Question

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 half-life of the element, or how long it takes for the original sample to become half of its original mass.

Answer #1

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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.

Experiment 1: Titrations With Hot Taco Sauce and
Ketchup
Materials:
(2) 250 mL Beakers
100 mL Beaker (waste beaker)
30 mL Syringe
Syringe stopcock
100 mL Graduated cylinder
Funnel
Stir rod
Ring stand
Ring Clamp
pH meter
Scale
20 mL 0.1M NaOH
2 Ketchup packets
2 Hot sauce packets
*90 mL Distilled water
*Scissors
*Computer Access
*Access to a Graphing Software
*Procedure for creating this solution provided in the "Before
You Begin..." section (located at the beginning of the manual)....

________ client-centered therapy centers on the patient's goals
and ways of solving problems.
Select one:
a. Rogers'
b. Freud's
c. Beck
d. Ellis
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A frequently prescribed drug therapy for managing one's
depression is ____________.
Select one:
a. Adderall
b. Lithium
c. Prozac
d. Thorazine
Question 3
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A major goal of modern inpatient psychiatric treatment is:
Select...

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