Which of the values in the set {2, 3, 4, 5} is a solution to the equation 2x + 4 = 10? (4 points) 2 3 4 5

Answers

Answer 1

Answer:2

Step-by-step explanation:

Answer 2

Answer:

Its 3

Step-by-step explanation:

10- 4 = 6

2 x ? = 6

2 x 3 = 6


Related Questions

find the interest rate on the loan if he borrowed $2,500 @ an annual interest rate of 6% for 15 years

Answers

Answer: $2250

Step-by-step explanation: (2500x.06)=150

150x15=2250

Answer:

I think you want the monthly payment.  (Equation is attached).

Monthly Payment equals 21.10

If you are looking for the total interest paid then we need the

Total Loan Cost Formula. (attached)

The monthly loan rate is .06 / 12 = .005 and

number of payments = 12 months * 15 years = 180

Total Cost = .005 * 2,500 * 180 / 1 -(1.005)^-180

= 3,797.36

Total Cost  3,797.36

Minus Principal 2,500

Equals total interest paid = 1,297.36

Step-by-step explanation:

1. (16 points) John wants his friends to figure out what number he is thinking of. He gives
them three clues: an
It is a whole number.
The number divided by 2 is greater than 9 and less than 13.
The sum of its prime factors is 9.
A. What are the possible numbers that John could be describing?

Answers

i’m sorry this isn’t an answer but hat kind of people play a game like that?

Answer: John is thinking of the number 20

please rate my answer

what is 8 times 5/6​

Answers

Answer:

it is 6.66

Step-by-step explanation:

Find A U B. A){3,7}B){3,5,6,7}C){2,3,5,7,8,9,12}D){3,5,6,7,8,11,12}

Answers

Answer:

{3,5,6,7}

Step-by-step explanation:

We need only to pick numbers from 2 sums, A and B, together

The union of the two sets is:

A U B = {3, 5, 6, 7, 8, 11, 12}.

Option D is the correct answer.

What is a set?

A set is a collection of items where there are operations such as:

Union of sets, the intersection of sets, and the complement of sets.

We have,

The union of two sets A and B, denoted as A U B, is the set that contains all elements that are in either set A or set B or in both.

To find A U B, we combine the elements of both sets and remove any duplicates.

A = {3, 5, 6, 7}

B = {6, 7, 8, 11, 12}

To find A U B, we combine the elements of both sets:

A U B = {3, 5, 6, 7, 8, 11, 12}

Therefore,

A U B = {3, 5, 6, 7, 8, 11, 12}.

Learn more about sets here:

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The complete question.

A = {3, 5, 6, 7}
B = {6, 7, 8, 11, 12}

plz help god bless if do only 5 stuff to do :3

Referring to the tables above, which students have earned exactly five minutes of free time on Friday? Select all that apply.

Winslow
Amelia
Demetrius
Harley
Jackson
Tyler
Jasmine
Joe
None of the students


Referring to the tables above, which students will receive notes home on Friday? Select all that apply.

Winslow
Amelia
Demetrius
Harley
Jackson
Tyler
Jasmine
Joe
None of the students

Referring to the tables above, which students will receive no rewards or consequences? Select all that apply.

Winslow
Amelia
Demetrius
Harley
Jackson
Tyler
Jasmine
Joe
None of the students

Referring to the tables above, which students will receive at least ten minutes of free time on Friday? Select all that apply.

Winslow
Amelia
Demetrius
Harley
Jackson
Tyler
Jasmine
Joe
None of the students

Referring to the tables above, which students will receive at least fifteen minutes of free time on Friday? Select all that apply.

Winslow
Amelia
Demetrius
Harley
Jackson
Tyler
Jasmine
Joe
None of the students

Answers

Ok I got it.

Question 1 - Demetrius, Jackson, Tyler, and Amelia

Question 2 - Winslow

Question 3 - Joe

Question 4 - Harley and Jasmine

Question 5 - No one recieves fifteen minutes of free time

I hurried this one because Imma go see avengers endgame.

I hope this helps you very much.

I would appreciate making me the brainliest.

