he tables represent the functions f(x) and g(x). A table showing g(x) equals 2 x plus 15 with 2 columns and 7 rows. The first column, x, has the entries, negative 15, negative 12, negative 9, negative 6, negative 3, 0. The second column, g(x), has the entries, negative 15, blank, blank, blank, blank, 15. Which input value produces the same output value for the two functions? x = –12 x = –9 x = –6 x = –3

Answers

Answer 1

Answer:

Answer:

C

Step-by-step explanation:

Answer 2

Answer:

x=-6

Step-by-step explanation:

i got a hundred on the test


Related Questions

One cubic foot of concrete weighs about 145 pounds. What is the weight of 19 cubic feet of concrete?​

Answers

Answer:

2755

Step-by-step explanation:

One cubic foot=145 pounds, so we can do 145x19=2755 lbs.

The required weight of 19  cubic feet of concrete is 2755 pounds.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
One cubic foot of concrete weighs about 145 pounds.
weight of 19 cubic feet of concrete = 19 × 145 = 2755 pounds.

Thus, the required weight of 19  cubic feet of concrete is 2755 pounds.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

ethan sorts shapes into two groups as shown what mistakes did ethan make

Answers

Ethan's mistakes in sorting the shapes into two groups are:

Shape C does not belong to group 1  because it does not have square cornersShape F does not belong to group 2  because it does not have any square cornersHow to spot the mistakes?

From the complete question (see attachment), the shapes are grouped using the following criteria:

All the shapes in group 1 have 4 square cornersAll the shapes in group 2 have exactly 1 square corner

Using the above rules, Ethan's mistakes are: shapes C and F are placed in the wrong groups

Read more about sorting at:

https://brainly.com/question/15049854

#SPJ1

Nasim is flying a kite, holding his hands a distance of 2.5 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 28 degrees. If the string from the kite to his hand is 105 feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary.

Answers

The height of Nasim kite above the ground is 51.79 feet

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height from Nasim hand to the kite, hence:

sin(28) = h / 105

h = 49.29

Kite height above the ground = 2.5 + 49.29 = 51.79 feet

The height of Nasim kite above the ground is 51.79 feet

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

please help ILL GIVE BRAINLIESST I NEED TWO PPL TO ANWSER SO I CAN GIVE IT !! EXPLANATION PLEASE

Answers

Answer:

∠ECB

Step-by-step explanation:

The angle which is vertical to ∠HCI is ∠ECB.

A vertical angle has the equal angle measure to the angle opposing it.

Hence, our answer is understood.

Which expression shows the factors of 9x2 3x − 2? a. (3x − 1)(3x − 2) b. (3x 1)(3x − 2) c. (3x 2)(3x − 1) d. (9x − 2)(x 1)

Answers

The complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)

How to determine the complete factorization?

The expression is given as:

9x² + 3x - 2

Expand the equation

9x² + 3x - 2 = 9x² + 6x - 3x - 2

Factorize the expression

9x² + 3x - 2 = 3x(3x + 2) - 1(3x + 2)

Factor out 3x + 2

9x² + 3x - 2 = (3x - 1)(3x + 2)

Hence, the complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)

Read more about expressions at:

https://brainly.com/question/723406

#SPJ4

Answer:

Factor by grouping.

(3x−1)(3x+2)

Step-by-step explanation:

Tony bought a $25 hornets t-shirt and used a coupon for a 25% discount. Keith bought an identical t-shirt at a different store for $19.95. which statement is true?
A.Tony paid $2.55 less than keith paid.
B.Tony paid $1.20 less than keith paid.
C.Keith paid $2.55 less than tony paid.
D.Keith paid $1.20 less than tony paid.

Answers

Answer: Tony paid $1.20 less than Keith paid.

Step-by-step explanation: Easy math, try asking your teacher for help. It takes time.

mutiply (x-3)(4x+2) using the foul method

Answers

Answer: [tex]4x^2-10x-6[/tex]

Step-by-step explanation:

[tex](x-3)(4x+2)[/tex]

[tex]Expand[/tex] [tex]the[/tex] [tex]polynomial[/tex] [tex]using[/tex] [tex]the[/tex] [tex]FOIL[/tex] [tex]method[/tex].

