arc length of AB
angle ab=115
radius bc=13

Answers

Answer 1

The arc length of arc AB is approximately 8.3076π units.

To find the arc length of arc AB, we need to know the angle subtended by the arc and the radius of the circle. In this case, we are given that angle AB is 115 degrees and the radius BC is 13 units.

The formula for the arc length (L) of a circle is given by L = (θ/360) * 2πr, where θ is the central angle in degrees and r is the radius of the circle.

Substituting the given values into the formula, we have:

L = (115/360) × 2π(13)

Simplifying this expression:

L = (0.3194) × 2π(13)

L ≈ 0.3194 × 26π

L ≈ 8.3076π

So, the arc length of arc AB is approximately 8.3076π units.

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Related Questions

Write down the time using the 24-hour time format​

Answers

Answer: 19:30 is the current time as per the 24-hour time format

Step-by-step explanation: We know that a day has 24 hours. The time can be shown in two different formats- the 12-hour format and the 24-hour format. 12 hour format ranges only from 1-12 on the hour while 24-hour format varies from 1-24 representing the hour.

      The 24 hour time format is quite simple- marks one number each for one hour. If the Reading says 19:30, it simply means hour 19 of that day. 12-hour time format is different since it makes use of A.M. (Ante Meridiem) and P.M. (Post Meridiem).

Calculate the Cash Cycle using the following information. (Assume 360 days in a year). Opening Balances Raw Material 4,00,000 WIP 80,000 Finished Goods 6,00,000 Debtors 2,50,000 Creditors 5,60,000 Closing Balances Raw Material 5,00,000 WIP 70,000 Finished Goods 7,25,000 Debtors 3,15,000 Creditors 6,25,000 Costs Incurred during the year Manufacturing Costs 10,45,000 Excise Duty 8,50,000 Selling and Distribution Expenses 4,20,000 Admin. Overheads 3,00,000 Total Sales 4,20,00,500 Total Purchases 3,23,00,000 30% of sales are on credit and 80% of purchases are on credit

Answers

Answer:

156.76 days (approx.)

Step-by-step explanation:

To calculate the Cash Cycle, we need to consider the time it takes for a company to convert its investment in inventory and receivables back into cash. The formula for Cash Cycle is as follows:

Cash Cycle = Inventory Conversion Period + Receivables Collection Period - Payables Deferral Period

Now, let's calculate each component of the Cash Cycle using the given information.

1. Inventory Conversion Period:

Inventory Conversion Period measures the average number of days it takes to convert raw materials into finished goods.

Average Inventory = (Opening Raw Material + Closing Raw Material) / 2

= (4,00,000 + 5,00,000) / 2

= 4,50,000

Manufacturing Costs per day = Manufacturing Costs / 360 days

= 10,45,000 / 360

= 2,902.77 (approx.)

Inventory Conversion Period = Average Inventory / Manufacturing Costs per day

= 4,50,000 / 2,902.77

≈ 155 days

2. Receivables Collection Period:

Receivables Collection Period measures the average number of days it takes to collect payments from customers.

Average Receivables = (Opening Debtors + Closing Debtors) / 2

= (2,50,000 + 3,15,000) / 2

= 2,82,500

Sales per day = Total Sales / 360 days

= 4,20,00,500 / 360

= 1,16,666.67 (approx.)

Receivables Collection Period = Average Receivables / Sales per day

= 2,82,500 / 1,16,666.67

≈ 2.42 days

3. Payables Deferral Period:

Payables Deferral Period measures the average number of days the company takes to pay its suppliers.

Average Payables = (Opening Creditors + Closing Creditors) / 2

= (5,60,000 + 6,25,000) / 2

= 5,92,500

Purchases per day = Total Purchases / 360 days

= 3,23,00,000 / 360

= 8,97,222.22 (approx.)

Payables Deferral Period = Average Payables / Purchases per day

= 5,92,500 / 8,97,222.22

≈ 0.66 days

Now, we can calculate the Cash Cycle using the formula mentioned earlier:

Cash Cycle = Inventory Conversion Period + Receivables Collection Period - Payables Deferral Period

= 155 days + 2.42 days - 0.66 days

≈ 156.76 days (approx.)

