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1 year ago

The paintings are approximately blank years old round to the nearest integer.

Mathematics

1 answer:

ExtremeBDS [4]1 year ago

5 0

Answer:

16,249 years old

Explanation:

The exponential decay model for carbon-14 is given below:

$A=A_0e^{-0.000121t}$

The paint contained 14% of the original carbon-14.

• A=14% = 0.14

• Ao = 100% = 1

$\begin{gathered} 0.14=e^{-0.000121t} \\ \text{ Take the ln of both sides} \\ ln(0.14)=ln(e^{-0.000121t}) \\ ln(0.14)=-0.000121t \\ \text{ Divide both sides by -0.000121} \\ t=\frac{ln(0.14)}{-0.000121} \\ t=16248.9 \\ t\approx16,249 \end{gathered}$

The paintings are approximately 16,249 years old.

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Explanation:

We set up a cosine ratio, since we want to connect the adjacent and hypotenuse. Then we'll use the inverse cosine, which is also known as arccosine, to isolate the angle value.

This is what your steps could look like:

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2 years ago

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2 years ago

A rectangular billboard image is 5 ft wide and 4 ft high. If the available billboard space is 25 ft by 15 ft, what are the dimen

Lapatulllka [165]

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Step-by-step explanation:

The dimensions of the billboard are 25 ft by 15 ft.

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3 years ago

The longer leg of a right triangle is 4 more than the short leg. The hypotenuse is eight less than the sum of the 2 legs.

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Answer:

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3 years ago

9. Water is added to two containers for 16 minutes. The equations below model the ounces of

Vladimir [108]

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<u>Step-by-step explanation:</u>

The equations below model the ounces of water, y, in each container after x minutes.

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Now put everything on the left .

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Add the like terms together to further reduce the equation

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Factorizing the equation to find the roots of the equation.

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