Elena is making an open-top box by cutting squares out of the corners of a piece of paper that is 11 inches wide and 17 inches long, and then folding up the sides. If the side lengths of her square cutouts are inches, then the volume of the box is given by V(x)=x(11-2x)(17-2x)

Answers

Answer 1

Answer:

V(x) = (17 - 2x)(11 - 2x)x

Step-by-step explanation:

We are told that She is making an open top box. This means the box will have only 5 faces.

Now, she cuts squares out of the paper that measures 11 inches wide and 17 inches long.

Now, if the square side is x, it means the width of the box will be x. Since there are 2 upright faces that serve as width.

Thus, measurement of width from the 11 inches paper = (11 - 2x)

Now, similarly, there will be 2 upright sides that will serve as length. Thus, length from the 17 inches side is;

(17 - 2x)

Now,recall that a side of the square is x.

Thus, the depth is x.

Now, volume of a box is given by;

V = length x width x depth

Thus, in this case;

V(x) = (17 - 2x)(11 - 2x)x


Related Questions

Find the unit rate: $23.96 for 4 pounds

Answers

Answer:

5.99 dollars per pound

Step-by-step explanation:

Convert to a decimal by dividing the numerator by the denominator.

simplify the expression (5x^7)^2

Answers

Answer:

25x^14

Step-by-step explanation:

Help I need to pass this

Answers

Answer:

bottom right hand corner is false

Step-by-step explanation:

Key word perpendicular, it just needs to have relectional symmetry across the line that goes across the figure

Need help ASAP!!!!!!!

Which pair of numbers has an LCM of 60?
a. 2 and 12
b.5 and 12
c.6 and 12
d.3 and 12


Pls answer ASAP

Answers

Answer: 5 and 12

Step-by-step explanation:

i did the quiz

A line passes through the point (8, -7) and has a slope of -3/4

Write an equation in slope-intercept form for this line

Answers

Answer:

y = -3/4x -7

Step-by-step explanation:

hope this helps!

what is the maximum number of terms a fourth-degree polynomial function in standard form can have?

Answers

The maximum number of terms fourth-degree polynomial function in standard form can have is 5

The general form of an nth degree polynomial is:

[tex]p(x) = a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ....+a_1x+a_0[/tex]

The maximum number of terms that an nth -degree polynomial can have is n+1

For a fourth degree polynomial, n = 4

Substitute n = 4 into [tex]p(x) = a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ....+a_1x+a_0[/tex]

[tex]p(x) = a_4x^{4}+a_{4-1}x^{4-1}+a_{4-2}x^{4-2}+a_{4-3}x^{4-3}+a_{4-4}x^{4-4}\\\\p(x) = a_4x^4+a_3x^3+a_2x^2+a_1x+a_0[/tex]

The maximum number of terms of p(x) above, when n = 4 is (4+1)

The maximum number of terms fourth-degree polynomial function in standard form can have is 5

Learn more here: https://brainly.com/question/22340393

Determine if each pair of ratios or rates are equivalent. Explain your reasoning:
48 words typed in 3 minutes || 75 words typed in 5 minutes

Answers

Answer:No, because when we divide 48/3=16 so 16 words are typed in 1 minute while when you divide 75/5=15 so 15 words are typed in 1 minute and 16 is greater than 15 so their not equivalent

Step-by-step explanation:

Read the problem. The Sweet Dreams Hotel has a total of 125 rooms. If 25 are vacant, what percent of the rooms at the Sweet Dreams Hotel are vacant? Pick the model that represents the problem.​

Answers

Answer:

20%

Step-by-step explanation:

First of all I don't known what the model thing is but I'll tell you the percent

25 /25

125 /25

= 1/5

1/5 as a percent=

1 *20

5 *20

= 20%

Solve the following absolute value equation
| x+5 | = 11

Answers

Answer:

X is 6 or -6

Step-by-step explanation:

In absolute value it makes everything positive

Answer:

x = 6

Step-by-step explanation:

Simplify: x + 5 = 11Subtract 5 from each side, so it now looks like this: x = 6

I hope this helps!

