Fig. R24 shows a flower vase whose circular base is parallel to its circular top.
Use the dimensions in the figure to calculate the curved surface area of the flower vase ​

Answers

Answer 1

Answer:

operant conditioning and schedules of reinforcement


Related Questions

Waiting for answer, could u help?

Answers

Answer:

The practical domain of function is , Roscoe can ride his bike only from 10 miles to 30 miles.

Domain of function is defined as the set of input values for which the function is defined i.e.  the set of its possible inputs,

The amount of time it takes for Roscoe to ride his bike m miles is represented by a function.

                     

Where m represent, number of miles he can ride.

Above function is defined for every value of m . But in question it is mention that Roscoe rides his bike at least 10 miles but not more than 30 miles.

Therefore, Domain of function is from 10 miles to 30 miles

Step-by-step explanation:

Addison and Kelsey are running on a path modeled by x2 + y2 – 14x – 16y – 287 = 0, where the distance is in meters. What is the maximum distance between the runners at any given time?

20 meters
32 meters
40 meters
140 meters

Answers

Answer:

40 meters

Step-by-step explanation:

The maximum distance between the runners at any given time 40 meters. Therefore, option C is the correct answer.

Given that, Addison and Kelsey are running on a path modeled by x² + y² - 14x - 16y - 287 = 0.

What is a circle equation?

The equation of circle provides an algebraic way to describe a circle, given the center and the length of the radius of a circle. The equation of a circle is different from the formulas that are used to calculate the area or the circumference of a circle.

The standard equation of a circle with center at (x1,y1) and radius r is (x-x1)²+(y-y1)²=r²

Here, the circular path is modeled by x² + y² - 14x - 16y - 287 = 0

We complete the squares to place it in the standard format, thus:

x² - 14x + 49 + y² - 16y +64 = 287+49+64

⇒ (x-7)² + (y-8)² = 400

⇒ (x-7)² + (y-8)² = 20²

So, r² = 20²

⇒ r = 20 meters

Maximum distance = d = 2r

= 40 meters

The maximum distance between the runners at any given time 40 meters. Therefore, option C is the correct answer.

To learn more about an equation of a circle visit:

https://brainly.com/question/23799314.

#SPJ2

Simplify the following expression. (2x − 1)(3x + 2) Simplify the following expression . ( 2x − 1 ) ( 3x + 2 )​

Answers

FOIL: 6x^2+4x-3x-2
=6x^2+x-2

Which of the following is correct based on this picture?

Answers

B. none of these are correct

Fill in the blanks below.
Find the slope of the line passing through the points (8,5) and (8,-4).

Answers

Step-by-step explanation:

please mark me as brainlest

Please need the answer ASAP for number 3!!!!

Answers

Answer:

second and fourth option

Step-by-step explanation:

the discriminant of a quadratic equation is the easiest way to know how many solutions there will be

(discriminant: b²- 4ac)

{a discriminant of 0 means 1 solution; discriminant < 0 means no real roots, discriminant > 0 means two real roots }

so, we can quickly run b² - 4ac for each equation provided:

(note: ax² + bx + c is the formatting we use to find a, b, and c)

8² - 4(-9)(-8)

64 - 288 = -224

4² - (4)(1)(4)

16 - 16 = 0

-1² - (4)(-10)(-9)

-1 - 360 = -361

-6² - (4)(3)(3)

36 - 36 = 0

So, because the second and fourth options listed have a discriminant of 0, they have 1 real solution

hope this helps!! have a lovely day :)

Based on the circle graph,how many pounds of milk and eggs does the average American consume each year?PLEASE EXPLAIN IMAGE IS PROVIDED
E.300
F.368
G.460
H.552

Answers

About 492 pounds of milk and egg were consumed each year

Pie charts and percentages

Given the following parameters from the chart

Total consumption = 1640 pounds per person

The percentage of milk and egg = 100 -(38 + 10 + 10 +8 + 4)

The percentage of milk and egg = 30%

Determine the amount consumed each year

Amount of milk and egg consumed = 30% of 1640

Amount of milk and egg consumed = 492 pounds

Hence about 492 pounds of milk and egg were consumed each year

Learn more on pie chart here; https://brainly.com/question/26851221

#SPJ

Please help asap! 30 points
Given that f(x)=11, g(x)=x^2-6x+3, and h(x)= -x+4, find the function (g •h)(x).

