A:

Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A: Given: The half - life of Radium - 226 is 1590 years.  A sample contains 300 mg.  To find: Amount of…

Q: At the beginning of an experiment, a scientist has 116 grams of radioactive goo. After 90 minutes,…

A:

Q: At the beginning of an experiment, a scientist has 148 grams of radioactive goo. After 105 minutes,…

A:

Q: The half-life of radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain…

A: The formula to find the amount of remaining radioactive material is given by the expression: An =…

Q: At the beginning of an experiment, a scientist has 120 grams of radioactive goo. After 120 minutes,…

A: see below the calculation and answer

Q: At the beginning of an experiment, a scientist has 272 grams of radioactive goo. After 120 minutes,…

A:

Q: At the beginning of an experiment, a scientist has 252 grams of radioactive goo. After 120 minutes,…

A:

Q: At the beginning of an experiment, a scientist has 180 grams of radioactive goo. After 210 minutes,…

A:

Q: The rate of fingernail growth depends on many factors, but in adults, nails grow at an average rate…

A: To determine the equation for the nails growth over the month

Q: At the beginning of an experiment, a scientist has 284 grams of radioactive goo. After 60 minutes,…

A: Answer

Q: The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain…

A: Given that - Half Life = t12 = 1590 years.Formula for half life - t12 = ln2kk = ln2t12where,k = rate…

Q: Radium decomposes in air at the rate proportional to the amount present. It is found out that in 25…

A: The decomposition rate of the radium in air is proportional to the amount present in air.

Q: The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain…

A:

Q: At the beginning of an experiment, a scientist has 372 grams of radioactive goo. After 195 minutes,…

A:

Q: How long it will take for an investment of 1000 dollars to double in value if the interest rate is…

A: Given: The initial value is $1000, the future value is $2000, and the interest rate is 8.5% per…

Q: The population of Weston is currently 7,000. But the population is shrinking according to the…

A:

Q: At the beginning of an experiment, a scientist has 160 grams of radioactive goo. After 255 minutes,…

A: CONCEPT: Exponential decay is defined as the decrease in the amount of certain quantity over time…

Q: At the beginning of an experiment, a scientist has 228 grams of radioactive goo. After 135 minutes,…

A: Given that: P=the initial amount= 228 Time=t=135 minutes A=final amount= 3.5625 r=rate    Using the…

Q: Juliana invested $5,000 at 5.25% p.a. simple interest. How many days will it take for her investment…

A:

Q: At the beginning of an experiment, a scientist has 304 grams of radioactive goo. After 60 minutes,…

A:

Q: At the beginning of an experiment, a scientist has 128 grams of radioactive goo. After 105 minutes,…

A:

Q: At the beginning of an experiment, a scientist has 220 grams of radioactive goo. After 120 minutes,…

A: Let h minutes be the half life. Amount of initial sample is 220 gms. The amount of sample after t…

Q: At the beginning of an experiment, a scientist has 396 grams of radioactive goo. After 75 minutes,…

A:

Q: The population of a certain country is growing at a rate of 1.4% per year. How long will it take for…

A:

Q: At the beginning of an experiment, a scientist has 388 grams of radioactive goo. After 150 minutes,…

A: Given data are: Initial amount of radioactive goo= 388 grams Amount of radioactive goo after 150…

Q: The half-life of radium is approximately 1690 years. A laboratory has 50 milligrams of radium. How…

A: Given the half life of radium is approximately 1690 years. To find: Time required to change radius…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 100 mg, how many mg will remain…

A: Given half life =1590 years t0=100, time =0t1=50, time =1590t2=25, time = 2(1590)t3=12.5, time =…

Q: At the beginning of an experiment, a scientist has 336 grams of radioactive goo. After 105 minutes,…

A:

Q: Human hair from a grave in Africa proved to have only 91% of the carbon 14 of living tissue. When…

A: Given:

Q: Dale has $1000 to invest. He has a goal to have $2500 in this investment in 11 years. At what annual…

A: Given: Dale has $1,000 to invest. He has a goal to have $2,500 in this investment in 11 years. Find…

Q: At the beginning of an experiment, a scientist has 192 grams of radioactive goo. After 165 minutes,…

A: We will solve using exponential decay function

Q: At the beginning of an experiment, a scientist has 180 grams of radioactive goo. After 180 minutes,…

A: G(t)=G(0)(1/2)^(t/t1/2)

Q: At the beginning of an experiment, a scientist has 260 grams of radioactive goo. After 135 minutes,…

A:

Q: At the beginning of an experiment, a scientist has 248 grams of radioactive goo. After 150 minutes,…

A: Given At the beginning of an experiment, a scientist has 248 grams of radioactive goo. After 150…

Q: At the beginning of an experiment, a scientist has 180 grams of radioactive goo. After 150 minutes,…

A:

Q: The half-life of Radium-226 is 1590 years. If a sample contains 100 mg, how many mg will remain…

A:

Q: The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain…

A:

Q: At the beginning of an experiment, a scientist has 368 grams of radioactive goo. After 75 minutes,…

A: the beginning of an experiment, a scientist has 368 grams of radioactive goo. After 75 minutes, her…

Q: At the beginning of an experiment, a scientist has 268 grams of radioactive goo. After 180 minutes,…

A: We have to determine the equation for G(t) and remaining amount after 32 minutes.

Q: At the beginning of an experiment, a scientist has 400 grams of radioactive goo. After 75 minutes,…

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.