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3 years ago

Does anyone know f(-3)=

Mathematics

1 answer:

AURORKA [14]3 years ago

4 0

Answer:

Positive 1

Step-by-step explanation:

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UHHHHH I NEED HELP PLEASE

blondinia [14]

Answer:

Step-by-step explanation:

7 0

3 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.

3 0

2 years ago

4 4/8 + 3/4 what is the answer

Tema [17]

6 0

2 years ago

Read 2 more answers

Please help

Zanzabum

Answer:

The value of n = 12

Step-by-step explanation:

Given the points

(-4, n)

(2, 4n)

The slope formula

m = y₂-y₁ / x₂ - x₁

$\left(x_1,\:y_1\right)=\left(-4,\:n\right),\:\left(x_2,\:y_2\right)=\left(2,\:4n\right)$

$m=\frac{4n-n}{2-\left(-4\right)}$

$m=\frac{n}{2}$

Given that the slope = m = 6

Thus, substituting the value

6 = n/2

n = 6 × 2

= 12

Thus, the value of n = 12

5 0

2 years ago

Is the following statement true or false

Vlad1618 [11]

Answer:

Step-by-step explanation:

The answer is true because AB intersects with AC at point A

8 0

2 years ago

Read 2 more answers