A baker uses 1 1\2cups of flour to make 12 cupcakes. How much flour does the baker use to make 288 cupcakes?

Answers

Answer 1
Answer is 36 cups flour for 288 cupcakes

We can find the answer using cross multiplication

First change 1 1/2 cups to 1.5 for easy math

1.5c flour / 12 cupcakes = x flour/ 288 cupcakes

1.5 x 288 = 12 x

432 = 12x

36 = x

36 cups flour for 288 cupcakes

You can also find the ratio of flour to cupcakes. 1.5 ➗ 12 cupcakes = .125

Multiply ratio of .125 x 288 cupcakes you get 36 cups flour.

Related Questions

URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS

Match the operation with it's inverse operation you would use to solve an equation

Answers

Answer:

1. e

2. c

3. f

4. b

5. a

6. d

Step-by-step explanation:

Addition - Subtraction

Subtraction - Addition

Multiplication - Division

Division - Multiplication

x^2 = square root X

square root x = x^2

Answer:

A to 5. B to 3. C to 1. D to 6. E to 2. F to 4.

Step-by-step explanation:

It makes sense.


Lucy earns $15.75 per hour. Last week she worked 25 hours. What is her gross pay?
Lance has a yearly salary of $52,300 and pays 21% in taxes. Answer the following

a. How much does he pay in taxes?

b. What is his net pay?

c. If he receives two paychecks a month, how much will each paycheck be?

Answers

If Lucy earns $15.75 per hour. Last week she worked 25 hours her gross pay is $393.75 . If Lance has a yearly salary of $52,300 and pays 21% in taxes her  taxed amount  is $10,983, net pay is  $41,317 and paycheck is $2,179.

Gross pay

1. Gross pay

Using this formula to determine the gross pay

Gross pay = Amount earn per hour × Number of hours worked

Let  plug in the formula

Gross pay =  $15.75 per hour × 25 hours

Gross pay = $393.75

2a. Taxed amount

Amount in Tax = Salary × Tax percentage

Amount in taxes = $52,300 × 21%

Amount in taxes = $10,983

2b. Net pay

Net pay = Gross  - Deduction

Net pay =  $52,300 - $10,983

Net pay = $41,317

2c. Paycheck

Paycheck = $52,300 / 24 months

Paycheck = $2,179 per paycheck

Therefore we can conclude that the her gross pay is $393.75

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Henry read 6 books in 2 months. if he reads at a constant rate, how many books did he read each month? give your answer as a whole number or a fraction in simplest form.

Answers

The number of books Henry read each number is 3 or 6/2 in a fraction.

A fraction is used to denote a portion or component of a whole. It stands for the proportionate pieces of the whole. The numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.

As given in the question,

The number of books read in 2 months is 4.

Henry read books at a constant rate.

The Number of books read by Henry in 1 month is ( 6/2 ) = 3 books.

Therefore, the number of books read by Henry as per the given condition of reading 6 books in 2 months at a constant rate is equal to 6/2.

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Find the equation of the line that is parrallel to y=-x+9 and contains the point (7,-13)

Answers

Answer:

y = - x + 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - x + 9 ← is in slope- intercept form

with slope m = - 1

• Parallel lines have equal slopes , then

y = - x + c ← is the partial equation of the parallel line

to find c substitute (7, - 13 ) into the partial equation

- 13 = - 7 + c ⇒ c = - 13 + 7 = - 6

y = - x + 6 ← equation of parallel line

Answer:

[tex]\rm{y=-x-6}[/tex]

Step-by-step explanation:

Parallel lines have the same slope. So the slope of the line that's parallel to

[tex]\sf{y=-x+9}[/tex] is[tex]\sf{-1}[/tex]

Now, plug that into the Point-slope formula:

[tex]\rm{y-y_1=m(x-x_1)}[/tex]

Where:

[tex]\rm{y_1}[/tex] is the y-coordinate of the point[tex]\rm{m}[/tex] is the slope[tex]\rm{x_1}[/tex] is the x-coordinate of the point

Plug in the values:

[tex]\rm{y-(-13)=-(x-7)}[/tex][tex]\rm{y+13=-(x-7)}[/tex][tex]\rm{y+13=-x+7}[/tex][tex]\rm{y=-x+7-13}[/tex][tex]\rm{y=-x-6}[/tex]

I hope this helps!!

