Mathematics College

help me answer this question please​

Help Me Answer This Question Please

Answers

Answer 1

9514 1404 393

Answer:

  x = ∛4 ≈ 1.587 m

  y = (∛4)/2 ≈ 0.794 m

Step-by-step explanation:

Short answer:

An open-top box will use minimum material when it has the shape of half a cube. That is, the x-dimensions will be ...

  x = ∛(2·2 m³) = ∛4 m

The y-dimensions will be half that:

  y = x/2 = (∛4)/2 m

__

Long answer:

The volume is ...

  V = x^2·y

so the y-dimension is ...

  y = V/x^2

The area of the sides and bottom will be ...

  A = 4xy + x^2

  A = 4x(2/x^2) +x^2 = 8/x +x^2

The area is minimized when the derivative of this is zero.

  A' = 0 = -8/x^2 +2x

  x^3 = 4 . . . . . . . divide by 2 and rearrange

  x = ∛4 . . . . . . . . cube root

  y = 2/x^2 = 2∛4/4

  y = (∛4)/2

___

Additional comment

If you follow the numbers through, you see that the value under the cube-root radical is twice the volume. This is the result we used in the "short answer."

Related Questions

Ryan has 4 rap songs, 8 country songs, and 2 rock songs.  what is the probability of Ryan picking a rock song or a Pop song

Answers

Answer:

Step-by-step explanation:

Total songs = 8 + 4 + 2 = 14 songs

number of rock songs = 2

Number of rap songs = 4

Probability of rock songs = 2/14 = 1/7

Probability of rap songs = 4/14 = 2/7

Aiden calculated that their family used 20% of their monthly income for food, and 15% of the money spent on food was spent on snacks. If they spent $45 on snacks, what is their monthly income?

Answers

Answer:

There monthly income is 300$

I will give Brainly plzzz ASAP

Answers

Answer:

Im pretty sure the answer would be 6

Step-by-step explanation:

Just take 42 and divide by 7 to get x

Answer:

did you finish this already

Two accounts earn simple interest . The balance y in dollars in account A after x years can be modeled y = 20x + 400

Answers

Send me jelly please

I'll add a photo of the problem! ​

Answers

I’m pretty sure it is D ngl

please please help me i’ll give you brainliest

Answers

answer is D :)
hope it helps

can someone help me please.

don't send any link
or ill report you!!!​

Answers

Answer: 25 square units

You can divide the shape off into manageable chunks then multiply to find the answer!

How many 4 digit numbers are multiples of 8?

Answers

Answer:

The multiples of 8 are 8,16,24,32,40,48,56,64,72,80,88,96,104,112,120,128,136,144,152,160,168,176,184,192,200,208 and so on. Any number that can be denoted in the form 8n where n is a natural number is a multiple of 8.

Please help please help if you put a link I will report

Answers

Answer:

i think it is 13 per

pls mark branlyest

Step-by-step explanation:

Martha constructs the table below to show the relationship between her cell phone's age and the amount of time it takes to charge her phone battery. Which of the following describes the rate at which the time to charge the phone changes?
A. The time to charge the phone increases by 25 minutes with every 7.5-month increase in the phone's age.
B. The time to charge the phone increases by 15 minutes with every 7.5-month increase in the phone's age.
C. The time to charge the phone increases by 25 minutes with every 1-month increase in the phone's age.
D. The time to charge the phone increases by 15 minutes with every 2-month increase in the phone's age.

Answers

Answer:

D

Step-by-step explanation:

To find the rate of increase all you have to do is take one of the data sets to see that every two months its charge time increases by 15 minutes or 7.5 minutes every month.

Jayda is watching a movie that lasts 1 hour and 37 minutes. She has watched 52 minutes so far. How many minutes are left in the movie? *

Answers

Answer:

45 minutes

Step-by-step explanation:

97-52 = 45

which two quadrilaterals have 4 congruent sides

Answers

Answer:

rhombus and parallelogram .

Step-by-step explanation:

It’s a rhombus and parallelogram.

Hope this helps! :)

solve the rational equation
X+3/ 3x -2 - x-3/3x+2=176/9x^2-4

Answers

Answer:

8

i hope this will help you

What's a range? Please help me​

Answers

Step-by-step explanation:

the area of variation between one place of one point to another place of another point of cup is called range.

hope it is helpful to you

Which best describes the solutions to the system?

x + y=− 4
−2x − 2y =0


A one solution
B (0,0)
C no solution
D infinitely many

Answers

Answer:

A best descibes it as we can say its the only answer

Step-by-step explanation:

using symaltaneous equation is the only way to solve it

what is the lateral area of the cone? 10 yd and 12.1 yd

Answers

Answer:

The lateral area will be "381 yd²". A further solution is provided below.

