Which system is equivalent to startlayout enlarged left-brace 1st row y = negative 2 x squared 2nd row y = x minus 2 endlayout?.

Answers

Answer 1

The required inverse of the given function is expressed as [tex]y=\sqrt{\frac{x+10}{7} }[/tex]

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

Replacing y with x

x = 7y² – 10

Making y the subject of the formula:

7y² = x+ 10

Dividing both sides by 7

7y²/7 = (x+10)/ 7

y² = (x+10)/ 7

Taking the square root of both sides

[tex]\sqrt{y^{2} } =\sqrt{\frac{x+10}{7} }[/tex]

[tex]y=\sqrt{\frac{x+10}{7} }[/tex]

Hence the required inverse of the given function is expressed as  [tex]y=\sqrt{\frac{x+10}{7} }[/tex]

Complete question:

Which equation is the inverse of y = 7x² – 10

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Related Questions

How do you solve the mean error?

Answers

ME adds up the variances and divides the result by n. In this context, an error is defined as an uncertainty in a measurement or the difference between the measured value and the true/correct value.

What is mean?

In mathematics and statistics, the mean is the average of a set of variables. The simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean are all ways for calculating the mean. The mean (average) of a data set is computed by adding all of the numbers in the set and dividing by the number of values in the set. When arranging data from smallest to greatest, the median is the value in the middle. The mode is the most commonly occurring number in a data set.

Here,

Subtract each measurement from another.

Find the absolute value of each difference from Step 1.

Add up all of the values from Step 2.

Divide Step 3 by the number of measurements.

Mean Error (ME) is calculated by adding the variances and dividing the result by n. An error in this sense is an uncertainty in a measurement, or the discrepancy between the measured value and the true/correct value.

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8. The speed of an object can be found by taking the distance it travels and dividing it by the
time it takes to travel that distance. An object travels 100 feet in 2.5 seconds Let the speed, be
measured in fleet per second. Write an equation to represent the relationship between the three
quantities (speed, distance, and time).

Answers

Speed of object = 40 feet per second

What is speed and its formula?Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed. The units will be in metres per second (m/s) in this example since the distance is measured in metres (m) and the time is measured in seconds (s).Speed is what it means. the speed at which an object's location changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar number.Based on the distance travelled in a certain amount of time. These automobiles can travel at speeds of more than 150 kilometres per hour (km/h). Meters per second (m/s) is the fundamental unit of speed in the metric system.

Given data :

Distance cover by object = 100 feetTime taken by object = 2.5 seconds

Equation represent speed is s = d/t

Assume;

Speed = S

Time taken = T

Distance cover = D

So,

Speed = Distance / Time

S = D / T

Speed of object = 100 / 2.5

Speed of object = 40 feet per second

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5 dogs had long hair out of the 8 dogs at the park. What percent of the dogs had long hair? Round your answer to the nearest whole percent.

Answers

Answer:

62.5%

Step-by-step explanation:

5/8 × 100

should give you 62.6%

dr. yung tests a new anti-malaria drug in an asian population and concludes that he cannot reject the null hypothesis, and must conclude he does not have sufficient evidence to conclude that the drug works. in reality, the drug does work. dr. yung has committed a error. group of answer choices logical type i (false positive) type ii (false negative) statistical

Answers

Dr. Yung has committed a type l ( false positive) error.

What is a type I error?

Rejecting a null hypothesis that is actually true in the population results in a type I error (false-positive); failing to reject a null hypothesis that is actually false in the population results in a type II error (false-negative).

A type I error occurs when a null hypothesis that is actually true is mistakenly rejected during statistical hypothesis testing (also known as a "false positive" finding or conclusion; example: "an innocent person is convicted"),

Therefore, the error is a type 1 error.

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What are binomials give five examples?

Answers

"A binomial is an algebraic expression which has exactly two terms." The examples of binomials are x² + 3, x + y, x³ + 2x, 9 + 7y, xy² + xy, etc.

A polynomial is of various types like monomial, binomial, trinomial, etc.

Monomial contains only single term.

Trinomial contains exactly three terms. All the three are dissimilar.

