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Elena-2011 [213]
3 years ago
7

Select the property of equality used to arrive at the conclusion.

Mathematics
1 answer:
Andre45 [30]3 years ago
3 0
It is the division property of equality. You divide by 5 each side of the equation to isolate x.
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The​ half-life of​ carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows only 66​% of the​ carbon-1
xz_007 [3.2K]

The tree died about 3357 years ago.

Explanation:

The half life of carbon - 14 is given by

A(t)=A(0)e^{-kt}

where A(t)=0.5

A(0)=1

t=5600

Substituting these values in the above equation, we get,

0.5=1e^{-5600k}

Taking In on both sides of the equation, we get,

   In(0.5)=-5600k

      \frac{In(0.5)}{-5600} =k

0.00012377=k

Since, only 66% of Carbon - 14 remains after the time T.

Thus, we have,

0.66=1e^{-kT}

Taking In on both sides of the equation, we get,

  In(0.66)=-0.00012377 \ T

\frac{In(0.66)}{-0.00012377} =  T

        3357=T

Thus, the tree died about 3357 years ago.

6 0
3 years ago
I don’t understand please help. WILL GIVE BRAINLY. Zoom in if you can’t see
elena-14-01-66 [18.8K]

Answer: Students prefer History more than English

Step-by-step explanation:

8 0
4 years ago
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Find the percent change:<br><br> $350 to $400
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Answer:

14.29% increase

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china receives a shipment of 125 dishes in 5 boxes, at this rate how many dishes will it receive in 15 boxes
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Simple....

in 5 boxes you have 125 dishes...how many per box?

125/5=25

So, how many dishes in 15 boxes?

25*15=375

This means that in 15 boxes there are 375 dishes.

Thus, your answer.
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3 years ago
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In a shipment of airplane parts, 5% are known to be defective. If 21 parts are found to be defective, how many parts are in the
horrorfan [7]

We can use ratios and the cross-multiply-divide to find this.



The ratio 21:5 is avaliable via the question. We then need to compare that to the ratio x:100, the 100 being the percent and the x being the number of airplane parts.



21/5 = x/100



We can then solve for x to find the number of airplane parts. First we multiply by 100 on both sides to get 2100/5 = x. Therefore x = 420 and there are 420 airplane parts.

7 0
3 years ago
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