Therefore, the Cash Cycle is approximately 156.76 days based on the given information.

Pls help use the picture to answer the question

Answers

The solution is: The arc length SR is 52.12ft.

We have,

Arc length is the distance between two points along a section of a curve. An arc is a cut out section of a circumference of a circle.

The arc angle = sector angle in the diagram

The length of an arc is expressed as;

l = tetha/360 × 2πr

where r is the radius and tetha is the angle between the two radii.

l = 332/360 × 2 × 9 × 3.14

l = 1042.48 × 18/360

l = 18764.64/360

l = 52.12( nearest hundredth)

therefore the length of the arc is 52.12 ft

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What is the scale factor of the perimeters from figure A to figure B? Enter
a number answer only. Simplify any fractional answer. Round any
decimals to the nearest tenth.
12
A
10
18
B
15

Answers

The scale factor of the perimeters from figure A to figure B is 1.5. Scale factor is the ratio of any two corresponding lengths in two similar figures.

Here, the two figures are similar, that is why we can find the scale factor by dividing corresponding sides of one figure by the corresponding sides of another figure. We will find the scale factor for the perimeter of figures A and B below:Perimeter of figure A = 12 + 10 + 18 = 40 unitsPerimeter of figure B = 15 + 15 + 15 = 45 unitsTo find the scale factor of the perimeters, we divide the perimeter of figure B by the perimeter of figure

A:Scale factor of the perimeters = (Perimeter of figure B)/(Perimeter of figure A) = 45/40 = 1.125To simplify any fractional answer, we have to convert it to the lowest terms, which is 9/8. The decimal answer 1.125, when rounded to the nearest tenth is 1.1. Therefore, the scale factor of the perimeters from figure A to figure B is 1.5.

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Simplyfiy the fraction 220/4 please.

Answers

Answer:

55

Step-by-step explanation:

You just need to divide 220 ÷ 4 = 55

Hope this helps :)

Pls brainliest...

2 + 5 = + 8 please slove

Answers

That equation is unsolvable until you further specify what you want out of it.

Answer:

The correct answer is 7.

Step-by-step explanation:

The sum of 2 and 5 is 7, not 8. Addition is a basic arithmetic operation that combines two numbers to find their total or sum. In this case, when we add 2 and 5 together, we count a total of 7. It's important to carefully perform calculations to ensure accuracy and obtain the correct result.

Find the volume of the figure below. Round to the nearest tenth.

Answers

The volume of the given triangular pyramid is 59.2 feet³.

Given figure is that of a triangular pyramid.

We have to find the volume of the pyramid.

Volume of a pyramid = 1/3 × base area × height

Here base is triangular.

Base area = 1/2 × 12 × 3.7

                  = 22.2 feet²

Height of the pyramid = 8 feet

Volume = 1/3 × 22.2 × 8

             = 59.2 feet³

Hence the volume is 59.2 feet³.

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3. Which of the following is NOT always true about matrices A, B, and C? A. If AB = 0, then either A=0 or B=0 B. If A is invertible and AB = AC ,then B = C C. If A is singular, then its transpose is also singular D. If B is the inverse A, then the transpose of B is the Inverse of the transpose of A 20​

Answers

Answer:

The statement that is NOT always true about matrices A, B, and C is:

C. If A is singular, then its transpose is also singular.

Step-by-step explanation:

A matrix A is singular if and only if its determinant is zero. However, the transpose of a matrix does not necessarily have the same determinant as the original matrix. So, it is possible for a matrix A to be singular while its transpose is non-singular. Therefore, statement C is not always true.

18-9×(-4)÷3+10×2 simplified show work

Answers

The final simplified expression: 30 + 20 = 50 the Simplified form of the expression 18 - 9 × (-4) ÷ 3 + 10 × 2 is 50.

The expression 18 - 9 × (-4) ÷ 3 + 10 × 2, we follow the order of operations (also known as PEMDAS: Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction) to perform the operations in the correct order.

First, we simplify the multiplication and division from left to right:

9 × (-4) ÷ 3 = -36 ÷ 3 = -12

Now we have the expression: 18 - (-12) + 10 × 2

Next, we perform the subtraction and addition from left to right:

18 - (-12) = 18 + 12 = 30

Now we have the expression: 30 + 10 × 2

Finally, we perform the multiplication:

10 × 2 = 20

Now we have the final simplified expression: 30 + 20 = 50 the simplified form of the expression 18 - 9 × (-4) ÷ 3 + 10 × 2 is 50.

