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The volume of the cylinder is the amount of fruit juice it can contain.

The relationship between the volume and the surface area is:

[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]

The given parameter is:

[tex]\mathbf{V = 0.946}[/tex]

The volume of a cylinder is calculated as:

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

Make h the subject

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

The surface area (A) of a cylinder is:

[tex]\mathbf{A = \pi r^2 + \pi rh}[/tex]

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

[tex]\mathbf{A = \pi r^2 + \pi r \times \frac{V}{\pi r^2}}[/tex]

[tex]\mathbf{A = \pi r^2 + \frac{V}{r}}[/tex]

Differentiate

[tex]\mathbf{A' = 2\pi r - Vr^{-2}}[/tex]

Set to 0

[tex]\mathbf{2\pi r - Vr^{-2} = 0}[/tex]

Rewrite as:

[tex]\mathbf{ 2\pi r = Vr^{-2}}[/tex]

Multiply through by r^2

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

Solve for r

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

[tex]\mathbf{A = \pi r^2 + \frac{0.946}{r}}[/tex]

So, we have:

[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]

Hence, the relationship between the volume and the surface area is:

[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]

Read more about surface areas and volumes at:

https://brainly.com/question/3628550

Answer:

irrational

Step-by-step explanation:

irrational. An irration number can not be expressed as a fraction or a decimal. This can not because this number goes on forever and it will never end, and you can write a never ending number as a fraction or a decimal. here is a tip to remember if a number never end like pi then it is irrational,

Answer:

what type of help......

Answer:

Therefore, the relationship given in the table is proportional. When we look at the above table when x gets increased, y also gets increased, so it is direct proportion. Substitute 2 for x and 1 for y. So, the constant of proportionality is 1/2.

Answer:

Video game- 25

Bike riding - 18

Subtract them and you will get the answer.

= 7

Answer:

See below:

Step-by-step explanation:

We can use the Pythagorean Theorum to find out the missing side because we have a 90 degree right angle and 2 sides already given to us.

The Pythagorean Theorem states that a^2 + b^2 = c^2

a in this case would be the shortest side,

b in this case would be the 2nd longest side,

c is the hypotenuse.

[tex]a^{2} + b^{2}= c^{2} \\a^{2} + 15^{2} = 17^{2}[/tex]

If we solve this, we get 8!

Cheers!

Answer:

Step-by-step explanation:

pues supongo que tuviste que traducirlo y no te sirvio de nada la respuesta pero no se nada B 5-8 esa creo yo la verdad

Answer:

By saying "paying the same rate"

I believe you want to know for example when two people are buying a product how to know if they are paying the same amount.

If so then there are a couple of factors at play.

First of all you need to identify the GDP of the product and the amount of tax/VAT which if calculated properly may help you tell if they are paying the same amount or not.

Answer:

The relation is not a function.

Step-by-step explanation:

A function is a relation in which no two ordered pairs have the same input  and different outputs. Whenever you're trying to determine whether a given relation is a function, observe whether each input corresponds with exactly one output.

In this case, the answer is no.  The input value of 10 corresponds with two output values, 4 and 20.  It only takes one input value to associate with more than one output value to be invalid as a function.

Therefore, the given relation is not a function.

Answer:

short answer Yes and No

Step-by-step explanation:

long answer

let's say he drives to and from work 5 days a week that's 110 hours driving to and from work. But let's say he only drives to work and from work 2 days a week that only 44 hours driving to and from work. But now let's say he only drives 2 days a week but has to keep driving to and back from work because he forgets something at his house or at work and say he hasto drive and extra 77 hours because he forgot something that's now 99 hours he drove to and from work but only worked 2 days out of the week

Hope this helped :)

Answer:

B.

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

Answer:

30m

Step-by-step explanation:

If 1=5

Then

6=?

6÷1×5=30m

4, -1/4 -1,

we can do this simply by

(y2-y1)/(x2-x1)

and simplifying

Answer:

thank you for points....

Answer:

just add 1/6 and 2/3 to 650

Step-by-step explanation:

Answer:

It is a proper fraction so it cannot be written as a mixed number.

Step-by-step explanation:

Answer:

Answer:

8% is the answer

Answer:

8%

Step-by-step explanation:

Answer:

He has $2.02

Step-by-step explanation:

You answered the question in the first sentance.