A binomial is said to have only positive exponents and no negative exponents.

In x³ + 2x, x³ and 2x are two different terms. The variable is only x. The exponent of x³ is 1, the exponent of x is 1. The coefficient of x³ is 1, the coefficient of x is 2.

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What is the relation between area height and volume?

Answers

The relation between area, height and volume is: volume = area * height

In this question we need to find the relation between area height and volume.

the formula for area and volume are based on height:

volume = base area * height

Let v represents the volume, A represents area and h represents the height.

V = A * h

As we know the volume of rectangular prism is:

volume = length * width * height

i.e., V = l * w * h

and the base area is:

area = length * width

i.e., A = l * w

Substitute A =  l * w in V = l * w * h

Then we get, V = A * h

Therefore, the relation between area, height and volume is: V = A * h i.e., volume = area * height

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Find the missing measures in the parallelogram given below. Also, state the property used.

Answers

Answer:

see explanation

Step-by-step explanation:

AD = BC = 8 ( opposite sides of a parallelogram are congruent )

DC = AB = 15 ( opposite sides of a parallelogram are congruent )

Consecutive angles in a parallelogram are supplementary , sum to 180° , so

∠ A + ∠ D  = 180° , that is

∠ A + 68° = 180° ( subtract 68° from both sides )

∠ A = 112°

the opposite angles of a parallelogram are congruent , then

∠ B = ∠ D = 68° , and

∠ C = ∠ A = 112°

Can a 7th grader take algebra?

Answers

Yes, a 7th grader may be taken algebra. Depending on the school district, and capacity some 7th graders may be able to take algebra as an elective or as part of their regular curriculum.

Algebra is the branch of mathematics that helps in the rendering of problems or situations in the form of mathematical expressions.

It includes variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.

Some of the branches of mathematics such as trigonometry, calculus, coordinate geometry, involve the use of algebra. One example is in algebra is 2x + 4 = 8.

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What is a real value of x?

Answers

Answer:

X is a variable, the value depends on the equation

How do you store 3 values in one variable in Python?

Answers

My_3_variables = [title, author, date] and then put this list at the first position of your other list : my_list[0] = my_3_variables .

Now, According to the question:

Create a list containing your 3 variables : my_3_variables = [title, author, date] and then put this list at the first position of your other list : my_list[0] = my_3_variables .

How do I store multiple values in one variable Python?

append()

We use the append() method for this. You can use this to append single values to the list – value, list, tuple.

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How do you solve for the mean variance and standard deviation of the sampling distribution of sample means?

Answers

From the provided sample, The mean variance and standard deviation of the sample is given by [tex]\bar x = \frac{\sum x}{n} , variance = {standard deviation }^2[/tex] and

[tex]\sqrt \frac{\sum {(x-\bar x)^2}}{n-1}[/tex] .

What do you mean by sample?

Sampling is the process of choosing a portion of a statistical population to estimate attributes of the entire population in statistics, quality control, and survey methods. Statisticians try to get samples that are typical of the population under consideration.

What is mean and standard deviation?

The arithmetic mean, also known as the arithmetic average or simply the mean or average, is the sum of a set of numbers divided by the total number of numbers in the set. The collection frequently consists of a series of findings from a survey, experiment, or observational study.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

sample size =n .

[tex]\sum x[/tex] = sum of sample data.

[tex]\bar x = \frac {\sum x}{n}[/tex] (sample mean)

sample standard deviation(s) = [tex]\sqrt \frac{\sum {(x-\bar x)^2}}{n-1}[/tex]

[tex]variance = standard deviation ^2[/tex]

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True or false math. Make sure you are correct though. Thank you!

Answers

Answer:

True

Step-by-step explanation:

Most of the function f(x) has the domain is (- infinity, positive infinity), So I think this is true!

How do you solve for x and y values?

Answers

Solving for two variables (normally denoted as "x" and "y") requires two sets of equations.

Assuming you have two equations, the best way for solving for both variables is to use the substitution method, which involves solving for one variable as far as possible, then plugging it back in to the other equation. Knowing how to solve a system of equations with two variables is important for several areas, including trying to find the coordinate for points on a graph.

Write out the two equations that have the two variables you want to solve. For this example, we will find the value for "x" and "y" in the two equations "3x + y = 2" and "x + 5y = 20"

Solve for one of the variables in on one of the equations. For this example, let's solve for "y" in the first equation. Subtract 3x from each side to get "y = 2 - 3x"

Plug in the y value found from the first equation in to the second equation in order to find the x value. In the previous example, this means the second equation becomes "x + 5(2- 3x) = 20"

Solve for x. The example equation becomes "x + 10 - 15x = 20," which is then "-14 x + 10 = 20." Subtract 10 from each side, divide by 14 and you have end up with x = -10/14, which simplifies to x = -5/7.

Plug in the x value in to the first equation to find out the y value. y = 2 - 3(-5/7) becomes 2 + 15/7, which is 29/7.

Check your work by plugging in the x and y values in to both of the equations.

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Write the number 1. 8 in the form , using integers, to show that it is a rational number.

Answers

The number 1. 8 in the form a / b, using integers, to show that it is a rational number is 9 / 5 .

Note that the number 1.8 consists of two parts 1 and 0.8.

The decimal 0.8 can be written as the fraction is 8 / 10

Add these two numbers :

= 1 + 8 / 10

multiply and divide by 10

= 10 / 10 + 8 / 10

= 10 + 8 / 10

= 18 / 10

simplify the number

= 2 * 3 * 3 / 2 * 5

= 1 * 3 * 3 / 1 * 5

= 9 / 5

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How do you describe the relationship of the volume between the volume of a sphere and the volume of a cylinder?

Answers

The relationship between the volume of a sphere and the volume of a cylinder is: the volume of a sphere is 2/3 of the volume of a cylinder with same radius, and height equal to the diameter.

In this question we need to describe the relationship of the volume between the volume of a sphere and the volume of a cylinder.

Consider  a cylinder with radius r and height h.

we know that the formula for the volume of cylinder is,

V1 = π * r² * h

Consider a sphere with radius r1.

We know that the formula for the volume of sphere is,

V2 = 4/3 * π * r1³

If the sphere and a cylinder have same radii and height of cylinder equal to the diameter then, r1 = r and h = 2r

V2 = 4/3 * π * r³

And V1 = π * r² * (2r)

V1 = 2 * π * r³

V1 = 2 * 3/4 * V2

V1 = 3/2 * V2

volume of cylinder = 3/2 *  volume of sphere

Therefore, the volume of a sphere = 2/3 * the volume of a cylinder

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is an integer.
Given that the value of lies between between 29 and 39 Write down the value of .

Answers

The values of the integers lie between 29 and 39 and is 30,31,32,33,34,35,36,37,38.

What is a number system?

A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set in a consistent manner using digits or other symbols. In different numeral systems, the same sequence of symbols can represent different numbers.

A zero, a positive natural number, or a negative integer with a minus sign is an integer. The negative numbers are the additive inverses of their positive counterparts.

Given that the integers lie between the numbers 29 and 39. The numbers will be,

29, { 30,31,32,33,34,35,36,37,38 }, 39

Therefore, the values of the integers lie between 29 and 39 and are 30,31,32,33,34,35,36,37,38.

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I need help on this please someone answer me!​

Answers

So basically for the first one do 14.0%x 4.6

Use the quadratic formula to solve x^2+3x-28=0

Answers

The solutions to the quadratic equation x² + 3x - 28 = 0 are 4 and -7.

What are the solutions to the quadratic equation?

The quadratic formula is expressed as;

x = (-b±√(b² - 4ac)) / (2a)

Given the equation;

x² + 3x - 28 = 0

a = 1b = 3c = -28

Substitute the values of a, b, and c into the formula and solve for x.

x = (-b±√(b² - 4ac)) / (2a)

x = ( -3 ±√( 3² -  ( 4 × 1 × -28) )) / (2×1)

x = ( -3 ±√( 9 -  ( -112) )) / (2)

x = ( -3 ±√( 9 + 112 )) / (2)

x = ( -3 ±√( 121 )) / 2

x = ( -3 ± 11 ) / 2

x = ( -3 - 11 ) / 2, x = ( -3 + 11 ) / 2

x = -14/2, x = 8/2

x = -7, x = 4.

Therefore, -7 and 4 are the solutions to the equation.

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Ridgid motions to prove

Answers

Answer:

Sequence:

1. [tex]T__{ < 0,-5 > } (ABCDE) = (A'B'C'D'E)[/tex]

. . . . . . . . . .  ⭐ please take a ruler and measure the distance from AA',    . . .  . . . . . BB', CC', DD', and EE', and then write that distance (it should      . . . . . . . .  be the same for each measurement) in place of 5 in -5. I just     . . . . . . . .  wrote -5 because it was my best approximation for looking at     . . . . . . . .  a laptop screen. ⭐

2. [tex]R__{(180,B')} (A'B'C'D'E) = (A''B''C''D''E'')[/tex]

3. [tex]r__{D''E''} (A''B''C''D''E'') = (A'''B'''C'''D'''E''')[/tex]

Step-by-step explanation:

1. [tex]T__{ < 0,-5 > } (ABCDE) = (A'B'C'D'E)[/tex] means that when you move figure ABCDE down by 5 units, it will map onto the image of A'B'C'D'E.

2. [tex]R__{(180,B')} (A'B'C'D'E) = (A''B''C''D''E'')[/tex] means that when you rotate figure A'B'C'D'E' 180 degrees counterclockwise about point B', said figure will map onto the image of A''B''C''D''E''.

3. [tex]r__{D''E''} (A''B''C''D''E'') = (A'''B'''C'''D'''E''')[/tex] means that when you reflect figure A''B''C''D''E'' across segment D''E'', said figure will map onto the image A'''B'''C'''D'''E'''.

Harry's soccer team is trying to raise $2,520 to travel to a tournament in florida, so they decided to host a pancake breakfast. Each person must pay $15 for the breakfast. How many people need to attend their breakfast in order to raise $2520?.

Answers

Harry's soccer team needs 168 people to attend their pancake breakfast in order to raise $2,520.

To find the number of people that need to attend the pancake breakfast, we can set up the following equation:

Number of People x Cost per Person = Total Cost

We know that the total cost is $2,520 and the cost per person is $15, so we can substitute those values into the equation:

Number of People x $15 = $2,520

We can solve for the number of people by dividing both sides of the equation by $15:

Number of People = $2,520 / $15

This gives us the number of people that need to attend the pancake breakfast in order to raise the desired amount of money. In this case, the number of people is 168.

Therefore, Harry's soccer team needs 168 people to attend their pancake breakfast in order to raise $2,520.

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Calculate the approximate degree measure of the angle, given the following expression: cos(y°) = -0.10 Round your answer to the nearest tenth.​

Answers

Answer:

y ≈ 95.7°

Step-by-step explanation:

To solve for the angle a trigonometric function is being used on, we have to use the inverse of the trigonometric function.

Inverse of tan(y°) = 4.12:

[tex]tan^{-1}(-0.10) = y[/tex]

Next, I used a scientific calculator to find the angle measure of y. I recommend using the Desmos Scientific Calculator.

[tex]95.7 = y[/tex]

I really need help on this page, could anyone help me?

Answers

F=9/5C+32 is the required equation and Greg statement is true

What is Unit of Measurement?

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

Given that Greg is expressing temperature in farenheit and Josh expressing it in the celsius.

C=5/9(F-32)

We need to rewrite the formula so that Josh can quicly convert the temperature that Greg describes F.

F=9/5C+32

The temperature where John leaves has 77 F.

Let us convert to celsius.

C=5/9(77-32)

C=5/9(45)

C=5(5)

C=25 degrees.

25 degress< 30 degrees.

Hence, F=9/5C+32 is the required equation and Greg statement is true.

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In a survey of 118 randomly selected gun owners, it was found that 81 of them said they owned a gun primarily for protection.

Find the margin of error and 95% confidence interval for the percentage of all gun owners who would say that they own a gun primarily for protection. Report answers to at least 2 decimal places.

Margin of Error (as a percentage)

Answers

The margin of error is 0.086 and its C.I is (0.575 , 0.785).

What is margin of error?

Your results will vary from the actual population value by how many percentage points, as indicated by the margin of error. A 95% confidence interval with a 4% margin of error, for instance, indicates that your statistic will, 95% of the time, be within 4% of the true population figure.

n = 117 , x =87

Point estimate for the proportion:

P = x/n

= 81/118

= 0.68644

Confidence = 95%, α = 0.05

From z-table area 0.975 close to z=1.96

Margin of error, E = 1.96 √((0.68*0.55)/130)

= 1.96 * 0.05363

= 0.105

= 0.086

Confidence = P ± E

= 0.68 ± 0.105

=(0.68-0.105 , 0.68+0.105)

= (0.575 , 0.785)

Hence, the margin of error is 0.086 and its C.I is (0.575 , 0.785).

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Which is a discontinuous process?

Answers

The function of the graph which is not connected with each other is known as a discontinuous function. A function f(x) is said to have a discontinuity of the first kind at x = a, if the left-hand limit of f(x) and right-hand limit of f(x) both exist but are not equal.

The function is an expression or law that defines a relationship between one variable and the independent variable and another variable the dependent variable

The independent variable is the variable being controlled in the problem, and the dependent variable is the variable that changes because of this control

Some examples of a discontinuous function

f(x) = 1 / (x - 2)

f(x) = tan x

f(x) = x2 - 1

For x < 1 and f(x) = x3 - 5 for 1 < x < 2

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A relationship between one variable, the independent variable, and another variable, the dependent variable, is defined by an expression or law known as the function.

The variable being controlled in the problem is the independent variable, and the variable that changes as a result of this control is the dependent variable.

f(x) = 1 / (x - 2)

f(x) = tan x

f(x) = x2 - 1

For x < 1 and f(x) = x3 - 5 for 1 < x < 2

How many points lie on a line?

Answers

The number of points that lie on a line are innumerable.

Solve for x: 7x-22=3x+18

Answers

Answer:

x = 10

Step-by-step explanation:

7x-22=3x+18

4x -22 = 18

4x = 40

x = 10

The answer is x=10 Yw

What are the 3 lengths of a right triangle?

Answers

A, B, C form a right triangle

Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n.

Complete each of the 2 activities for this Task.
Activity 1 of 2
Find the value of c(7).

Answers

In the equation c(n) = 50+4n, the value of c(7) is equal to 78.

What is a function?

Absolutely one element of Y is assigned to every element of X in a mathematical function from a set X to a set Y. Both the set X and the set Y are referred to as the function's domain and codomain, respectively.

Al-Biruni and Sharaf al-Din al-Tusi were two Persian mathematicians who developed the earliest known approach to function and its concept. The basic conception of functions was the relationship between fluctuating quantities and other variables. An illustration of this is how time affects a planet's position. In the past, the idea was developed with the infinitesimal calculus around the end of the 17th century, and, until the 19th century, the functions that were considered were differentiable.

This is how the function is defined:

The equation c(n) = 50+4n defines function c, and n is the number of visits.

The function displays the cost in USD per month.

Thus, the following formula can be used to get the value of c(7):

c(7) = 50+4n

c(7) = 50+4(7)

= 50+28

=78

Therefore, c(7)=78

So, the value of c(7)=78.

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what distance has a cheats gone if it travels 25 m/s in 3 seconds

Answers

Answer:

75 m

Step-by-step explanation:

three seconds of 25 m/s and 3 x 25 = 75

The sophomore class needs a combined total of 216 medium and large t-shirts for field day. The number of medium t-shirts needed is three times the number of large t-shirts needed. Based on this information, would it be reasonable for the sophomore class to order 72 large t-shirts and 144 medium t-shirts?.

Answers

No it is not reasonable , because the number of medium T-shirts is not 3 times the number of large T-shirts .

Given :

Let say that the class need x medium and y large t - shirts .

so ,

x + y = 216

x = 3y

substitute

3y + y = 216

4y = 216

divide by 4 on both sides

4y / 4 = 216 / 4

y = 216/4

y = 54

x = 54 * 3

= 162

so here we need 162 medium t - shirts and 54 large t - shirts

given 72 large and 144 medium t - shirts so it not reasonable .

