What is the circumference of the given circle in terms of [tex]\pi[/tex]?

a. 14[tex]\pi[/tex] in.
b. 28[tex]\pi[/tex] in.
c. 42[tex]\pi[/tex] in.
d. 196[tex]\pi[/tex] in.

What Is The Circumference Of The Given Circle In Terms Of [tex]\pi[/tex]?a. 14[tex]\pi[/tex] In.b. 28[tex]\pi[/tex]

Answers

Answer 1

Answer:

b. 28[tex]\pi[/tex] in.

Step-by-step explanation:

circumference of a circle = 2 [tex]\pi[/tex] r

whrere r is the radius of rhe circle

= 2 × [tex]\pi[/tex] × 14 in.

= 28 [tex]\pi[/tex] in.

that is option b

Answer 2

We have to find,

The circumference of the given circle in terms of the π.

The formula we use,

→ C = 2πr

Then we can find the circumference,

→ 2 × π × r

→ 2 × π × 14

→ 28π in.

Hence, option (b) is correct answer.


Related Questions

Multiply the polynomial 4x(2x+3) (show work pls)

Answers

Answer:

8^2+12x

Step-by-step explanation:

4x(2x+3)

=4x times 2x+4x times 3

=4 times 2xx+4 times 3x

Answer:

8x^2 +12x

Step-by-step explanation:

Step 1) Multiply each term in the parentheses by 4x

4xx2x+4xx3

Step 2) Calcuate the product

8x^2 +12x

The time between surface finish problems in a galvanizing process is exponentially distributed with a mean of 41 hours. A single plant operates three galvanizing lines that are assumed to operate independently. Round your answers to four decimal places (e.g. 98.7654).
(a) What is the probability that none of the lines experiences a surface finish problem in 41 hours of operation?
(b) What is the probability that all three lines experience a surface finish problem between 24 and 41 hours of operation?

Answers

Answer:

a) The probability that none of the lines experiences a surface finish problem in 41 hours of operation is 0.0498.

b)The probability that all three lines experience a surface finish problem between 24 and 41 hours of operation is 0.0346.

Step-by-step explanation:

[tex]Mean = \frac{1}{\lambda} = 41\\P(X\leq x)= 1-e^{-\lambda x}[/tex]

[tex]P(X>x)= e^{-\lambda x}[/tex]

a)

[tex]P(x> 41, y>41, Z>41) = (P(X>41))^{3}\\\\P(X>41)=e^{^{-\frac{41}{41}}}=e^{-1}[/tex]

[tex]P(x> 41, y>41, Z>41) = \left (e^{-1} \right )^{3}\\\\P(x> 41, y>41, Z>41) = e^{-3} = 0.0498.[/tex]

b)

[tex]\lambda =\frac{24}{41}\\P(X=1)=e^{-\lambda }\cdot \lambda =\left ( e^{-0.585} \right )\left ( 0.585 \right )\\P(X=1)=0.326[/tex]

For 3 where, P(X=1, Y==1, Z=1)

                     [tex]= (0.326)^{3} \\\\= 0.0346[/tex]

From the table below, determine whether the data shows an exponential function. Explain why or why not.
x
3
2
1
–1
y
8
2
0.5
0.125
a. No; the domain values are at regular intervals and the range values have a common factor 0.25. b. No; the domain values are not at regular intervals although the range values have a common factor. c. Yes; the domain values are at regular intervals and the range values have a common factor 4. d. Yes; the domain values are at regular intervals and the range values have a common factor 0.25.

Answers

9514 1404 393

Answer:

  b. No; the domain values are not at regular intervals although the range values have a common factor.

Step-by-step explanation:

The differences between x-values are ...

  -1, -1, -1, -2 . . . . not a constant difference

The ratios of y-values are ...

  2/8 = 0.5/2 = 0.125/0.5 = 0.25 . . . . a constant difference

The fact that the domain values do not have a common difference renders the common factor of the range values irrelevant. The relation is not exponential.

when a number is added to 1/5 of itself, the result is 24. the equation that models this problem is n+1/5n=24. what is the value of n?

