You need to build a box from an 8 inchby 10 inch piece of cardboard. To do this, you cut out squares of length x from the four corners of the box in order to fold the sides up. Verify that the volume of the box is given by the equation:

V= 4x^3â36x^2+ 80x

Answers

Answer 1

Answer:

Step-by-step explanation:

From the attached image below, let assume we have a square of diameter x by x which is to be cut from each corner of the cardboard sheet.

Thus, from the diagram

the length = 8 - 2x   the width = 10 - 2x  and the height = x

So, the volume V = L*w*h

Volume (V) = (8 - 2x) (10 - 2x) x

V = (80 - 16x - 20x +4x²)x

V = 80x -36x² + 4x³

By rearrangement:

V = 4x³ - 36x² + 80x

You Need To Build A Box From An 8 Inchby 10 Inch Piece Of Cardboard. To Do This, You Cut Out Squares

Related Questions

Please help. Will give brainliest.

Answers

Answer:

i am going to but 11 bagels but i am going to buy them for a price under 5$

i am also going to buy 4 extra if we are still hungry

Step-by-step explanation:

i dunno you prob need a anwser with little thought like this becuase of auto grading systems hope this helps

Your utility company charges 14 cents per kilowatt-hour of electricity. Complete parts (a) and (b) below.
a. What is the daily cost of keeping lit a 150-watt light bulb for 8 hours each day?
b. How much will you save in a year if you replace the bulb with an LED bulb that provides the same amount of light using only 20 watts of power?
a. The daily cost of keeping lit a 150-watt light bulb for 8 hours each day is $
(Round to three decimal places as needed.)
b. The yearly savings of replacing the 150-watt light bulb with a 20-watt light bulb is
(Round to two decimal places as needed.)

Answers

Answer:

P = 150 W * 60 sec/min * 60 min/hr =  540000 W-sec/hr

1 kW = 1000 W * 3600 sec = 3.6E6 W-sec

E (8 hrs) = 8 * .54E6 W-s = 4.32E6 W-sec

or E= 4.32/3.6 = 1.2 kW = .168 $/day

20/150 = .133 as much for a 20-watt bulb

For a LED bulb cost/day = .168 * .133 = $.022/da

Note 1 W = 1 Joule/sec

1. is 2/3 and 4/12 equivalent or no 2. is 5/6 and 10/12 equivalent or no 3. is 1/4 and 4/8 equivalent or no?

Answers

6/12, 1/2, 10/20, 5/10,

Answer:

Step-by-step explanation:

Gino had 89€.
He used one
quarter to buy
a gumball. How
much money does
Gino have left?

Answers

Answer: 64€

Step-by-step explanation:

89 - 25 = 64

Can i have brainliest

Answer:

64 cents

Step-by-step explanation:

Assuming the 'c' symbol represents an American currency symbol

Solve for X 3x - 5X + 8x + x = 42

7
8
6​

Answers

Answer:

x = 6

Step-by-step explanation:

3x-5x+8x+x = 42

7x = 42

x = 6

"One subtracted
from the
product of 4 and
a number is 11

Answers

4x-1=11 for some reason this needs to be 20 letters doodle doo

A club has members from three grades.
It has 36 members from sixth grade, 24 members from seventh grade, and 30 members from eighth grade.

What is the ratio of the club's seventh graders to eighth graders?

Answers

the ratio is 24:30

or the simplified version is 4:5

Sheila is making accessories for the soccer team. She uses 883.14 inches of fabric on headbands for 38 players and 3 coaches. She also uses 324.52 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

Answer:

29.455

Step-by-step explanation:

add the inches of fabric together and divide by the total number of players and coaches

Which of the following equations has no solution?
3x + 1 = 3x + 1
3x+1= 3x + 2
3x+1= 2x + 1​

Answers

Answer:

3x+1=3x+1

0x=0

no solution

3x+1=3x+2

0×=1

no solution

3x+1=2x+1

x=0

X IS THE SOLUTION BTW

solve the following problems:
in Mrs. Pregonero Math class, 12 pupils got high scores on thw test . if this is 15% of the total number of pupils in the class, how many pupils she have in all?

Answers

Answer:

Step-by-step explanation:

tey to analyze the problems

Michael paints a circular
tablc that has a diameter
of 19 inches. What is the
area of the table?

Answers

Answer:

90.25π

Step-by-step explanation:

The formula for solving the area of a circle is πr².

r is the radius. We can find the radius by splitting the diameter in half: 19/2 = 9.5.

We can apply the area formula and we get π9.5² and the answer is 90.25π.

