The number of grams A of a certain radioactive substance present at time, in years from the present, t is given by the formula
A=45e^-0.0045t
What is initial amount of this substance
What is half-life of this substance
How much will be around in 2500 years
hope this helps.
The number of grams A of a certain radioactive substance present at time, in years from...
A radioactive substance decays at a rate proportional to the amount present at ime t (in hours). Initially, Ao grams of the substance was present, and after 10 hours, the mount has decreased by 20% How long will it take the substance to decay to 40? hat is the half life of this substance? Hint: the half-life is the time required for half of the initial substance to decay)
A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the sample has decayed to 36 grams. Write an exponential equation f(t) representing this situation. (Let f be the amount of radioactive substance in grams and t be the time in minutes.) f(t) 250e 0.0087t x To the nearest minute, what is the half-life of this substance? 89 min Use the model for continuous exponential decay, y = Ao e-kt, where y is the amount of radioactive...
h= half life a0 = original amount a(t) = amount present after t years t = time What information do you need? TH 100 - D100 Use equation : acca un Page 4 of 5 4. Suppose we have Xo amount of a certain radioactive substance. It has been observed that this substance losses 5% of its mass every 10 years. @ How much of the initial mass Xo remains after 10 years? What about 20 years? (b) Use the...
Part III continued 6. The rate of decay of a radioactive substance is proportional to the amount present. Today we have 10 grams of a radioactive substance. Given that 1/3 of the substance decays every 5 years, how much will be left 17 years from today? 7. Evaluate the following integrals: a) 5-4x-x2 dx, x2-x3 Part III continued 6. The rate of decay of a radioactive substance is proportional to the amount present. Today we have 10 grams of a...
-.161 The amount of a certain radioactive material (in grams) in a storage facility at time t is given by c(t) = 17 e where time is measured in years. (a) How much of the radioactive material was present initially? (b) What is the hall-life of the radioactive material? (Hint: For what value oft is c(t) = 8.5?) (a) Initially, there were grams of the radioactive material. (Round to two decimal places as needed.) Find the interest on the following...
A radioactive substance has a half-life of 17.33 years. Use the formula n(t) = n0e^ −kt which tells you how much is left at time t > 0 to find how much of a 20-gm sample would remain one hundred years after it is collected. Round your answer to the nearest two decimal places.
2. A radioactive substance decays from 330 grams to 46 grams in 37 hours. What is its half-life? A = A ()
dy 1.A. Solve the differential equation: = = y2ex dx dy B. Solve the initial value problem: + 2y = 3x2 ; y(0) = 1 dx C.A certain radioactive substance has a half life of 1300 years. Assume an amount yo was initially present. a.Find a formula for the amount of radioactive substance present at any time t. b.In how many years will only 1/10 of the original amount remain?
3 pts It is handy to have an equation to quickly determine the number of atoms left in a radioactive sample as a function of time. For this we can divide the initial amount by two for every half-life of time, the following equation does exactly that: N No (24/01/2) N, 2 1/2 where N is the initial number of atoms at t=0, t is time passed and is the half-life. Use the above equation to help you answer the...
A radioactive element decays according to the function y=y0 e −0.0307t, where t is the time in years. If an initial sample contains y0 = 8 grams of the element, how many grams will be present after 20 years? What is the half-life of this element?