Answers

+
1
5
n
=
24


5
n
+
n
5
=
24


6
5
n
=
24


n
=
24
×
5
6


n
=
20

The mean of 19 numbers is 1600. If 2000 is added in the number. Find the new mean​

Answers

Answer:

Here's your answer .

hope it helps you

Because of high tuition costs at state and private universities, enrollments at community colleges have increased dramatically in recent years. The following data show the enrollment (in thousands) for Jefferson Community College for the nine most recent years.


Year Period (t) Enrollment (1,000s)
2001 1 6.5
2002 2 8.1
2003 3 8.4
2004 4 10.2
2005 5 12.5
2006 6 13.3
2007 7 13.7
2008 8 17.2
2009 9 18.1

Required:
a. What type of pattern exists in the data?
b. Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series.
c. What is the forecast for year 10?

Answers

Answer:

a. A linear pattern exists in the data.

b. The parameters for the line that minimizes MSE for this time series are as folows:

ß1 = Estimated slope = 1.4567

ß0 = Estimated intercept = 4.7165

Also, we have:

MSE = Mean squared error = 0.4896

c. Forecast for year 10 is 19,280.

Step-by-step explanation:

a. What type of pattern exists in the data?

Note: See Sheet1 of the attached excel file for the line graph.

From the line graph, it can be observed that a linear pattern exists in the data.

b. Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series.

Note: See Sheet2 of the attached excel file for all the calculations to obtain the following:

Sample size = 9

Total of X = 45

Total of Y = 108

Mean of X = Total of X / Sample size = 45 / 9 = 5

Mean of Y = Total of X / Sample size = 108 / 9 = 12

SSxx = Total of (X - Mean of X)^2 = 60

SSyy = Total of (Y - Mean of Y)^2 = 130.74

SSxy = Total of (X - Mean of X) * (Y - Mean of Y) = 87.40

Therefore, we have:                

ß1 = Estimated slope = SSxy/SSxx = 87.4 / 60  = 1.4567

ß0 = Estimated intercept = Mean of Y – (ß1 * Mean of X) = 12 - (5 * 1.4567) = 4.7165

Therefore, the parameters for the line that minimizes MSE for this time series are as folows:

ß1 = Estimated slope = 1.4567

ß0 = Estimated intercept = 4.7165

Regression equation which also used in the attached excel is as follows:

Y = ß0 + ß1X =

Y = 4.7165 + 1.4567X …………………. (1)

SSE = Sum of squared error = Total of (Y - Y*)^2 = 3.4273

Therefore, we have:

MSE = Mean squared error = (SSE/(n-2)) = (3.4273 / (9 - 2)) = 0.4896

c. What is the forecast for year 10?

This implies that X = 10

Substitute X = 10 into equation (1), we have:

Y = 4.7165 + (1.4567 * 10) = 19.28

Since it is 1,000s, we have:

Y = 19.28 * 1,000 = 19,280

Therefore, forecast for year 10 is 19,280.

x²-7x+5 in the form (x-a)²-b​

Answers

Answer:

( x - 3.5)² - 29/4

Step-by-step explanation:

Given :-

x² - 7x + 5

Writing in ( x - a)² - b form ,

x² - 7x + 5 x² - 7 * 2/2 * x + 5 x² - (7/2) * 2 * x + 5 x² - (7/2)*2*x +(7/2)²-(7/2)²+5( x - 7/2)² + 5 - 49/4( x - 7/2)² + ( 20-49)/4( x - 3.5)² - 29/4

GM projected that 3% of their cars produced this year will be defective. If GM produced 1,698 cars that were defective, how many cars did GM produce this year

Answers

Answer:

56600 cars

Step-by-step explanation:

Below is the calculation of number of cars produced.

The percentage of cars that is defected = 3%

Number of cars that are defective = 1698 cars

The number of cars produced in a year = 1698 / 3%  

The number of cars produced in a year = 56600 cars

Pls help quick:

The following figures are not drawn to scale but
AB and CD (if present in the picture) are straight lines. Find x:

Answers

Step-by-step explanation:

2x+60°= 110°

2x= 110-60

2x= 50

x= 25°

What is 35 degrees Celsius in Fahrenheit equal

Answers

Answer:

95°Fahrenheit

hipe this helps you

Estimate 19.625-6.77 by first rounding each number to the nearest tenth.

