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frutty [35]
3 years ago
9

8. The triangles below are similar. State the following:

Mathematics
1 answer:
andreev551 [17]3 years ago
3 0
1. Similarity ratio: ΔMON : ΔJOK = 4 : 3

2. Theorem to justify similarity: SAS.
.. MO = 4/3 JO
.. ∠O = ∠O
.. NO = 4/3 KO

3. Similarity statement: ΔMON ~ ΔJOK by SAS.
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Answer:

P(t) = 5100e^{0.0039t}

Step-by-step explanation:

The exponential model for the population in t years after 2013 is given by:

P(t) = P(0)e^{rt}

In which P(0) is the population in 2013 and r is the growth rate.

In 2013, the moose population in a park was measured to be 5,100

This means that P(0) = 5100

So

P(t) = 5100e^{rt}

By 2018, the population was measured again to be 5,200.

2018 is 2018-2013 = 5 years after 2013.

So this means that P(5) = 5200.

We use this to find r.

P(t) = 5100e^{rt}

5200 = 5100e^{5r}

e^{5r} = \frac{52}{51}

\ln{e^{5r}} = \ln{\frac{52}{51}}

5r = \ln{\frac{52}{51}}

r = \frac{\ln{\frac{52}{51}}}{5}

r = 0.0039

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P(t) = 5100e^{0.0039t}

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Answer:

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Step-by-step explanation:

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