Step-by-step explanation:

The given values are:

Radius of cone,

r = 10 yd

Height of cone,

L = 12.1 yd

As we know,

The lateral surface area of cone is:

=  [tex]\pi r L[/tex]

On substituting the values, we get

=  [tex]\frac{22}{7}\times 10\times 12.1[/tex]

=  [tex]\frac{22}{7}\times 121[/tex]

=  [tex]380.28 \ yd^2[/tex]

0r,

=  [tex]381 \ yd^2[/tex]

An international company has 22,900 employees and one country. If this represents 21.6% of the companies employees how many employees does it have in total? Round answer to the nearest whole number.

Answers

22900 / .216 = 106018.5185
answer is 106,019 employees

Help me I need to finish this today

Answers

Answer:

24 glasses

Step-by-step explanation:

Answer is D

1/8 x 24= 3

Which number is the additive inverse of
-472
-44
1
45

Answers

The additive inverse of a number ‘a’ is the number that, when added to ‘a’, yields zero. This number is also known as the opposite (number), sign change, and negation.

-472 would be 472

-44 would be 44

1 would be -1

45 would be -45

A line has a slope of 6 and a y-intercept of 9. What is its equation in slope-intercept
form?

Answers

answer: y=6x+9

explanation: y=mx+b

Answer:

y=6x+9

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

URGENT HELP Graph f(x) = 3|x - 5| + 1 (please put picture of the answer graphed)

Answers

Answer:

Step-by-step explanation:

I uploaded a picture of the graph, but you can go to the site, Desmos. Just plug in your equation, and you will get the equation graphed.

1) Red City is 6 cm away from Blue City on a map but the two cities are actually 240 miles
apart in real. What is the scale on the map?

Answers

You divide 240 miles by 6 cm so you can figure out how many miles are in each centimeter. So 240/6=40 miles. The scale is for every one centimeter, that is 40 miles.


4, 2, 1, 2, ...
O Arithmetic
O Geometric
O Neither

Answers

Answer:

Step-by-step explanation:

Neither...there is no common difference nor a cmon ratio do neither

Solve if you want cookie!

Answers

Step-by-step explanation:

[tex]y = 2x \: \: \: \: x + y = 6 \\ y = 2x \: \: \: \: x = 6 - y \\ y = 2(6 - y) \: \: \: \: x = 6 - y \\ 3y = 12 \: \: \: \: x = 6 - y \\ y = 4 \: \: \: \: x = 2[/tex]

Gimme tha cookie

what is 5 - 5 + 5 x 5 / 5
[tex]5 \times 5[/tex]
​

Answers

Answer:

The answer is 5

Step-by-step explanation:

The answer is 25

Brainlest and points !! Picture included

Answers

Itssssssss 30 have a nice day

PLEASE HELP ME TO SOLVE THIS QUESTION WITH STEP-BY-STEP. THANK YOU!!!​

Answers

Answer:

A) 12 thousand packets a day

B) 384 thousand Sen

Step-by-step explanation:

If the total is 72 thousand a week and the factory only operates 6 days, then you do 72 thousand / 6 to get 12 thousand, the packets made in one day.

To get b, all you have to do is do 32 Sen X 1w thousand to get the value of all the packets of chips

Chad wants to know which professional baseball player is most popular among the 300 students at his school. Which is the most representative and reasonable sample for him to survey?

Answers

Answer:

It could be to: collect data from a sample of every twentieth student who arrives at school one day


helppppppppppppppppppppppppp

Answers

Your answer is 40mm

3+12+12+13
=40

Answer:

The perimeter of this figure is 40 milimeters.

Step-by-step explanation:

Add all sides' lengths:

3+ 12 + 12+ 13 = 40

If the Volume of a Cylinder is 25*pi* and the radius is 4, what is the height "h"?
Round your answer to the nearest tenth if needed.

Answers

Answer:

The height of the cylinder is 0.497.

Step-by-step explanation:

Given that the Volume of a cylinder is 25 and the radius is 4, to determine what is the height of said figure, the following calculation must be performed, knowing that the volume of a cylinder is calculated using the following formula (3.14 x r^2 x h = X):

3.14 x (4x4) x h = 25

3.14 x 16 x h = 25

50.24 x h = 25

h = 25 / 50.24

h = 0.497

Therefore, the height of the cylinder is 0.497.

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