Question

ple 1: The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate parameter of 8.5% per day. Find the half - life of this substance (that is, the time it take for one - half of the original amount in a give sample of this substance to deca

Answer #1

Initially 100 milligrams of a radioactive substance was present.
After 8 hours the mass had decreased by 4%. If the rate of decay is
proportional to the amount of the substance present at time
t, determine the half-life of the radioactive substance.
(Round your answer to one decimal place.)

Initially 100 milligrams of a radioactive substance was present.
After 5 hours the mass had decreased by 7%. If the rate of decay is
proportional to the amount of substance present at time t,
determine the half-life of the radioactive substance

An exponential decay function can be used to model the number of
grams of a radioactive material that remain after a period of
time. Carbon-14 decays over time, with the amount remaining after
t years given by y=y 0 e Superscript negative 0.00012378
ty=y0e−0.00012378t, where y0 is the original amount. If the
original amount of carbon-14 is 450450 grams, find the number of
years until 346346 grams of carbon-14 remain.

A radioactive substance decays at a continuous rate of 8.6% per
day. After 15 days, what amount of the substance will be left if
you started with 100 mg? (a) First write the rate of decay in
decimal form. r= (b) Now calculate the remaining amount of the
substance. Round your answer to two decimal places

An experiment is taking place involving an exponentially
decaying radioactive element with a decay factor of 5%. If 34.6
grams of the element are left 4 months after the start of the
experiment,
(a) create a model for the remaining mass of the element M(x) as
a function of months since the start of the experiment. Assume a
basic exponential model of the form M(x) = a·b^x.
(b) determine the mass of the element after 6 months.
(c) determine the...

A sample of a certain radioactive material decays to 89.36% of
its mass after 2 years.
a. What is the half-life of the material? Show your calculations
and keep four significant figures of accuracy.
b. How long would it take for the sample to decay to 10% of its
original mass? How much longer after that would it take to decay to
1% of its original mass?

A radioactive material disintegrates at a rate proportional to
the amount currently present. If Q(t) is the amount present at time
t, then
dQ/dt =−rQ
where r>0 is the decay rate.
If 100 mg of a mystery substance decays to 81.14 mg in 4 weeks,
find the time required for the substance to decay to one-half its
original amount. Round the answer to 3 decimal places.
______________weeks

The number of bacteria in a certain population increases
according to a continuous exponential growth model, with a
growth rate parameter of
2.3% per hour. How many hours does it take for the
size of the sample to double?

Part 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 78.4
minutes , what is the half-life of this substance?
Express your answer with the appropriate units.
Part B
An unknown radioactive substance has a half-life of 3.20 hours .
If 26.8 g of the substance is currently present, what mass
A0 was present 8.00 hours...

Consider a pure sample of a radioactive isotope with a mass
number of (52). If the sample has mass of (25.0) micrograms and the
isotope has a half-life of (12.5)x10^6 years, determine the decay
rate for the sample. Give your answer in decays/second and with 3
significant figures.

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