Answers

Answer:

[tex](g \cdot h)(x)=x^2-2x+23[/tex]

Step-by-step explanation:

For composite functions, it's important to understand what the functions mean:

[tex](g\cdot h)(x)[/tex]  which is read as "g of h, of x" means [tex]g ( \text{ }h(x) \text{ })[/tex] which is read as "g of, h of x" (with slight pauses at the comma).  This means that x goes into the h function, and the output of the h function goes into the g function.

Putting "x" into the h function

[tex]h(x)=-x+4[/tex]

Since it is just "x" going into the h function, the function as written is the output when x is the input.

Putting the h function output, into the g function

[tex]g(x)=x^2-6x+3[/tex]

[tex]g(h(x))=(h(x))^2-6(h(x))+3[/tex]

Substitute

[tex]g(h(x))=(-x+4)^2+-6(-x+4)+3[/tex]

Squaring means the something multiplied by itself

[tex]g(h(x))=(-x+4)*(-x+4)+-6(-x+4)+3[/tex]

Use distributive property; (some people know binomial distribution as "FOIL" -- First, Outer, Inner, Last):

[tex]g(h(x))=[(-x)(-x)+4(-x)+4(-x)+4*4)]+[6x+4]+3[/tex]

Simplify the binomial terms:

[tex]g(h(x))=[x^2-8x+16]+[6x+4]+3[/tex]

Group like terms:

[tex]g(h(x))=x^2-2x+23[/tex]

Remember that [tex](g\cdot h)(x)[/tex]  means [tex]g ( \text{ }h(x) \text{ })[/tex]

[tex](g \cdot h)(x)=x^2-2x+23[/tex]

So, [tex](g \cdot h)(x)=x^2-2x+23[/tex]

the length of a rectangle is 5 cm less than 3 times its width. The perimeter is 62 cm.
What is the length?

Answers

Answer:

length=22 [cm].

Step-by-step explanation:

1) if the length is 'l' and the width is 'w', then it is possible

2) to write the given perimeter: 62=2(l+w), - this is the 1st equation of system;

3) to write the condition 'the length of a rectangle is 5 cm less than 3 times its width' as 3w-5=l, - this is the 2d equation of the system.

4) using two equations above it is possible to make up the next system:

[tex]\left \{ {{2(w+l)=62} \atop {3w-5=l}} \right. \ = > \ \left \{ {{w+l=31} \atop {3w-l=5}} \right. \ = > \ \left \{ {{l=22} \atop {w=9}} \right.[/tex]

5) finally, the length=22 [cm].

The pH can be calculated using the equation pH = –log(H+), where H+ is the hydronium ion concentration. Find the hydronium ion concentration of a particular soda if the pH level is 2.3.​

Answers

Answer:

Step-by-step explanationp :

ph =lo 4

In the following answer, why does 830 convert to 83000?

Answer:
Money borrowed from insurance company = $1000

Step-by-step explanation:

Let the money borrowed by her friend at 8% interest = x

Then the money borrowed by bank at 9% interest = 2x

Total money borrowed = $10,000

So, the money borrowed from insurance company = 10,000-(2x+x)

= 10,000-3x

Total interest for the first year = $830

We have the equation,

8%(x) + 9%(2x) +5% (10,000-3x) = 830

8x+18x+50,000-15x = 83,000

11x = 83000-50000

11x = 33,000

x = $3000

Then the money borrowed insurance company = 10,000-3x

= $1,000

Answers

Then the money borrowed insurance company is $1,000.

Money borrowed from insurance company = $1000

Let the money borrowed by her friend at 8% interest = x

Then the money borrowed by the bank at 9% interest = 2x

What is the total money?

Total money borrowed = $10,000

So, the money borrowed from the insurance company = 10,000-(2x+x)

= 10,000-3x

Total interest for the first year = $830

We have the equation,

8%(x) + 9%(2x) +5% (10,000-3x) = 830

8x+18x+50,000-15x = 83,000

11x = 83000-50000

11x = 33,000

x = $3000

Then the money borrowed insurance company = 10,000-3x

Then the money borrowed insurance company is $1,000.

To learn more about the insurance visit:

https://brainly.com/question/25855858

#SPJ1

When filling your gas tank, if you pay c dollars for g gallons of gas, you have the following table.