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e
2. Find the linear combination of the standard unit
vectors i and j of given initial and terminal points of a
vector.
desig
SI
Initial Point
(0,-8)
Terminal Point
(9, 12)

Answers

The linear combination of the standard unit vectors i and j for the given initial and terminal points is 9i + 20j.

To find the linear combination of the standard unit vectors i and j, we need to determine the components of the vector that connects the initial point to the terminal point.

Given:

Initial Point: (0, -8)

Terminal Point: (9, 12)

To find the linear combination, we subtract the coordinates of the initial point from the coordinates of the terminal point:

So, Terminal Point - Initial Point

= (9, 12) - (0, -8)

= (9 - 0, 12 - (-8))

= (9, 20)

Therefore, the linear combination of the standard unit vectors i and j for the given initial and terminal points is 9i + 20j.

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Given the vectors, a=3i+4j , b=-2i+5j, c=10i-j, d=-1/3i+5/2j, find : a+b=?

Answers

Answer:

Step-by-step explanation:

[tex]a+b=(3i+4j)+(-2i+5j)[/tex]

        [tex]=3i+4j-2i+5j[/tex]

        [tex]=1i+9j[/tex]

Which equation is not true?
A. 120 ounces = 7 pounds
B. 5 pounds = 80 ounces
C. 2.5 tons = 5,000 pounds
D. 60 ounces = 3.75 pounds

Answers

A. 120 ounces = 7 pounds
To convert ounces to pounds, we divide by 16:
120 ounces / 16 = 7.5 pounds
The equation is not true.
A and C are both not true
A is 7.5 pounds and 2.5 tons is 5,500 pounds

Subtract: (6f2-9f + 10)-(-2f²-f+3)
O8f²-8f +7
O 4f2 - 10f +7
O 4f2 - 10f + 13
O8f² -10f + 7

Answers

Step-by-step explanation:

therefore, the correct option is option number 1.

7)A point is chosen randomly inside rectangle ABCD with vertices A(4, 8), B(4, -3), C(-5, -3), and
D(-5, 8). whats the probability The point does not lie in circle P with center P(-2, 5) and radius 3.

Answers

Answer:

≈0.71441

Step-by-step explanation:

1. to calculate the area of the given circle;

2. to calculate the area of the rectangle ABCD;

3. to divide the area of the circle by the area of the rectangle ABCD

and to calculate the rest part.

All the details are in the attachment.

Jack is 5 years old. His mother is 45 years old. In how many years' time will Jack's mother be 3 times as old as Jack?​

Answers

Answer:

After 15 years

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

Let it be x years after that Jack's mother will be 3 times as old as Jack.

Set up equation and solve for x:

45 + x = 3(5 + x)45 + x = 15 + 3x3x - x = 45 - 152x = 30x = 15

After 15 years Jack will be 20 and his mother will be 60 years old.

I hello I need help below

Answers

Answer:

Rate of slower train: 110 km/h

Rate of faster train: 122 km/h

Step-by-step explanation:

The explanation is attached below.

Kim ran 3 miles in 30 minutes. At what rate did Kim run? A. 6 miles per hour B. 6 miles per minute C. 10 miles per hour D. 10 miles per minute

Answers

Kim ran at a rate of 6 miles per hour. The calculation is:

3 miles in 30 minutes is the same as 6 miles in 60 minutes (since 30 minutes is half of an hour).

Therefore, Kim ran 6 miles in an hour, which is a rate of 6 miles per hour.

The correct answer is A. 6 miles per hour.

HELP PLEASE WORTH 20 points
What is the perimeter of the parallelogram
(-4,2)
(-5,-3)
(7,3)
(-2,6)

Answers

The perimeter of this parallelogram is equal to 32.4 units.

How to calculate the perimeter of a parallelogram?

In Mathematics and Geometry, the perimeter of a parallelogram can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

P represent the perimeter of a parallelogram.W represent the width of a parallelogram.L represent the length of a parallelogram.

