
The number of grams of a substance after t hours is given by Q = Qe...
(9 pts) 6. The number of grams Q of a substance after t hours is given by Q=Qc02977 How long will it take for 100 grams of the substance to decay to 60 grams? Round your answer to 3 decimal places.
please answer both problems.
3x + 6, if x < 0 5. Sketch the graph of f(x) = { 1 -= x+3, if x > 0 ,-0.2371 6. The number of grams Q of a substance after t hours is given by Q=Qoe How long will it take for 100 grams of the substance to decay to 60 grams? Round your answer to 3 decimal places.
3x +6, if x so (8 pts) 5. Sketch the graph of f(x)= 1 *+3, ifr>0 (9 pts) 6. The number of grams Q of a substance after 7 hours is given by Q=Qe6291How long will it take for 100 grams of the substance to decay to 60 grams? Round your answer to 3 decimal places. [1 27 (9 pts) 7. Find A ', by hand, if A = 1 2 5 -1 1 2
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)
Strontium-90 has a half-life of 28 days. Using the exponential decay model Q(t) = Qoe-ht, find the k value to 4 decimal places. How long it would take for 150 grams of Strontium-90 to decay to 5 grams. Round your answer to the nearest day. Answer with a complete sentence. Show all work.
Modeling Exponential Growth and Decay A scientist begins with 240 grams of a radioactive substance. After 250 minutes, the sample has decayed to 34 grams. a. Rounding to four decimal places, write an exponential equation, R(t) = Aekt, representing this situation, using the variablet for minutes. R(O) = b. To the nearest minute, what is the half-life of this substance? The half-life is approximately minutes.
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...
A) You are using a Geiger counter to measure the activity of a radioactive substance over the course of several minutes. If the reading of 400. counts has diminished to 100. counts after 72.2 minutes , what is the half-life of this substance? Express your answer numerically in minutes. B) An unknown radioactive substance has a half-life of 3.20 hours . If 19.1 g of the substance is currently present, what mass A0 was present 8.00 hours ago? Express your...
Please answer the following questions using exponential and logarithmic models. 4) A wooden artifact from an archaeological dig contains 70 percent of the Carbon-14 that is present in living trees. To the nearest year, about how many years old is the artifact? (The half-life of Carbon-14 is 5730 years.) In years 5) A tumor is injected with 0.5 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an exponential model representing the amount of Iodine-125 remaining...
An unknown radioactive substance has a half-life of 3.20 hours. If 39.6 g of the substance is currently present, what mass Ao was present 8.00 hours ago? Express your answer with the appropriate units. View Available Hint(s) ? OP HÅR A9 = Value O 2 Units Submit Part C Americium-241 is used in some smoke detectors. It is an alpha emitter with a half-life of 432 years. How long will it take in years for 34.0 % of an Am-241...