Choose all of the following statements that are true.


a.
The domain is {4, 8, 11, 15}.


b.
An 11 gallon tank would cost $44.00 to fill completely.


c.
A 9.1 gallon fill-up would cost $35.49.


d.
A 12 gallon tank would cost $47.40 to fill completely.

Answers

Option D statement "A 12-gallon tank would cost $47.40 to fill completely" is true.

What is a domain?

The whole of the independent variable's possible values makes up the domain of a function.

For the given data we need to find which of the given statements are true.

From option A:

The domain is {4, 8, 11, 15}.

The domain is all possible x values so this would be 0 to infinity as you can pay for more gallons not just to that certain set of numbers.

Therefore, option A is False.

From option B:

An 11-gallon tank would cost $44.00 to fill completely.

From the given table we can see that 11-gallon tank costs $43.45.

Therefore, option B is False.

From option C:

A 9.1-gallon fill-up would cost $35.49.

To find 9.1 gallons we need to find the cost of 1-gallon.

That is, 15.80/4 = $3.95 (Given in the table)

Now the cost of 9.1 gallon tank is $3.95 x 9.1 = $35.95 not $35.49

Therefore, option C is False.

From option D:

A 12-gallon tank would cost $47.40 to fill completely.

We found that 1 gallon is $3.95.

$3.95 x 12 = $47.40

Therefore, option D is True.

Hence, from the given statements option D is True.

To learn more about data visit:

https://brainly.com/question/12576014.

#SPJ1

On a coordinate plane, a dashed solid line has an equation of y less-than five-thirds x + 1. It has a positive slope and goes through (negative 3, negative 4) and (0, 1). Everything to the right of the line is shaded.
Which linear inequality will not have a shared solution set with the graphed linear inequality?

y < Five-thirdsx – 2
y < Negative five-thirdsx + 1
y > Five-thirdsx + 2
y > Negative five-thirdsx + 2

Answers

The inequality is represented by y < 5/3(x+1)

Use the information about the straight line and find the equation of the line.

Given coordinates (-3,-4) and (0,1), we can find the slope

Slope,  

Change in y = y2 – y1 = 1-(-4) = 5

Change in x = x2 – x1 = 0-(-3) = 3

Therefore, Slope (m) = Change in y / Change in x = 5/3

Equation of line using m = 5/3 and points (0,1) and (x, y) in form of y = mx + c

Y – 1/ X – 0 =5/3

3(Y-1) = 5(X)

3Y -3 = 5X

3Y = 5X + 3

Y = 5X + 3/3

Y = 5/3(X + 1)

To find the inequality take a point in the shaded region and check it in the above equation.

Given Options

a. y < Five-thirds x – 2

b. y < Negative five-thirds x + 1

c. y > Five-thirds x + 2

d. y > Negative five-thirds x + 2

 Let’s take points (-3,-4) for verification

  Option a: y < 5/3 (x-2)

                     -4 < 5/3(-3-2)

                      --4 < -3.33

-4 is less than -3.33

Thus option a is in the shaded region

 Option b: y < -5/3 (x+1)

                     -4 < -5/3(-3+1)

                      --4 < 3.33

-4 is less than 3.33

Thus option a is in the shaded region

 Option c: y > 5/3 (x+2)

                     -4 > 5/3(-3+2)

                      --4 > -1.67

-4 is NOT GREATER than -1.67

Thus option c is NOT in the shaded region

Option d: y > -5/3 (x+2)

                     -4 > - 5/3(-3+2)

                      --4 > 1.67

-4 is NOT GREATER than 1.67

Thus option d is NOT in the shaded region

Learn more about Inequalities at

https://brainly.com/question/13447558

#SPJ10

Answer:

y > Five-thirdsx + 2

Step-by-step explanation:

Help me please, geometry

Answers

Answer:

x = 19.5 (nearest tenth)

Step-by-step explanation:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angle

O is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)

Use the cos ratio to find the measure of the altitude (the perpendicular drawn from the vertex of the triangle to the opposite side):

[tex]\implies \cos(47^{\circ})=\dfrac{a}{18}[/tex]

[tex]\implies a=18\cos(47^{\circ})[/tex]

Now use the sin ratio to the the measure of side x:

[tex]\implies \sin(39^{\circ})=\dfrac{a}{x}[/tex]

[tex]\implies x=\dfrac{a}{\sin(39^{\circ})}[/tex]

[tex]\implies x=\dfrac{18\cos(47^{\circ})}{\sin(39^{\circ})}[/tex]

[tex]\implies x=19.50671018[/tex]

Therefore, x = 19.5 (nearest tenth)

1. What is pi?

2. And why is it important?

Answers

Answer:

pi [π] is the ratio of a circle's circumference to its diameter, and it is constant [meaning it is always the case] for all circles.