The weight of 120 books is 36kg, find the weight per book

Answers

Answer:

0.3kg

Step-by-step explanation:

Since the weight of 120 books is 36kg, the weight per book will be:

= 36kg / 120

= 0.3kg

how do i solve for this?

Answers

Answer:

see explanation

Step-by-step explanation:

(16)

The mid segment ZW is half the sum of the parallel bases

ZW = [tex]\frac{38+20}{2}[/tex] = [tex]\frac{58}{2}[/tex] = 29

(17)

The lower base angles are congruent , so

∠ UYX = ∠ VXY = 35°

(18)

Any lower base angle is supplementary to any upper base angle , then

∠ VUY = 180° - ∠ UYX = 180° - 35° = 145°

(19)

[tex]\frac{UV+XY}{2}[/tex] = ZW

[tex]\frac{3x-1+7x+1}{2}[/tex] = 10 ( multiply both sides by 2 to clear the fraction )

10x = 20 ( divide both sides by 10 )

x = 2

Then

XY = 7x + 1 = 7(2) + 1 = 14 + 1 = 15

(20)

The legs are congruent , so

UY = VX

5a - 6 = 3a + 2 ( subtract 3a from both sides )

2a - 6 = 2 ( add 6 to both sides )

2a = 8 ( divide both sides by 2 )

a = 4

Distributive property 21x4

Answers

Answer:

21*4 = 84.

Step-by-step explanation:

Multiply 2 by 4 to get 8.

Multiply 1 by 4 to get 4.

Move the 8 into the tens place and move the 4 into the ones place.

What is the gradient of the graph shown?
Give your answer in its simplest form.

Answers

Answer:

Step-by-step explanation:

When it's clear, the easiest way to do the problem is to used the x and y  intercepts.

This question is one of the clear one.

The x intercept is 2,0

The y intercept is 0,1

You want the slope.

m = (y2 - y1)/(x2 - x1)

y2 = 1

y1 = 0

x2 = 0

x1 = 2

m = (1 - 0)/(0 - 2)

m = 1 / -2

m = -1/2

In this case the slope and gradient have the same value --   - 1/2 or - 0.5

sin^2 θ - secθcosθ + cos^2 θ =

Answers

Answer:

0

Step-by-step explanation:

sin²θ + cos²θ = 1

secθcosθ = (1/cosθ)cosθ = 1

1 - 1 = 0

identify which of the following in NOT equivalent to
[tex]2 \frac{2}{3} [/tex]

Answers

[tex]~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\boxed{A}\qquad \sqrt[4]{8}\implies \sqrt[4]{2^3}\implies 2^{\frac{3}{4}} \\\\\\ \boxed{B}\qquad \sqrt[4]{2^3}\implies 2^{\frac{3}{4}} \\\\\\ \boxed{C}\qquad 2^{\frac{1}{4}}\times 2^{\frac{1}{2}}\implies 2^{\frac{1}{4}+\frac{1}{2}}\implies 2^{\frac{1+2}{4}}\implies 2^{\frac{3}{4}} \\\\\\ \boxed{D}\qquad \left( 2^{\frac{1}{4}} \right)^{\frac{1}{2}}\implies 2^{\frac{1}{4}\cdot \frac{1}{2}}\implies 2^{\frac{1}{8}}\qquad \textit{\large \checkmark}[/tex]

Which of the following trinomials can be factored using the square of the difference?

NO LINKS!! ​

Answers

Answer:

  d) 16x² -56x +49

Step-by-step explanation:

The square of a binomial difference will have the form ...

  (ax -b)² = a²x² -2abx +b²

__

The sign of the linear term will be negative, which eliminates choices A and C.

The linear term will be double the product of the roots of the other two terms.

In choice B, the linear term has a factor of 5 that appears nowhere else, so that cannot be a perfect square.

Choice D factors as ...

  16x² -56x +49 = (4x -7)² . . . . the square of a difference

10x + 7-x=3x + 8
Please give me answer!