Therefore your answer is [tex]4x^2-10x-6[/tex]

Answer:

4x^2 -10x + 6

Step-by-step explanation:

multiply (x-3)(4x+2) using the foil method

(x*4x)+(x*2)+(-3*4x)+(3*2)= 4x^2+2x-12x+6 = 4x^2 -10x + 6

At a park, the logging trail is a circle with a radius of 200 meters. how far is it around the trail? use 3.14 or pi. show your work

Answers

Answer:

400π

Decimal Form:

1256.63706143

Explanation: To find the around the trail, you'll use the circumference formula.

2πr

2 x 3.14 x 200

Plot the points on the coordinate plane and answer the questions. K(11, ....), L(...., 11), and M(40, ....) are on that line, too. What are the missing coordinates?​

Answers

Answer:

K(11,19), L(7,11), M(40,77).

Step-by-step explanation:

A drama class has a total of 35 students the number of females is 13 less than the number of males. How many males and how many females are in the class

Answers

Subtract the difference of girls and boys from total kids:

35 -13 = 22

Divide 22 in half:

22/2 = 11


number of females = 11

Number of males = 11 + 13 = 24

Answer:

24 males, 11 females

Step-by-step explanation:

Solved with equations:

m = males, f = females

The equations:

[tex]m+f=35\\m-f=13[/tex]

Add the two equations:

[tex]2m=48[/tex]

[tex]m=48/2=24[/tex] males

Number of females:

[tex]24+f=35\\f=35-24\\f=11[/tex]

Hope this helps

Darci sets up a room for a banquet.
She has 54 chairs. She places 9 chairs
at each table. How many tables have
9 chairs?

Answers

Answer:

6 tables

Step-by-step explanation:

54 chairs divided by 9 chairs = 6 tables have 9 chairs :)

Answer:

Step-by-step explanation:

Given:

There are 54 chairs in total.She places 9 chairs at each table.

To find:

Amount of tables that have 9 chairs.

Solution:

⇒ 1 : Based on the given conditions, formulate

⇒ 54 ÷ 9

⇒ 2 : Calculate

54

----

9

= 6.75

Round down in this case, so

⇒ Answer: 6.

I’ll give brainliest!

Answers

Step-by-step explanation:

Line L passes through point (0,2) and (4,0)

If you want to find the gradient of Line L, you can use this formula :

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex]m = \frac{0 - 2}{4 - 0} [/tex]

[tex]m = \frac{ - 2}{4} [/tex]

[tex]m = - \frac{1}{2} [/tex]

9. The number of books in a class library is 17 more than 3 times the number of students in the class. If 5 students are absent, each student can borrow exactly 4 books from the library. Find the number of students in the class.​

Answers

Answer: 37 students in the class

Step-by-step explanation:

Let n = number of books,

Let s = number of students

We get the following expressions:

n = 3s + 17

4 = [tex]\frac{n}{s-5}[/tex]

Solve this system using substitution:

[tex]4=\frac{3s+17}{s-5}[/tex]

[tex]4(s-5) = \frac{3s+17}{s-5} (s-5)[/tex]

[tex]4s -20 = 3s+17\\[/tex]

[tex]s-37 = 0\\[/tex]

[tex]s=37[/tex]

why π is not equal to 3.1416 ​

Answers

Answer:

pi is an irrational number, meaning that its decimal form neither ends (like 1/4 = 0.25) nor becomes repetitive

Step-by-step explanation:

In decimal form, the value of pi is approximately 3.14. But pi is an irrational number, meaning that its decimal form neither ends (like 1/4 = 0.25) nor becomes repetitive (like 1/6 = 0.166666...). (To only 18 decimal places, pi is 3.141592653589793238.)

Find the equation of a line parallel to -x + y = -5 that passes through the point
(-6,-8).
Oy=x-5
O-x+y=-2
Submit Answer
Oy=-x-2
O-z-y=14

Answers

Answer:

O -x+y=-2

Step-by-step explanation:

-x + y = -5

⇔ y = x - 5

a line parallel to y = x - 5 must have the same slope as the line y = x - 5

Then

The equation of the parallel line is of the form : y = x + p

Finding p :

the point (-6,-8) lies on the parallel line means :

-8 = -6 + p

Then

p = -8 + 6 = -2

Finally :

y = x - 2 ⇔ -x + y = -2

If as = 24, a, = 40, then find a20

Answers

Answer:

[tex]a_{20}[/tex] = 84

Step-by-step explanation:

