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Alex787 [66]
4 years ago
8

An anthropologist finds bone that her instruments measure it as 0.717% of the amount of carbon-14 the bones would have contained

when the person was alive. How long ago did the person die? The half life of carbon 14 is 5,730 years. Round your answer to the nearest thousand .
****PLEASE HELP****
Mathematics
1 answer:
ExtremeBDS [4]4 years ago
3 0
The relationship for radioactive decay is given by:

N(t) = N₀ * exp(-kt), where k is the decay constant.

We may substitute k using the equation:
k = 0.693 / t₀.₅, where t₀.₅ is the half life of the substance

The equation becomes:

N(t) = N₀ * exp(-0.693t / t₀.₅)

The ratio of N(t) : N₀ is 0.717%, or 0.00717. Using this

0.00717 = exp(-0.693t / 5,730)

0.693t = 28,294
t = 40,828.3

The person was alive almost 41,000 years ago.
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Answer:

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Step-by-step explanation:

Since the slope of parallel line are same.

So, we can easily use formula,

y - y₁ = m ( x ₋ x₁)

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and m is a slope of line passing through (x₁, y₁).

and since the slope of parallel lines are same, so here we use slope of parallel line for calculation.

and, Slope = m = \dfrac{y_{b}-y_{a}}{x_{b}-x_{a}}

here, (xₐ, yₐ) = (2, 7)

and, (y_{a},y_{b}) = (1, 5 )

⇒ m = \dfrac{5-7}{1-2}

⇒ m = 2

Putting all values above formula. We get,

y - 9 = 2 ( x ₋ 8)

⇒ y - 9 = 2x - 16

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3 years ago
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We can solve this questions by trying option verification.

We observe that 0 is common among all the options so 0 has to be a zero of the function.

when x=1

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Since 1 is not there is option 2 and 3, hence our answer is either option 1 or 4

when x=2

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Answer:

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Step-by-step explanation:

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