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rosijanka [135]
3 years ago
15

21.2 is 54500 of what number?

Mathematics
1 answer:
bogdanovich [222]3 years ago
3 0
21.2 (21.2) is (=) 54500 (54500) of (times) what number (?)

21.2=54500 times ?
divide oth sides by 54500
21.2/54500=?
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Carbon-14 is a radioactive isotope that has a half-life of 5,730 years. Approximately how many years will it take for carbon-14
PilotLPTM [1.2K]

Answer:

<em>Carbon-14 will take 19,035 years to decay to 10 percent.</em>

Step-by-step explanation:

<u>Exponential Decay Function</u>

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay.

An exponential decay can be described by the following formula:

N(t)=N_{0}e^{-\lambda t}

Where:

No  = The quantity of the substance that will decay.

N(t) = The quantity that still remains and has not yet decayed after a time t

\lambda     = The decay constant.

One important parameter related to radioactive decay is the half-life:

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

If we know the value of the half-life, we can calculate the decay constant:

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

Carbon-14 has a half-life of 5,730 years, thus:

\displaystyle \lambda=\frac {\ln(2)}{ 5,730}

\lambda=0.00012097

The equation of the remaining quantity of Carbon-14 is:

N(t)=N_{0}e^{-0.00012097\cdot t}

We need to calculate the time required for the original amout to reach 10%, thus N(t)=0.10No

0.10N_o=N_{0}e^{-0.00012097\cdot t}

Simplifying:

0.10=e^{-0.00012097\cdot t}

Taking logarithms:

ln 0.10=-0.00012097\cdot t

Solving for t:

\displaystyle t=\frac{log 0.10}{-0.00012097}

t\approx 19,035\ years

Carbon-14 will take 19,035 years to decay to 10 percent.

6 0
3 years ago
Read 2 more answers
Pls need to know ASAP
zzz [600]

Answer:

-31

Step-by-step explanation:

-34 - -17 is actually -34 + 17, so you get -17. -17 - 14 = -31

3 0
3 years ago
2 plus 4 multiplied by negative 6 minus 3 multiplied by 5
Monica [59]

2\text{ + 4}\cdot(-6)\text{ - 3}\cdot5\text{ = 2 -24 - 15 = 2 - 39 = -37}

6 0
2 years ago
Which fraction is equivalent?<br> 1/6 5/30 6/30
gogolik [260]
1/6 and 5/30 are equivalent. They are equivalent because is you divide 5/30 by 5, you will get 1/6.
Hope this helps!
8 0
4 years ago
Read 2 more answers
A meteorologist reports that the ration of snowfall in January to total snowfall during the average winter is 2 to 5. If 34 inch
Zepler [3.9K]

Answer:

13.6 inches.

Step-by-step explanation:

First do 2/5 = x/34, then multiply 34 by 2 and you get 68, then 68 divided by 5 is 13.6!

Hope this helped!

4 0
3 years ago
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