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soldier1979 [14.2K]
3 years ago
15

Need answer has soon has possible

Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
4 0

Answer:

Step-by-step explanation:

charle [14.2K]3 years ago
4 0
Answer
1. +0.4
2. -0.4
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What are the dimensions of the lightest​ open-top right circular cylindrical can that will hold a volume of 2197 cm cubed​?
Zarrin [17]

Answer:

  radius = height ≈ 8.88 cm

Step-by-step explanation:

If the weight is proportional to the surface area, then we need to find the minimum surface area for the given volume.

The volume of the can is given by ...

  V = πr²h . . . . . . for radius r and height h

The surface area includes that of the bottom and the sides:

  SA = πr² +2πrh

Solving the first equation for h, we can write the second equation as ...

  SA = πr² +2πr(V/(πr²)) = πr² +2V/r

__

The minimum area for the volume will be found where the derivative is zero.

  d(SA)/dr = 2πr -2V/r² = 0

  πr³ = V . . . . . multiply by r²/2 and add V

Then the can radius is ...

  r = ∛(V/π)

and the height is ...

  h = V/(π(V/π)^(2/3)) = ∛(V/π) = r

__

For the given volume, the dimensions are ...

  r = h = ∛(2197/π) ≈ 8.8762 cm

The lightest can with that volume has a radius and height of about 8.88 cm.

_____

<em>Comment on cylinder aspect ratio</em>

You may notice that the lateral area is equal to twice the bottom area for this cylinder. If the can had a top, the minimum weight would be such that the lateral area is twice the total of top and bottom area. In that case, the height is equal to the diameter, not the radius.

4 0
3 years ago
A bonus activity in a popular video game allows the gamer to choose from several boxes to aquire a rare and useful item. The pro
sergiy2304 [10]

Answer: the standard deviation is 2.4

Step-by-step explanation:

The formula for standard deviation is expressed as

s = √npq

Where

p = probability of success

q = probability of failure

n = number of samples

From the information given,

The probability of success, p is given as 0.2. It means that the probability of failure, q will be 1 - p = 1 - 0.2 = 0.8

There were 35 attempts. This means that total number of samples, n is 35

The standard deviation becomes

√35×0.2×0.8 = √5.6 = 2.366

Approximately 2.4

8 0
3 years ago
a video game enthusiast saved $750 to spend on a video game player and games. The player costs $400. the games cost $49 each. at
Naya [18.7K]
The answer is you could by 6 games. mostly because you would have 10 dollors left . so now you can add me as a friend my name is angel1600 yessss.
6 0
3 years ago
Read 2 more answers
2x - 3y = 8 // <br><br> Find y
konstantin123 [22]

Answer:

y = -\frac{2}{3} x - \frac{8}{3}

Step-by-step explanation:

2x - 3y = 8\\

Isolate y

-3y = 8-2x\\-3y = -2x+8

Divide both sides of the equation by -3

\frac{-3y}{-3} = \frac{2x}{-3} +\frac{8}{-3} \\\\y = -\frac{2}{3} x - \frac{8}{3}

7 0
3 years ago
Gabriella and her children went into a restaurant where they sell hotdogs for $4 each and tacos for $2 each. Gabriella has $30 t
Lorico [155]

A possible solution to the inequality is 2 hotdogs and 8 tacos.

Let x represents the number of hotdogs purchased and y represents the number of tacos purchased.

Gabriella has $30 to spend and must buy a minimum of 9 hotdogs and tacos altogether.

Hence:

4x + 2y ≤ 30    (1)

x + y ≥ 9      (2)

Also:

x ≥ 2   (3)

A possible solution to the inequality is 2 hotdogs and 8 tacos.

Find out more on inequality at: brainly.com/question/241541

6 0
3 years ago
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