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3 years ago

Plz help me well mark brainliest if correct

Mathematics

1 answer:

Firlakuza [10]3 years ago

3 0

Answer:

C.11

Step-by-step explanation:

yellow fur and green eyes =19 students

brown fur and brown eyes= 8 students

subtract them

19-8=11 students

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[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

3 years ago

What is the slope of the line between (3, −4) and (−2, 1)? (1 point)

stealth61 [152]

-1 will be your answer

rise over run
3-1 = 2
-4 + 1 = -3
2-1 = 1
-3 + 1 = -2

hope this helps

8 0

3 years ago

Find the sum of the series if n = 6, r = 1/4, a = 2.

emmasim [6.3K]

Given =

n=6,

r=1/4

a=2

Sn = a+ar+ar²+ar³+ar⁴+ar⁵= 2+0.5+0.125+0.03125+0.0078125+0.00195~ 2.67

4 0

3 years ago

Write an equation for the line parallel to the line 5/8x−7/6y =2 through the point (7,−1).

LiRa [457]

$y = - \frac{28}{48x - 15} - \frac{125}{321}$ is the answer.

Step-by-step explanation:

For this question,

• First, find the slope of the line parallel to the line 5/8x−7/6y=2 :-

$m = - \frac{28}{ - 15 + 48x}$

•Second, find the equation of the line,

$y = - \frac{28}{48x - 15} - \frac{125}{321}$

7 0

2 years ago

The opposite of the opposite of 17, or -(-17), is equivalent to which of the following?

kenny6666 [7]

Answer:

Step-by-step explanation:

-(-17)=-1*-1*17=1*17=17

6 0

3 years ago