2 years ago

Algebra Functions and Data Analysis

Mathematics

1 answer:

-Dominant- [34]2 years ago

8 0

Hello there!

The correct answer is option C (-∞,10)

Best of luck with your study!

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rehistoric cave paintings were discovered in a cave in France. The paint contained 34 % of the original carbon-14. Use the expo

Paladinen [302]

Answer:

Therefore the age of paint is 8915.78 years.

Step-by-step explanation:

Given that, the paint contain 34 % of the original carbon-14.

The exponential decay model for carbon-14 is

$A=A_0e^{-0.000121t}$

A= Remaining amount of carbon.

$A_0$ = initial amount of carbon.

Here A= 34% of $A_0$ $=\frac{34}{100}A_0$

$\therefore \frac{34}{100}A_0=A_0e^{-0.000121t}$

$\Rightarrow \frac{34}{100}=e^{-0.000121t}$

Taking ln both sides

$\Rightarrow ln|\frac{34}{100}|=ln|e^{-0.000121t}|$

$\Rightarrow ln|\frac{34}{100}|={-0.000121t$

$\Rightarrow t=\frac{ln|\frac{34}{100}|}{-0.000121}$

$\Rightarrow t= 8915.78$

Therefore the age of paint is 8915.78 years.

7 0

2 years ago

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omeli [17]

-3x-3=3x-9

-3x(-3+9)=3x(-9+9)

(-3x+3x)+6=(3x+3x)

6/6=6x/6

x=1

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Answer:

Step-by-step explanation:

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I believe the equation would be 765 -8t = 421. Then you would solve for t and get 43 seconds. I hope this helps!! :)

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The answer is :
n = 6

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