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2 years ago

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,

$2(x+3)>6
\\
x+3 >3
\\
x>0$

Now we solve the second inequality

$2x+3\leq -7
\\
2x \leq -7-3
\\
2x\leq -10
\\
x\leq -5$

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