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + ( n - 1 )d

~~~~~~~~~~~~~

[tex]a_{5}[/tex] = [tex]a_{1}[/tex] + (5 - 1)d = 24

[tex]a_{9}[/tex] = [tex]a_{1}[/tex] + (9 - 1)d = 40

[tex]a_{1}[/tex] + 4d = 24 ........... (1)

[tex]a_{1}[/tex] + 8d = 40 ........... (2)

(2) - (1)

4d = 16 ⇒ d = 4

[tex]a_{1}[/tex] + 8(4) = 40 ⇒ [tex]a_{1}[/tex] = 8

[tex]a_{20}[/tex] = 8 + ( 20 - 1 ) × 4 = 84

2) A 6-pack of energy drinks costs $3.00. The unit rate is $
Your answer

Answers

6/3.00 = 2
Dive the energy drinks by $3 so the unit price for each one is $2
Answer: $0.5

Step-by-Step Explanation:

6-pack cost = $3
Unit Rate = ?

Therefore,
= 3/6
= 1/2
= 0.5

Unit Rate = $0.5

PLEASE HELP
a41= 5 7 2

Answers

The answer is a= 572/41

Please help asap a spinner with 4 sections is spun 30 times. based on these results, what is the experimental probability that the next time the spinner is spun, it lands on yellow?
a. 4/15
b. 1/5
c. 7/30
d. 3/10

Answers

The experimental probability that the next time the spinner is spun, it lands on yellow is 4/15

How to determine the experimental probability?

From the table of values, we have:

Yellow = 8

Total = 30

The experimental probability is then calculated using:

P(Yellow) = Yellow/Total

This gives

P(Yellow) = 8/30

Simplify

P(Yellow) = 4/15

Hence, the experimental probability is 4/15

Read more about probability at:

https://brainly.com/question/25870256

#SPJ1

plssss helppp meeeee​

Answers

Answer: s = 47°

Step-by-step explanation:

     This shape is a hexagon because it has 6 sides.

-> There are 720° total in a hexagon.

   Using this information, we will add together all the angles, set it equal to 720°, and solve for x.

(3s - 41)° + (3s - 12)° + (3s - 38)° + (3s)° + (125)° + (3s-19)° = 720°

3s° - 41° + 3s° - 12° + 3s° - 38° + 3s° + 125° + 3s° - 19° = 720°

3s° + 3s° + 3s° + 3s°+ 3s° - 12° - 38° - 41° + 125° - 19° = 720°

15s° + 15° = 720°

15s° = 705°

s = 47°

timothy's video game the levels starts with 30 aliens each worth five points Timothy already shot 6 of them how many more points can he get if he shoots the rest on this level?

Answers

Answer:

70 points

Step-by-step explanation:

What is the circumference of the circle?

Answers

Answer:

[tex]\huge\boxed{\bf\:E) \: \: 31.4 \: \:feet}[/tex]

Step-by-step explanation:

Since the tetherball is in the centre of the circle, any distance from it to the edge of the circle will be its radius. So, radius (r) = 5 ft.

Now, the formula for the cirumference of a circle = 2πr

Circumference of the circle

= 2πr

= 2 × 3.14 × 5                      [π = 3.14]

= 31.4 feet (option E)

[tex]\rule{150pt}{2pt}[/tex]

               - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}}\diamond[/tex]

          What is the circumference of the circle? (Its radius is 5 ft)

[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]

The distance from the tetherball pole to the edge of the circle is the radius of the circle; we're given that it's 5 feet (ft).

We're asked to find the circumference of the circle, which can be found using the following formula:-

❖  [tex]\sf{C=2\pi r}[/tex]

Where:-

C=circumferenceπ=pi (3.14...)r=radius

Substitute 5 for r:-

[tex]\sf{C=2\pi (5)}[/tex]

On simplification,

[tex]\sf{C=10\pi}[/tex]

On further simplification,

[tex]\sf{C=31.4\:feet}[/tex]

So we conclude that the right option is:-

[tex]\checkmark\dashrightarrow\bigstar\boxed{\boxed{\bold{Option\:E}}}\bigstar\dashleftarrow\checkmark[/tex]

Good luck.

       -- - - - - - - - - - - - - - - - - - - - - - -- - - - - - - -

On a map one inch is equal to 125 miles. There are six inches between Happyville and Glumtown. How many miles are between the two towns?
(I will make brainliest)​

Answers

Answer: 750

Step-by-step explanation:

6x125=750 hope this helps

Mrs.Howard paid 45$ for 3 packs of diapers. Write an equation relatin the cost, c , to the number of packs of diapers, d. The equation should be form of direct variation, and use the ewuation you wrote for this to find out how much mrs..howard would pay for 11 packs of diapers. Please help, worth lots of points,

Answers

Answer:

165 is your cost in dollars

Step-by-step explanation:

d = 15c

11 * 15c = 165c

The tree diagram represents an
experiment consisting of two trials.
Enter the probability to the hundredths place.
Do not round.

Answers

The value of the probability P(D) is 0.74

How to estimate the probabilty?