{this is a long number, 3.141592653589793238... is not even the full length, but 3.14 [or 3.14159] is typically used for estimation}

The significance of pi is typically centered in math--it can be used to find values that we don't know of circles. There are other areas of math that have been related back to the value of pi--which is incredible, and genuinely relevant.

We can find pi in the shape of rivers, physics--including waves--DNA

[+ anywhere there is a circle]

hope this helps!! :)

Answer:

ratio of circle's circumference to diameter

it is constant

On a unit circle, Ø = 60°. Identify the terminal point and Tan Ø

Answers

The terminal points when the value of r is 1 will be 0.5 and 0.86 and the value of tan 60 will be 1.732.

What is angle measurement?

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

Given;

Ø = 60°

Let's assume the value of r = 1 units

The terminal points are;

x= rcosΘ

x=1 × cos 60°

x=0.5

y=rsinΘ

y=rsin60°

y = 0.86

The terminal points when the value of r is 1 will be 0.5 and 0.86.

The value of the tan for the given value of the angle;

Tan 60° = 1.732

Hence, the terminal points when the value of r is 1 will be 0.5 and 0.86 and the value of tan 60 will be 1.732.

To learn more about the angle measurement, refer to the link;

https://brainly.com/question/14684647

#SPJ1

Figure ABCD is transformed to obtain figure A′B′C′D′:


DIAGRAM INCLUDED! 100 Points!

Part A: Write the sequence of transformations that changes figure ABCD to figure A′B′C′D′. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)

Part B: Are the two figures congruent? Explain your answer. (4 points)

Answers

Answer:

Part A

Reflect over the y-axis:  (x, y) → (-x, y)
A (-4, 4) → (4, 4)
B (-2, 2) → (2, 2)
C (-2, -1) → (2, -1)
D (-4, 1) → (4, 1)
Shift 4 units down:  (x, y-4)
(4, 4-4) → A' (4, 0)
(2, 2-4) → B' (2, -2)
(2, -1-4) → C' (2, -5)
(4, 1-4) → D' (4, -3)

Part B

Two figures are congruent if they have the same shape and size.  (They are allowed to be rotated, reflected and translated, but not resized).

Therefore, ABCD and A'B'C'D' are congruent.  They are the same shape and size as they have only be reflected and translated.

Which expression is equivalent?

Answers

Answer:

Last one/D 9^9/5/5^9/10

Step-by-step explanation:


Solve the compound inequality .
2w-2<-8 and 4w+3<11

Write the solution in interval notation. If there is no solution, enter 0

Answers

Answer: [tex](-\infty, -3)[/tex]

Step-by-step explanation:

[tex]2w-2 < -8\\\\2w < -6\\\\w < -3[/tex]

[tex]4w+3 < 11\\\\4w < 8\\\\w < 2[/tex]

So, the solution is [tex](-\infty, -3)[/tex]

4x² + 24x + 20
common factor =

Answers

The common factor is 4

What is the square root of -1? Complex numbers

Answers

Answer:

The square root of -1 is i

Step-by-step explanation:
"i" is the imaginary unit and represents the value of sqrt -1

Please help, will give the brainliest!


(J) 80 • 125

(K) (80+65) • 125

(L) (65 • 80) + (80 • 60)

M (65•80)+(80•60)

N (65•80)+ 1/2 (125 • 100)

Answers

Answer:

option N is the correct option, apply Formula of area of rectangle and triangle by splitting figure into 2 parts

The mean of 6 numbers is 17. Four of the numbers are 15, 17, 20, and 22. The remaining two numbers are each equal to x. Calculate the sum of the 06 numbers and the value of x.

