Mathematics Middle School

A sprinter travels a distance of 100 m in a time of 9.67 seconds. What is the sprinter's average speed rounded to 4 sf?

Answers

Answer 1

Answer:

average speed of sprinter will be 10.42m/s

Step-by-step explanation:

distance covered=s=100m

time taken=t=9.67m/s

average speed=$\frac{distance covered}{time taken}$

average speed=$\frac{100m}{9.67s}$

average speed=10.42m/s

Related Questions

Can someone help me pls

Answers

Step-by-step explanation:

Question 1-2

You need to find a common denominator

for the fraction then use inequalities to see which fraction is bigger then make a number line on the line provided and turn the fractions into decimals and mark them on the number line

Question 3

Explain the steps and the way you did the question

An art teacher is ordering colored pencils for the new school year. The table shows the number of colored pencils per box size. Box Size Number of Colored Pencils Small 12 Medium 64 Large 100 The teacher buys 24 small boxes, 12 medium boxes, and 5 large boxes. She had to return 3 small boxes due to defects. How many colored pencils does the teacher have in all?

Answers

Answer: 1520

Step-by-step explanation:

Multiply 24 times 12

Multiply 12 times 64

Multiply 5 times 100

Add the three sums

Subtract the product of 3 times 12

(288 + 768 + 500 = 1,556. 1,556 - 36 = 1520)

Lucas purchased four tires for $84.50 each. The store charged 7.5% sales tax. What was the total amount Lucas paid for the four tires?

Answers

Answer:

$363.35

Step-by-step explanation:

Answer:

363.35

Step-by-step explanation:

I know this question is not about math or science but my friends are saying the Leonardo DiCaprio when he was young is hotter than Zac Efron now and when he was young. I need y’alls opinions.
Who is hotter, young Leonardo DiCaprio or 35 year old Zac Efron? My pick is Zac Efron but I want some opinions.

Answers

Answer:

it's Zac Efron for sure, Leonardo DiCaprio is just not the same...

young leonardo for sure

Yo can someone help me out (SHOW WORK)

Answers

Answer:

1250

Step-by-step explanation:

125

* 37

875

+ 375

1250

125•37= 4625

so there are 4,625 seats in the theater

please help me i have 3 more after this

Answers

The answer is E I had a test like that

Order the numbers from closest to zero to farthest from zero:
4.38, l4.5l, l-4.6l, -l4.9l

HELPPPPP

Answers

The smallest number is the one closest to zero, or after zero, if it's a negative number, while the largest number is the number with the largest difference from the smallest, or the highest of value (not considering all situations). Usually, you would use the ascending order method for graphing numbers based on their value, which is indeed smallest to largest. According to thefreedictionary.com, "A function or variable continuously approaching zero as a limit." Tip: In ordering numbers based on value, the whole numbers that aren't negative are considerably believed to be the easiest numbers to order.

With that being said, here is the order of the numbers from smallest to largest:

4.38

4.5

4.6

4.9

Answer:

Here are the numbers ordered from closest to zero to farthest from zero:

4.38 (closest to zero)

4.5

-4.6

-4.9 (farthest from zero)

Step-by-step explanation:

PLS HELP> is this a examples of speed velocity and acceleration. a plane flying 300 mi/hr west toward California

Answers

Answer:

Step-by-step explanation:

Speed: 300 mi/hr, Gives how fast you go

Velocity: 300 mi/hr west, includes speed and direction

Acceleration: No, it does not say a starting speed or if it was a constant speed.

Hope this helps :)

for acceleration it doesn’t have a starting speed

A teacher needs to buy yarn for her students to make a craft in
class. If each student needs 1 1/4 feet of yarn, how many feet of yarn
should the teacher buy for the following 5 students?

Answers

Answer:55/4 or 13 3/4

Step-by-step explanation: 11/4 *5

55/4 that the Rt one

please helppp find c

Answers

Answer:

76°

Step-by-step explanation:

Use the Exterior Angle Property. The Exterior Angle Property states that an exterior angle of a triangle is equal to the sum of it's two opposite non adjacent interior angles.