Using the tree diagram, the value of P(D) is represented as:

P(D) = P(B and D) + P(A and D)

Using the values on the tree diagram, we have:

P(D) = 0.4 * 0.8 + 0.6 * 0.7

Evaluate

P(D) = 0.74

Hence, the value of the probability P(D) is 0.74


Read more about probability at:

https://brainly.com/question/25870256

#SPJ1

find the surface area of this cylinder, round to the nearest tenth

I'll give brainliest

Answers

Answer:

113.1

A = 2πrh + 2πr² = 2 × π × 3 × 3 + 2 × π × 3² ≈ 113.1

A landscape design company is building a large gazebo for a backyard. It is in the shape of the
regular polygon shown below, where the measurements are in feet. They need to purchase wood
for the floor. It costs $10 per square foot for the special wood the homeowner wants. Find the cost
of the gazebo's flooring. Recall A = ap for the area of a regular polygon:

Answers

The area of the heptagon will be 533.61 square feet. Then the cost of the gazebo's flooring will be $ 5336.1.

What is a polygon?

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

A landscape design company is building a large gazebo for a backyard. It is in the shape of the regular polygon shown below, where the measurements are in feet.

A heptagon is given with an apothem of 12.6 ft and a side length of 12.1 ft.

Then the area of the heptagon is given as

Area of heptagon = 7 x area of a triangle

Area of heptagon = 7 x 0.5 x 12.1 x 12.6

Area of heptagon = 533.61 square ft

If the costs $10 per square foot for the special wood the homeowner wants.

Then we have

Total cost = 10 x 533.61

Total cost = $ 5336.1

More about the polygon link is given below.

https://brainly.com/question/17756657

#SPJ1

Which of these equations have no solution? check all that apply. 2(x 2) 2 = 2(x 3) 1 2x 3(x 5) = 5(x – 3) 4(x 3) = x 12 4 – (2x 5) = (–4x – 2) 5(x 4) – x = 4(x 5) – 1

Answers

Since we cannot determine the unknown variable, hence the equation 5(x + 4) - x = 4(x+5) -  1 has no solution

Equations with no solutions

Equations with no solutions has two of its sides to be equal.

From the given option, we can check he equation

5(x + 4) - x = 4(x+5) - 1

Expand

5x + 20 - x = 4x + 20 -1

4x +20 = 4x + 19
4x - 4x = -1

Since we cannot determine the unknown variable, hence the equation 5(x + 4) - x = 4(x+5) -  1 has no solution

Learn more on no solution here: https://brainly.com/question/1792644

#SPJ4

Amala listed her assets and liabilities. credit card balance car (paid in full) jewelry student loan savings account stocks $850 $2,200 $125 $2,500 $1,200 $1,500 what is the total of amala’s liabilities? $850 $2,500 $3,350 $5,550

Answers

The  total of amala’s liabilities will be $5,500.

What is liabilities income?

Passive income is the amount you receive that comes from the remuneration of your investments in financial market products. That is, it is generated regardless of your effort.

In this case, the total will be:

Total amount of Amala’s liabilities = Credit card balance  + car + student loan

So, we have:

[tex]850 + 2200 + 2500 = $5500[/tex]

See more about finances at brainly.com/question/13607099

#SPJ4

Answer:

$3,350

Step-by-step explanation:

This is because her car is paid in full it is no longer a liability it is an asset making the person above incorrect. The credit card balance + the student loans = 3,350

Mrs. Clements has a table with a top that is shaped like the trapezoid shown. Find the area of the table top in square feet? hurry plss

Answers

It is to be noted that the area of the Trapezoid is: 28 Feet. See the details of the solution below.

What is the formula for the area of a Trapezoid?

The formula for the area of a regular Trapezoid is:

A = h * ((a+b)/2);

Where

A = Area

a  = Short Base

b = Long Base

h = Height

So what is the solution for the above trapezoid?

Following the above formula,

A = 4 * ((5+9)/2)

A = 4 * (14/2)

A = 4 * 7

A = 28 Feet.

Learn more about Trapezoids at:
https://brainly.com/question/1410008
#SPJ1

Other Questions
