A rectangular box is designed to have a square base and an open top. The volume is to be 2048in.3

What is the minimum surface area that such a box can have?

Answers

Answer 1

Answer:

x=y=z in 3 dimensions. So, you have x2y=4=x3⟹x=y=3√4.

Step-by-step explanation:

Answer 2

Answer:

hi

Step-by-step explanation:

Let x = the length of the sides of the base and h = the height:

Volume = (area of base)(height)

V = x2h

2048 = x2h

2048/x2 = h

Surface Area = area of base + 4(area of vertical side)

SA = x2 + 4xh

Eliminate the h by using 2048/x2 = h:

SA = x2 + 4x(2048/x2)

SA = x2 + 8192 x-1

Take the derivative of SA wrt x, set it to zero, solve for x.  Plug that value of x into the surface area equation to find the minimum surface area.


Related Questions

In the newest animated movie, for every 9 children, there are 4 adults. There are a total of 39 children and adults at the movie.
How many children are at the movie?

Answers

Answer:

39 &hhg viki usd chez very

Answer:

The answer is 27

Step-by-step explanation:

You would add 9 3 times and get 27 then add the 3 groups of adults of 4 and you will get 12

add 12 + 27 = 39

During a sale, cameras were discounted 30% from their original price of $295.99. To the nearest cent, how much was the camera during the sale to the nearest cent?

Answers

207.19 simple math.

Use the distributive property to remove the parentheses ,pllz answer and I will give a Brainliest

4(4-x)

Answers

Answer: 16-4x pls give me brainliest

Step-by-step explanation:

Use the properties of exponents to complete the equivalent expression.

Answers

Answer:

8^14

Step-by-step explanation:

lemme know if im wrong, just tring to help

Answer:

8 to the power of 15

Step-by-step explanation:

the number 8 is still the same but the exponent's are different so the answer would be to just plus them together and get 8 to the power of 15

Jane's height to Max's height is in the ratio 4:7. If Max's height is 210cm, what is Jane's height? *

Answers

120

4=?

7=210 then cris cross the answer is 120

Suppose that Jane's height is x cm thus we have :

[tex] \frac{x}{210} = \frac{4}{7} \\ [/tex]

[tex]x = \frac{210 \times 4}{7} \\ [/tex]

[tex]x = 120[/tex]

So Jane is 120 cm .

At the end of the season, Karl buys a discounted baseball bat that normally costs $347.25 using a coupon for a 35% disount. What is the sale price of the bat?

Answers

Discount=35%

35% of 347.250.35(347.25)121.54

Sale price

347.25-121.54$225.7

The sale price of the bat will be;

⇒ $225.71

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Karl buys a discounted baseball bat that normally costs $347.25 using a coupon for a 35% disount.

Now,

Since, Karl buys a discounted baseball bat that normally costs $347.25 using a coupon for a 35% discount.

Hence, The discount price = 35% of $347.25

                                          = 35/100 × $347.25

                                          = $121.54

Thus, The sale price = $347.25 - $121.54

                                = $225.71

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Graph the second line. What is the solution to the system? A (0, 2.5) B (4,6) C (5,5) D (8,2)

(Sorry I couldn't put the graph)​

Answers

You need a picture of a graph so we can help.

Which inequality matches the graph?A)x > -2B)x < -2C)x = -2D)x ≤ -2

Answers

Answer:

the answer is D

Step-by-step explanation:

the answer is D because you know that the dot on the graph is filled in which means it has to be either _< or >_ and then because the line is pointing to the left of -2 so will the greater than or less than sign so X<_ -2 which means x can be anything less than or equal than -2.

approximate the square root to the nearest integer
-√18

Answers

Answer:

-4

Step-by-step explanation:

4² is 16, 5² is 25, and 18 is closest to 16. The nearest integer would be 4, or rather -4 in this case.

Find
y
'
and then find the slope of the tangent line at
(
2
,
225
)
. Round the slope and y-intercept to 3 decimal place.

Answers

Since we are given the point, all we need to find is the slope to discover the tangent line.
To find the slope, you plug in 2 for y’ as it is the x-value of the point.

y’ = 2((2)^2+2(2)+7)(2(2)+2) = 180

Plug in the point and the slope in the point-slope formula

y - y1 = m(x - x1)

y - 225 = 180(x - 2)

Solve for y

y = 180x - 360 + 225

y = 180x - 135

don't add links please.