An electric company charges a certain rate per kilowatt-hour (\text{kWh})(kWh)left parenthesis, start text, k, W, h, end text, right parenthesis of electricity used and an administrative fee of \$3.50$3.50dollar sign, 3, point, 50. The company charged Zhao \$63.25$63.25dollar sign, 63, point, 25 for using 800\,\text{kWh}800kWh800, start text, k, W, h, end text of electricity. Zhao uses the equation, 63.25=800r+3.5063.25=800r+3.5063, point, 25, equals, 800, r, plus, 3, point, 50 to represent the situation.

Answers

Step-by-step explanation:

The equation is given by :

63.25=800r+3.50

Here,

63.25 is the electric company charges

3.5 is an administrative fee

800 is charge per kilowatt hours

r is rate per kilowatt hour

In this proble, we need to tell that what does r represents. Hence, r shows kilowatt per hour.

We can solve it as follows :

63.25-3.5=800r+3.50-3.50 (Subtracting 3.50 to the both sides)

59.75=800r

[tex]r=\dfrac{59.75}{800}\\\\r=0.0746[/tex]

PLEASE ANSWER FAST WILL GIVE BRAINILY
Write an equation or inequality to represent the relationship "three
times a number decreased by 12 is equal to -18". Then solve.
a. Equation :
b. Answer:

Answers

Answer:

a. 3x-12= -18 b. x=-2

Step-by-step explanation:

What is five times seven divided by nine

Answers

Answer:

3.9 or 3.88888888889

Step-by-step explanation:

5*7=35

35/9=3.88888888889=3.9

Answer:

5*7 = 35 / 9 =3

Step-by-step explanation:

because it is the closest

People attending a baseball game either supported the home team or the visiting team. If 1144 of the people attending supported the home team and 1456 supported the visiting team, what percentage supported the home team?​

Answers

Answer:

44%

Step-by-step explanation:

Simplify the expression. (6x+1/2)+(3x-3 1/2)

Answers

Answer:

Have a Spoopy Halloween lol its 9x-3

Step-by-step explanation:

(6x+1/2)+(3x-3 1/2)

= 6x+3x-3 1/2+1/2

= 9x-3

Answer:

[tex]9x - \frac{6}{2} [/tex]

Step-by-step explanation:

[tex](6x+1/2)+(3x-3 \: 1/2) \to \\ ( 6x + \frac{1}{2} ) +( 3x - 3 \frac{1}{2} ) \to \\ 9x + \frac{1}{2} - \frac{7}{2} \to \\ 9x - \frac{6}{2} [/tex]

♨Rage♨

i am too unmotivated to do any math even if its easy please help :)

Answers

Answer:

40% increase

Step-by-step explanation:

First, find the difference:

161-115=46

Then divide by the past price to get the percent increase:

46/115=.4=40%

Solve for x.

3y = x + 8

Answers

X=3y-8 thats the answer I think
Answer: x-3y=-8

This is how far the problem can simply

11x - 8 = 4x - 3

solve for x​

Answers

Answer:

7×=5 ×=5/7

Step-by-step explanation:

can someone pls help with this i need help since Friday

Answers

Answer:

I'm pretty sure that A is right.

Step-by-step explanation:

They share a side, making them equal.  It is also shown that RQ and SR are equal.  This means that, for SAS, all you need is the angle in between them.

I hope this helps!


Which equation has a slope of 3?
A) y = 3x + 4
B) y = 4x + 3
C) 3x + 4y = 24
D) 4x + 3y = 24

Answers

Answer:

a

Step-by-step explanation:

The answer is a hope this helps

Is √3,600 rational? Or a perfect square

Answers

Answer:

Yes to both

Step-by-step explanation:

In pretty sure it’s rational

If someone could help me I would really appreciate it!

Factor by slide and divide!

