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The chemical element einsteinium-253 naturally loses its mass over time. When a sample of einsteinium-
253 was initially measured, it had a mass of 15 grams.
The relationship between the elapsed time t, in weeks, and the mass, Mweek (t), left in the sample is
modeled by the following function:
Mwock (t) = 15 - (0.79)
Complete the following sentence about the daily rate of change in the mass of the sample.
Round your answer to two decimal places.
Every day the mass of the sample decays by a factor of?

Respuesta :

Answer:

it is for sure .97

Step-by-step explanation:

Just had this question on khan academy

Decay of Exponential arises whenever the amount of reduction is directly proportional to the number that exists. Divide the actual number of people by the total number of people in the beginning.

  • [tex]M(t) = (0.97)^{7t+5}[/tex] models a relationship in between elapsed time t (in weeks) after an einsteinium specimen was analyzed and its mass[tex]M(t)[/tex].

          [tex]M(1) = (0.97)^{12} \ when\ t = 1 \\\\M(2) = (0.97)^{19} \ when \ t = 2 \\\\M(3) = (0.97)^{26}\ when \ t = 3[/tex]

  • Thus, The sample's mass is multiplied by a factor of [tex](0.97)^7=0.807[/tex] once a week.

Therefore, the final answer is "0.807".

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