Answers

Answer:

13

Step-by-step explanation:

1. Round 19.625 up to 20.

2. Round 6.77 up to 7.

3. Calculate the equation. Ans is 13.

A shopkeeper supplies 42 kg of vegetables to a school canteen in the morning and 58 kg of vegetables in the evening if cost of 1kg vegetable is 16 rupees how much money is due to the canteen per day?​

Answers

1,600 rupees

Add both instances of supplying vegetables in 1 day together.

42 kilograms + 58 kilograms = 100 kilograms

Since each kilogram of vegetables equals 16 rupees, 100 kilograms of vegetables is just this number multiplied by 100.

16 rupees * 100 = 1600 rupees

The endpoints of PC are P(4, 1) and Q(4,8). Find the midpoint of PQ
A. (4, 4.5)
B. (0, -3.5)
C. (4.5, 4)
D. (6, 3.5)

Answers

Answer:

A. (4,4.5)

Step-by-step explanation:

Midpoint={x1+x2/2,y1+y2/2}

M={4+4/2,1+8/2}

M={8/2,9/2}

M={4,4.5}

NO LINKS OR ANSWERING WHAT YOU DON'T KNOW?

4. Suppose y varies inversely with the x, and y = -1 when = 3. What inverse variation equation relates x and y?

a. y = 3/x
b. b. y = -3x
c. y = 3x
d. y = -3/x

5. Suppose y varies inversely with x and y = 68 when x = 1/17. What is the value of x when y = 16?

a. 64
b. 32
c. 1/4
d. 1/16

6. Suppose y varies inversely with x, and y = 5 when x = 15. What is the value of y when x = 25
a. 3
b. 5
c. 25
d. 15

Answers

Answer:

4,a

5.d

6.c

plz mark me as brainliest

Step-by-step explanation:

Answer:

1. A

2. C

3. A

Step-by-step explanation:

all the explanations are In the image above

Given right angle ABC, what the value of tan(A)?
5/13
12/13
12/5
13/12
need answer asap

Answers

Hi there!

[tex]\large\boxed{12/5}}[/tex]

tan (angle) = Opposite side / Adjacent side, so:

Tan (A) = opposite side / adjacent side

= 24 / 10

Simplify:

= 12 / 5

In the diagram, point D is the center of the medium-sized circle that passes through C and E, and it is also the center of the largest circle that passes through A and G. Each of the diameters of the small circles with centers B and F equals the radius of the medium-sized circle with center D. The shaded area is what fraction of the largest circle?Single choice. ​

Answers

9514 1404 393

Answer:

  5/8

Step-by-step explanation:

The area of the smaller circles is proportional to the square of the ratio of their diameters. The two smallest circles have diameters equal to 1/4 the diameter of the largest circle. Hence their areas are (1/4)^2 = 1/16 of that of the largest circle.

Similarly, the medium circle has a diameter half that of the largest circle, so its area is (1/2)^2 = 1/4 of the are of the largest circle.

The smaller circles subtract 2×1/16 +1/4 = 3/8 of the area of the largest circle. Then the shading is 1-3/8 = 5/8 of the area of the largest circle.

simplify 6 x + 3y /3​

Answers

Answer:

6x + y

Step-by-step explanation:

6x + 3y/3​

6x + y

Answer:

6x + y

Step-by-step explanation:

6x + 3y / 3

cancel 3y by 3

6x + y

5. In 2015, Texas led the nation in the percentage of people who lacked health insurance (21.6% of the population). It is known that, nationally, 5% of patients account for 50% of the costs of healthcare. These are the “high cost” patients Assume* that: Being a high cost patient and being uninsured are independent characteristics Insured and uninsured people become “patients” at the same rate The uninsured and high cost patients in Texas are evenly distributed across the state, and that high cost patients are evenly distributed across insured and uninsured patient populations a. What is the probability that a patient in a Texas healthcare facility will be a high cost patient who is uninsured?

Answers

Answer: 0.108

Step-by-step explanation:

Since the probability of the uninsured is 21.6% of the population, then the probability of insured will be:

= 1 - 21.6%

= 78.4%

The probability of high cost patients is 5%. Therefore, the probability that a patient in a Texas healthcare facility will be a high cost patient who is uninsured will be:

= 5% × 21.6%

= 0.05 × 0.216

= 0.108

How can you use transformations to graph this function?

Answers

Answer:

What function?

