A function m(t)= m₀e^(-rt) that models the mass remaining after t years is; m(t) = 27e^(-0.00043t)
The amount of sample that will remain after 4000 years is; 4.8357 mg
The number of years that it will take for only 17 mg of the sample to remain is; 1076 years
<h3>How to solve exponential decay function?</h3>
A) Using the model for radioactive decay;
m(t)= m₀e^(-rt)
where;
m₀ is initial mass
r is rate of growth
t is time
Thus, we are given;
m₀ = 27 mg
r = (In 2)/1600 = -0.00043 which shows a decrease by 0.00043
and so we have;
m(t) = 27e^(-0.00043t)
c) The amount that will remain after 4000 years is;
m(4000) = 27e^(-0.00043 * 4000)
m(4000) = 27 * 0.1791
m(4000) = 4.8357 mg
d) For 17 mg to remain;
17 = 27e^(-0.00043 * t)
17/27 = e^(-0.00043 * t)
In(17/27) = -0.00043 * t
-0.4626/-0.00043 = t
t = 1076 years
Read more about Exponential decay function at; brainly.com/question/27822382
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Experimental Probability is use to help make predictions by using materials that relate to the that probability so see if it could happen in real life.
EX: What is the probability of flipling a coin and landing on heads?
When u flip the coin you will have 2 possible choices..heads or tails..so be flipping a real coin you can see your chances ~Amiya
[-100, -99, -98, -97, -96, 95, -94 .... 94, 95, 96, 97, 98, 99, 100]
its all of the whole numbers from -100 to 100 inclusive
Answer:
El número 34 en numerología simboliza optimismo, espiritualidad, análisis, autoexpresión, introspección, pragmatismo. Si el número 34 es el número de tu destino, lo más probable es que seas una persona muy espiritual, sabia e intuitiva.
Step-by-step explanation:
formula is pi*r*(r+sqaureroot(h^2+r^2)
plug in the numbers and the calculated area is 1507.96
but since you cant use fraction or decimals
the answer should be 480PI
