Mathematics: A piece of charcoal was unearthed at an archeological site and found to contain 10% of its original carbon-14. The half- life of carbon-14 is 5,730 years. Which equation can be solved to determine the age of the charcoal?

A piece of charcoal was unearthed at an archeological

Ответ:

abbygailgo674

02.02.2022

Mathematics

C. 0.10Ao=Aoe-0.000121t

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Got it right in edg

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Ответ:

serg42

21.05.2021

Mathematics

Check the picture below. So the bridge more or less looks like so.

since we know the vertex, we'll use that, and we also know a point on the parabola as well, namely (16,0).

$\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \stackrel{\textit{we'll use this one}}{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=8\\ k=2 \end{cases}\implies y=a(x-8)^2+2\qquad (16,0)~~ \begin{cases} x=16\\ y=0 \end{cases}$

$\bf 0=a(16-8)^2+2\implies -2 = a(8)^2\implies -2=64a \\\\\\ \cfrac{-2}{64}=a\implies \cfrac{-1}{32}=a \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y=-\cfrac{1}{32}(x-8)^2+2~\hfill$

The surface of a pedestrian bridge forms a parabola. let the surface at one side of the bridge be re

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A piece of charcoal was unearthed at an archeological site and found to contain 10% of its original carbon-14. The half- life of carbon-14 is 5,730 years. Which equation can be solved to determine the age of the charcoal?

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