For the length, we have:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(-5 + 4)² + (-3 - 2)²]

Distance = √26

Distance = 5.1 units

For the width, we have:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(7 + 4)² + (3 - 2)²]

Distance = √122

Distance = 11.1 units.

P = 2(5.1 + 11.1)

P = 2(16.2)

P = 32.4 units.

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NEED IN 2 MINUTES An isosceles trapezoid has a perimeter of 15.6 feet. Its shorter base measures 1 foot and its longer base measures 3.8 feet. The two remaining sides have the same length; what is that length?

Answers

Answer: 5.4

Step-by-step explanation:

First, start with adding the two given sides, then take that sum and subtract it from the perimeter, then after that, divide by two

1 + 3.8= 4.8  

15.6 - 4.8=10.8

10.8 / 2 = 5.4

Finding Missing Angles in a Polygon

Answers

Answer:

[tex]\huge\boxed{\sf x = 130\°}[/tex]

Step-by-step explanation:

Statement:In a quadrilateral (four sided polygon), the interior angles add up to 360 degrees.The angles with a small square on it represents 90 degrees.Solution:

So,

90 + 90 + 50 + x = 360

230 + x = 360

Subtract 230 from both sides

x = 360 - 230

x = 130°

[tex]\rule[225]{225}{2}[/tex]

Tara decides to keep the car for a few years longer .if she decides to trade her in her car 8 years from now how much will it be worth

Answers

If she decides to trade her in her car 8 years from now then the car will be worth of $8,782.52.

To estimate the future value of Tara's car 8 years from now, we can consider the average depreciation rate of vehicles and assume it applies to her car.

On average, cars tend to depreciate around 15-20% per year.

Let's assume a conservative depreciation rate of 15% per year for Tara's car. We can calculate the future value using the following formula:

Future Value = Current Value× (1 - Depreciation Rate)^Number of Years

Suppose the current value of Tara's car is $20,000.

Plugging in the values, we get:

Future Value = $20,000(1 - 0.15)⁸

Future Value = $20,000(0.85)⁸

Calculating this, we find:

Future Value = $8,782.52

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A science class has a total of 32 students. the number of females is 14 less then the number of males. how many males and how many females are in the class?

Answers

1.34-6-28
2.28+24=62 there are 62 students male and females'

Step-by-step explanation:

Let the boys be x

Girls = x - 14 (number of females is 14 less than the number of males)

x + x - 14 = 32

2x - 14 = 32

2x = 32 + 14 (add 14 to both sides or if 14 crosses over the bracket. The sign changes to plus or positive)

2x = 46

Divide both sides by 2

x = 23

Girls = x - 14 = 23 - 14

=9

Therefore, The boys are 23, while the girls are 9

I need help. Please include explanation.

Answers

Answer:

0.63

Step-by-step explanation:

We have the following information:

The probability of a student being male is 0.45.

The probability of a student having a job off-campus is 0.33.

The probability of a student being male and having a job off-campus is 0.15.

Now, we want to find the probability that a student is either male or has an off-campus job.

To do this, we add the probability of being male (0.45) to the probability of having an off-campus job (0.33). However, we need to be careful not to count the students who are both male and have an off-campus job twice. So, we subtract the probability of being male and having an off-campus job (0.15) once.

By doing this, we account for all the possible cases and get the probability that a student is either male or has an off-campus job.

Calculating the values:

P(Male or Off-campus job) = P(Male) + P(Off-campus job) - P(Male and Off-campus job)

= 0.45 + 0.33 - 0.15

= 0.63

Therefore, the probability that a student chosen at random from the college is male or has an off-campus job is 0.63.

Hope this helps!

a student claimed that the function shown in the table is exponential. do you agree or disagree? explain​

Answers

The correct statement that F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

To determine whether the function shown in the table is exponential, we need to analyze the relationship between the x-values and y-values.

The table shows x-values that are increasing by a power of 2 (1, 2, 4, 8, 16, 32, 64) and y-values that are increasing by a constant rate of 1 (0, 1, 2, 3, 4, 5, 6).

The constant ratio between consecutive x-values indicates exponential growth or decay.

In this case, the function is growing exponentially because the y-values are increasing at a constant rate.

Based on this information, we can conclude that the function is exponential.

