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notsponge [240]
3 years ago
14

Help help legit answers only

Mathematics
2 answers:
Ne4ueva [31]3 years ago
6 0

Answer:

x ≈ 46.7°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin x = \frac{opposite}{hypotenuse} = \frac{OP}{NP} = \frac{4}{5.5} , then

x = sin^{-1} (\frac{4}{5.5} ) ≈ 46.7° ( to the nearest tenth )

gladu [14]3 years ago
4 0
Here’s the answer and explanation

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The size P of a small herbivore population at time t (in years) obeys the function P(t) = 1000e0-16t if they have enough food an
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Answer:

After 9 years, the population reach 4000.

Step-by-step explanation:

The given function P(t) represents the size of a small herbivore population at time t (in years).

P(t)=1000e^{0.16t}

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Substitute P(t)=4000 in the above function.

4000=1000e^{0.16t}

Divide both sides by 1000.

4=e^{0.16t}

Taking ln on both sides.

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1.3863=0.16t                 [\because \ln e^x=x]

Divide both sides by 0.16.

\dfrac{1.3863}{0.16}=t

8.664375=t

We need to find the number of years. So, round the answer to the next whole number.

t\approx 9

Therefore, after 9 years, the population reach 4000.

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