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3 years ago

What is the value of the product (3 - 21(3 + 21)? 2 05 O 9 + 4 9 - 41

Mathematics

1 answer:

olasank [31]3 years ago

8 0

Answer:

556

Step-by-step explanation:

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The height of the shortest man in history was 68 cm. This is 204 less than the height of the tallest man. how tall was the talle

Tanzania [10]

This means the tallest man was 204 cm taller than the shortest. You add 204 to 68.

68 + 204 = 272

The tallest man was 272 cm tall.

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3 years ago

Need help.

Zina [86]

$f(x)=5x+9\\
f'(x)=5$
The derivative is constant. It's equal 5 for any argument.

$f(x)=\dfrac{6}{x}\\
f'(x)=-\dfrac{6}{x^2}\\
f'(-2)=-\dfrac{6}{(-2)^2}=-\dfrac{6}{4}=-\dfrac{3}{2}$

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3 years ago

Susan used 1/2 gallons of gas on Sunday and 3 5/8 gallons of gas on Monday. How many more gallons of gas did she use on Monday?

Nookie1986 [14]

Answer: 3 and 1/8 more

Step-by-step explanation:

You can start by converting to the same fraction and making the second one improper, so 29/8 and 4/8. Subtract them to find the difference and you are left with 25/8 or 3 1/8 gallons.

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2 years ago

[25 POINTS] A cylinder has a volume of 400π cm3. Find the dimensions that minimize its surface area.

miss Akunina [59]

Answer:

r = 5.848cm, h = 11.696cm

Step-by-step explanation:

Surface area: $SA=2\pi rh+2\pi r^2$

Volume: $V=\pi r^2h$

Therefore, the height of a cylinder given its volume would be $h=\frac{V}{\pi r^2}$ , thus:

$SA=2\pi r(\frac{V}{\pi r^2})+2\pi r^2\\\\SA=\frac{2V}{r}+2\pi r^2\\\\SA=\frac{2(400\pi)}{r}+2\pi r^2\\\\SA=\frac{800\pi}{r}+2\pi r^2$

We now find the derivative of the surface area of the cylinder with respect to its radius and set it equal to 0, solving for the radius:

$\frac{d(SA)}{dr}=-\frac{800\pi}{r^2}+4\pi r$

$0=-\frac{800}{r^2}+4\pi r$

$0=800\pi+4\pi r^3$

$-800\pi=4\pi r^3$

$-200=r^3$

$r\approx5.848$

If $0If [tex]r>5.848$ , then the surface area of the cylinder increases

Therefore, the surface area is minimized when the radius is $r=5.848cm$ , making the minimum height $h=\frac{V}{\pi r^2}=\frac{400\pi}{\pi(5.848)^2}\approx11.696cm$ .

In conclusion, the 2nd option is correct.

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2 years ago

A user returned a tablet because of its battery life. Find the probability that it was returned after a year.

AysviL [449]

Answer:1/6

Step-by-step explanation:

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3 years ago

What is the value of the product (3 - 21(3 + 21)? 2 05 O 9 + 4 9 - 41​

What is the value of the product (3 - 21(3 + 21)? 2 05 O 9 + 4 9 - 41