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Nikitich [7]
3 years ago
5

Which description tells the length of time it takes for a planet to revolve around the sun?

Geography
2 answers:
PtichkaEL [24]3 years ago
8 0
The answer to question 1 is a year
Dimas [21]3 years ago
8 0
1 is A
2 is B
3 is A
4 is D
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Which of the following statements describes a challenge that agriculture faces in the coming decade?
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In the following statements, a challenge that the agricultural faces in the coming decade would be B. Farmers in Africa must adopt new methods in order to meet their needs. The IAASTD would respond to the widespread realization about the technological achievements.
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3 years ago
Calculate the amount, in grams, of an original 300-gram sample of radioactive isotope Potassium-40 remaining after
Aleksandr [31]

Answer:

The current amount of the Potassium-40 sample is approximately 37.521 grams.

Explanation:

The amount of the sample of the radioactive isotope decays exponentially in time, the amount of mass of the sample as a function of time (m (t)), in grams, is described below:

m(t) = m_{o}\cdot e^{-\frac{t}{\tau} } (1)

Where:

m_{o} - Initial mass, in grams.

t - Time, in years.

\tau - Time constant, in years.

The time constant can be found from half life (t_{1/2}), in years, described in statement:

\tau = \frac{t_{1/2}}{\ln 2} (2)

If we know that m_{o} = 300\,g, t = 3.9\times 10^{9}\,yr and t_{1/2} = 1.3\times 10^{9}\,yr, then the current amount of the sample is:

\tau = \frac{1.3\times 10^{9}\,yr}{\ln 2}

\tau \approx 1.876\times 10^{9}\,yr

m = (300\,g)\cdot e^{-\frac{3.9\times 10^{9}\,yr}{1.876\times 10^{9}\,yr} }

m\approx  37.521\,g

The current amount of the Potassium-40 sample is approximately 37.521 grams.

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What political challenges face Russians and their officials?
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