Mathematics Middle School

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

Hellppp meeeeeee PLEASEEEEE-&:&:

Answers

-8.5 feet above sea level

Nadia is a stockbroker. earns ​13% commission each week. Last​ week, sold ​$7,500 worth of stocks. How much did make last week in​ commission? If averages that same amount each​ week, how much did make in commission in​ 2011?

Answers

Answer:

It is 13% of 7,500.

13% of 7,500 is 975.

She made $975 worth of stocks last week.

The averages are the same amount each week.

In a year, she will make $50700 worth of stocks.

Answer:

50700

Step-by-step explanation:

7500*0.13= $975

multiply answer by 52 for weeks in one year.

975*52= $50700

**I NEED THIS ASAP THE FIRST PERSON WHO ANSWERS THIS CORRECTLY WILL BE MARKED BRAINLIEST**!!

The equation for this line is y = x + . If she continues the line, she would see that it would take 10 weeks for her cat to lose 5 pounds.

Answers

Answer:

y=1/2x+5

Step-by-step explanation:

find slope

1/2 = 1/2

find y intercept

(0, 5)

insert into equation

y=1/2x+5

Answer: y=1/2x+5

Step-by-step explanation:

Hope it helps

Also please mark Brainliest

Write and then evaluate an expression for the following number line

A number line from negative three to three is shown. An arrow starts at zero and goes to negative two. It is labeled move two units left. A second arrow starts at negative two and goes to two. It is labeled then move four units right.
Enter the correct answers in the boxes.

Answers

Answer:

ok there are know boxesStep-by-step explanation:

Step-by-step explanation:

Each bus holds 56 people.
How many buses are needed to take 427 students, 17 teachers, and 53 parent volunteers to the track meet?

Answers

Answer: 9 buses

Step-by-step explanation:

427+17+53= 497

1 bus can hold 56 people

497 ÷ 56 = 8.8 --> round it up is 9

8.8 but if you round you get 9

Please help me! I can't figure out the answer!

Answers

Answer:

...

Step-by-step explanation:

When we change the sign of the x-coordinate and the y-coordinate in an ordered pair, what transformation occurs?

Answers

Answer:

We are reflecting the pair.

Step-by-step explanation:

Take (6, 3) for example. We are reflecting across the the x and y axis. the reflection of (6, 3) is (-6, -3).

we are reflecting the pair

HELP I WILL GIVE BRAINLIEST

Answers

Answer:

y= minus 1 and make that number negative?

Step-by-step explanation:

don't add links please

Answers

Answer:

A

Step-by-step explanation:

The slope is 4

The y-intercept is ( 0, -9 ).


Hope this helps! :)

Write the Pythagorean theorem equation in an equivalent form with the a² isolated.

Answers

Answer:

[tex]a^{2}= -b^{2}+c^{2}[/tex]

Step-by-step explanation:

Rewrite the Pythagorean Theorem equation in terms of [tex]a^{2}[/tex].

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

Subtract b squared from both sides.

[tex]a^{2}= -b^{2}+c^{2}[/tex]

Answer:

A^2=-B^2+H^2

Step-by-step explanation:

A^2+B^2=H^2

Isolate A^2. Subtract B^2 from both sides.

A^2=-B^2+H^2

Hope this helps :)

Given f(x) = 3x+5 and g(x) = -8x-10
A) Find f(x)+g(x)
B) Find f(x)-g(x)
C) Find f(x)*g(x)
D) Find f(x)/g(x)
E) Determine which of the above are polynomials.

Answers

Answer:

Option A

Step-by-step explanation:

[tex]\frac{F (x)3x + 5 }{g (x) 2 (x +5) }[/tex]

The answer is a I think

The area, A, of an isosceles right triangle is a function of the length of its legs, s, and is represented by the equation: A = 1/2 S^2.

Answers

Answer:

what's the question?

Step-by-step explanation:

Dante works mowing lawns and babysitting. He earns $9.20 an hour for mowing and $7.60 an hour for babysitting. How much will he earn for 5 hours of mowing and 1 hour of babysitting?

Answers

Answer:

Step-by-step explanation:

$9.20 times 5 hours= $46 for mowing

$7.60 times 1 hour = $7.60

$7.60+  $46= $53.6 alll together

9.20 an hour for mowing
7.60 an hour for babysitting
9.20x5=46
7.60x1=7.60
46+7.60=53.60

To rent a certain meeting room, a college charges a reservation fee of $19 and an additional fee of $4 per hour. The chemistry club wants to spend at most $47 on renting the room. What are the possible numbers of hours the chemistry club could rent the meeting room?

Answers

Answer:

The possible number of hours the chemistry club can rent the meeting room is 7 hours.

Step-by-step explanation:

h=hours

19+4h=47

Subtract 19 from both sides of the equation.

4h=28

Divide 4 from both sides of the equation.

h=7

The possible number of hours the chemistry club can rent the meeting room is 7 hours.

Hope this helps :)

Answer:

7 hours

Step-by-step explanation:

There is $47 total dollars. The reservation fee is $19 dollars. Subtract the two:

47-19= 28 dollars

Now the per hour fee is 4 dollars an hour. And you have 28 hours. So divide the two to get maximum hours:

28/4=7 hours

Donna sells beaded necklaces. Each large necklace sells for $5.20 and each small necklace sells for $4.90. How much will she earn from selling 3 large necklaces and 4 small necklaces?