Answers

Answer:

Solution: x = 1/6

Decimal form: 0.166667

Hope this helps :)

Answer:

x = 1/6

Step-by-step explanation:

10x + 7 - x : Combine like terms (In this case the x values)

9x+7 = 3x + 8 : Subtract 3x from both sides

6x + 7 = 8 : Now subtract 7 from both sides

6x = 1 : Divde both sides by 6

x = 1/6

QUESTION 4
Round the following number to two significant digits: 137,426.9

Answers

137,426.9 is 140,000 when rounded to 2 sig figs

3(x+9)-4x=11x-13x+23

Answers

Answer:

[tex]\huge\boxed{x=-4}[/tex]

Step-by-step explanation:

[tex]3(x+9)-4x=11x-13x+23\\\\(3)(x)+(3)(9)-4x=(11x-13x)+23\\\\3x+27-4x=-2x+23\\\\(3x-4x)+27=-2x+23\\\\-x+27=-2x+23\qquad|\text{subtrsact 27 from both sides}\\\\-x=-2x-4\qquad|\text{add}\ 2x\ \text{to both sides}\\\\x=-4[/tex]

There are 30 students in a class and 18 of them at least have 1 pet. what fraction of the class has pets Give your answer in its simplest form

Answers

Answer:

3/5

Step-by-step explanation:

3/5 pet is the exact fraction of pet that each student will have.

18 pets out of 30 students

= total pets divided by total students that would be 18/30

Simplifying 18/30 would make

9/15 first and then 3/5

So 3/5 is the answer

a bike cost 129.90 what is your total with a tax of 5%

Answers

Answer:

so you just use the equation to get the formula and extract the common denominator

Step-by-step explanation:

because i said so

Howie wants to get a car loan with 4% simple interest rate. If the car costs $25,000, how much would Howie need to pay back at the end of one year, including the interest?

Answers

The amount Howie will pay back at the end of one year is $26000.00

The given parameters are:

[tex]P =25000[/tex] -- the principal amount

[tex]R = 4\%[/tex] -- the interest rate

[tex]T=1[/tex] --- the duration

The amount to pay back in this duration is then calculated using:

[tex]A = P(1 + RT)[/tex]

So, we have:

[tex]A = 25000(1 + 4\% \times 1)[/tex]

[tex]A = 25000(1 + 4\% )[/tex]

Express percentage as decimal

[tex]A = 25000(1 + 0.04)[/tex]

[tex]A = 25000(1 .04)\\[/tex]

Multiply

[tex]A = 26000[/tex]

Hence, the amount to pay back is $26000.00

Read more about simple interest at:

https://brainly.com/question/1115815

I need help with math

Answers

[tex] \frac{1}{5} + \frac{3}{4} \times \frac{3}{5} = \\ [/tex]

[tex] \frac{1}{5} + \frac{9}{20} = \\ [/tex]

[tex] \frac{4}{20} + \frac{9}{20} = \\ [/tex]

[tex] \frac{13}{20} \\ [/tex]

746 divided by 40 with remainder

Answers

It would be 18.65 with a remainder of 1

Answer:

Quotient: 18; Remainder: 26

Step-by-step explanation:

Please open the PDF file for work.

Hoped this helped.

[tex]GeniusUser[/tex]

Which ordered pair (a, b) is the solution to the given system?
2a-5b=1
3a+5b=14
(1, 3)
(3, 1)
(29/5,15)
15,29/5

Answers

Answer:

2a - 5b = 1

3a + 5b = 14

Let's solve this system using elimination. Add the equations together to cancel the b-terms, then solve for a.

   2a - 5b = 1

  3a + 5b = 14

+___________

   5a - 0 = 15

        5a = 15

          a = 3

Next, plug 3 for a into either of the equations and solve for b.

 2a - 5b = 1

2(3) - 5b = 1

   6 - 5b = 1

      - 5b = -5

          b = 1

Lastly, check all work by plugging both values for their respective variables.

    2a - 5b = 1

2(3) - 5(1) = 1

        6 - 5 = 1  --  This is true

    3a + 5b = 14

3(3) + 5(1) = 14

        9 + 5 = 14  --  This is true

The solution to the system of equations is (3, 1).

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Please solve of r in the problem int the photo

Answers

[tex]r = \sqrt{\dfrac{3V}{\pi h}}[/tex]

Step-by-step explanation:

Multiply both sides by 3 to get

[tex]\pi r^2h = 3V[/tex]

Then divide both sides by [tex]\pi h[/tex] and you'll get

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

To solve for r , you need to take the square root of both sides to get

[tex]\sqrt{r^2} = r = \sqrt{\dfrac{3V}{\pi h}}[/tex]

A pirate was digging a hole on an island to bury his treasure. If he is able to dig a hole into the sand at 2 feet per minute, what integer would represent how deep the would be after 7 minutes?

Answers

Answer:

2(7) = 14 ft.

Step-by-step explanation:

That pirate must be a beast! or have an excavator.

select the correct product for the problem below. (−85)(23)(−4) =? -64/15 64/15 16/60 -16-60 64-60

Answers

Answer: 7,820

Sorry I have no help :(

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