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erastova [34]
2 years ago
13

Which expression represents the statement "12 divided by 3, then add 5"?

Mathematics
2 answers:
Dovator [93]2 years ago
8 0
The answer is C. 12/3 +5
12/3= 4
4+5 =9
Sholpan [36]2 years ago
4 0
For the first question it would be,
C.


0.5 x 1.24 = 0.62
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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
2 years ago
Solve for x<br> 2(4x-3)-8=4+2 x ; x = 3?
frozen [14]

Answer:

x=3

Step-by-step explanation:

7 0
3 years ago
The pound has three kinds of dogs: pit bull, chihuahuas and mutts. All but 23 of the dogs are pit bull, all but 17 are chihuahua
Georgia [21]

Answer:

There are 68 dogs in the pound.

Step-by-step explanation:

Number of pit bull dogs in a pound = P = 23

Number of chihuahuas dogs in a pound = C = 17

Number of mutts dogs in a pound = M = 28

Total number of dogs in a pound = T

T = P+C+M=23+17+28=68

There are 68 dogs in the pound.

5 0
3 years ago
What’s the x and y intercepts of this equation: -3x-7y=84
Arlecino [84]

Answer:

The X and Y intercepts to the equation -3x - 7y = 84 is

x-intercept (s): (−28,0)

y-intercept (s): (0,−12)

Step-by-step explanation:

To find the x-intercept(s), substitute in 0 for y and solve for x

−3x−7⋅0=84

Solve the equation.

x=−28

x-intercept(s) in point form.

x-intercept (s): (−28,0)

To find the y-intercept(s), substitute in 0 for x and solve for y .

−3⋅0−7y=84

Solve the equation.

y=−12

y-intercept(s) in point form.

y-intercept (s): (0,−12)

Hope this helps.

4 0
3 years ago
What is the solution to the compound inequality in interval notation?
ohaa [14]

The given compound inequality is

2(x+3)>6 \ or \ 2x+3\leq  -7

First we solve the first inequality,

2(x+3)>6&#10;\\&#10;x+3 >3&#10;\\&#10;x>0

Now we solve the second inequality

2x+3\leq -7&#10;\\&#10;2x \leq  -7-3&#10;\\&#10;2x\leq  -10&#10;\\&#10;x\leq  -5

So we have

x > 0 \ or  \ x\leq  -5

So the required solution is

( - \infty,-5] \ or \ (0, \infty)

Correct option is A .

4 0
3 years ago
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