Answers

Answer:

(3x-4)(2x+5)

Step-by-step explanation:

6x^2 + 7x + 24

= 6x^2 + (15-8)x + 24

= 6x^2 + 15x - 8x + 24

= 3x( 2x+5 ) - 4( 2x+5 )

= (3x-4)(2x+5)

Simplify

-5y - X + 7 - 2y + 3x + 4​

Answers

Answer:

-7y + 2x + 11

Step-by-step explanation:

-5y - X + 7 - 2y + 3x + 4​

-7y + 2x + 11

Answer: 2x-7y+11

Step-by-step explanation:

Add the x's and then add the y's. add the 4 and seven because they do not have a variable.

given the definition of f (x) and g(x) below find the value of g(f(-1)).

f(x)=3x²+5x-7

g(x)=2x+13

Answers

Answer:

-29

Step-by-step explanation:

first do the f function which gets you g(-21)

then do the g function

72 + (7x+24) = 180
need to find value of x with steps

Answers

Answer:

[tex]\boxed {x = 12}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]72 + (7x + 24) = 180[/tex]

Add both [tex]72[/tex] and [tex]24[/tex] together:

[tex]72 + (7x + 24) = 180[/tex]

[tex]96 + 7x = 180[/tex]

-Subtract [tex]96[/tex] to both sides:

[tex]96 - 96 + 7x = 180 - 96[/tex]

[tex]7x = 84[/tex]

-Divide both sides by [tex]7[/tex]:

[tex]\frac{7x}{7} = \frac{84}{7}[/tex]

[tex]\boxed {x = 12}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]12[/tex].

The value of x in the equation is 12

The given equation is: 72 + (7x+24) = 180

In order to determine the value of x, take the following steps:

1. Expand the terms in the bracket

72 + 7x+ 24 = 180

2. Combine similar terms

7x = 180 - 72 - 24

3. Add similar terms together

7x = 84

4. Divide both sides of the equation by 7

7x / 7 = 84/ 7

x = 12

In order to check if the value of x gotten is correct, substitute for x in the equation

72 + (7(12)+24) = 180

72 + 84 + 24 = 180

A similar question was solved here: https://brainly.com/question/31437?referrer=searchResults

6) Which of the following expressions are equivalent to 40x + 30y? Choose ALL that apply.
5x(8 + 6)
5(8x + 6y)
10(40x + 30y)
10(4x + 3y)
2y(20x + 15)
2(20x + 15y)

Answers

Answer:

5(8x + 6y), 10(4x + 3y), 2(20x + 15y)

Step-by-step explanation:

(5x *8) + (5x *6) = 40x + 30x no

(5 * 8x) + (5 *6y) = 40x + 30y yes

10*40x + 10*30y = 400x + 300y no

10*4x + 10*3y = 40x + 30y yes

2y *20x + 2y*15 = 40xy + 30y no

2*20x + 2*15y = 40x + 30y yes

The expressions that are equivalent to (40x + 30y) is (10(4x + 3y)) and (2(20x + 15y)) and this can be determined by using the arithmetic operations.

Given :

Expression  --  (40x + 30y)

The following steps can be used in order to determine the expressions that are equivalent to (40x + 30y):

Step 1 - The arithmetic operations can be used in order to determine the expressions that are equivalent to (40x + 30y).

Step 2 - Take the 10 common in the given expression.

= 40x + 30y

= 10(4x + 3y)

Step 3 - Also can take 2 common in the given expression.

= 40x + 30y

= 2(20x + 15y)

Therefore, the correct option is D) and F).

For more information, refer to the link given below:

https://brainly.com/question/25834626

What is the value of h(3)?

Answers

Answer:

1

Step-by-step explanation:

The value of h(3) basically means what y-value does the function h have when x=3 ?

Looking at the graph, when x is 3, the y value is 1.

h(3)=1

BJs sells apples in 3.5-pound bags. They sell 45 bags of apples each day. How many pounds of apples does BJs sell in 1 week? BJs sells apples in 3.5-pound bags. They sell 45 bags of apples each day. How many pounds of apples does BJs sell in 1 week? BJs sells apples in 3.5-pound bags. They sell 45 bags of apples each day. How many pounds of apples does BJs sell in 1 week?

Answers

Answer:

1102.5 pounds of apples will be sold in a week.

