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Bad White [126]
3 years ago
5

What is the correct transformation shown!?

Mathematics
1 answer:
rosijanka [135]3 years ago
8 0

Reflection over the x-axis.

The only reflection over the x-axis creates this particular result, because if the first image was transformed over the y-axis, then the blue image would be on the left and not above the first image.

Hope this helps :)

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Again set a proportion
x/4=35.25/1
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x=141
Therefore the boat traveled 141 kilometres.
The answer is C.
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10. A perfect circle measuring 38 feet across was discovered on Brickell Avenue in Miami in 1998. Known as the Miami Circle at B
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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