Thanks in advance

jelanie wrote the system of linear equations below to represent the number of student and adult tickets he and his friend sold to their school play 12s+10a=128 16s+21a=232 jelani also wrote the augmented sound matrix to represent this system which matrix could melanin have written

Answers

Answer:

[tex]\left[\begin{array}{ccc}12&10&|128\\16&21&|232\end{array}\right][/tex]

Step-by-step explanation:

The two equations Jelani wrote are:

12s+10a=128

16s+21a=232

The coefficient matrix is:

[tex]\left[\begin{array}{cc}12&10\\16&21\end{array}\right][/tex]

The constant matrix is:

[tex]\binom{128}{232}[/tex]

The augmented matrix is the combination of the coefficient matrix and the constant matrix.

[tex]\left[\begin{array}{ccc}12&10&|128\\16&21&|232\end{array}\right][/tex]

Answer:

[tex]\large\boxed{\left[\begin{array}{ccc}12&10&128\\16&21&232\end{array}\right] }[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}ax+by=n\\cx+dy=m\end{array}\right\Rightarrow\left[\begin{array}{ccc}a&b&n\\c&d&m\end{array}\right][/tex]

[tex]\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}12s+10a=128\\16s+21a=232\end{array}\right\Rightarrow\left[\begin{array}{ccc}12&10&128\\16&21&232\end{array}\right][/tex]

For a certain experiment, if we expect to get a red marble twelve times in 60 trials, what is the theoretical probability of getting a red marble? 1/12 1/10 1/5 1/4

Answers

Answer:

1/5

Step-by-step explanation:

You expect to get 12 red marbles out of 60 trials.

So, you expect to get a red marbles 12/60 of the times.

We can simplify that 12/60 to 1/5, which is a choice of answers. :-)

We assume here you correctly assume your probability level when you did your forecast of 12/60.  And either you're picking from a small pool and re-insert the marble, or you have a very large amount of marbles (at least 60).

What is the domain of y=cos(2x)?

Answers

Answer is C: (-∞, ∞)

Answer:

Step-by-step explanation:

There is no restriction on the input values of x , since it is periodic it can have any real value. Hence the domain of cos (2x) is (-∞,∞).

Because cos is periodic the output value keeps on repeating for any smaller or bigger input x .

If the hypotenuse of a 45°-45°-90° triangle is 13, what is the length of one of the legs?

Answers

Answer:

9.19

Step-by-step explanation:

Using Law of sines to find other two lengths:

a/sinA=b/sinB

let a be length of side unknown and b be hypotenuse then sinB=sin90 and sinA=sin45

a/sin45=13/sin90

a=13sin45

a=13(0.707)

  =9.19

As the given triangle is isosceles hence the length of other two legs will be same i.e 9.19 !

Hw 30 surface area.

Answers

Answer:

5. LA = 301.6 sq. cm.,  SA = 402.1 sq. cm.

6. LA = 377.0 sq. in.,  SA = 603.2 sq. in.

7.  LA = 113.1 sq. cm.,  SA = 169.6 sq. cm.

8. LA = 502.7 sq. cm.,  SA = 603.2 sq. cm.

9. 396 sq. in.

Step-by-step explanation:

The lateral area is the area of all the faces, except the base(s). The surface area is the area of ALL the faces of the shape.

5.

The lateral area of a cylinder is given by the formula:

LA = 2πrh

where r is the radius and h is the height of the cylinder

So, lateral area would be 2π(4)(12) = 301.6 sq. cm.

The surface are would be the lateral area (301.6) PLUS the area of 2 of the circular bases. Circle has an area of πr^2.

So 2 bases would have area of (π(4)^2)*2=100.5

Thus, the surface area = 301.6 + 100.5 = 402.1

6.

The lateral area would be LA = 2πrh

The radius is given as 6 and height as 10. Plugging it would give us:

LA = 2πrh = 2π(6)(10) = 377.0 sq. in.

For the surface area, we would need to add the top and bottom (which are 2 identical circles with area πr^2 each) with the lateral area. So we have:

2 * (π(6)^2)

=226.2

Surface area = 377.0 + 226.2 = 603.2 sq. in.

7.

The radius of the cylinder is 3 and height is 6. We will plug them into the respective formulas.

lateral area:

LA = 2πrh = 2π(3)(6) = 113.1

surface area:

area of 2 circles (top and bottom) = (πr^2)*2 = (π(3)^2)*2 = 56.5

Surface area = 113.1 + 56.5 = 169.6

8.

diameter is given as 8, so radius is half of it. Hence, radius is 4 and height given as 20.