49+(-29)-3.Answer:

The answer is -80

Step-by-step explanation:

1. What I did first was plug in -7 into "x", so then your  expression is[tex](-7^{2} )+4*(-7)-3[/tex]

2. Then you multiply 7 two times and get - 49... So then you have -49+4(-7)-3

3. Then you multiply the 4 and -7 and get -29... So now you have -49+(-29)-3

4. Then you add -49 and -29. but keep the negative and get -77... so now you have -77-3

5. Then you add -77-3 but keep the negetive and get -80.

I hope this helps... have a wonderful day.

Answer:

c<$12

Step-by-step explanation:

$26-$14>c

$12>c

c<$12

Answer:

14 + c ≤ 26

Step-by-step explanation:

Since Tarek can spend at most $26, then the symbol to represent this relationship/inequality is ≤ (less than or equal to). He's already spent $14, so 14 plus an additional amount should be less than or equal to 26!

Answer:

40% of 800 is 320

Step-by-step explanation:

0.40×800=320

a) 314.285728572857.......

b) i think 5.4 boxes

c) its an under estimate cuz actual value is more than 5

Step-by-step explanation:

a) To find the area of her garden, you need to know the area of a circle: πr²

diameter = 20m

radius = 10m

3.14 × 10² = 314m²

b) If 1 box covers 58m², then we need to work out how many 58m² can fit into her garden, but because its an estimate we round the numbers to 1 significant figure

314 ÷ 58 ≈ 300 ÷ 60 = 5

c) The answer is an underestimate because the actual value is 5.4137...

314 ÷ 58 = 5.4137..

Answer:-

900

Verification:-

[tex]\\ \sf\longmapsto \dfrac{900}{5}=180[/tex]

[tex]\\ \sf\longmapsto \dfrac{900}{10}=90[/tex]

[tex]\\ \sf\longmapsto \dfrac{900}{15}=6[/tex]

Answer:

a) 100

→ [tex]\frac{100}{5}[/tex] = 20

→ [tex]\frac{100}{10}[/tex] = 10

→ [tex]\frac{100}{15}[/tex] = 6⅔

100 is not divisible by 15

b) 625

→ [tex]\frac{625}{5}[/tex] = 125

→ [tex]\frac{625}{10}[/tex] = 62.5

→ [tex]\frac{625}{15}[/tex] = 41.6

625 is not divisible by 10 and 15.

c) 900

→ [tex]\frac{900}{5}[/tex] = 180

→ [tex]\frac{900}{10}[/tex] = 90

→ [tex]\frac{900}{15}[/tex] = 60

900 is the correct answer.

d) 225

→ [tex]\frac{225}{5}[/tex] = 45

→ [tex]\frac{225}{10}[/tex] = 22.5

→ [tex]\frac{225}{15}[/tex] = 15

225 is not divisible by 15

900 is the correct answer.

Answer:

Yes.

Step-by-step explanation:

By looking at the numbers of 35 3/4 inches and 5 7/8 inches, you already know that 35 ÷ 5 is 7. Holly might need extra space in between the postcards, which is perfect since she has the leftover fractions, that equal more than 1.

-kiniwih426

Length of board=35 3/4=143/4in

Length of postcard=5 7/8=47/8in

Total postcards

. [tex]\\ \sf\longmapsto \dfrac{143}{8}\div \dfrac{47}{8}[/tex]

[tex]\\ \sf\longmapsto \dfrac{143}{8}\times \dfrac{8}{47}[/tex]

[tex]\\ \sf\longmapsto \dfrac{143}{47}[/tex]

[tex]\\ \sf\longmapsto 3(Approx)[/tex]

No not best estimated option

Answer: The Inverse variation

Step-by-step explanation:

The phrase “ y varies inversely as x” or “ y is inversely proportional to x” means that as x gets bigger, y gets smaller, or vice versa. This concept is translated in two ways. yx = k for some constant k, called the constant of proportionality.

Answer:

1st option

y=-3/8x+3

Answer:

9.25, 83^1/2, 8.7, 72^1/2, 2 From greatest to least

2, 72^1/2, 8.7, 83^1/2, 9.25 from least to greatest

Step-by-step explanation:

Answer:la cantidad de invitados y la cantidad de mesas que no nos dio por favor agréguelo para que pueda ayudarlo :))

Step-by-step explanation: