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Varvara68 [4.7K]
3 years ago
14

_____ are defined as a cushion of extra resources that can be used with options-based planning to adapt to unanticipated changes

, problems, or opportunities.
Social Studies
1 answer:
Anastaziya [24]3 years ago
6 0

Answer:

Slack Resources

Explanation:

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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
attashe74 [19]

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>

8 0
3 years ago
1) Americans chose allegiances based on geography not ideology.
Vikki [24]

Answer:

1. Agree

2. Desagree

Explanation:

1. Americans chose loyalties based on geography, before starting civil war. Obviously, these alliances between states had an idology, which was intensified based on the region and the geographic position that they presented, therefore, alliances were created between southern states and northern states, which shared the same thoughts in relation to the slave system and the division of the national territory.

2. The Civil War did not end regional conflicts in America, on the contrary, the war created a strong disagreement and rejection of southern states in relation to northern states and vice versa. These conflicts have damaged social relations and reconstruction projects, in addition to delaying national unity.

3 0
3 years ago
The first civilizations of Mesoamerica did not use metal very often. when they did work with metal, what was it usually used for
alexandr1967 [171]
They were used as weapons for war and hunting.
8 0
3 years ago
Which of the following made the Fourteenth Amendment necessary?
AnnZ [28]

Answer:what are the questions?

Explanation:

6 0
3 years ago
How did the Texas War for Independence and the Mexican- American War help the United States achieve Manifest Destiny
Greeley [361]
The Texas Revolution led to Mexico's cessession from the region of Texas, while Mexico's defeat in the Mexican American war forced Mexico to recognize Texas as an American State. Both of these events helped the US achieve Manifest Destiny but making it that much easier for the Country to reach from coast to coast, which was the "destiny" in question during the 19th century.
4 0
4 years ago
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