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2 years ago

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The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had los

t 70.3% of their carbon-14. How old were the bones at the time they were discovered?

1 answer:

Gnesinka [82]2 years ago

6 0

The bones at the time they were discovered when the radioactive element carbon-14 has a half-life of total 5750 years are 10062.5-year-old.

<h3>What is half-lives?</h3>

Half lives is the time interval which is need to decay the atomic nuclei of a radioactive sample.

There is a scientist who determined that the bones from a mastodon had lost 70.3% of their carbon-14. Thus, the fraction remaining is,

f=1-(70.3/100)=1-0.703

f=1-(70.3/100)=0.297

Now the fraction remaining can be given as,

f=(1/2)ⁿ

Here, n is the half life elapsed. Put the value of fraction remaining.

0.297=(1/2)ⁿ

n=1.75

The radioactive element carbon-14 has a half-life of total 5750 years. Thus,

Years=1.75*5750

Years=10062.5

Thus, the bones at the time they were discovered when the radioactive element carbon-14 has a half-life of total 5750 years are 10062.5-year-old.

Learn more about the half lives here;

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AlladinOne [14]

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Step-by-step explanation:

Step 1 :

Given

PR = 3x - 0.6

OP = x + 0.1

OR = x + 2.4

Also the 2 sides OR and PR are said to be equal.

So we have OR = PR

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Step 2 :

we have ,

PR = 3x - 0.6 = 3(3) - 0.6 = 8.4

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3 years ago

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padilas [110]

<u>Unit rate 4:</u>

The table

d n

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and

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<u>Unit rate 16:</u>

Equation:

d = 16n

Step-by-step explanation:

The unit in the unit rate is dollars per unit ounces which means that the unit rate calculated by

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So,

The first option is the equation:

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The second option is the table:

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We can take any pair of values of d and n from the table to calculate the unit rate

So taking

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$Unit\ rate = \frac{d}{n}\\= \frac{1}{4}$

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Third option is the equation:

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dividing both sides by n

$\frac{n}{n} = \frac{4d}{n}\\1 = \frac{4d}{n}$

dividing both sides by 4

$\frac{1}{4} = \frac{4d}{4n}\\\frac{d}{n} = \frac{1}{4}$

the unit rate is 1/4 dollars per ounce

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d n

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We will take any pair of d and n to find the unit rate

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Taking

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The unit rate is 4 dollars per unit ounce.

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3 years ago

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likoan [24]

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Explanation:

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We need to rewrite the expression in the form of $q(x)+\frac{r(x)}{b(x)}$

Simplifying the expression, we get,

$\frac{2 x^{2}+8 x+5x+26}{x+4}$

Separating the fractions, we have,

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Now, we shall further simplify the term $\frac{5 x+26}{x+4}$ , we get,

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$\frac{5 x+26}{x+4}=5+\frac{6}{x+4}$

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3 years ago