The perimeter of the figure below, in inches.

Answer:

Para un vaso de [tex]V = 25\pi\,cm^{3}[/tex], las dimensiones del vaso son [tex]r \approx 2.321\,cm[/tex] y [tex]h \approx 4.642\,cm[/tex].

Para un vaso de [tex]V = 1000\,cm^{3}[/tex], las dimensiones del vaso son [tex]r \approx 5.419\,cm[/tex] y [tex]h \approx 10.839\,cm[/tex].

Step-by-step explanation:

El vaso se puede modelar como un cilindro recto. El enunciado pregunta por las dimensiones del vaso tal que su área superficial ([tex]A_{s}[/tex]), en centímetros cuadrados, sea mínima para el volumen dado ([tex]V[/tex]), en centímetros cúbicos. Las ecuaciones de volumen y área superficial son, respectivamente:

[tex]V = \pi\cdot r^{2}\cdot h[/tex] (1)

[tex]A_{s} = 2\pi\cdot r^{2} + 2\pi\cdot r\cdot h[/tex] (2)

De (1):

[tex]h = \frac{V}{\pi\cdot r^{2}}[/tex]

En (2):

[tex]A_{s} = 2\pi\cdot r^{2} + 2\pi\cdot \left(\frac{V}{\pi\cdot r} \right)[/tex]

[tex]A_{s} = 2\cdot \left(\pi\cdot r^{2}+V\cdot r^{-1} \right)[/tex]

Asumamos que [tex]V[/tex] es constante, la primera y segunda derivadas de la función son, respectivamente:

[tex]A'_{s} = 2\cdot (2\pi\cdot r -V\cdot r^{-2})[/tex]

[tex]A'_{s} = 4\pi\cdot r - 2\cdot V\cdot r^{-2}[/tex] (3)

[tex]A''_{s} = 4\pi + 4\cdot V \cdot r^{-3}[/tex] (4)

Si igualamos [tex]A'_{s}[/tex] a cero, entonces hallamos los siguientes puntos críticos:

[tex]4\pi\cdot r - 2\cdot V\cdot r^{-2} = 0[/tex]

[tex]4\pi\cdot r = 2\cdot V\cdot r^{-2}[/tex]

[tex]4\pi\cdot r^{3} = 2\cdot V[/tex]

[tex]r^{3} = \frac{V}{2\pi}[/tex]

[tex]r = \sqrt[3]{\frac{V}{2\pi} }[/tex] (5)

Ahora, si aplicamos este valor a (4), tenemos que:

[tex]A_{s}'' = 4\pi + \frac{4\cdot V}{\frac{V}{2\pi} }[/tex]

[tex]A''_{s} = 4\pi + 8\pi[/tex]

[tex]A_{s}'' = 12\pi[/tex] (6)

De acuerdo con este resultado, el valor crítico está asociado al área superficial mínima. Ahora, la altura se calcula a partir de (5) y (1):

[tex]h = \frac{V}{\pi\cdot \left(\frac{V}{2\pi} \right)^{2/3} }[/tex]

[tex]h = \frac{2^{2/3}\cdot \pi^{2/3}\cdot V}{\pi\cdot V^{2/3}}[/tex]

[tex]h = \frac{2^{2/3}\cdot V^{1/3}}{\pi^{1/3}}[/tex]

Si [tex]V = 25\pi\,cm^{3}[/tex], entonces las dimensiones del vaso son:

[tex]r = \sqrt[3]{\frac{25\pi\,cm^{3}}{2\pi} }[/tex]

[tex]r \approx 2.321\,cm[/tex]

[tex]h = \frac{2^{2/3}\cdot (25\pi\,cm^{3})^{1/3}}{\pi^{1/3}}[/tex]

[tex]h \approx 4.642\,cm[/tex]

Un litro equivale a 1000 centímetros cúbicos, las dimensiones del vaso son:

[tex]r = \sqrt[3]{\frac{1000\,cm^{3}}{2\pi} }[/tex]

[tex]r \approx 5.419\,cm[/tex]

[tex]h = \frac{2^{2/3}\cdot (1000\,cm^{3})^{1/3}}{\pi^{1/3}}[/tex]

[tex]h \approx 10.839\,cm[/tex]

Answer:

D   540

Step-by-step explanation:

5.4 * 10²

5.4 * 100

540

Answer:

1/18

Step-by-step explanation:

[tex]\frac{1}{9}[/tex]÷2

make 2 a fraction

[tex]\frac{1}{9}[/tex]÷[tex]\frac{2}{1}[/tex]

cross multiply

1*1

9*2

[tex]\frac{1*1}{9*2}[/tex]

[tex]\frac{1}{18}[/tex]

Answer:

Step-by-step explanation:

You always invert the second number in a division question and then multiply. This one is a little different. It has three levels. What do you do about that?

[tex]\frac{\frac{1}{9} }{\frac{2}{1} }[/tex]

Now you have a four level question which is handled the same way as all four level question.

Invert the bottom and multiply. Invert means turn upside down. So you turn the 2/1 upside down and you get 1/2

[tex]\frac{1}{9}*\frac{1}{2}[/tex]

What you get is 1/18 The green box with the question mark is a 1.

