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(9 pts) 6. The number of grams Q of a substance after t hours is given...
The number of grams of a substance after t hours is given by Q = Qe...
The number of grams of a substance after t hours is given by Q = Qe 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...
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
please answer both problems. 3x + 6, if x < 0 5. Sketch the graph of...
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.
A radioactive substance decays at a rate proportional to the amount present at ime t (in...
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...
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.
Problem 1. (10 pts) The half life of a substance is 5 years. There are 30...
Problem 1. (10 pts) The half life of a substance is 5 years. There are 30 grams of the substance remaining after 9 years. (a) Write an equation of the form P(t) = Poekt for the amount of the substance in grams remaining after t years. (6) Give the continuous decay rate as a percentage and the percent rate of change as a percentage. Clearly label each.
Please answer the following questions using exponential and logarithmic models. 4) A wooden artif...
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...
Modeling Exponential Growth and Decay A scientist begins with 240 grams of a radioactive substance. After...
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...
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...
9. [-14 Points] DETAILS SPRECALC7 4.6.017. This exercise uses the radioactive decay model. The half-life of...
9. [-14 Points] DETAILS SPRECALC7 4.6.017. This exercise uses the radioactive decay model. The half-life of radium-226 is 1600 years. Suppose we have a 28-mg sample. (a) Find a function m(t) = moz-th that models the mass remaining after t years. m(t) = (b) Find a function m(t) = moet that models the mass remaining after t years. (Round your value to six decimal places.) m(L) = (c) How much of the sample will remain after 2500 years? (Round your...
The number of grams of a substance after t hours is given by Q = Qe 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
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.
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.
Problem 1. (10 pts) The half life of a substance is 5 years. There are 30 grams of the substance remaining after 9 years. (a) Write an equation of the form P(t) = Poekt for the amount of the substance in grams remaining after t years. (6) Give the continuous decay rate as a percentage and the percent rate of change as a percentage. Clearly label each.
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...
9. [-14 Points] DETAILS SPRECALC7 4.6.017. This exercise uses the radioactive decay model. The half-life of radium-226 is 1600 years. Suppose we have a 28-mg sample. (a) Find a function m(t) = moz-th that models the mass remaining after t years. m(t) = (b) Find a function m(t) = moet that models the mass remaining after t years. (Round your value to six decimal places.) m(L) = (c) How much of the sample will remain after 2500 years? (Round your...
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