Mark is 6 years younger than 2 times his brother. If their combined age is 24, how old is mark?

Answers

Answer:

  14

Step-by-step explanation:

You want to know how old Mark is if he is 6 years younger than twice his brother's age, and their combined age is 24.

Relations

Let m and b represent Mark's age and his brother's age, respectively.

The given relations are ...

m = 2b -6m + b = 24

Solution

Solving the second equation for b, we have ...

  b = 24 -m

Using that in the first equation gives ...

  m = 2(24 -m) -6

  m = 48 -2m -6

  3m = 42 . . . . . . . . . add 2m, combine like terms

  m = 14

Mark is 14 years old.

__

Check

Mark's brother is 24 -14 = 10. Twice that less 6 is 2×10 -6 = 14, which is Mark's age, as it should be.

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the volume of a cube is 64cm³. what is the total surface area.​

Answers

Answer:[tex]96cm^2\\[/tex]

Step-by-step explanation:

64= [tex]x^3\\[/tex]

[tex]\sqrt[3]{64} =4[/tex]

So a side is 4, and surface area of one side is 4x4 = [tex]16cm^2[/tex]

cude has 6 faces, 16*6 = [tex]96cm^2\\[/tex]

Answer:

96 cm²

Step-by-step explanation:

If the side of a cube is a, then volume = a³

There are six surfaces for a cube and each surface has an area of a²
So total surface area = 6a²

Since we are given volume = 64 cm³, each side must be ∛64 = 4 cm

So total surface area = 6 x 4² = 6 x 16 = 96 cm²

please answer this question to do with shapes

please explain the steps in detail

Answers

Area of the shape formed by joining triangle , trapezium and rectangle with height 3.5cm is equal to 6.25cm².

As given in the question,

Height of the shape = 3.5cm

length of the rectangle =3cm

Base of a triangle= 8mm

                           = 0.8cm

Parallel sides of the trapezium

side1 = 0.8cm

side 2= 3cm

Let x represents the height

Ratio of the height of rectangle ,trapezium and triangle =2:3:2

2x +3x+2x =3.5

⇒7x =3.5

⇒x =0.5

Height of rectangle =2×0.5

                             = 1cm

Height of trapezium =3×0.5

                               = 1.5cm

Height of the triangle =2×0.5

                                 = 1cm

Area of triangle = (1/2)× 0.8 ×1

                        = 0.4cm²

Area of trapezium = (1/2) ×(0.8+3)×1.5

                            = 2.85cm²

Area of rectangle = 3 ×1

                            =3cm²

Area of the shape =0.4 +2.85 +3

                            = 6.25cm²

Therefore, area of the shape formed by joining triangle , trapezium and rectangle with height 3.5cm is equal to 6.25cm².

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Identify the function that fits the description given below.
The function whose domain consists of all nonnegative real numbers.
Select all that apply.

Answers

The function which contains non-negative real number is y = (x - 1)² and the domain is [0, ∝).

What is real number?

In mathematics, real number are those numbers which contain negative numbers, whole numbers as well as natural numbers. And all the positive real number lies in the first quadrant in the graph. The set of real numbers (denoted by R) includes both rational numbers (positive, negative and zero) and irrational numbers.

According to the question, the given functions whose domain consists of all non-negative real numbers.

Non-negative real numbers lie in the first quadrant. Therefore, the function(d) contains all non-negative real numbers.

Given function: y = (x - 1)²

The domain for this function is: [0, ∝)

Hence, the function which contains non-negative real number is y=(x - 1)² and the domain is [0, ∝).

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Solve for the value of X

Thank you so much to anyone who solves this!!

Answers

Answer:

x=37

Step-by-step explanation:

3x + 3 + 2x - 8 = 180

solve for x and x = 37

hope this helped

have a good day sir ^^

Answer:

x=37

Step-by-step explanation:

180=5x+3-8

180=5x-5

+5      +5

185=5x

/5     /5

37=x

x=37

Hi could you help me on this question I don’t really know how to answer this..? I will mark brainliest!

Answers

The postulate that can be used to prove that the triangles are congruent is: AAS.

What is the AAS Congruence Postulate?