Step-by-step explanation:

Describe how the graph of y = |x - 2| - 5 is a transformation of the graph of y = |x|. Use terms such as "shifted", "reflected", "stretched", or "compressed".

Answers

Answer:

The original graph was shifted 2 units to the left and 5 units down.

Step-by-step explanation:

y = |x|

From this, we go to: y = |x - 2|.

When we want to shift a function f(x) a units to the left, we find f(x - a). So first, the graph was shifted 2 units to the left.

y = |x - 2|.

From this, we go to: y = |x - 2| - 5.

Shifting a function f(x) down b units is the same as finding f(x) - b, so the second transformation was shifting the graph 5 units down.

You need
1
1
4
feet of string to make 20 holiday ornaments.

To make 14 holiday ornaments, you will need
feet of string.

Answers

Answer:

79.8

Step-by-step explanation:

math

Thane Company is interested in establishing the relationship between electricity costs and machine hours. Data have been collected and a regression analysis prepared using Excel. The monthly data and the regression output follow:


Month Machine Hours Electricity Costs
January 2,300 $ 19,100
February 2,700 $ 22,400
March 1,700 $ 14,200
April 2,900 $ 24,400
May 3,600 $ 28,950
June 3,100 $ 23,400
July 3,900 $ 25,450
August 3,300 $ 23,450
September 1,800 $ 16,900
October 3,500 $ 27,400
November 4,500 $ 32,400
December 4,000 $ 28,450


Summary Output
Regression Statistics
Multiple R 0.957
R Square 0.917
Adjusted R2 0.908
Standard Error 1,586.26
Observations 12.00


Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept 5,970.52 1,766.77 3.38 0.01 2,033.90 9,907.13
Machine Hours 5.76 0.55 10.49 0.00 4.54 6.98

The percent of the total variance that can be explained by the regression is:

Answers

Answer:

0.924

Step-by-step explanation:

R² = 0.854

R = √0.854

R = 0.924

Hence, the correlation Coefficient of electricity tarrif is 0.924 ; this correlation Coefficient value, depicts a strong positive correlation between machine hours and cost of electricity. And can he interpreted to mean that ; Electricity tarrif increases as machine hours increases and also decreases as machine hours decreases.

The answer to this 6th grade summer school math question is

Answer 7.84

Answers

7.84
Steps on how I solved it
2.8x2.8= 7.8

Greatest to least 2,250 2,700 2,450 2,500

Answers

Answer:

sorting;

2,7002,5002,450 2,250

greatest = 2,700

least = 2,250

HAVE A NİCE DAY

Step-by-step explanation:

GREETINGS FROM TURKEY ツ

greatest: 2,700
2,500
2,450
least: 2,250

Which of the following is true?

Answers

Answer:

Step-by-step explanation:

A=45

SCALCET8 3.9.017.MI. Two cars start moving from the same point. One travels south at 48 mi/h and the other travels west at 20 mi/h. At what rate is the distance between the cars increasing two hours later

Answers

Answer:

The rate at which the distance between the cars increasing two hours later=52mi/h

Step-by-step explanation:

Let

Speed of one car, x'=48 mi/h

Speed of other car, y'=20 mi/h

We have to find the rate at which the distance between the cars increasing two hours later.

After 2 hours,

Distance traveled by one car

[tex]x=48\times 2=96 mi[/tex]

Using the formula

[tex]Distance=Time\times speed[/tex]

Distance traveled by other car

[tex]y=20\times 2=40 mi[/tex]

Let z be the distance between two cars after 2 hours later

[tex]z=\sqrt{x^2+y^2}[/tex]

Substitute the values

[tex]z=\sqrt{(96)^2+(40)^2}[/tex]

z=104 mi

Now,

[tex]z^2=x^2+y^2[/tex]

Differentiate w.r.t t

[tex]2z\frac{dz}{dt}=2x\frac{dx}{dt}+2y\frac{dy}{dt}[/tex]

[tex]z\frac{dz}{dt}=x\frac{dx}{dt}+y\frac{dy}{dt}[/tex]

Substitute the values

[tex]104\frac{dz}{dt}=96\times 48+40\times 20[/tex]

[tex]\frac{dz}{dt}=\frac{96\times 48+40\times 20}{104}[/tex]

[tex]\frac{dz}{dt}=52mi/h[/tex]

Hence, the rate at which the distance between the cars increasing two hours later=52mi/h

The of the matrix whose columns are vectors which define the sides of a parallelogram one another is the area of the parallelogram?