Step-by-step explanation:

Amount of apples in each bag = 3.5 pounds

If BJs sells 45 bags each day, amount of apples sold = 3.5 × 45

                                                                                        = 157.5 pounds

Number of days in a week = 7

Amount of apples sold in one week = Apples sold in a day × Number of days in a week

Amount of apples sold in 7 days = 157.5 × 7

                                                      = 1102.5 pounds

Therefore, amount of apples sold in a week = 1102.5 pounds

Answer:

1102.5 pounds

Step-by-step explanation:

Choose the equations that are not linear equations.

A. x/2-y^3=1
B. -x-y=2
C. x=5
D. x^2+y=4

Answers

D. X^2+y=4 is NOT a linear equation.

Step-By-Step Explanation:

The exponent in x^2 indicates this is a polynomial equatuon, because when graphed, it doesn't form a line.

Answer:

hello I'm getting free points

I need help please I don’t understand this

Answers

Answer:

cosB = 21/75, tanB = 72/21

Step-by-step explanation:

Here, we can use pythagoras to figure out all sides. 75^2-72^2 = 21^2. So, we have sides with lengths 21, 72, and 75. We are given that sinB = 72/75. The definition of sin is opposite of hypotenuse. So, the opposite of angle B is side CA and the hypotenuse is BA. This allows us to find that BC is the 21 length side. The cos of an angle is adjacent over hypotenuse. In this case, it is BC/BA which is 21/75. similarly, Tan is opposite over adjacent or 72/21. And we are done. Those are the values. TO remember these, use the acronym:

SOH CAH TOA. S refers to sin and OH refers to opposite over hypotenuse. Similarly C is cos, A is adjacent, and H is hypotenuse, and then T is tan,  o is opposite and A is adjacent.

7+7 please help me i need help quick right away

Answers

Answer:

very funny and 14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

7 plus 7? how old are you?

Other Questions
is 6 rational or irrational?? Write the inverse function for the function, (x) =x + 4. Then, find the value of -1(4). Type your answers in the box. -1(x) = -1(4) = HELP I HAVE TO TURN THIS IN 3 HOURS! BUT I CANT RIGHT NOW BECAUSE I HAVE OTHER HOMEWORKS TO DO PLS HELP ME IF YOU KNOW ALL THE ANSWERS * 7th grade Reading DPA 2 (2020-2021) Final. There's 16 question look at my other post how many moles of h2 can be made from the complete reaction of 3.5 moles of al?Given: 2Al+6HCL 2Alcl3+3h2 Placing the arrow on the bowstring to get it ready for drawing is called_____A: cuppingB: nockingC: addressingD: preparing I am actually dumb just help me please In 1821, _________ ___________ paved the way for Anglo-American colonization of Texas. 2. Choose all numbers that are RATIONAL. * 1. 0 2. 5/7 3. 3.6820350285........ 4. -10 Remember that Alice wants to play the huge chess game and move from pawn to queen as quickly as she can. Which theme do these details most support?O Loneliness is difficult to deal with. O It is better to be an important queen than an unimportant pawn. OSome people want to move ahead in life more quickly than they should.O Making new friends is difficult h(x)=x11 i don't get it What resistance must be connected in parallel with a 633- resistor to produce an equivalent resistance of 205 ? The boat that belongs to Fred creates large waves. What is the subject in the sentence? I guess Im getting too old for trick-or-treating. So last Halloween, I decided to stay home, answer the door, and give out candy. Its always fun to see all the different scary costumes. I couldnt wait for the first group of trick-or-treaters to come. Finally, the doorbell rang, but there were no trick-or-treaters to be seen. When I opened the door... Please finish the story 100 POINTS what is the color of a god dam apple i said brown but clearly im wrong. What is the measure of 1? Please help! I will give Brainly if its correct also I don't need the answer for the word of the day) what is the equation in slope intercept form 6x-4y=12 ? The heat of fusion for naphthalene is 0.148 kJ/g. Calculate the heat energy in joules required to melt 52.95 g of naphthalene. what type of number is -15 What is 120 divided by 55