Therefore, we agree with statement F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

The other statements are incorrect because they do not accurately describe the relationship between the x-values and y-values in an exponential function.

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A dog shelter is giving away 19 different dogs, but you have room for only 4 of them. How many different dog families could you create?

Answers

The 19  tykes  given away by the Shelter, that have room for only 4  tykes  per family.        

The number of different canine families that could be created from the 19  tykes  given away by the  sanctum, we need to calculate the number of combinations. room for only 4  tykes , we need to choose 4  tykes  from the aggregate of 19  tykes . The order of the  tykes  in the family doesn't count, as long as we choose different  tykes  for each family.  The number of combinations can be calculated using the formula for combinations  C( n, r) =  n!/( r!( n- r)!)  Where C( n, r) represents the number of combinations of choosing r  particulars from a set of n  particulars.  In this case, we've n =  19( total number of  tykes ) and r =  4( number of  tykes  per family).  Plugging these values into the formula, we get  C( 19, 4) =  19!/( 4!( 19- 4)!)  Calculating the factorial values  19! =  19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =  ! =  4 × 3 × 2 × 1 =  24  15! =  15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =   Substituting these values into the formula  C( 19, 4) = /( 24 ×)  ≈ 91,390  The 19  tykes  given away by the  sanctum, considering that you have room for only 4  tykes  per family.

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use equations to describe the rule and the nth term for the following patterns
1.10,14,18,22..
2.34,26,18,10,..
3.17;11;5;-1;-7;..
4.4;11;18;25;..
5.-35;-27;-19;-11;..​

Answers

Al the nth term are,

1) a (n) = 6 + 4n

2) a (n) = 26 + 8n

3) a (n) = 23 - n

4) a (n) = 7n - 3

5) a (n) = 8n - 43

We have to given that;

All the sequence are,

1.10,14,18,22..

2.34,26,18,10,..

3.17;11;5;-1;-7;..

4.4;11;18;25;..

5.-35;-27;-19;-11;..​

Now, WE can find the nth term as;

1) 10,14,18,22..

Here, a = 10

Common difference = 14 - 10 = 4

Hence, The nth term is,

a (n) = a + (n - 1) d

a (n) = 10 + (n - 1)4

a (n) = 10 + 4n - 4

a (n) = 6 + 4n

2) 34,26,18,10,..

Here, a = 34

Common difference = 26 - 34 = 8

Hence, The nth term is,

a (n) = a + (n - 1) d

a (n) = 34 + (n - 1)8

a (n) = 34 + 8n - 8

a (n) = 26 + 8n

3) 17;11;5;-1;-7;..

Here, a = 17

Common difference = 11 - 17 = - 6

Hence, The nth term is,

a (n) = a + (n - 1) d

a (n) = 17 + (n - 1) (- 6)

a (n) = 17 - 6n + 6

a (n) = 23 - n

4) 4;11;18;25;..

Here, a = 4

Common difference = 11 - 4 = 7

Hence, The nth term is,

a (n) = a + (n - 1) d

a (n) = 4 + (n - 1) (7)

a (n) = 4 + 7n - 7

a (n) = 7n - 3

5) -35;-27;-19;-11;..​

Here, a = - 35

Common difference = - 27 + 35 = 8

Hence, The nth term is,

a (n) = a + (n - 1) d

a (n) = - 35 + (n - 1) (8)

a (n) = - 35 + 8n - 8

a (n) = 8n - 43

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Find the z-score of a time of 44 minutes if the set of times for AC repair is normally distributed with a mean of 38 minutes and a standard deviation of 5 minutes.​

Answers

The z-score of a time of 44 minutes is 1.2

How to find the z-score of a time of 44 minutes

From the question, we have the following parameters that can be used in our computation:

Normally distributed mean = 38 minutes

Normally distributed standard deviation = 5 minutes.​

Also, we have

Score = 44 miniues

The z-score of a time of 44 minutes is calculated as

z = (Score - Mean)/standard deviation

substitute the known values in the above equation, so, we have the following representation

z = (44 - 38)/5

Evaluate

z = 1.2

Hence, the z-score of a time of 44 minutes is 1.2


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Please solve these questions

Answers

Answer:

The first one is g(x)=1/4x-7

Step-by-step explanation:

if the sin 0° = 0 then which statement is true

cos 90 = 1
cos 180 = 1
cos 90 = 0
cos 180 = 0

Answers

Step-by-step explanation:

If the sin 0° = 0, then which statement is true?