The AAS congruence postulate states that if two angles and one non-included side of one triangle are congruent to corresponding two angles and one non-included side of another triangle, it can be proven that both triangles are congruent triangles.

From the image, we know that triangles RST and UVT have:

Two pairs of congruent angles, which are angle RST ≅ angle UVT and angle RTS ≅ UTV (vertical angles)

One pair of non-included congruent sides, which are RT ≅ UT.

Thus, we can conclude that they are congruent triangles based on the AAS congruence postulate.

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A city has a sales tax.

Is there a proportional relationship between the cost of items before tax and the cost of items after tax?
Yes
What is the constant of proportionality?

Answers

1. Yes. There is a proportional relationship between the cost of items before tax and the price after tax because they share a constant of proportionality.

2. The constant of proportionality refers to the relative ratio that establishes the proportional relationship between two values.

What other descriptions refer to the constant of proportionality?

Other descriptions of the constant of proportionality include:

Constant ratioConstant rateUnit rateConstant of variationRate of change.

Two variables possess a proportional relationship when their ratio or product produces a constant.

We can use the equation, k = y ÷ x, to find the constant of proportionality.

For instance, let the cost of items before tax be $100 with a 7% sales tax. The cost of the articles after tax is $107.

Therefore, the constant of proportionality is 1.07 ($107/$100).

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20 PTS SOLVE PLS
LOOK AT PICTURE

Answers

Answer:

[tex]\frac{x}{3}\sqrt{\frac{x}{3}}[/tex]

Step-by-step explanation:

[tex]g(h(x))=g(x/3)=\sqrt{x/3} \\ \\ f(g(h(x)))=f(\sqrt{x/3}) \\ \\ =(\sqrt{x/3})^3 \\ \\ =\frac{x}{3}\sqrt{\frac{x}{3}}[/tex]

Plot the image of point D under the dilation about the origin (0 , 0) with a scale factor of 3

Answers

The dilated picture of the point D dilation that is necessary is -6.

Given that,

To determine thee dilated image of point D (-2, 0), on the graph.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

The scale factor is defined as the ratio of modified change in length to the original length.

Here,Formerly point D is located at (-2, 0).

Now multiplying with the scale factor 3 the point goes

(-2 * 3, 0*3) => (-6, 0).

Thus, The required dilated image of the dilation of point D is -6.

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What is the measure of

Answers

The measure of angle AXY based on the information will be A. 70°.

How to calculate the angle?

It should be noted that the value of a right angle is equal to 90°.

In this case, we will add the angles that are given and equate them to 90°. This will be:

6x + 40 + 10 + 2x = 90°

8x + 50 = 90°

Collect like terms

8x = 90° - 50°

8x = 40°

Divide

x = 40° / 8

x = 5°

Therefore, the value of angle AXY will be:

= 6x + 40

where x = 5.

= 6(5) + 40

= 30 + 40

= 70°

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Please help me on this question!

Answers

The answer is y=-4 and x=-2
To solve for x
You substitute -4 into y from one of the equations and you get x=-2
6x+5(-4)=-32
6x-20=-32
6x=-12
X=-2

Draw the net force arrow on the picture to the left.​

Answers

Answer:

Step-by-step explanation:

Which answer choice best represents the intercepts of the graph of r?
A x-intercept: (5,0)
y-intercepts: (0, 10) and (0, - 2)

B x-intercepts: (0, - 10) and (0, 2)
y-intercept: (-5,0)

C x-intercept: (0,5)
y-intercepts: (10,0) and (-2, 0)

D x-intercepts: (-10,0) and (2,0)
y-intercept (0,-5)

Answers

Answer: D

Step-by-step explanation:

The x-intercepts are where the graph meets the y-axis.

The y-intercepts are where the graph meets the x-axis.

Answer: D x-intercepts: (-10,0) and (2,0)

y-intercept (0,-5)

which is not a reason for the small size of cells? a. as the linear dimensions of a cell increase, the volume increases twice as fast as the surface area.

Answers

(C) "Eukaryotic cells must be smaller than prokaryotic cells due to the increased number of organelles" is not the reason for the small size of the cells.