Plugging these values into the respective formula we will get the answer.

lateral area:

LA = 2πrh = 2π(4)(20) = 502.7

surface area:

area of both the circles (top and bottom) PLUS the lateral area of 502.7.

So, surface area = 502.7 + (πr^2)*2 = 502.7 + (π(4)^2)*2 = 603.2  

9.

The frosting area of area of two rectangles (left and right) + area of two rectangles (back and front) + area of rectangle (top).

So, surface area of the frosting part = 2 (4*15) + 2(4*12) + (12)(15) = 396

find the value of r in (4, r), (r, 2) so that the slope of the line containing them is -5/3

Answers

[tex]\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{r})\qquad (\stackrel{x_2}{r}~,~\stackrel{y_2}{2}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{2-r}{r-4}=\stackrel{\stackrel{given}{\downarrow }}{-\cfrac{5}{3}}\implies 3(2-r)=-5(r-4) \\\\\\ 6-3r=-5r+20\implies 6+2r=20\implies 2r=14\implies r=\cfrac{14}{2}\implies r=7[/tex]

Answer:

r = 7

Step-by-step explanation:

looking at the slope -5/3, -5 is the change in y and 3 is the change in x. so, we  have to start from the point ( 4 , r ) and get to the next point ( r , 2 ) by using the given slope. we would first add 3 to our x value in the first point since that's our change in x and we would get r = 7. then we can substitute that in the other point and it works perfectly.

i hope this helps :)

this is the rest of the first question​

Answers

-7x/7 > 56/7

x < -8

Diagram with a hollow dot on 8.

In circle P, what is the measure of DAB

*HELPP​

Answers

Answer:

218°

Step-by-step explanation:

We are given that arc AD is 128° and arc AB is 90°, because the measure of an arc is equal to its corresponding central angle, and ∠APB = 90°, since right angles are 90°.

Also, arc DAB combines arc AD and AB. That means that we add the measures. 90 + 128 = 218°

What substitution should be used to rewrite x8 – 3x4 + 2 = 0 as a quadratic equation?

Answers

Answer:

The substitution is

[tex]u = x ^ 4[/tex]

[tex]u ^ 2 -3u +2 = 0[/tex]

Step-by-step explanation:

We have the 8th degree polynomial equation

[tex]x ^ 8 - 3x^4 -+2 = 0[/tex]

To rewrite the equation as a quadratic function, take the common factor of the term x with the smallest exponent, in this case it is [tex]x ^ 4[/tex].

Now make a change of variable

[tex]u = x ^ 4[/tex].

So rewriting the equation in terms of u, we have:

[tex]u ^ 2 -3u +2 = 0[/tex]

Now the initial equation became a quadratic equation

Factoring is left:

[tex](u-2) (u-1) = 0[/tex]

[tex]u = 2[/tex] and [tex]u = 1[/tex]

[tex]x ^ 4 = 2[/tex] and [tex]x ^ 4 = 1[/tex]

Answer:

substitution should be p =  x⁴

Step-by-step explanation:

It is given that,

x⁸ -  3x⁴ + 2 = 0

we can rewrite the equation,

(x⁴)² - 3x⁴ + 2 =0

To find the substitution

Here we can see that x⁴ is common in two terms of the given equation

we can substitute p instead of x⁴, the equation becomes,

p² - 3p +2 = 0

Therefore substitution should be used to rewrite x8 – 3x4 + 2 = 0 as a quadratic equation is p =  x⁴

Anyone know if this is right?

Answers

(n-1)^2 = n^2 +1 -2n so the third option form top down

Answer:

n² - 2n + 1

Step-by-step explanation:

You are to square;

(n - 1)²

This is the same as,

(n - 1)(n - 1)

Multiplying the above we get;

n² - n - n + 1

Finally,

n² - 2n + 1

A health club charges non-members $5 per day to swim and $9 per day for an exercise class. Members pay a yearly fee of $300 plus $4 per day to attend an exercise class and no swim fee. If Robert swims and takes an exercise class every time he goes to the gym, which equation shows the number of days he must use the gym to make the membership worthwhile? m

Answers

Answer:

300+4x < (9+5)*x

Step-by-step explanation:

x is number of times Robert goes to the gym

Answer:

5d+ 9d=300+4d

Step-by-step explanation:

Answer on EDGE

the rectangular floor of a classroom is 36 ft in length and 32 ft in width and scale drawing of the floor has a length of 9 inches what is the area in square inches of the floor in scale drawing​

Answers

72 square inches.