1) cos 90° = 0, because the cosine and sine are complements

2) cos 180° = 1, because the cosine and sine are supplements

3) cos 90° = 1, because the cosine and sine are complements

4) cos 180° = 0, because the cosine and sine are supplementscc

gavin would like to contribute towards a pension fund (7,5% of his basic salary 8700) how would this affect his net salary​

Answers

Answer:

net salary = 8047.5

Step-by-step explanation:

his basic salary is 8700

7.5% of that is (8700)(0.075) = 652.5

He gives this away, so his net salary will become

8700 - 652.5 = 8047.5 = net salary

Other Questions
Respond in a paragraph. Answer is written in complete sentences Describe the persuasive appeal of Dr. King's "I Have a Dream" speech. Refer to specific persuasive devices and literary elements in your answer. Select the link to access the Short Answer Rubric. Short Answer Rubric true or false? the symbolism in revelation is a "secret language" designed to conceal its message from the enemies of christianity. What is the most important of part of planning your research? A. Finding lots of sources that support your views B. Not losing all the parts and pieces C. Knowing and keep track of due dates. D. Writing down everything you know about your topic. Which factor is most likely to have contributed to the high fertility rate inAfrica?O A. Lack of access to foodOB. Poor access to medical careC. Many economic opportunities D. High rate of education which of the following stages will the sun definitely go through as it gets older? a food handler working with a highly susceptible population has been diagnosed with norovirus Help me please, i need help Find the equation of the quadratic of least degree with zeros at 1 and -21 Read the following excerpt from chapter 21 of John Steinbeck's The Grapes of WrathAnd the smell of rot fills the country.Burn coffee for fuel in the ships. Burn corn to keep warm, it makes a hot fire.Dump potatoes in the rivers and place guards along the banks to keep thehungry people from fishing them out. Slaughter the pigs and bury them, and letthe putrescence drip down into the earth.There is a crime here that goes beyond denunciation. There is a sorrow here thatweeping cannot symbolize. There is a failure here that topples all our success.The fertile earth, the straight tree rows, the sturdy trunks, and the ripe fruit. Andchildren dying of pellagra must die because a profit cannot be taken from an orange. And coroners must fill in the certificates-died of malnutrition-becausethe food must rot, must be forced to rot.The people come with nets to fish for potatoes in the river, and the guards holdthem back; they come in rattling cars to get the dumped oranges, but thekerosene is sprayed. And they stand still and watch the potatoes float by, listento the screaming pigs being tilled in a ditch and covered with quicklime, watchthe mountains of oranges slop down to a putrefying ooze; and in the eyes of thepeople there is the failure; and in the eyes of the hungry there is a growing wrath.In the souls of the people the grapes of wrath are filling and growing heavy,growing heavy for the vintage.Analyze how the author uses the rhetorical devices of parallelism and diction to convey the tone of thetext. Be sure to include specificdetails from the texts to support your answer. a behavior therapist is most likely to judge the success of treatment via changes in the patients to cache nodes in a graph, a bfs traversal uses a _____ data structure and a dfs traversal uses a _____ data structure. Creative Writing!!What literary term best describes the comparison of something familiar to something unfamiliar?paradoxsymbolismcompare and contrastanalogy If a bank's required reserve ratio is 10%, an initial injection of $2,000 would increase the overall money supply by up to:a. $200b. $2,000c. $10,000d. $20,000 Find the x-coordinate of the center of mass of the lamina that occupies the region D and has the given density function p(x, y) = x+y D is triangular region with vertices (0, 0), (2, 1), (0, 3) Find the slope of the line below. the capillaries of the kidneys that receive useful materials that are reabsorbed are the: effective public relations (text) introduces the management function dealing with: Determine whether the given matrices are multiplicative inverse of each other[3 5] and [7 -5][4 7] [-4 3] after landing at a tower-controlled airport, when should the pilot contact ground control? true/false: in the traditio lex scene, christ has an abstracted early christian face.