25) Ted spent $25 on a shirt and $89 on a pair of shoes. Ted had $40 left in his wallet. How much money did Ted have before he spent moneyon a shirt and shoes?A) $114B) $144C) $154D) $164 Choose one of the themes of the American Romantic movement. Discuss whether it has a place in today's Americansociety. Support your answer with examples. Your answer should be at least 150 words. Question 5 of 25Which graph shows a system with an infinite number of solutions?A. Graph AB. Graph CC. Graph B Which are differences of perfect cubes? select two options. 9a3- 27 125a12 - 72 216a6 - 27y3 8a15 - 27 225a3 - 216 Explain the Establishment Clause of the First Amendment. Can a triangle be made with the sides 15, 15, 30? You accidentally dropped a coin from the top of 12 stairs. What is the probability that it will land on the fifth step heads up?This is a probability question! I need help ASAP Brain is most active during which portion of sleep cycle Tandem Cycling Triplets Peter, Reeta and Nikita have two ways for getting home from school each day: cycle on a tandem bike or walk. The bike can carry either one or two riders at a time. Regardless of the number of people pedalling, cycling speed is 5 times walking speed. The triplets always leave school at the same time and always use the same path between school and home, whether walking or cycling. The school is 5 km from home and their walking speed is 4 kilometres per hour. a On Monday, Nikita and Peter cycle and Reeta walks. On reaching the point four-fifths of the way home the bike gets a puncture, so Nikita and Peter walk the rest of the way home. How far from school is Reeta when the cyclists arrive home? b On Tuesday, Peter and Reeta ride the bike and Nikita walks. When the cyclists arrive home, Peter hops off the bike and Reeta rides back towards school to collect Nikita. How far from school is Nikita when Reeta reaches her? c On Wednesday, Reeta and Nikita take the bike and Peter walks. When the cyclists are halfway home, Reeta off and walks the rest of the way, while Nikita heads back to pick up Peter. How far from school is Reeta when her siblings pass her on the bike? d On Thursday, it is Reeta's turn to walk. Peter drops Nikita off at a certain point leaving her to walk home. Meanwhile he returns to pick up Reeta and they cycle home together. If all three arrive home at the same time, how far from school are the drop-off and pick-up points? Based on what you have read, choose each response below that correctly describes a US interest in Asia or Latin America.Check all of the boxes that apply.promoting national securityestablishing democracycreating free trade I need help I dont know the answer The Choice 1 Two more weeks was all that stood between Jesse and his tenth birthday! He felt taller just thinking about it. Being double digits was a big deal, and so was the epic birthday party Jesse was hoping to have with all of his friends. Stronger, popular, excited, older. ANSWWER BOTH PWEASE2 The party was such a big deal that Jesse had been in his bedroom for an eternity debating who he should invite. Should it be a massive party with everyone he knew, or should he keep it small so that he could spend more time with each of his closest friends? 3 It wasn't long before Jesse was summoned by his mom. "Do you have that list for me yet, Jesse?" she called up the stairs. He hurriedly wrote down the final nameTim, a friend he had been playing soccer with for two years. Then, clutching the list like a prized possession, he sprinted down the stairs, relieved to deliver the news to his mom. She scrutinized it, and Jesse could almost read her mind. "What's wrong, Mom?" 4 "Well," she began, "I see that you invited all of the boys in your class except Michael, the boy who just moved here from Indiana."5 "I know," Jesse began to explain, getting defensive, "but I don't know him very well at all. He probably wouldn't like the activities we have planned and wouldn't have any fun." 6 His mom was quiet for a moment. "It's your party," she said, "but I want you to spend the next day giving that some additional consideration. In all probability, Michael doesn't know many people here yet, and he may appreciate being included. Also, what if he finds out that he was the only boy not invited?" 7 "Fine," Jesse said, heading back up to his room to play video games, not intending to give it much thought at all. But, later that day, he reluctantly found that he was not only thinking about his new classmate, Michael, but also about when he himself first started playing soccer. 8 That first day, he was anxious and hesitant to step out on the field. He wasn't exactly an introvert, but it did take him some time to get accustomed to new situations and make friends. Plus, he knew that most of the team had been playing longer, and they had already developed connections. Lucky for him, Tim was on his team. Even though no one was rude, it was Tim who made sure he was included in all of the goofing around that occurred after practice and always called him over to sit next to him when the team went out for food after a big win. Two years later, it was this same Tim he considered his closest friend. 