Answers

Answer:

Sum of 6 no. = 102

X = 14

Let the unknown no. be X

mean= sum of all no. / no. of terms

17 = 15 + 17 + 20 + 22 + X+ X / 6

17 * 6 = 74 + 2X

102 - 74 = 2X

28 = 2X

28/2 = X

14= X

i give brainliest to first person who gets it correct

Answers

Answer:

(-4,-3)

Step-by-step explanation:

The point where those 2 equations intersect is (-4,-3)

If a population of a town is recorded at 1,200 in the year 2000 and the population increases by exactly 50 people each year, what will be the population of the town in 2018? Be careful to treat the year 2000 as the beginning; let x be the number of years since the year 2000.

The answer is not 2,100

Answers

The population at the end of the year 2018 will be 2150.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that:-

If a population of a town is recorded at 1,200 in the year 2000 and the population increases by exactly 50 people each year, what will be the population of the town in 2018.

The population will be calculated as the year 2000 is also considered:-

P = Total years x Increase per year

P = 19 x 50

P = 2150

Therefore the population at the end of the year 2018 will be 2150.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ1

A Cepheid star is a type of variable star, which means that its brightness is not constant.

The relationship between the brightness of a Cepheid star and its period, or length of its pulse, is given by

M = − 2.78 (log P) − 1.35,

where M is the absolute magnitude, or brightness, of the star, and P is the number of days required for the star to complete one cycle.

Use a calculator to solve each problem. Round your answers to the nearest hundredth.

What is the absolute magnitude of a star that has a period of 62 days?

Answers

A function assigns the values. The absolute magnitude of a star that has a period of 62 days is -6.3328.

What is a Function?

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

The relationship between the brightness of a Cepheid star and its period, or length of its pulse, is given by

M = − 2.78 (log P) − 1.35,

Given the absolute magnitude of a star that has a period of 62 days is,

M = − 2.78 (log 62) − 1.35

M = -6.3328

Hence, the absolute magnitude of a star that has a period of 62 days is -6.3328.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ1

Find the equation of a line containing the points (−2,−4) and (1,−3).

Answers

Using the points, we can make a system of equations:
-4 = m(-2) + b
-3 = m(1) + b —> -3 = m + b —> -3 - m = b


Substitute (-3 - m) for b:
-4 = m(-2) + (-3 - m)
-4 = -2m -3 - m
-1 = -3m
1/3 = m


Plug in the solved m value to solve for b:
-4 = (1/3)(-2) + b
-4 = -2/3 + b
-3 1/3 = b

Write your final equation:
y = 1/3x - 10/3

In our QR class, 43% live in Massachusetts. Of the Massachusetts residents, 67% live in
Boston. What percentage of the class lives in Boston?

Answers

Answer:

The answer will be 63%.

Step-by-step explanation:

they have all ready mentioned that.

At a soccer game, a vendor sold a combined total of 220 sodas and hot dogs. The number of sodas sold was 46 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.

Answers

Answer:

133 sodas

87 hot dogs

I've completed the work in the photo, just trying to reach the letter count lol

Question 13 of 50
Choose two statements (the original conditional statement and its converse)
that could form the biconditional "The object weighs a ton if and only if the
scale reads 2000 pounds."
A. If the object weighs a ton, then the scale reads 2000 pounds.
B. If the scale does not read 2000 pounds, then the object does not
weigh 2000 pounds.
C. If the scale reads 2000 pounds, then the object weighs a ton.
D. The scale reads 2000 pounds if and only if the object weighs a
ton.


it can be more then one answer too

Answers

Conditional statements are ones that begin with a hypothesis and end with a conclusion. The correct option is A and C.

What are conditional Statements?

Conditional statements are ones that begin with a hypothesis and end with a conclusion. It is sometimes referred to as a "If-then" statement. If the hypothesis is correct but the conclusion is incorrect, the conditional statement is incorrect.

The two statements that among which one is original and the other one is its converse is If the object weighs a ton, then the scale reads 2000 pounds, and  If the scale reads 2000 pounds, then the object weighs a ton.

Hence, the correct option is A and C.

