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1 year ago

Will mark brainliest

Mathematics

1 answer:

faust18 [17]1 year ago

8 0

$x^3$ is strictly increasing on [0, 5], so

$\max\{x^3 \mid 0\le x\le5\} = 5^3 = 125$

and

$\min\{x^3 \mid 0 \le x\le5\} = 0^3 = 0$

so the integral is bounded between

$\displaystyle \boxed{0} \le \int_0^5x^3\,dx \le \boxed{125}$

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natka813 [3]

Answer:

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.

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3 years ago

Read 2 more answers

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Answer:

Step-by-step explanation:

We can test each pair making each ratio into its simplest form.

For A 2/3 is already in its simplest form and 9/15=3/5. they are not equivalent.

For B, 5/8 is already in its simplest form and 15/21=5/7. they are not equivalent.

For C, 3/12=1/4, and 6/18=1/3. They are not equivalent.

For D, 4/10=2/5, and 12/30=2/5. They are equivalent.

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1 year ago

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sergeinik [125]

Answer:

$\frac{9}{47}: 1$

Step-by-step explanation:

you can divide both sides by 2.35 to get the right side to be 1:

$4.5: 2.35\\\frac{9}{47}: 1$

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Step-by-step explanation:

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