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Alex Ar [27]
3 years ago
13

What is 2/9+3/5 and does any one know how to do the work

Mathematics
2 answers:
Naya [18.7K]3 years ago
5 0
\frac{2}{9} + \frac{3}{5} =


<span>least common multiple (9,5) = 45
</span>
\frac{45\div9*2 + 45\div5*3}{45} =

\frac{10+27}{45} =

\boxed{\frac{37}{45} }
antoniya [11.8K]3 years ago
3 0
Add: 2/9 + 3/5 = 2 · 5/9 · 5 + 3 · 9/5 ·9  = 10/45 + 27/45 = 10 + 27/45 = 37/45
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vivado [14]

Using an exponential function, it is found that the Tequesta settlement is 1845 years old.

<h3>What is an exponential function?</h3>

The exponential equation for a decaying amount of a substance is given by:

A(t) = A(0)e^{-rt}

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

Researching on the internet, the half-life of carbon 14 is of 5,730 years, hence A(5730) = 0.5A(0), which we use to find r.

A(t) = A(0)e^{-rt}

0.5A(0) = A(0)e^{-5730r}

e^{-5730r} = 0.5

\ln{e^{-5730r}} = \ln{0.5}

5730r = -\ln{0.5}

r = -\frac{\ln{0.5}}{5730}

r = 0.00012096809

Hence, the equation is:

A(t) = A(0)e^{-0.00012096809t}

The wood chips were found to contain 80% of the atmospheric carbon-14, hence we have to find t for which A(t) = 0.8A(0).

A(t) = A(0)e^{-0.00012096809t}

0.8A(0) = A(0)e^{-0.00012096809t}

e^{-0.00012096809t} = 0.8

\ln{e^{-0.00012096809t}} = \ln{0.8}

-0.00012096809t = \ln{0.8}

t = -\frac{\ln{0.8}}{0.00012096809}

t = 1845

The Tequesta settlement is 1845 years old.

You can learn more about exponential functions at brainly.com/question/25537936

8 0
2 years ago
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