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pogonyaev
3 years ago
15

Frank has a compass but no straightedge. Which of the following can Frank construct with just the compass?

Mathematics
2 answers:
I am Lyosha [343]3 years ago
4 0
D A circle because a compass only draw circles or half circles
Bezzdna [24]3 years ago
3 0

Answer:

(D) A circle

Step-by-step explanation:

The question says that Frank does not have a straightedge. All the options except for a circle have straight lines in them, which means that you need a straightedge to draw them. However, a circle does not require a straightedge since it has no straight lines. This shows that the only possible answer would be D (a circle).

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The population of a certain species of bird in a region after t years can be modeled by the function P(t)= 1620/1+1.15e^-0.042t
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Answer:

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Step-by-step explanation:

The function is  \frac{1620}{1+1.15e^{-0.042t}}

To find the maximum population, we need to set t towards infinity to get our answer.

So, we replace time with maximum (\infty). Let's check:

\frac{1620}{1+1.15e^{-0.042t}}\\=\frac{1620}{1+\frac{1.15}{e^{0.042t}}}\\=\frac{1620}{1+\frac{1.15}{e^{0.042(\infty)}}}\\=\frac{1620}{1+\frac{1.15}{\infty}}\\=\frac{1620}{1+0}\\=\frac{1620}{1}\\=1620

The population of birds approaches 1620 as t goes towards infinity. So we can say the max population of the species is 1620.

Correct answer is A

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Step-by-step explanation:

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