Answers

C it’s c beacuse that’s the answer

Read the statement, and identify the expressions that are equivalent. the product of a number minus 17 and 5

Answers

What is the statement(not stated in the question)?

(n-7)* 5 n=the number*= multiplication

Please help me and I will give the brainliest. Answer correct plsssss help me

Answers

The answer is B because when u fit it in with the table it works out
it is b because once you insert it, it fits in the mathematical table

PLEASE HELP!! IM DESPERATE, PLEASE SHOW YOUR WORK TOO
To make his famous chocolate cake, a baker uses chocolate that is 75% cocoa. Because his supplier delivered 100 lb of chocolate with 70% cocoa, The baker needs to melt and mix the delivery with chocolate that has 90% cocoa. How much of the 90% chocolate should he use?

Answers

The answers 33 1/3 pound

answer: 33 3/1 pound bc yu need to add all of them up then yu get your answer

I will give brainly if you answer correctly. Plssssss I need help right now.

Answers

Answer:

D

Step-by-step explanation:

(4925-6550)/(2-1)=-1625

slope= -1625

6550=-1625(1)+x

x=8175

y-intercept= 8175

Ddddddd I think I'm pretty sure that it's d

Zack fills bird feeders with birdseed. Each bird feeder holds 2 1/2 cups of birdseed. Zack’s scoop holds 1/4 cup.

How many scoops will Zack use to fill both bird feeders?

1. How many cups of seed does Zack need to fill both bird feeders? Show how you found your answer

2. Write an expression for the number of scoops Zack needs to fill both feeders

3. Evaluate the expression to find the number of scoops Zack needs. Show your work

Answers

Answer:

1.) 5

2.) 0.25x=5

3.) 20

Step-by-step explanation:

1.) 2.5 (same as 2 1/2) x2 ("both bird feeders")= 5 cups needed

2.) 0.25x=5     x= amount of cups needed (0.25 is the same as 1/4)

3.) 5÷0.25= 20  

Answer:

1.) 5

2.) 0.25x=5

3.) 20

Describe in detail how you would create a number line with the following points: 4, 1.25, the opposite of 3, and – (–2fraction of one-half). Please be sure to describe on which tick marks each point is plotted and how many tick marks are between each integer. It may help for you to draw this number line by hand on a sheet of paper first.

Answers

Answer:

-2, 1.25, 3, 4. there will be 3 tick marks in between each number

Step-by-step explanation:

Answer:

at the place a bove zero which is halfway,So 1.25 would be first then 4.

at the place above zero,There are 3 ticks marks in the middle of each number.

Then for the opposite side of the number line, where it begins, you would put -2 1/2 then 3

Step-by-step explanation:

Ur welcome

don't add links please.

Answers

Answer:

C I think or A but it's not b or d for sure but go for C

Johns was farther and faster
5*50=250+25= 275 while 5*50=250+30=280

DUE AT 8 MT!!! HELP ASAP!!!
Define a variable, set up an equation, then solve.
Lynn put 3 7/8 gallons of gas in her gas tank. If there are now 18 1/6 gallons in the tank, how many gallons did she start with?
x - gallons she started with

Answers

Answer:

14.3 gallons      = 4 + 7.25/25  or 14.29 gallons.

Explanation:

18 1/6 gallons - 3 7/8 = 14.29

18 - 3 = 15

1/6 - 7/8 = 15 - 0.70833333333 = 14.2916666667

You need to be careful here if you use basic subtraction, simply as two minus would change to addition.

First change the mixed number of gallons into improper fractions.

3 7/8 ——> 31/8
18 1/6 ——> 109/6

Then find the LCM ( Lowest Common Multiple) in this case of the denominators it would be 24.

Convert both fractions as a factor of 24;

31/8 ——> 93/24
109/6 ——> 436/24

Then you want to take away the amount she was left with from how many she had added;

436 93 343
——— minus ——— = ———
24 24 24


As a mixed number this could be written

7
as 14 —-
24

Hope this helped!! Much love and good luck <33 :)

What is the y-intercept of a line that has a slope of -3 and passes through point (-5, 4)? a) -17 b) -11 c) 7 d) 19​

Answers

Answer:

(- 11)

Answer b is correct

Step-by-step explanation:

To find this you can use

y = mx + c

Here,

m = slope

c = y - intercept

( -5, 4) = ( x ,y)

Let us solve now .