Learn more about Conditional Statements:

https://brainly.com/question/18152035

#SPJ1

Other Questions
Q3. Which among the following are made up of cells?Wooden table (Yes/No)Glass sheet (Yes/No)Liver (Yes/No)Plastic bag (Yes/No)Kidney (Yes/No) What did the publication of sports related books by prominent sports psychologists do for the field? what is the equation?3 + 5(2 + 7n) = 258 Question 2 of 10Which situation best illustrates how global trade promotes specialization?OA. A country tries to create a trade surplus by producing a widevariety of products that other countries want.OB. A country ensures that it will not become too reliant on trade byproducing all of its most essential goods.OC. A country focuses on developing software instead of growingfood because it can import food from its neighbors.D. A country sets strict limits on the amount of goods it can export toother countries in a single year. The data table shows how the amplitude of a mechanical wave varies with the energy it carries. Analyze the data to identify the mathematical relationship between amplitude and energy. Use your equation to find the energy if the amplitude is 6 units. Amplitude Energy 1 unit 2 units 2 units 8 units 3 units 18 units 4 units 32 units A. 66 units B. 60 units C. 72 units D. 74 units Family members, primarily women, often perform a valuable function in keeping other family members informed about the well-being of other family members. this creating, maintaining and monitoring function informs other family members when others need emotional and physical support. this has come to be known in the academic literature as ________. which of the following is a component of rna but not a component of dna 1. ribose 2. deoxyribose 3. phosphate group4. Nitrogen bases A C T G Read the excerpt from "Opening Ceremonies of the New York and Brooklyn Bridge" by Hon. Seth Low, Mayor of the City of Brooklyn.Fourteen times the earth has made its great march through the heavens since the work began. The vicissitudes of fourteen years have tried the courage and the faith of engineers and of people. At last we all rejoice in the signal triumph. The beautiful and stately structure fulfills the fondest hope. It will be a source of pleasure to-day to every citizen that no other name is associated with the end than that which has directed the work from the beginning--the name of Roebling. With all my heart I give to him who bears it now the city's acknowledgment and thanks.What is the central idea of this excerpt?Low explains that it took Roebling fourteen years to design and build the Brooklyn Bridge.Low celebrates the completion of the Brooklyn Bridge and the hard work that went into building it.Low takes credit for managing the planning and construction of the Brooklyn Bridge.Low complains that the construction of the Brooklyn Bridge took much longer than it should have. What does Babbie mean when he says that things are not what they seem when we read about controversial issues such as welfare? Which quotation from the passage best supports that this statement is the central idea?Effective journalists build strong contacts in the community.A. "There would be a learning curve, but I would also get to write every single day."B. "And thanks to my first story, Id already met most of the school administrators in person and had the beginnings of an actual list of sources for future stories."C. "During my first few months looking for a job, I sent out countless resumes and only had one interview."D. "Fortunately, after fine-tuning the state budget, the governors office was able to reinstate the aid money for area school districts." A car is moving with constant velocity of 30m/s what is it's acceleration in 10s Question 8 of 32How can you best improve your emotional and mental health?A. By drinking alcoholB. By eating unhealthful snacksC. By sharing your feelingsD. By wearing a seat belt You respond to a scene in which nearby containers of hazardous materials have come open and appear to be leaking. you should: $50 item discounted 30% What ls lndigenous weather forecasting. Which represents a quadratic function?f(x) = 2x + 2x - 4f(x) = -7x-x+2f(x)=-3x + 2f(x) = 0x + 3x-3 the volume of a cube depends on the length of its sides.this can be written in function notation as v(s). what is the best interpretation of v(4) =64 ESSAY: CHARACTER SKETCHHere is your goal for this assignment:Apply an understanding of characterization in your own writingWrite a character sketch of at least 400 words about someone you know. Choose the person you wish to write about, and decide what personality traits you wish to discuss about him or her. Answer the questions below and write your paper. Carefully proofread anything you write. This is a good habit for any writer.When you choose a person about whom you wish to write, you must ask yourself a few questions:What has he done to make me feel that his character is happy, unselfish, evil, kind, patient, sad, irreverent, etc.?What has he said to back up my opinion?What details about the physical appearance or conduct of this person would add to my impression?What personal habits does he have?How does he react under stress?How does he react to other people?What impression does his facial expression bring to others?You must reach a conclusion about these questions before you begin writing. How do authors present and develop characters? Choose four answers. the way characters are described the situations in which the characters interact the number of characters in each chapter dialogue between characters conflicts within and between characters How do authors present and develop characters ? Choose four answers . the way characters are describedthe situations in which the characters interact the number of characters in each chapterdialogue between characters conflicts within and between characters Write and solve a proportion to complete the statement. Round to the nearest hundreth if necessary. 1. 6km ?mi2. 2.5 L ?gal3. 90lb ?kgpls help