What are cells?It is possible for cancer cells to separate from the primary tumor and move through the blood or lymphatic system to distant parts of the body, where they exit the blood vessels to create new tumors. Metastasis is the term for this. Cells that divide uncontrollably and invade neighboring tissues are what cause cancer. The type of cell that develops into cancer in adults is typically an epithelial cell. Body cavities and the exterior of the body are lined with epithelial cells. Environmental exposure to these cells over time can result in cancer.

The reasons for the small size of cells are as follows:

Wastes and nutrients must pass through the plasma membrane to enter and exit the cell.There are limitations to how much cytoplasm the nucleus can regulate.The cytoplasm must allow materials to move through it quickly and effectively.The volume grows twice as quickly as the surface area as a cell's linear dimensions increase.

Option (C) is not mentioned the reasons for the small size of the cell, so (C) is the answer.

Therefore, (C) "Eukaryotic cells must be smaller than prokaryotic cells due to the increased number of organelles" is not the reason for the small size of the cells.

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The complete question is given below:

Which is NOT a reason for the small size of cells?

A) nutrients and wastes must enter and leave the cell through the plasma membrane

B) the nucleus can only control a certain amount of cytoplasm

C) the increased number of organelles requires that eukaryotic cells be smaller than prokaryotes cells

D)materials must be able to move quickly and efficiently through the cytoplasm

E) as the linear dimensions of a cell increase, the volume increases twice as fast as the surface area

The head gardener at a botanical garden wants to plant rosebushes in parallel rows on either side of an existing footpath. How can the gardener ensure that that the rows are parallel

Answers

If the rows are  perpendicular to the footpath, then the gardener ensure that that the rows are parallel.

Parallel:

Any two lines are said to be parallel if the Corresponding angles so formed are equal.

Given,

The head gardener at a botanical garden wants to plant rosebushes in parallel rows on either side of an existing footpath.

Here we need to find how can the gardener ensure that that the rows are parallel.

To know the answer, we have to consider the following,

Let us consider,

If the gardener digs every row at a 90° angle to the footpath, then each row will be exactly perpendicular to the foot path of the garden.

Which means,

If the rows are  perpendicular to the footpath, then the rows are parallel.

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Help me please i dont get how to do it

Answers

The linear graph of y = 2x + 3 is shown below.

How to Draw the Graph of a Linear Equation?

To graph the linear equation, plot each points from the table of values on a coordinate plane then connect the points to each other as a straight line.

Given the table, to fill it, substitute each value of x into y = 2x + 3:

For x = -2:

y = 2(-2) + 3

y = -4 + 3

y = -1

For x = -1:

y = 2(-1) + 3

y = -2 + 3

y = 1

For x = 0:

y = 2(0) + 3

y = 3

Thus, plot the points, (-2, -1), (-1, 1), (0, 3), (1, 5), and (2, 7) on a graph. The graph is shown below.

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what is the difference 2/5(d-10)-2/3(d+6)

Answers

The difference between 2/5(d-10)-2/3(d+6) is -56.

Firstly simplifying the terms to find the difference. Simplifying the first part -

Rewriting the expression

Expression 1 = 2/5(d - 10)

Multiplying the terms with the bracket

Expression 1 = 2d/5 - ((2×10)/5)

Multiplying the terms on Right Hand Side

Expression 1 = 2d/5 - 2×2

Performing multiplication

Expression 1 = 2d/5 - 4

Simplifying the second part -

Rewriting the expression

Expression 2 = 2/5(d + 6)

Multiplying the terms with the bracket

Expression 2 = 2d/5 + ((2×6)/5)

Multiplying the terms on Right Hand Side

Expression 2 = 2d/5 - 12×5

Performing multiplication

Expression 2 = 2d/5 - 60

Subtracting expression 2 from expression 1

Difference = 2d/5 - 60 - (2d/5 - 4)

2d/5 will be subtracted to give 0

Difference = - 60 + 4

Performing subtraction

Difference = - 56

Therefore, the difference between mentioned expressions is -56.

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2) you are comparing two investment options that each pay 6 percent interest, compounded annually. both options will provide you with $12,000 of income. option a pays $2,000 the first year followed by two annual payments of $5,000 each. option b pays three annual payments of $4,000 each. which one of the following statements is correct given these two investment options? assume a positive discount rate. (no calculations needed.) a) both options are of equal value since they both provide $12,000 of income. b) option a has the higher future value at the end of year 3. c) option b has a higher present value at time 0. d) option b is a perpetuity. e) option a is an annuity.

