Answer:
The rock is 3.75 billion years ago.
Explanation:
Given that:
Half life = 1.25 billion years
1 billion years = 10⁹ years
So,
Half life = 1.25 × 10⁹ years
![t_{1/2}=\frac {ln\ 2}{k}](https://tex.z-dn.net/?f=t_%7B1%2F2%7D%3D%5Cfrac%20%7Bln%5C%202%7D%7Bk%7D)
Where, k is rate constant
So,
![k=\frac {ln\ 2}{t_{1/2}}](https://tex.z-dn.net/?f=k%3D%5Cfrac%20%7Bln%5C%202%7D%7Bt_%7B1%2F2%7D%7D)
![k=\frac {ln\ 2}{1.25\times 10^9}\ year^{-1}](https://tex.z-dn.net/?f=k%3D%5Cfrac%20%7Bln%5C%202%7D%7B1.25%5Ctimes%2010%5E9%7D%5C%20year%5E%7B-1%7D)
The rate constant, k = 5.5452 × 10⁻¹⁰ years⁻¹
Initial amount [A₀] = 80 micrograms
Final amount
= 10 micrograms
Using integrated rate law for first order kinetics as:
![[A_t]=[A_0]e^{-kt}](https://tex.z-dn.net/?f=%5BA_t%5D%3D%5BA_0%5De%5E%7B-kt%7D)
So,
![10=80\times e^{-5.5452\times 10^{-10}\times t}](https://tex.z-dn.net/?f=10%3D80%5Ctimes%20e%5E%7B-5.5452%5Ctimes%2010%5E%7B-10%7D%5Ctimes%20t%7D)
![80e^{-5.5452\times \:10^{-10}x}=10](https://tex.z-dn.net/?f=80e%5E%7B-5.5452%5Ctimes%20%5C%3A10%5E%7B-10%7Dx%7D%3D10)
![\frac{80e^{-5.5452\times \:10^{-10}x}}{80}=\frac{10}{80}](https://tex.z-dn.net/?f=%5Cfrac%7B80e%5E%7B-5.5452%5Ctimes%20%5C%3A10%5E%7B-10%7Dx%7D%7D%7B80%7D%3D%5Cfrac%7B10%7D%7B80%7D)
![\ln \left(e^{-5.5452\times \:10^{-10}x}\right)=\ln \left(\frac{1}{8}\right)](https://tex.z-dn.net/?f=%5Cln%20%5Cleft%28e%5E%7B-5.5452%5Ctimes%20%5C%3A10%5E%7B-10%7Dx%7D%5Cright%29%3D%5Cln%20%5Cleft%28%5Cfrac%7B1%7D%7B8%7D%5Cright%29)
![x=\frac{10^{10}\times \:3\ln \left(2\right)}{5.5452}=3.75\times 10^9](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B10%5E%7B10%7D%5Ctimes%20%5C%3A3%5Cln%20%5Cleft%282%5Cright%29%7D%7B5.5452%7D%3D3.75%5Ctimes%2010%5E9)
So,
<u>The rock is 3.75 billion years ago.</u>
1. The answer is: Land
Land factor of production includes all form of natural resources that play a certain role in company's operation.
Answer B and D are wrong because they're basically the same and option C is wrong because physical capital only includes things that could be see and felt.
2. The answer is: C. democratic socialism
Democratic socialism is operated with the combination of both capitalism and socialism.
In democratic socialism, the economy is still operates based on free market system, but the government plays a larger role in welfare distribution by creating higher income taxation.<span />
I cant find nothing with the answers but i have the choices redistribution of wealth innocence until proven guilty freedom of worship equality before the law
i believe its the last one but not 100% sure
The author of your text states that the most age-segregated social institution in our society is a four-year college.
Even as changing demographics make this educational paradigm outmoded, universities are among the most age-segregated social institution, catering mostly to young people in their late teens and early 20s. Social Institutions are structured patterns of ideas and behavior that are oriented on fundamental social needs.
Social Institutions are interconnected systems of social roles and social norms that are established to fulfill a vital social need or social function. That was all altered by the Industrial Revolution. The young and the old could not work in factories because they were too risky; only people in their middle years did so. Pediatrics and gerontology are emerging fields in healthcare. People started to gradually separate by age.
To know more about Social Institutions refer to: brainly.com/question/9793095
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Women are likely to experience domestic abuse in a relationship,around 85% in comparison to a males 15%.Around 1 in 5 women suffer physical violence from their partner.