Start by finding the dimensions of the scale drawing. If 36 divided by a number equals 9, then that number is 4. 36 / 4 = 9

So, you need to divide 32 by 4 as well to get 8.

This means the scale drawing is 9 inches long and 8 inches wide.

Finally, to find the area, multiply the length and width together. 9 * 8 = 72

The area of the scale drawing is 72 square inches.

How much is one ninth of three eights

Answers

Answer:    3/72, but read the explanantion!

Step-by-step explanation: Since we are trying to find 1/9 of 3/8, which is division, we use the method K, C , F

KCF stands for keep, change, flip.

1/9     (keep)             =                1/9

divided by (change) =        multiplied by

3/8 (flip)                    =                8/3

You then proceed with simple multiplication.

1/9*3/8= 3/72

3/72= 4.1666......

Hope this helps!!

Answer:

1/24

Step-by-step explanation:

Multiply:

1     3       1

--- * --- = -----

9    8      24

The image of (6, 9) under a dilation is (4, 6). The scale factor is -2 2/3 -2/3

Answers

Answer:

The scale factor is 2/3.

Step-by-step explanation:

Given data,

The given image is (6,9)

The image after dilation is (4,6)

The scale factor is calculated by dividing the resultant image by the initial image.

For example, if the initial dimensions are (x1, y1) and the final dimensions are (x2,y2). The scale factor is calculated using x2/x1 = y2/y1 = Scale Factor  

In our scenario,

x1  = 6

x2 = 4

y1  = 9

y2 = 6

Scale Factor = x2/x1

=> 4/6

=> 2/3

Similarly for y axis,

Scale Factor = y2/y1

=> 6/9

=> 2/3

Therefore, the scale factor is 2/3.

a dealer purchased a car for 24500 and marked it up 17%. what is the sticker price of the car?
a) $27,599
b) $26,500
c) $28,665
d) $28,425

Answers

The answer is B.$28,665!!

Answer:

C

Step-by-step explanation: 17 percent of 24500 is 4165 so 24500 plus 4165 is 28665, therefore the answer is C

mark me brainliest if this is right :)

A class of 25 students took a spelling test. Two students scored 100 on each test, nine students scored 95 on each test, ten students scored 90 on each test, three students scored 80 on each test and one student scored 70. What is the average score of the spelling test rounded to one decimal place? Enter your answer in the box.

Answers

data:

2 scored 100

9 scored 95

10 scored 90

3 scored 80

1 scored 70

set of data:

70, 80, 80, 80, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 95, 95, 95, 95, 95, 95, 95, 95, 95, 100, 100

to find the average score of the spelling test, we have to add all of the numbers up and then divide by 2

all of those numbers added up would be 2,265

next, divide 2,265 by 2

2,265 / 2 = 1,132.5

finally, round 1,132.5

= 1,133 (average score of spelling test)

A class of 25 students took a spelling test. The average score of the students on the spelling test is 90.6.

How to find the average data?

The average data is calculated as follows:

Add all the data elementsDivide the sum by the number of data items.

Calculation:

Given that,

A class of 25 students took a spelling test.

The data of scores of those students:

2 students - 100

9 students - 95

10 students - 90

3 students - 80

1 student - 70

Adding all the scores of each student:

2×100 + 9×95 + 10×90 + 3×80 + 1×70 = 2265

Dividing the sum by the number of students (25):

⇒ 2265/25

⇒ 90.6

Therefore, the average of the given data is 90.6.

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Can someone give me an explanation of how to do this.