Answer:

The null hypothesis is [tex]H_0: \mu = X[/tex]

The alternate hypothesis is [tex]H_1: \mu \neq X[/tex]

Step-by-step explanation:

Mean of X in 1990, test if the mean duration has changed:

At the null hypothesis, we test if the mean duration is still X, that is:

[tex]H_0: \mu = X[/tex]

At the alternate hypothesis, we test if the mean duration has the changed, that is, if it is different of X. So

[tex]H_1: \mu \neq X[/tex]

============================================================

Work Shown:

Apply the tangent ratio. Make sure your calculator is in degree mode.

tan(angle) = opposite/adjacent

tan(B) = CD/BC

tan(39) = x/30

30*tan(39) = x

x = 30*tan(39)

x = 24.2935209958502

x = 24.3

Answer:

gallons: 14, 21, 28, 35

time: 2, 3, 4, 5

Step-by-step explanation:

Answer:

5/27

Step-by-step explanation:

Step-by-step explanation:

no sn as. kojsshsusishheidhsusjjsbsbshsbsjs7ehsjsnkosvsjsishshshsjdjjddyfygyvrcudjdhdudhsjsudhdjs

Answer:

A. 3/8*2=6/8

Step-by-step explanation:

Think about a whole number as (whole number)/1

(2/1)

Then multiply

3/8*2/1=6/8

Hope that helps!

Answer:

10x

Step-by-step explanation:

10x times itself is 100x^2

Hope this helps!

Answer: x= 17 I hope that helps you understand it Goodbye!

Step-by-step explanation:  

7(x-2)=5(x+4) So the first step is to Distribute meaning Multiply so 7(x-2 ) that would give you -14 that where I got that from and I just did 5(x+4)= 20 and bring the x down

1. 7x-14=5x+20 So, I just do the opposite of subtracting which is adding so, I'm going to add 14 to both sides

2. 7x=5x+20+14 = 5x+34

3. 7x= 5x+34 So, I'm going to do the opposite of adding now which is subtracting meaning I'm just going to subtract 5x from both sides

4. 7x-5x=34 So then I do 7x-5x=2x

5. 2x= 34 so. I just Divide 2 from both sides x=34/2= 17

So, your answer would be x=17 and yes you got to put the variable for your answer to be right you can't just put 17 it got to be x= 17 and variable is just letters in the equation don't let it confused you but that would be your answer x=17 And can you make me Brainliest Please  

Answer:

8

Step-by-step explanation:

X^2 -2x +5

3^2 - 2×3 + 5

9 - 6 + 5

14 - 6

8

Answer:

A.

Step-by-step explanation:

Since it says greater than, that means that it cannot be B or D. And ≥ means greater than or equal to and they don't state that in the problem. So the answer would be A.

I HOPE THIS HELPED! :)

Answer:

The probability is [tex]\frac{729}{100000}[/tex].

Step-by-step explanation:

probability of missing the bus = 1/10

Probability of catching the bus = 1 - 1/10 = 9 /10

So, the required probability is

[tex]\frac{9}{10}\times \frac {9}{10}\times \frac {1}{10}\times \frac {9}{10}\times \frac {1}{10}[/tex]

[tex]\frac{729}{100000}[/tex]

Answer:

Option B, Shows change over time

Step-by-step explanation:

Since the slope of a line graph could be found out by the formula;

Change y / Change in x...

This represents change over time

Hope this helps!

9514 1404 393

Answer:

  (x +1)^2 +(y -3)^2 = 4

Step-by-step explanation:

The equation of a circle centered at (h, k) with radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

The graphed circle is centered at (h, k) = (-1, 3), and has radius 2, so its equation is ...

  (x +1)^2 +(y -3)^2 = 4

Answer:

7) 6170

8) 70000

9) 7310000

10) 0.000000054

11) 0.0067

12) 959

Answer:

I think A and B

Step-by-step explanation:

• A statistical question is a question that has more than one possible answer ( and can be answered by collecting data) where there will be variability in the data. for instance an example would be " How old are the students in this room?"

• However a non statical question has only one answer for instance "How old are you?"

both a and b dont have specific answers because it's not talking about a specific high school students or a specific soccer team. i would guess those are correct, but using the information from above you can also see what you think! hope this helps :)

Answer:

the answer would be 128cm³

Step-by-step explanation:

have a great rest of ur day

Answer:

96cm

Step-by-step explanation:

Answer:

use a calculator

Step-by-step explanation:

hope this helps

Answer:

DIBF

Step-by-step explanation:

I'm pretty sure it's that

Answer:

Value of the test statistic for this problem = -3.74

Step-by-step explanation:

Here

the sample size n = 1263

and the x = 565

So, the p' -value = 565/1263 = 0.4473

As per the test statistics formula, z value will be evaluated

z = (0.4473-p)/sqrt {p(1-p)/n}

Let us say that p = 0.5

Substituting the given value in above equation, we get -

z = (0.4473-0.5)/sqrt {0.5(1-0.5)/1263}

z = -3.74

The test statistic of the question is; z = -3.74

We are given;

Sample size; n = 1263

Number of people that said yes; x = 565

Sample proportion is; p'= 565/1263 = 0.4473

Formula for the test statistic of proportion is;

z = (p' - p)/(√(p(1 - p)/n)

We will assume that population proportion p = 0.5. Thus;

z = (0.4473 - 0.5)/(√(0.5(1 - 0.5)/1263)

z = -3.74

Read more about test statistic at; https://brainly.com/question/4621112

Answer:

divided both sides of the equation by 3

Step-by-step explanation:

Answer:

The answer for this question is 42

Answer:

I understand what you wrote as 18 + M = y. We don't know what M and y are. They are variables. When you add M to 18, it is equal to a value y.

I hope this makes sense. This is the foundation of algebraic thinking.

Step-by-step explanation:

5+5-3= 7

!!!!!!!!!!!!!!!!!

Answer:

answer is 7 please give a brainliest please

Step-by-step explanation: