Asnwer both questions please

Asnwer Both Questions Please

Answers

Answer 1

We can conclude that -

the net change in the value is : Δf(t) = 5{h² + 4h}.the average rate of change is : {r} = 5(h + 4)

What is a function?

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that function takes.

Given are two functions as given in question.

[ 1 ] -

We can write the net change in the value as -

Δf(t) = {f(2 + h) - f(2)}

Δf(t) = {5(2 + h)² - 5(2)²}

Δf(t) = 5(4 + h² + 4h) - 5(4)

Δf(t) = 5{h² + 4h}

[ 2 ] -

f(t) = 5t²

t = (2)   to   t = (2 + h)

Now, for the given intervals, we can write the average rate of change

as -

{r} = Δf(t)/Δt

{r} = {f(2 + h) - f(2)}/{2 + h - 2}

{r} = {5(2 + h)² - 5(2)²}/{h}

{r} = {5(4 + h² + 4h) - 5(4)}/{h}

{r} = 5{(4 + h² + 4h) - 4}/{h}

{r} = 5{h² + 4h}/{h}

{r} = 5h(h + 4)/h

{r} = 5(h + 4)

Therefore, we can conclude that -

the net change in the value is : Δf(t) = 5{h² + 4h}.the average rate of change is : {r} = 5(h + 4)

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Related Questions

NEED HELP ASAP PLS AND THX Picture is attached

Answers

Answer:

B.CD

Step-by-step explanation:

they connect at

What is the range of the function f(x) = 12 − 3x for the domain {-4, -2, 0, 2, 4}? A. {6, 12, 18, 20, 24} B. {6, 12, 18, 24, 30} C. {-12, -6, 0, 6, 12} D. {0, 6, 12, 18, 24}

Answers

The range of the function for the given domain is the one in option D.

{0, 6, 12, 18, 24}

How to find the range?

Here we want to find the range of the function:

f(x) = 12 - 3x

For the domain  {-4, -2, 0, 2, 4}

To find the range, we just need to evaluate the function f(x) on all the values of the domain, we will get:

f(-4) = 12 - 3*(-4) = 24

f(-2) = 12 - 3*-2 =  18

f(0) = 12  -3*0 = 12

f(2) = 12 - 3*2 = 6

f(4) = 12 - 3*4 = 0

So the range is just the set of these values {0, 6, 12, 18, 24}

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The diameter of a circle is 5 inches. Find the length of it radius

Answers

The length of its radius is 2. 5 Inches

What is a circle?

A circle can be described as a shape that consists of all the points in plane that are at a equidistance from a given point, which is the center.

The diameter of a circle is defined as  the length of the line that passes through the center and also touches two points on the equidistant edges of the circle.

It is represented with the letter, 'D'

Also, the radius of a circle is  defined as the distance from the center of the circle to any of the point on the circumference of that circle.

The formula for radius of a circle is expressed s;

Radius = Diameter/2

The,

Radius = 5/2

Radius = 2. 5 Inches

Thus, the value is 2. 5 Inches

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Help again! I need help

Answers

Answer:

10/17

Step-by-step explanation:

if its given they got a B then that means you have to take how many females divided by the total number of people who got B's.

Therefore, 20/34.

Which can simplified to 10/17.

Solve if x=11. X+44/2×=
How do you resolve this

Answers

Answer:

33

Step-by-step explanation:

11+44/2=11+22=33

How much is 5/9 of -3/5

Answers

Answer: -0.333 repeating

Step-by-step explanation:

5/9 x -3/5 = -0.3 repeating decimal

Your answer for this would be -0.333 repeating decimal, which converts to ~-1/3 ! I hope this helps lol :)

what’s the correct radical form of b^1/5

Answers

The correct radical form of b^1/5 is 5^√b.

What is the radical form?

Square root and nth roots are represented by the symbol "radical," which. a square root is a component of a radical expression, which is an expression.

A number's or an algebraic expression's simplest radical form is referred to as this. When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.

When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.

Explanation:

Convert to radical form using the formula

a^x/n=n^√a^x

5^√b.

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Six times a number subtracted from the number squared is 40. Find the number.

Answers

Answer: 6x - 40

Step-by-step explanation:

first you time 6 times x = 6x and you can't - 40 because you don't know what x is so 6x - 40  

Ernie can plow a field alone in four hours. It takes Sid five hours to plow the same field alone. If they work together (and each has a plow), how long will it take to plow the field?

Answers

The time that it will take to plow the field together is 2 2/9 hours.

How to calculate the value?

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

Based on the information, this will be illustrated as:

1/4 + 1/5 = 1/t

where t = rate together

5/20 + 4/20 = 1/t

9 / 20 = 1 / t

9t = 20

Divide

t = 20 / 9

t = 2 2/9 hours.

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65 = x - 12 sdfgjkl;

Answers

Answer:

Step-by-step explanation:

Hi! To do this problem, you have to add 12 to both sides to get x by itself since you want to find what x equals.  What you do is: x - 12 + 12 = 65 + 12.  You would get x = 65 + 12.  Find what 65 + 12 is and you will get your answer.  I hope this helps!

5
Use the drawing tools to graph the solution to this system of inequalities on the coordinate plane.
y> 2x + 4
x+y≤6
Drawing Tools
Select
Line
Dashed Line
Shaded Region
Click on a tool to begin drawing.
10-
8-
6-
4
Delete
Undo
Reset

Answers

A graph of the solution to this system of inequalities on a coordinate plane is shown in the image attached below.

How to graph the solution to this system of inequalities?

In order to to graph the solution to the given system of inequalities on a coordinate plane, we would use an online graphing calculator to plot the given system of inequalities and then take note of the point of intersection;

y > 2x + 4

x + y ≤ 6

Based on the graph (see attachment), we can logically deduce that the solution to the given system of inequalities is the shaded region and the point of intersection of the lines on the graph representing each, which is given by the ordered pair (2/3, 16/3) or (0.667, 5.333)

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The function g(x) represents f(x) = 9 cos (x - pi/2 + 3 after translating pi/6
units left and 4 units up
Which equation represents g(x)?

Answers

12hr becuase of the simple fact its math

Tickets to enter a museum were R30 for each child and R60 for each adult. In a particular day 100 adults brought
3 children each and the remaining adults brought 2 children each. Children alone were not allowed to enter the
museum. The total tickets sales from the children and adults was R25800. How many children and adults entered the
museum?
A) 270
B) 470
C) 670
D) None of these

Answers

Answer:

D

Step-by-step explanation:

Let's say the number of adults who brought 3 children each is x. So the number of adults who brought 2 children each is 100-x.

Then the total number of children is 3x + 2(100-x) = 300 + x.

The total amount of money made from adults is 60 * 100 = 6000.

The total amount of money made from children is 30 * (300 + x) = 9000 + 30x.

So 6000 + 9000 + 30x = 25800

=> 15000 + 30x = 25800

=> 15000 = 25800 - 30x

=> 15000 = 25800 - 30x

=> 30x = 10800

=> x = 360

So the number of adults who brought 3 children each is 360 and the number of adults who brought 2 children each is 100-360 = -260 (which is not possible).

So the answer is D) None of these.

Final answer:

To solve the problem, set up equations using the given information. Substitute the value of one variable into the other equation to solve for both variables. Then use the values to find the number of children and adults.

Explanation:

To solve this problem, we can start by setting up equations based on the given information. Let's denote the number of adults as A and the number of children as C. We know that each adult brought either 3 children or 2 children, resulting in a total ticket sales of R25800.

So we can set up the following equation: 30C + 60A = 25800.

We also know that there were 100 adults. If each adult brought 3 children, then the total number of children would be 3 times the number of adults: C = 3A.

Substituting the value of C from the second equation into the first equation, we get 30(3A) + 60A = 25800. Solving this equation will give us the values of A and C.

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Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 20 feet and a height of 16 feet. Container B has a diameter of 18 feet and a height of 18 feet. Container A is full of water and the water is pumped into Container B until Container B is completely full.

Answers

The volume of water in container B to the nearest tenth of a cubic unit is 20.1 cubic units

How to determine the volume of water?

This talks about the quantity or the amount of water the container B can hold after container A has been emptied.

We should note here that the volume of water in container B is the same quantity of water in container A.

This implies that  Volume = πm(20)²(16)

Volume = 22/7 * 400 * 16

Volume = 140800/7

Therefore, the volume of water B can contain is 20.1 cubic units

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Complete question:

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of  20 feet and a height of 16 feet. Container B has a diameter of 18 feet and a height of  18feet. Container A is full of water and the water is pumped into Container B until Container A is empty. After the pumping is complete, what is the volume of water in container B to the nearest tenth of a cubic unit?

in what place is the underlined number , the number is 305.46 and the underlined number is 4

Answers

The 4 is in the tenths place.
In this specific problem the 3 is in the hundreds, 0 in the tens, 5 in the ones, 4 in the tenths, and 6 in the hundredths.

Frequency tables are more versatile than line plots because you can change
the size of the groupings on the horizontal axis depending on how detailed of
a graph you want.
о A. True
O B. False

Answers

In a frequency table, the frequency at which each value appears in a data collection is used to summarise the data set.

What is the difference between frequency table and a line plot?

In a frequency table, the frequency at which each value appears in a data collection is used to summarise the data set. The frequency of data over a number line is depicted on a graph called a line plot. Data that is arranged numerically is referred to as organised data.

A line plot is a graph that shows information as dots or checkmarks above a number line, indicating the frequency of each value. The line plot, for instance, displays the quantity of ribbons in this case, broken down by length. Line graphs and plots of lines are frequently mistaken. Compared to a line graph, a line plot is distinct.

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What is the solution to the system of equations?

Answers

The variable mappings that satisfy all component equations are the solutions of systems of equations, or the points where the components of these equations overlap.

what is equations ?

Using the equal symbol (=) to indicate equivalence, a mathematical equation is a formula that joins two statements. An equation in algebra is a statement of mathematics proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for example, the equal sign places the variables 3x + 5 and 14 apart. The relationship between two sentences on either side of a letter is described by a mathematical formula. A single variable, which also serves as the symbol, is frequently present. like in 2x - 4 = 2, for instance.

given

The variable mappings that satisfy all component equations are the solutions of systems of equations

, or the points where the components of these equations overlap.

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How many square inches larger is the area ABC then CDE shown in figure

Answers

Answer:

D

Step-by-step explanation:

the area (A) of Δ CDE is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = 8 and h = 6 , then

A = [tex]\frac{1}{2}[/tex] × 8 × 6 = 4 × 6 = 24 cm²

Δ CDE and Δ ABCare similar ( AA postulate )

given the scale factor of 2 similar figures is k

then the factor of their areas is k²

here the scale factor k of the 2 triangles is the ratio of corresponding sides , Δ CBA to Δ CDE , then

k = [tex]\frac{AB}{CD}[/tex] = [tex]\frac{12}{8}[/tex] = 1.5

then the ratio of their area is 1.5² = 2.25

that is area of Δ ABC is 2.25 times area of Δ CDE

area o Δ ABC = 2.25 × 24 cm² = 54 cm²

then 54 cm² - 24 cm² = 30 cm²

Thus

area of Δ ABC is 30 cm² greater than Δ CDE

convert the following
1. 518 farenheight to celsius
200 celcius to farenheight

Answers

Answer:The Fahrenheit (symbol: °F) is a unit of temperature that was widely used prior to metrication. It is currently defined by two fixed points: the temperature at which water freezes, 32°F, and the boiling point of water, 212°F, both at sea level and standard atmospheric pressure. The interval between the freezing and boiling point is divided into 180 equal parts.

Step-by-step explanation: HOPE THIS HELPS :)

The table below shows the ratios of black to white keys on pianos of various sizes.


Black A 36 63 90
White 13 B 91 C


Determine which table has the correct values for A, B, and C.

Black 9 36 63 90
White 13 52 91 130

Black 10 36 63 90
White 13 52 91 117

Black 9 36 63 90
White 13 39 91 117

Black 3 36 63 90
White 13 65 91 104

Answers

The table with the correct values for A, B and C is given as follows:

Black 9 36 63 90

White 13 52 91 130

What is a proportional relationship?

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

The input and output variables for this problem are given as follows:

Input: number of black keys.Output: number of white keys.

Then the constant k is obtained as follows:

91 = 63k

k = 91/63

k = 13/9.

Hence the equation is:

y = 13x/9.

Hence the values are given as follows:

A: when x = 9, y = 13.B: when x = 36, y = 13 x 36/9 = 52.C: when x = 90, y = 13 x 90/9 = 130.

Hence the first table is correct.

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Using the 28/36 ratio what is the maximum monthly mortgage payment if you make $75,500 per year?

Answers

A practical formula for determining how much debt an individual or household should take on is known as the 28/36 rule

What Is the 28/36 Rule?A practical formula for determining how much debt an individual or household should take on is known as the 28/36 rule. A household should spend no more than 28% of its gross monthly income on total housing costs and no more than 36% on total debt servicing, which includes both housing and other debts like credit card and auto loan payments. This rule is frequently applied by lenders when deciding whether or not to offer applicants credit.Based on their income, existing debts, and way of life, the 28/36 rule helps evaluate how much debt a household may responsibly take on.When creating their monthly budgets, some consumers could apply the 28/36 guideline.Even if a consumer doesn't immediately apply for credit, following the 28/36 rule can help to increase the likelihood of credit approval.Numerous insurers change their requirements in relation to the 28/36 guideline, with some requiring lower percentages and others larger percentages.

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1. You are participating in a fundraiser in which you do yard work for donations. People can
donate money based on a flat fee or based on the number of hours you work. So far, you
have two donors. Your teacher has agreed to donate $10 and your brother has agreed to
donate $2.25 per hour. If together they donated $39.25, write the equation that represents
this situation, then solve.
Look at photo please

Answers

The equation that represents the given situation is; 10 + 2.25x = 39.25

How to solve Algebra Word Problems?

The following are in the question;

One time donation = $10

Hourly donation = $2.25

Total donation = $39.25

Number of hours = x

Thus, the required equation is:

10 + 2.25x = 39.25

Solving for x:

Subtract 10 from both sides;

2.25x = 39.25 - 10

2.25x = 29.25

x = 29.25/2.25

x = 13

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please help me with math i’ll give you brainlist!!

Answers

X intercept: 10/5 = 2

Y intercept: 10/-2 = -5

How find x intercept and y intercept

The x intercept is the point where the line crosses the x-axis and the y intercept is the point where the line crosses the y-axis.

To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y.

In this question,

1. To find x intercept, set y = 0

  5x - 2(0) = 10

  5x = 10

  x = 2

2. To find y intercept, set x = 0

  5(0) - 2y = 10

  -2y = 10

 y = -5

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QUESTION 2 1 POINT
Given the table of values below, find the average rate of change of the function f(x) on the interval [4, 12].
O 14
23
Select the correct answer below:
19
O 17
18
x
f(x)
Content attribution
3
67
4
81
5
87
6
124
7
141
8
144
9 10
175
194
11
220
12
233
FEEC

Answers

The average change per unit of time when the value of the function f(x) on the interval [4, 12] is shown in the table is 128/7, or 18.29.

what is function ?

Volumes and their variances, equations and parts, shapes and their placements, and locations where they can found are all included in the study of mathematics. The relationship between one group of stimuli, each of which has a related output, is referred to as a "function." A function is a relationship between the inputs and outputs where each input produces a single, unique result. Every function has a domain but a codomain, often known as a scope. F is typically used to signify functions (x). An x is the input. Based on the following criteria, there are four primary categories of functions that are available: on functions, yet another functions, so several functions, within functions, and then on functions.

given

The slope of the line connecting the two locations represents the average rate of change.

The formula provides that information.

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

m = (251 -123)/(14 -7) = 128/7 = 18 2/7 ≈ 18.29

The average change per unit of time when the value of the function f(x) on the interval [4, 12] is shown in the table is 128/7, or 18.29.

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does x = y - 2/9 show direct variation

Answers

The equation:

x = y - 2/9

Does not show a direct variation.

Does that equation show a direct variation?

A direct variation between two variables x and y can be written as:

y = k*x

Where k is a constant and it is called the constant of proportionality.

In this case, the given equation is:

x = y - 2/9

We can rewrite that as:

y = x + 2/9

Where you can see we have a constant term equal to 2/9, so no, this is not a direct variation, as in the direct variation there is no constant term.

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How many solutions does the system have? { y = 4 x − 8 4 y = 4 x − 8 y=4x−8 4y=4x−8 ​

Answers

Therefore , the solution of the given problem of linear equation comes out to be x= 2 and y=0.

How a linear equation is defined ?

A model of linear regression is one that applies the formula y=mx+b. B is the slope, and m is the y-intercept. Despite the fact because both y and x are distinct components, the previous sentence is frequently referred to it as a "mathematical formula with two variables." Bivariate linear equations only have two variables. The application domains of linear equations have zero solutions in all cases. The equation for a solitary linear equation is Y=mx+b, where m stands for the elevation and b for the y-intercept. Y=mx+b, where m stands for slopes and b for the y-intercept, is how the equation is expressed.

Here,

Given :

=> y = 4x -8

=> 4y=4x−8 ​ or y = x -2

So,

=> y =4x-8

Thus,

=> 4x -8 = x-2

=> 3x =6

=> x =2

and

=> y = 8-8 =0

Therefore , the solution of the given problem of equation comes out to be x= 2 and y=0.

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(Look at picture) ty btw :)!!!!! <3

Answers

By virtue of the characteristics of integer exponents, y^(-1/4) is a radical exponent. It is possible to contrast phrases and expressions.

what is expression ?

Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression Numbers, variables, and functions make constitute a mathematical expression. It is possible to contrast phrases and expressions. the practice of expressing one's opinions or demonstrating one's feelings by words or deeds: As a sign of his affection, he penned her a poem.

given

y^3/4 / y^1/2

= y^3/4 y^ -1/2

y ^( 3/4 - 1/2)

y^(-1/4)

By virtue of the characteristics of integer exponents, y^(-1/4) is a radical exponent. It is possible to contrast phrases and expressions.

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Which mathematical words describe (x−2) in the expression 4(x−2)+1? Select ALL that apply.

term

term

factor

factor

difference

difference

constant

constant

coefficient

Answers

The mathematical words describe (x−2) are term, factor, difference, constant, and  coefficient

What is an mathematical expression?

An mathematical expression is a combination of numbers, symbols, and operations that represent a value or a relationship between values.

Mathematical words that describe (x−2) in the expression 4(x−2)+1 include:

Term: A term is a single number, variable, or the product of a number and one or more variables. In this expression, (x−2) is a term.

Factor: A factor is a number or algebraic expression that divides another number or expression without a remainder. In this expression, (x−2) is a factor, since 4 divides it without a remainder.

Difference: A difference is the result of subtracting one number or expression from another. In this expression, (x−2) is a difference, since it is the result of subtracting 2 from x.

Constant: A constant is a number or expression that has a fixed value. In this expression, (x−2) is a constant, since its value is fixed even when x changes.

Coefficient: A coefficient is a numerical factor that multiplies a variable. In this expression, 4 is the coefficient of (x−2).

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A kindergarten class has 24 children. The teacher wants them to get into 4 equal groups. How many children will be put in each group?

Answers

The number of children in each group is 6.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

A kindergarten class has 24 children.

The teacher wants them to get into 4 equal groups.

That means,

the number of the children in a group,

= total number of children / number of groups

= 24 / 4

= 6

Therefore, the number of children in a group is 6.

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she’s going to paris , 9 hours there , 8 back with 81 mph. how many mph did it take for that 9 hours

Answers

Answer:

Check the questions comments

Step-by-step explanation:

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13. What were TWO of the intended purposes of the Reign of Terror?To return the king to powerTo bring back control to the churchTo weed out "traitors" of the revolutionTo bring "traitors" to justice Is CO2 ionic or covalent or acidic? 45>32m19 what is m on a number line Mikaela rides her bicycle for 20 kilometers in 0.8 hour. How many kilometer can she run in 1 hour what would be the most common cause of deterioration to a fifth teen century old book 6(3)/(4)n-1(5)/(12)n help pls List two specific daily activities or movements that require you to have flexibility and identify the muscle groups and joints that need have a good range of motion (ROM) for you to perform these activities almost all economists agree that government subsidies on ethanol in the united states should be Find the lengths of the legs of a right triangle if it is known that the sum of the lengths is 23 cm. which mountain range stretches across the eastern united states where can i watch when you finish saving the world At what point of the swing is the kinetic energy the greatest? Explain why, when you roll a normal dice, the probability of getting a 2 1/6?. Select the correct text in the passage.Which sentence refers to the reality of Farquhar's situation in the dream sequence in section 3 of "An Occurrence at Owl Creek Bridge"?They tore it away and thrust it fiercely aside, its undulations resembling those of a water snake. "Put it back, put it back!" He thought he shouted these words to his hands, for the undoing of the noose had been succeeded by the direst pang that he had yet experienced. His neck ached horribly; his brain was on fire, his heart, which had been fluttering faintly, gave a great leap, trying to force itself out at his mouth. His whole body was racked and wrenched with an insupportable anguish! But his disobedient hands gave no heed to the command. They beat the water vigorously with quick, downward strokes, forcing him to the surface. He felt his head emerge; his eyes were blinded by the sunlight; his chest expanded convulsively, and with a supreme and crowning agony his lungs engulfed a great draught of air, which instantly he expelled in a shriek! In KLM, k = 4. 4 cm, l = 3. 1 cm and M=150. Find the length of m, to the nearest 10th of a centimeter What discipline studies the economy as a whole? How many significant figures should be in the answer to each of the following?(6.4) (3.1416) = Directions:Our world is filled with quotations that bring us insight, provide an interesting thought, or give an important perspective. Take a moment to consider the quotations listed in the prompt. Choose one quotation for your focus. In a short paragraph, explain your interpretation of the quotation.Consider these questions:What does this quotation mean to you?Why do you think the author wrote this quotation?Be sure to use specific examples or textual evidence from the reading, or your own experiences and knowledge. Prompt: Quotation 1: From The Crucible, Act 4, Part 4 PROCTOR: I cannot mount the gibbet like a saint. It is a fraud. I am not that man. (She is silent.) My honesty is broke, Elizabeth; I am no good man. Nothings spoiled by giving them this lie that were not rotten long before. Quotation 2: From Young Goodman Brown, Part 2 And when he had lived long, and was borne to his grave a hoary corpse, followed by Faith, an aged woman, and children and grandchildren, a goodly procession, besides neighbors not a few, they carved no hopeful verse upon his tombstone, for his dying hour was gloom. Imagine you are the president of the country, what would we do to avoid orlessen the disadvantages of Science, Technology, and Society Read the poem my papas waltz . List the verbs that provoke a strong feeling