Answers

[tex]\bf \sqrt{6x^2}\cdot \sqrt{18x^2}\implies \sqrt{(6x^2)(18x^2)}\implies \sqrt{108x^2x^2}\implies \sqrt{108(x^2)^2} \\\\\\ \begin{cases} 108=&2\cdot 2\cdot 3\cdot 3\cdot 3\\ &2^2\cdot 3^2\cdot 3\\ &(2\cdot 3)^2\cdot 3\\ &6^2\cdot 3 \end{cases}\implies \sqrt{6^2(x^2)^2\cdot 3}\implies 6x^2\sqrt{3}[/tex]

Answer:

the correct answer is option D. 6x²√3

Step-by-step explanation:

It is given that

√6x² * √18x²

To find the value of √6x² * √18x²

√6x² * √18x² = √(6x² ) * (18x²)

 = √(6 * 18 x² *x²)

 = √(6 * 6 * 3 x² *x²)

 = 6x√3

The equivalent of √6x² * √18x² =   6x²√3

Therefore the correct answer is option D.   6x²√3

Please help me I don’t understand

Answers

Answer:

the answer is 50 percent

Step-by-step explanation:because each of the lines count as 25% and the blue boxes are another 25% each.  so the answer is 50%

I don’t know what the answer is I wish I could help

A total of 771 tickets were sold for the school play. They were either adult tickets or student tickets. There were 71 more student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Answer:

350

Step-by-step explanation:

771=x+x+71   (x+71 is kids,x is adults)

2x=700

x=350

To find out how many adult tickets were sold, we set up equations based on the given information: total tickets and the difference between student and adult tickets. By solving these equations, we determined that 350 adult tickets were sold.

The question involves determining how many adult tickets were sold for a school play, given that a total of 771 tickets were sold and there were 71 more student tickets than adult tickets. To solve this, we can set up an equation to represent the situation.


Let A represent the number of adult tickets and S represent the number of student tickets. We know that:

A + S = 771 (The total number of tickets).S = A + 71 (There were 71 more student tickets than adult tickets).


Substituting the second equation into the first gives us A + (A + 71) = 771.

Simplifying, we get 2A + 71 = 771.

Subtracting 71 from both sides gives us 2A = 700.

Dividing both sides by 2 gives us A = 350.


Therefore, 350 adult tickets were sold for the school play

Alicia is making cupcakes for a party she is having and wants to make sure everyone gets at least 1 cupcake

The recipe calls for 1/2 teaspoon of salt for every batch and each batch makes 21 cupcakes if the part will have a total of 84 people attending how many teaspoon of salt will Alicia need.

Answers

2 teaspoons

21+21=42 so for every 1 teaspoon there is 42 people

42+42=84 so it’s 2 teaspoons

Answer:

Let's imagine that x is the number of teaspoon of salt needed to make at least 84 cupcakes.

So we know that, 1 batch makes 21 cupcakes, and we need at least 84 cupcakes, so the number of cupcakes batch needed here should be:

84 ÷ 21 = 4 (batches)

Since we knew the number of batches that we need to make the cupcakes, we now calculate the amount of sugar needed. We have:

1/2 teaspoon of salt for every 1 batch.

x teaspoon of salt for every 4 batches.

x = (4 . 1/2) . 1 = 2 (teaspoons)

Which function is represented by the graph below? (5 points) f(x) = 3x f(x) = 3x − 3 f(x) = 3x + 3 f(x) = 3(x + 3)

Answers

Answer:

The correct function should be  f(x) = 3^(x + 3).

A function assigns the values. The function that represents the graph below is f(x) = 3⁽ˣ⁺³⁾.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The function that can represent the graph below can be found by plotting the function on the calculator.

f(x) = 3ˣ – 3  ⇒ Black

f(x) = 3⁽ˣ⁺³⁾  ⇒ Red

f(x) = 3ˣ  ⇒ Blue

f(x) = 3ˣ + 3  ⇒ Green

Hence, the function that represents the graph below is f(x) = 3⁽ˣ⁺³⁾.

Learn more about Function:

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Please help!!!!!!!!!!

Answers

Answer:

1.

[tex]\dfrac{1}{2}at^2=vt-d[/tex]

2.

[tex]at^2=2(vt-d)[/tex]

3.

[tex]a=\dfrac{2(vt-d)}{t^2}.[/tex]

Step-by-step explanation:

First, express from the formula [tex]d=vt-\dfrac{1}{2}at^2[/tex] the term [tex]\dfrac{1}{2}at^2:[/tex]

[tex]\dfrac{1}{2}at^2=vt-d[/tex]

Now multiply this equation by 2:

[tex]at^2=2(vt-d)[/tex]

and divide it by [tex]t^2:[/tex]

[tex]a=\dfrac{2(vt-d)}{t^2}.[/tex]

Maria runs 10 miles every day. If she doubles her usual speed, she can run the 10 miles in one hour less than her usual time. What is her usual speed?