Answers

Answer:

absolute value of the determinant, adjacent to, equal to

Step-by-step explanation:

The absolute value of a determinant  of the [tex]\text{matrix whose}[/tex] columns are the vectors and they define the [tex]\text{sides}[/tex] of a [tex]\text{parallelogram}[/tex] which is adjacent to  one another and is equal to the [tex]\text{area}[/tex] of the [tex]\text{parallelogram}[/tex].

The determinant is a real number. They are like matrices, but we use absolute value bars to show determinants whereas to represent a matric, we use square brackets.

a car travels 10 km southeast and 15 km in a direction 60 degrees north of east. find the magnitude and direction

Answers

Answer:

the car travels 10km then 15km 60* north of east

Step-by-step explanation:

Can someone help asap?

Answers

Answers:

sin = -5/13tan = 5/12csc = -13/5sec = -13/12cot = 12/5

=============================================

Explanation:

The angle theta is between pi and 3pi/2, excluding both endpoints.

This places theta in the third quadrant (Q3) between 180 degrees and 270 degrees. The third quadrant is in the southwest.

Plot point A at the origin. 12 units to the left of this point, will be point B. So B is at (-12,0). Then five units lower is point C at (-12,-5). Refer to the diagram below. Notice how triangle ABC is a right triangle.

The angle theta will be the angle BAC, or simply angle A.

Since cos(theta) = -12/13, this indicates that

AB = -12 = adjacent

AC = 13 = hypotenuse

Technically, AB is should be positive, but I'm making it negative so that we can then say

cos(angle) = adjacent/hypotenuse

cos(theta) = AB/AC

cos(theta) = -12/13

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

If you apply the pythagorean theorem, you should find that BC = 5, which I'll  make negative since we're below the x axis. Then we can say

sin(theta) = opposite/hypotenuse

sin(theta) = BC/AC

sin(theta) = -5/13

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

If you divide sine over cosine, then you'll get 5/12. The 13's cancel out. This is the value of tangent.

Or you could say

tan(theta) = opposite/adjacent

tan(theta) = BC/AB

tan(theta) = (-5)/(-12)

tan(theta) = 5/12

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

To find csc, aka cosecant, you apply the reciprocal to sine

sin = -5/13 which means csc = -13/5

sec, or secant, is the reciprocal of cosine

cos = -12/13 leads to sec = -13/12

and finally cotangent (cot) is the reciprocal of tangent

tan = 5/12 leads to cot = 12/5

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

Note: everything but tan and cot is negative in Q3.


What are the roots of the polynomial equation x3 - 6x= 3x2 - 8? Use a graphing calculator and a system of equations

Answers

Answer:

Hence, the roots of the polynomial equation are:

-2, 1, 4

Step-by-step explanation:

We are asked to find the roots of the polynomial equation:

We can also equate this equation to y to obtain a system of equation as:

and

Hence, the roots of the polynomial; equation are the x-values of the point of intersections of the graph of the system of equations.

Hence, the point of intersection of the two graphs are:

(-2,4), (1,-5) and (4,40)

Hence, the roots of the polynomial equation are:

-2, 1, 4

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A 1m3 tank containing air at 25 and 500kPa is connected through a valve to another tank containing 5kg of air at 35 and 200kPa. Now the valve is opened, and the entire system is allowed to reach thermal equilibrium, which is at 20(Take: Ru = 8.314 kJ / kg.K). help please!!! :)2x + 6 = 4x - 2 when files on storage are scattered throughout different disks or different parts of a disk, what is it called How did the Work Progress Administration affect employment for young people? You are hanging a picture on a wall that is 56 1/4 inches long. If the picture frame is 18 2/3 inches long, how much wall space is left? Write your answer as a mixed number. What is the domain of f(x)=(1/4)^ Last year Nancy weighted 37 5/8 pounds. This year she weighed 42.7 pounds. How much did she gain? in a survey group of people 50% like to listen radio and 60% like to watch the television if 30 person of the middle listen to the radio not was the television and find the number of people who like to listen both the radio and television with a Venn diagram Which of the following is NOT a way igneous rocks are classified?Question 2 options:By their texture (example: glassy, rough, porous)By their compositionBy the amount of silicaBy their color Which three important events in the story should be included in its summary?adapted from The Glass Axeby Andrew Lang There was once upon a time a King and Queen who had everything they could possibly wish for in this world except a child.At last, after twelve years, the Queen gave birth to a son; but she did not live long to enjoy her happiness, for on the following day she died. But before her death she called her husband to her and said, "Never let the child put his feet on the ground, for as soon as he does so he will fall into the power of a wicked Fairy, who will do him much harm." And these were the last words the poor Queen spoke. The boy throve and grew big, and when he was too heavy for his nurse to carry, a chair was made for him on little wheels, in which he could wander through the palace gardens without help; at other times he was carried about on a litter, and he was always carefully watched and guarded for fear he should at any time put his feet to the ground. But as this sort of life was bad for his health, the doctors ordered him horse exercise, and he soon became a first-rate rider, and used to go out for long excursions on horseback, accompanied always by his father's stud-groom and a numerous retinue. Every day he rode through the neighboring fields and woods, and always returned home in the evening safe and well. In this way many years passed, and the Prince grew to manhood, and hardly anyone remembered the Queen's warning, though precautions were still taken, more from use and wont than for any other reason. One day the Prince and his suite went out for a ride in a wood where his father sometimes held a hunt. Their way led through a stream whose banks were overgrown with thick brushwood.Just as the horsemen were about to ford the river, a hare, startled by the sound of the horses' hoofs, started up from the grass and ran towards the thicket.The young Prince pursued the little creature, and had almost overtaken it, when the girth of his saddle suddenly broke in two and he fell heavily to the ground.No sooner had his foot touched the earth than he disappeared before the eyes of the horrified courtiers.They sought for him far and near, but all in vain, and they were forced to recognize the power of the evil Fairy. . . . Hardly had the Prince touched the ground than he felt himself violently seized by an unseen power, and hurried away he knew not whither. A whole new world stretched out before him, quite unlike the one he had left. A splendid castle surrounded by a huge lake was the abode of the Fairy, and the only approach to it was over a bridge of clouds.On the other side of the lake high mountains rose up, and dark woods stretched along the banks; over all hung a thick mist, and deep silence reigned everywhere.No sooner had the Fairy reached her own domain than she made herself visible, and turning to the Prince she told him that unless he obeyed all her commands down to the minutest detail he would be severely punished.Then she gave him an axe made of glass, and bade him cross the bridge of clouds and go into the wood beyond and cut down all the trees there before sunset.At the same time she cautioned him with many angry words against speaking to a girl he would most likely meet in the wood. The Prince listened to her words meekly, and when she had finished took up the glass axe and set out for the forest. At every step he seemed to sink into the clouds, but fear gave wings to his feet, and he crossed the lake in safety and set to work at once. can anyone help me here asapp,, I am in this question for nearly an hour Please answer this to the best of your ability Large megathrust earthquakes in the mountainous regions flanking the Mediterranean sea are generally due to ________. If two angles are supplementary and one angle measure is 110 degrees, what is the measure of the other angle? Solve using the substitution method 16x 4y = 16 4x - 4 = y Read Robert the Monks account of Pope Urban IIs speech.This royal city [Jerusalem] . . . desires to be liberated and begs you to come to her aid. . . . God has granted you above all other nations great glory in arms. Accordingly, undertake this journey eagerly for the remission of your sins, with the assurance of the reward of imperishable glory in the kingdom of heaven.Which best summarizes what the pope is saying?Traveling to Jerusalem is the will of God.Warfare in the name of God is a sin.God has given Jerusalem to the Muslims.God will reward those who liberate Jerusalem. Which phrase best describes the character of Harthouse from Hard Times, by Charles Dickens?A.lucky chap B.smooth criminalC.moral figureD. suffering servant Choose the best Spanish equivalent to the phrase.We were playing with her. Examine this piece of art by Jean-Auguste-Dominque Ingres, entitled, Napoleon on his Imperial Throne. All of the following examples display Ingres use of texture, except which?a.The lace of Napoleons collar.b.The red velvet cape with ermine lining.c.The shine glaring off Napoleons face.d.The thickness of the carpet. Does the equation 3x-6y=0 represent a direct variation? *