Answers

Answer:

The correct answer is B) Option B has a higher present value at time zero.

Step-by-step explanation:

We use spreadsheets to compare both options.

We have to calculate

future value

present value

Option A

Net Present Value (NPV) 10534,87

Future value  12.547

Option B

Net Present Value (NPV) 10692,05  is higher than option A

Future value  12.734 is higher than option A

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Sam improved his score by 20% for the 1st semester, and in the 2nd semester his score improved by 10% what is sams score percentage for the whole year

Answers

Sam's score percentage for the whole year was  15 %

This  is a simple question of average,

Sam improved his score by 20% in the 1st semester, and in the 2nd semester, his score improved by 10%.

let 20  in out of 100 and 10 out of 100.

then, the total percentage score is equal to 20+10=30.

and, the total percentage in which out of getting is 100+100 =200

we have to find sam's score percentage for the whole year

which is equal to the total percentage score by sam's divided by percentage which is out of getting and whole multiplied by 100 Because we are finding the percentage.

=>30*100/200=>15 percentage.

So, Sam's score percentage for the whole year= is 15 %

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Henry purchases $56.00 worth of clothing at the store. The sales tax in his city is 7.5%. What is the total cost of the clothing?​

Answers

Answer:

$60.20

Step-by-step explanation:

7.5 percent of 56 can be found by multiplying 56 times .075, which equals 4.2. Add that to 56 and you get the total cost, which is $60.20

What is the value of x in the equation?



6x + 24 - 4x = 30

Answers

Answer:2x+ 24

Step-by-step explanation:

6x-4x=2x+ 24

Answer:

✨hello mark as branlist pls x=3

Step-by-step explanation:

6x+24−4x=30

6x+24−4x=30

6x+24+−4x=30

(6x+−4x)+(24)=30

2x+24=30

2x+24=30

2x+24−24=30−242x=6

2x

2

=

6

2

x=3

Help me with this pleaseeee

Answers

Answer:

2, 3

Step-by-step explanation:

[tex]g(x)=\frac{1}{2}(4x+6) \\ \\ =2x+3[/tex]

3) Write the equation of the line (in slope-intercept) that passes through (3,10)

a) and is parallel to y = x - 1


b) and is perpendicular to y = x - 1

Answers

The Equation of line -

When line is parallel to line y = x - 1 is y = x + 7When line is perpendicular to line y = x - 1 is y = x + 7

What is the slope intercept form of a line?

The slope intercept form of a line is given by -

y = mx + c

m is the slope of line

c is the y - intercept

Given is a line that passes through the point (3, 10) and in case [1] is parallel to line y = x - 1 and in case [2] is  perpendicular to y = x - 1.

Case 1 -  Line is parallel to the line y = x - 1

Assume that the equation of line is -

y = mx + c

Since, the line is parallel, both lines will have same slope and is given by -

m = 1

Since, the line passes through the point (3, 10) we can write -

10 = 1 x 3 + c

c = 7

We can write the equation of line parallel to line y = x - 1 as -

y = x + 7

Case 2-  Line is perpendicular to the line y = x - 1 -

Assume that the equation of line is -

y = mx + c

Since, the line is perpendicular, the product of slopes of both lines will be equal to 1. The slope (m) of the line will be -

m x 1 = -1

m = -1

Since, the line passes through the point (3, 10) we can write -

10 = -3 + c

c = 13

We can write the equation of line perpendicular to line y = x - 1 as -

y = - x + 13

Therefore, the equation of line -

When line is parallel to line y = x - 1 is y = x + 7When line is perpendicular to line y = x - 1 is y = x + 7

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What is the volume (in cubic units) of a sphere with a radius of 9 units and height of 7 units? assume that it = 3.14 and round your answer to the nearest tenth when necessary.

Answers

After solving with help of the formula to find the volume of the sphere we find that the volume of the sphere is 3053.63

The radius of the sphere = 9 units

Height of sphere  =7 units

 the value of π is given in the question =3.14

The volume of the sphere = 4/3 × π × r^3

                                             = (4/3) × 3.14×9^3

                                             = (4/3) × 3.14 × 27

                                             = 4 × 3.14 × 9

                                             = 36 × 3.14

                                             = 3053.63

The volume of the sphere is 3053.63

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please help fast and provide explanation so I know how to find the answer​

Answers

Option A 2X+y=1, the perpendicular graph, is correct.