Answers

Answer:

Her usual speed is 5 miles an hour.

Step-by-step explanation:

Since it takes one hour for her to run ten miles that means she is running at 10 miles an hour. So if you divide that by 2 it would be five.

Have a nice and great day.

245.5 cm - 20 cm in standard form​

Answers

Answer:

Standard form of 245.5 cm - 20 cm

=225.5 cm

what is the expression for the difference between five times a number and twice that number?​

Answers

Answer:

5x-2x

///////////////

Step-by-step explanation:

Answer:

[tex]5x-2x[/tex]

Step-by-step explanation:

Let's call that number [tex]x[/tex].

when we are asked for a difference we must substract quantities.

In this case we need the difference between five times a number  (the number is represented by [tex]x[/tex]) and twice that number:

five times the number x is equal to

[tex]x+x+x+x+x=5x[/tex]

twice that number x is equal to:

[tex]x+x=2x[/tex]

thus, the difference is: [tex]5x-2x[/tex]

Other Questions
Use the drop-down menus to identify the key values of the box plot. The median is . The minimum is . The maximum is . The lower quartile (Q1) is . The upper quartile (Q3) is .ANSWERS:CA EB D In a hexagon, all but one of the angles have a measure of 110. What is the measure of the remaining angle? which organisms in this food web are producers? please select the two correct answersA - Green AlgaeB - Roseate spoonbillsC - MangrovesD - Mangrove water snakesE - American Crocodiles Which of the following is not a step in the Problem Solving Process?OA) CheckOB) PlanOC) MultiplyOD) Organize WILL MARK BRAINLIEST!! HELP ASAP!!!!!!!!In which THREE wars did Canadian soldiers fight alongside Americans?Civil WarRevolutionary WarWar of 1812World War IWorld War IIKorean Conflict Which component of blood transports oxygen? HELP PLEASE!!! I WILL FIVE STAR!! Kevin caught some fish. Of them 4/9 were herring, and 2/9 salmon. What was the total amount of fish, amount of herring and amount of salmon if there were 12 flounders? The only american president to resign from office was Someone explain to me how to do this How does the speech's final sentence connect to the first?The first sentence makes an emotional appeal; the final sentence makes an ethical appeal. The first sentence acknowledges the speaker's mentor; the final sentence says he will no longer fight with that mentor. The first sentence describes the speaker's longtime foe; the final sentence describes their agreement to no longer do battle. The first sentence acknowledges to whom the speaker is surrendering; the final sentence formally states that surrender. 2. Find the number of permutations of the letters in theword SMART. Hoy llegan nuestros padres de viaje, por eso es importante que todos (1) (saber) que vamos a limpiar la casa. Por favor, que mi madre (2) (encontrar) su cuarto muy bonito. Beatriz, por qu no (3) (llamar) t a la seora que prepara las tortas para que nos (4) (hacer) una torta de chocolate? Es la preferida de mi padre. Adriana, es mejor que no (5) (ir) hoy a la universidad y que nos (6) (ayudar) con la comida. Por favor, (7) (estar) todos en casa despus del medio da, para que nuestros padres nos (8) (ver) a todos juntos. Wendy made two rectangular prism jewelry boxes, one small and one large. The dimensions of the large jewelry box are threetimes the dimensions of the small jewelry box. If the surface area of the small jewelry box is 79 cm2, what is the surface area of thelarge jewelry box?A. 474 cm squaresB. 237 cm squaredC. 711 squared D. 2,133 cm squared What is missing from the co-accretion theory of lunar formation? An explanation accounting for the spherical shape of the moon. An explanation accounting for the presence of iron in the moon. An explanation accounting for the differences in density between the Earth and moon. An explanation accounting for the origin of the material that makes up the moon. The disks of spiral galaxies appear blue because Most contracts are discharged by mutual agreement of the parties. a. True b. False Select the functions of the U.N. Security Council.A.maintain peaceB.operate the U.N. officesC.stop aggressionD.prevent famineE.promote literacyE2.settle disputes key benefits of the government's investing in innovation The volume of a rectangular prism is represented by the function x3 + 9x2 + 6x 16. The length of the box is x + 2, while the height is x + 8. Find the expression representing the width of the box.