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Angelina_Jolie [31]
4 years ago
14

Which rationale best describes why the functions are inverses? The functions intersect each other The functions have the same ge

neral curve. The functions are reflections over the line y = x One function has an x- intercept and the other has a y-intercept
Mathematics
1 answer:
Ostrovityanka [42]4 years ago
5 0

Answer: it’s C on edge2020 (the functions are reflections over the line y= x

Step-by-step explanation:

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The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain after 2000 years?
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Answer:

167.27 mg.

Step-by-step explanation:

We have been given that the half-life of Radium-226 is 1590 years and a sample contains 400 mg.

We will use half life formula to solve our given problem.

N(t)=N_0*(\frac{1}{2})^{\frac{t}{t/2}, where N(t)= Final amount after t years, N_0= Original amount, t/2= half life in years.

Now let us substitute our given values in half-life formula.

N(2000)=400*(\frac{1}{2})^{\frac{2000}{1590}

N(2000)=400*(0.5)^{1.2578616352201258}    

N(2000)=400*0.4181633028874878239

N(2000)=167.26532115499512956\approx 167.27

Therefore, the remaining amount of Radium-226 after 2000 years will be 167.27 mg.

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