What is x axis and y axis?Two parallel lines, known as axes (pronounced AX- eez), that are perpendicular to each other make up a coordinate grid. Typically, the term "x-axis" refers to the horizontal axis. The y-axis is the common name for the vertical axis. The origin is the location where the x- and y-axes intersect.A two-dimensional number line, such as two perpendicular number lines oraxes, can be thought of as a coordinate system. This coordinate system is typical: The x-axis and y-axis are the names of the horizontal and vertical axes, respectively.The vertical y-axis is aligned with the horizontal x-axis. "X is a cross hence the -axis is across" is one approach to remember which axis is which.

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Find the value of r so the line that passes through the pair of points has the given slope. (6, 8), (r, −2), m=1

Answers

Answer:

r=-4

Step-by-step explanation:

use the slope formula

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

Then plug in x and y values and set that equal to m=1

1=[tex]\frac{-2-8}{r-6}[/tex]

multiply r-6 over

r-6=-10

r=-4

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The graph of y=-2x + 1 is shown. Park a cover 4,926 square kilometers. It is 1,845 square kilometers larger than park b. Park c is 4,006 square kilometers larger than park a. What is the are of all three parks The hypotenuse of a triangle is 13 long. The leg is 7 inches longer than the shorter leg. Find the side lengths of the triangle. Porque hicimos la transacin de cazadores. recolectores a sociedades establecidas? A dairy farm has a real estate tax rate of $57.26 per thousand dollars of assessed value. If the farm is assessed at $665,500.00 what is the real estate tax? Match the typical characteristics of focus with the appropriate age group. an approximate partition function for a dense gas is given by where and are constants that are independently determined from molecular parameters. calculate (a) the thermal equation of state, (b) the energy , and (c) constant volume specific heat for this gas. d) finally, show that (these results correspond to the van der waals equation of state which approximates effects due to intermolecular interactions) . Convert 5yd^2 to square centimeters Enter the correct answer in the box.Simplify the expression (6^2)4. Circles on a coordinate plane that follows.Over the centuries the story has been told and retold and told again, often with a widely varying cast of characters. Knights,priests and priestesses, kings and queens, and various users of magic come and go, but always there is Arthur, the sunaround which all else revolves, his faithless wife (Guinevere), his equally-faithless best friend (Lancelot), the illegitimate son(Mordred) who becomes his bane-and Merlin. Whatever his role, Merlin is always there, and it is always clear that Arthurcould not have existed. survived, or become King without him.Source: Bradley, Marion Zimmer. "The Once and Future Merlin." Fictionwise.com. Fictionwise LLC, n.d. Web 7 July 2011.What is the author's purpose in the above passage, and how does she achieve it through her organization and choice ofdetails? In a forecasting model using simple moving average, the shorter the time span used for calculating the moving average, the closer the average follows volatile trends. True or false?. 21. Write a conclusion, using the fimulation andgraph. Use what you have learned in this activity to support the following two statemerHow the molecules in a solid, liquid and gas compare to each other.How temperature relates to the kinetic energy of molecules. Rental cost for offices spaces have been going up at 6. 2% per year compounded annually for the past 5 years. If office space rent is now at a rate of $32 per square foot per month, what were the rental rates 5 years ago?. in the westing game chapter 21:Josie-Jo Ford's mother had been a servant in the Westinghousehold, and her father had been a gardener on his daysoff from the railroad.A TrueB False Into passive voiceDoes Ram compose classical music? Justin has $56.05 and needs to go downtown. For the cab ride, there is an initial fee of $3.19 with a $0.44 charge for every half mile.If m represents every half mile, which equation could determine exactly how far can Justin travel?ABD56.05 = 3.19 +0.44m56.05 = 3.19m +0.440.44m 56.05 + 3.193.19 = 56.05 + 0.44m according to the graph what condition is best for enzyme activity? If there are 200 people in a cinema and the probability of choosing a person eating popcorn is 0.25, how many people in the cinema are eating popcorn? Are the ratios 5:3 and 6:4 equivalent?