9 So, when Jesse distributed the invitations at school the following day, his stack included one for Michael. As the class proceeded outside for recess, his teacher, Mrs. Marks, requested that Jesse remain behind for a minute. "Great," thought Jesse, "what did I do wrong now?" But Mrs. Marks wore a big smile when he approached.10 "I noticed that you invited Michael to your party," she said. 11 "Yes, "Jesse replied, feeling slightly unaccustomed to such positive attention from his teacher. He knew that Mrs. Marks felt that he needed to work harder from time to time.12 "Well, I think that was a wonderful and gracious thing to do for someone who is new," she continued. "You probably don't realize this, but Michael's dad is still working in Indiana and will be there for a few more months. I know that's been difficult for Michael, and I'm sure this invitation will mean a lot to him and his mom." 13 Jesse had no idea about Michael's dad, or why Michael's mom would care about a party, but Jesse felt good knowing that Mrs. Marks was proud of him. In fact, Michael's mom was the first to call and accept the invitation to the party. She said that Michael was really looking forward to it.14 When the day of the party came, Jesse felt like he was going to explode with excitement. Tim was the first to arrive, and he and Jesse started playing basketball in the driveway. Michael came next, and he stood off to the side watching them. Looking at Tim, and then Michael, Jesse remembered that first season of soccer. He tossed the ball to Michael, who surprised them by making a nearly impossible shot from where he was standing! "Whoa! How did you do that?" Jesse exclaimed. From then on the party flew by. By the time everyone went home, Jesse was thankful that he had been given the push he needed to find a new friendship. Show that the points A(-1,2), B (5,2) and C (2,5) are the vertices of an isosceles triangle. Find the area of ABC Most asteroids orbit the Sun between:A. Mercury and Venus.B. Mars and Jupiter.C. Neptune and Pluto.D. Saturn and Uranus. i need help with this math Which of the following is the correct pairing of the psychological perspective and therapy treatment?o Humanism and Psychotherapyo Psychodynamic and Token Economyo Behaviorism and Client-Centered Therapyo Cognitive and Rational Emotive Therapy Mr. Millar's garden is in the shape of a trapezoid shown below. What is the area of the garden? On a DVD, information is stored on bumps that spiral around the disk. There are 73,000 ridges (with bumps) and 73,000 valleys (without bumps) across the diameter of the DVD. What is the diameter of the DVD in centimeters? Round your answer to the nearest whole number. Read the excerpt from act 1, scene 3, of The Tragedy of Julius Caesar and the background information on the allusion it contains.Excerpt:CASSIUS. Theres a bargain made.Now know you, Casca, I have moved alreadySome certain of the noblest-minded RomansTo undergo with me an enterpriseOf honourable dangerous consequence.And I do know by this, they stay for meIn Pompeys Porch. For now this fearful nightThere is no stir or walking in the streets;And the complexion of the elementIn favours like the work we have in hand,Most bloody, fiery, and most terrible.Background information:Gnaeus Pompeius Magnus, known in English as Pompey the Great, was a Roman general and political leader. Together with Caesar and Crassus, Pompey ruled as a member of the first Roman triumvirate. As a leader, Pompey was a capable administer and worked to help Rome grow and prosper. Among other projects, he built a large amphitheater in Rome. This amphitheater was named after him, and its annex became known as Pompeys Porch. During this time, Pompey married Caesars daughter, Julia. After her death, however, Pompey and Caesar began to grow apart, and within a few years, Pompey sided with the senate against Caesar. War followed. In 48 BCE, Pompeys armies were defeated, and he was murdered by former allies who were afraid of Caesars power.The underlined lines are an example of acultural allusion.historical allusion.literary allusion.religious allusion.Mark this and return 1. Which is true of President Johnson's plan for Reconstruction?