Answers

Answer:

$32.6

Step-by-step explanation:

$5.20 x 3 = $15.6

$4.90 x 4 = $19.6

$19.6 + $15.6 = $35.2

Answer:

$32.6

Step-by-step explanation:

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Answers

Answer:

15/16 liters

Step-by-step explanation:

Let x=number of liters

Let y= container

Equation: 5/8 x = 2/3 c

Multiply both sides by 3/2 --- c = (5/8x) x (3/2)

The volume of the container is 15/16 liters

The Volume Is 15/16 Liters.

All the dimensions of a cuboid are whole numbers, and its volume is 24 units^3. Which one of the following could NOT be one of its dimensions?
A.) 3
B.) 4
C.) 5
D.) 6
First Person who gets it right and EXPLAINS will get branliest! :-)

Answers

If I’m correct, it’s 5 since x•x•5=24 isn’t doable
Answer:

5 is the answer.

Review:

What is a cuboid?

A cuboid is a rectangle, but in 3D form.

Do we calculate area or volume in a cuboid?

We calculate the volume for 3D shapes. For 2D shapes, area is used.

If/Then:

Now, if the volume of the cuboid is 24 units³ then:

x × x × y

Now, lets fit all our options to see which one is NOT the dimensions.

Option A:

x × x × 3 = 24 units³

x × x = 12 units³ ✔

This is possible.

Option B:

x × x × 4 = 24 units³

=> x × x = 6 units³ ✔

This is possible.

Option C:

x × x × 5 = 24 units³

=> x × x = 24/5 units³ ❌

This is not possible. This will be our answer.

Option D:

x × x × 6 = 24 units³

=> x × x = 4 units³✔

This is possible.

Conclusion:

So after working on our problem, we can conclude that C is our answer. Hoped this helped.

10 , 16 , 18 , 15 , 15 , 10 , 23

mean:____________

value differences:
______________


MAD:__________

Answers

Answer:

mean 10+16+18+15+10+23/6

92/6

15.33333......

Mean is 15 add up all the numbers divide them by how many numbers there are which is 7

D. Complete the diagram to find the cost per class in the 8-class block.What is the cost per class

Answers

Answer:

what is the diagram

Step-by-step explanation:

hey you can help help pls pls help help me

Answers

Answer:

A.)

Step-by-step explanation:

HOPE IT HELPED:)!!

Answer:

2

Step-by-step explanation:

(3/4)/(3/8) =

(3/4) x (8/3) = 2/1 = 2

Hope this helps!

PLS HELP
I Need this done now!

Answers

Answer:

3

Step-by-step explanation:

Help me please! correct answer gets brainliest!!

Answers

Answer:

T = 7

Step-by-step explanation:

the percent equivalent to Fraction 1 Over 40 Fraction.

Answers

Answer:

2.5%

Step-by-step explanation:

first things first youre gonna wanna BRING OUT THAT AWESOME CALCULATOR ok now:

enter 1 and then divide by sign, and then 40 and press Enter/equal sign.

we get:

0.025

BUT WAIT! we must multiply 0.025 by 100

we get 2.5%

Answer:

2.5%

Step-by-step explanation:

The fraction in question is 1/40, or 0.025.  The percent equivalent is found by multiplying this result by 100%:  

(100%)(0.025) = 2.5%

help me out and I will give brainliest plsssss

Answers

answer:
b

step-by-step explaination:

Complete the following to show how the expression can be simplified using the Commutative and Associative Properties of Multiplication.

Enter the correct numbers in the boxes.

(−0.5)(−7)(2)= ( )( )(2)
=(−7)[( )( )]
=(−7)( )
=

Answers

Answer:

[tex](-0.5)(-7)(2)= (-7 )(-0.5 )(2)\\=(-7)[( -0.5)(2 )]\\=(-7)( -1)\\=7[/tex]

Step-by-step explanation:

[tex](-0.5)(-7)(2)= (-7 )(-0.5 )(2)[/tex] Here you apply the commutative law ([tex]ab = ba[/tex]).

[tex](-7)[( -0.5)(2 )][/tex] Here apply the associative law ([tex]a(bc) = (ab)c[/tex]).

[tex](-7)( -1) = 7[/tex] A negative number by a negative number is equal to positive.

(-0.5)(-7)(2)= (-7)(-0.5)(2)
=(-7)[(-0.5)(2)]
=(-7)(-1)
=-7

A family gathered 20 small seashells from the beach bringing the total number of small seashells in their collection to 41.

Which equation can be used to find, x, the number of small seashells in the collection before the 20 were added?

options:

20/x = 41

x-21=41

x+20=41

20x=41

Answers

7 in a half because your non
20x=41 because if you have 20 sea shells + (x) x is the ones that you are missing that add up to 41 and then you would make that all equal 41
20x=41 :)

pls pls pls help help pls

Answers

Answer:

b or 7/9

Step-by-step explanation:

Answer:

The correct answer is B: 7/9

use a factor tree to find the prime factors of 30 and 66

Answers

Answer:

Prime factors of 30 are 2,3 and 5. Prime factors of 66 are 2, 3 and 11.

Prime Factors of 30:2,3 and 5. Prime factors of 66:2,3 and 11.

An item is regularly priced at $65. It is now priced at a discount of 40% off the regular price. What is the price now?

Answers

39 dollars

Reason for is because our original price is 65 now take away 40% of that which is 26 , 65-26=39

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

Answers

Answer: Yada bada cada

Step-by-step explanation:

Answer:

i cant see the problem

Step-by-step explanation:

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