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tino4ka555 [31]
3 years ago
12

Autralia is the world's largest leading producer of

Social Studies
1 answer:
Schach [20]3 years ago
4 0
Australia is the leading producer of bauxite
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Suppose you find a rock that contains 10 micrograms of radioactive potassium-40, which has a half-life of 1.25 billion years. By
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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}

Where, k is rate constant

So,  

k=\frac {ln\ 2}{t_{1/2}}

k=\frac {ln\ 2}{1.25\times 10^9}\ year^{-1}

The rate constant, k = 5.5452 × 10⁻¹⁰ years⁻¹

Initial amount [A₀] = 80 micrograms

Final amount [A_t] = 10 micrograms

Using integrated rate law for first order kinetics as:

[A_t]=[A_0]e^{-kt}

So,  

10=80\times e^{-5.5452\times 10^{-10}\times t}

80e^{-5.5452\times \:10^{-10}x}=10

\frac{80e^{-5.5452\times \:10^{-10}x}}{80}=\frac{10}{80}

\ln \left(e^{-5.5452\times \:10^{-10}x}\right)=\ln \left(\frac{1}{8}\right)

x=\frac{10^{10}\times \:3\ln \left(2\right)}{5.5452}=3.75\times 10^9

So,

<u>The rock is 3.75 billion years ago.</u>

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Every time you go to the grocery store, you try to wait in the shortest line. but the lines always seem to be roughly the same l
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Every time you go to the grocery store, you try to wait in the shortest line. but the lines always seem to be roughly the same length. Everyone else is trying to choose the shortest line, too.

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The plains tend to be very easy for early settlements to bring about agriculture, mobility, and mild weather conditions that helps early civilization grow. The negative impact of most plains come from it's lack of ability to trade easily in later generations, without water access

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Vehicles equipped with a driver’s side airbag, do not sit closer than __ inches from the steering wheel.5
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