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Determine the x -intercepts of the quadratic y = x 2 + 2 x 15 by factoring. a steady increase in the concentration of persistent toxins as they move from one trophic level to the next higher trophic level in a food web is known as . Determine a series of transformations that would map Figure T onto Figure U.Press "try" to test a transformation or sequence of transformations. 5.) Which sentence uses objective tone and formal language?*1 pointThe research revealed that cats, on average, sleep 50% more in a 24-hour period than dogs.Our research revealed that cats have the best life because they get to sleep most of the day.We believe that even though dogs do not sleep as much as cats, they still sleep a good portion of the day.While our research didn't prove this, we believe that dogs eat, on average, more than cats during a typical day. What is the value of k if 1 2 is a root of the equation x2 kx 5 4 0? when the police get..........to the bank the suspect has already left. I am confused on all of these questions, can someone help? 37. Rajiv gets pocket money from his farther everyday. Out of pocket money, he saves 2.75 on 1st day and on eachsucceeding day he increases his saving by 25 paise(i) On which day he saves 7.75?(ii) Find the difference between the amount saved by Rajiv on 25th day and 14th day.(iii) Find the sum of amount saved on first 10 days. How do you find the discontinuity point of a function? Which of the following situations did Bryan Mudd NOT mention as an example of unethical behavior in a newsroom?answer choicesUsing other peoples news storiesClaiming false sourcesChanging facts of a story to make it more sensationalSpending a long time to prepare a news story Name: Date: FAHRENHEIT 451 Directions: Identify the figurative language in the lines below, then use those answers to color by number the picture. Simile. Black Allusion-Brown Metaphor- Yellow Personification Gray Paradox-Orange Onomatopoeia-Blue Idiom-Red 1. Montag froze. 2. That's water under the bridge. 3. Books died. 4. A book lit like a white pigeon. 5. You've been locked up here with a regular Tower of Babel. 6. [Each page] becomes a black butterfly. 7. It's [ reading] mud to you, too. 8. The train radio vomited upon Montag 9. The room was blazing hot, he was all fire, he was all coldness. 10. There was a O whirring, clicking, humming. COLOANS BY NUMBER Name: Date: FAHRENHEIT 451 Directions: Identify the person speaking In the lines below, then use those names to color by number the picture. Beatty - Black Ms. Bowles-Brown Faber - Orange Mildred -Yellow Montag - Red Clarisse - Blue 1. "Not everyone born free and equal, as the Constitution says, but everyone made equal. Each man the image of every other; then all are happy, for there are no mountains to make them cower, to judge themselves against." 2. "Those who don't build must burn. It's as old as history and juvenile delinquents." 3. "Ladies, once a year, every firemans allowed to bring one book home, from the old days to show his family how silly it all was." 4. "As for poetry, I hate it." 5. "Here we go to keep the world happy, Montag." D 6. "Books aren't people." 7. "Fire is bright and fire is clean." B. "I thought I had part of the book of Ecclesiastes and maybe a little of Revelation, but I haven't even that now." 9. "Are you happy?" 10. "Right now I've got an awful feeling. I want to smash things and bill thing.&quot COLOAIMS BH NUMBER Name: Date: FAHRENHEIT 451 Directions: Identify the point along the plot at which the eventi below occur. then ute those answers to color by number the picture to the right. Exposition- Blue Falling Action-Brown Rising Action- Green Denouement-Gray Turning Point. Yellow 1. Beatty makes Montag burn down his own house. 2. Montag reads books to Mildred. 3. Montag is a fireman. He enjoys being a fireman. 4. Montag goes on the run and floats down a river. 5. Montag starts to doubt himself when Clarisse asks him if he is happy. 6. Montag kills Beatty and destroys the mechanical hound. 7. Montag burning a lady and her house. 8. Montag meets Faber and eventually gets a plan to save the books. 9. Montag meets Granger, and thinks not of the past, but only of the future, of the people he can help and of the new life he can build with the knowledge he has gained. 10. Montag learns the city has been bombed and finally lets go of Mildred Which evidence does lincoln use to support his argument that america will solve its current problem?.