Answer: 54678 years
Step-by-step explanation:
This can be solved by the following equation:
(1)
Where:
is the quantity of atoms of carbon-14 left after time 
is the initial quantity of atoms of C-14 in the mammal hide
is the rate constant for carbon-14 radioactive decay
is the time elapsed
On the other hand,
has a relation with the half life
of the C-14, which is
:
(2)
Substituting (2) in (1):
(3)
Applying natural logarithm on both sides of the equation:
(4)
(5)
Isolating
:
(6)
(7) This is the age of the mammal hide
Answer:
14x+y
Step-by-step explanation:
Simplify:
12x+2x+8y-7y Combine like terms
14x+y
Answer:
its 5'4
equals 60 inches
Step-by-step explanation:
well, as I said a while back, Heron's Area formula works for any triangle, so long we have all sides, and in this case we do, since it's not a right-triangle SOH CAH TOA won't work, so let's plug the values in Heron's
![\qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a = 12\\ b = 8\\ c = 6\\ s=\frac{12+8+6}{2}\\ \qquad 13 \end{cases} \\\\\\ A=\sqrt{13(13-12)(13-8)(13-6)} \implies A=\sqrt{13(1)(5)(7)} \\\\\\ A=\sqrt{455}\implies {\Large \begin{array}{llll} A\approx 21.33 \end{array}}~cm^2](https://tex.z-dn.net/?f=%5Cqquad%20%5Ctextit%7BHeron%27s%20area%20formula%7D%20%5C%5C%5C%5C%20A%3D%5Csqrt%7Bs%28s-a%29%28s-b%29%28s-c%29%7D%5Cqquad%20%5Cbegin%7Bcases%7D%20s%3D%5Cfrac%7Ba%2Bb%2Bc%7D%7B2%7D%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20a%20%3D%2012%5C%5C%20b%20%3D%208%5C%5C%20c%20%3D%206%5C%5C%20s%3D%5Cfrac%7B12%2B8%2B6%7D%7B2%7D%5C%5C%20%5Cqquad%2013%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5C%5C%20A%3D%5Csqrt%7B13%2813-12%29%2813-8%29%2813-6%29%7D%20%5Cimplies%20A%3D%5Csqrt%7B13%281%29%285%29%287%29%7D%20%5C%5C%5C%5C%5C%5C%20A%3D%5Csqrt%7B455%7D%5Cimplies%20%7B%5CLarge%20%5Cbegin%7Barray%7D%7Bllll%7D%20A%5Capprox%2021.33%20%5Cend%7Barray%7D%7D~cm%5E2)