[tex]y = mx + c[/tex]

[tex]4 = - 3 \times - 5 + c \\ 4 = 15 + c \\ 4 - 15 = c \\ - 11 = c[/tex]

Therefore,

c = (-11)

That means y - intercept is ( -11 )

Hope this helps you.

Let me know if you have any other questions :-):-)

Answer: b (-11) , hope it will help

Question 3(Multiple Choice Worth 1 points)

(04.04 MC)

An oil company fills 1 over 12 of a tank in 1 over 4 hour with gasoline. At this rate, which expression can be used to determine how long it will take for the tank to fill completely?

1 over 4 ⋅ 1 over 12
1 over 12 ⋅ 4
1 over 4 ⋅ 12
12 ⋅ 4

Answers

Answer:

1/4 ⋅ 12

Step-by-step explanation:

The oil company fills 1/12 of a tank in 1/4 hour (20 minutes) with gasoline.

1/4 ⋅ 12

(time) ⋅ (total tank size)

1/4 • 12 witless be the correct answer

I have to get this done soon, it’s due today in my 5th period!

Answers

Step-by-step explanation:

I'm not sure if what I did is right, so sorry if I did wrong

I’m not trying anything to make it happen but I just want you in the way I do it

Out of the 50 students in Mrs. Green's class, 4 have a pet. What percent of the students in Mrs. Green's class have a pet?


The percent of students in Mrs. Green's class that have a pet is what%.

Answers

Answer:

8%

Step-by-step explanation:

50÷100 = 0.5

0.5×2 = 1

1 student = 2%

2%×4=8%

Answer:

8%

create a proportion:

4/50 = x/100

4(100) = 50(x)

400=50x

8 = x

Help plsss s/.$.$&/&/&:&

Answers

Answer: Yada bada cada

Step-by-step explanation:

Answer:

i cant see the problem

Step-by-step explanation:

What is the value of 7³ ?

Answers

Answer:

343

Step-by-step explanation:

7 x 7 x 7 = 343

Hope it help and if it its correct please give brainliest  

Stay Safe And Healthy

Thank You

Answer:

The answer is:

7³ = 343

Solution:

7x7x7 = 343

100 POINTS How could you use the Commutative Property of Multiplication to rewrite the expression −21(7)?

A. 7(-21)
B. 21 + (-7)
C. 7 + (-21)
D. 3(7 - 21)

Answers

d would be the best answer choice.

Answer:

D would be best

Step-by-step explanation:


Please help me with this I need the answer soon!

Drag each angle measure to the correct location on the image. Each angle measure can be used more than once.

In the figure, two parallel lines are cut by two other parallel lines. The measures of one of the angles is labeled. Find the measures of the other angles and label them.

137° 52° 128° 38°

*then it’s the picture*

Answers

I’m not in that grade so ye c
you just have to look at the angles and check if they are corresponding also look at the measurements and see if how they match the spaces

(help asap!) What is the value of the function at x = 2?

Enter your answer in the box.

Answers

Answer:

f(2) = -3

Step-by-step explanation:

Given the graph of a negative-sloped function:

In order to determine the value of a function given that x = 2, simply locate the x-coordinate of 2 in the graph, and find its corresponding y-coodinate. Doing so will provide you the corresponding output value of y = -3. Therefore, the value of the function at x = 2 is f(x) = -3, or f(2) = -3.

write 5.437 in expanded form

Answers

5+0.4+0.03+0.007 is the answer

The expanded form of the given decimal number is 5+0.4+0.03+0.007.

What is expanded from of a decimal number?

Unlike whole numbers, decimal numbers can also be written in the expanded form. For writing the decimals in expanded form, we multiply each of the decimal digits with increasing exponent values of (1/10).

The given decimal is 5.437

Now, the expanded form is

5+4/10+3/100+7/1000

= 5+0.4+0.03+0.007

Therefore, the expanded form of the decimal 5.437 is 5+0.4+0.03+0.007.

To learn more about the expanded form of a decimal numbers visit:

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HELPPPPO MEEEJEE PLEASE SJH

Answers

it's 11 cups

Step-by-step-explenation
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