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3 years ago

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Ryan grew up in a family of four boys. he and his brothers have never engaged in "acting out" behaviors, such as excessive drink

ing or drug use. however, now in their teens, they tend to be depressed and withdrawn from their peers. their parents are most likely ____.

1 answer:

JulijaS [17]3 years ago

7 0

Christian's or saved

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The united states abolished slavery by passing the 13th amendment in 1807. 1833. 1848. 1865.

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The correct answer is D.

The 13th amendment of the United States Constitution was ratified in 1865, after the American Civil War.

This amendment established the formal abolition of slavery and was approved by President Abraham Lincoln, who had started fighting slavery through the Emancipation Proclamation in 1963.

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Answer:<em> Data Protection Directive </em>

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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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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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