In this case, set the exterior angle equal to the sum of the two given interior angle measurements:

First, simplify, combine like terms. Like terms are terms that share the same amount of the same variable:

c + c - 26 = c + 50

(2c) - 26 = c + 50

Next, isolate the variable, c. Note the equal sign, what you do to one side, you do to the other. Subtract c and add 26 to both sides of the equation:

2c (-c) - 26 (+26) = c (-c) + 50 (+26)

2c - c = 50 + 26

c = 76

76° is your answer.

Learn more about the Exterior Angle Theorem, here:

https://brainly.com/question/956912

Answer:

c = 76 degrees

Step-by-step explanation:

STRUCTURE The inside of each glass is shaped like a cone. Which glass can hold more liquid?

Two glasses, Glass A and Glass B are shown, with their insides having the shape of a cone. The height and the radius of the base of the cone in Glass A are 8 centimeters and 4 centimeters respectively. The height and the radius of the base of the cone in Glass B are 10 centimeters and 3 centimeters respectively.

can hold more liquid.

Question 2

How much more? Round your answer to the nearest tenth.

The glass holds __cubic centimeters more than the other glass.

Skip to navigation

Answers

Answer:

glass A holds more

the glass holds 39.8 cubic centimeters more than the other glass

Step-by-step explanation:

1. π x 4 to the power of 2 x 8/3 = 134.0412866

2. π x 3 to the power of 2 x 10/3 = 94.24777961

3. 134.0412866 - 94.24777961 = 39.79350699

4. 39.79350699 rounded to the nearest tenth is 39.8

Glass A holds more liquid and the glass hold 40 cm³ more liquid than glass B.

What is mensuration?

The study of geometric figure calculation and its parameters, such as area, length, volume, lateral surface area, surface area, and so on, is known as mensuration. It discusses all of the essential equations and properties of various geometric shapes and figures, as well as the fundamentals of calculation.

Given two glass and the inside of each glass is shaped like a cone

for glass A, height = 8 cm and radius = 4 cm

for glass B, height = 10cm and radius = 3 cm

to find the capacity of both glasses we need to find the volume of the both glass

volume of cone = V=1/3hπr², where h = height and r = radius

volume of glass A = 1/3 x 8 x π x 4²

volume of glass A = 133.97 cm³

volume of glass B = 1/3 x 10 x π x 3²

volume of glass B = 94.2 cm³

volume of A - volume of glass B = 133.97 - 94.2 = 39.77 cm³

Hence the volume of glass A is more then Glass B so glass A contain more liquid than glass B and the glass holds 40 cubic centimeters (nearest tenth) more than the other glass.

Learn more about mensuration;

https://brainly.com/question/14312097

#SPJ2

please answer with proof please!!!

Answers

A
Cause it can’t be B cause she’s moving
And if it was D he would be slowing down and C doesn’t match up with the 8hours a day

Answer:

I think its ethier A or C becouse it passes through the 8 hours

Step-by-step explanation:

Referring to the Fig, this sequence of toothpick figures has 6
toothpicks in Term 1, 11 toothpicks in Term 2, and 16 toothpicks in
Term 3. What rule can be used to find the number of toothpicks for
any term of the sequence?
a. term number × term number + 7
b. term number × 5
c. term number × 5 + 1
d. term number + 5

Answers

The answer is C. Term number*5+1

The answer = C, all u really need to do if substitute the numbers into the equation and find which one of the equations fits the statement the question is talking about.

Divide and simplify

Answers

Tbh you could of just used Photomath

its b I am sure about it B. yes I'm sure

Identify the numeric order of these fractions and mixed numbers from largest to smallest in the final form with common denominators 1 1/2, 1/4, 1 3/4, 5/6.

Answers

Answer:

1 3/4, 1 1/2, 5/6, 1/4

with a common denominator, it looks like this

21/12 = 1 3/4, 18/12 = 1 1/2 10/12 = 5/6 3/12 = 1/4

The order of the fraction from largest number to smallest number is 1 3/4, 1 1/2, 5/6, and 1/4.

What are arithmetic Operations?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the data given in the question,

1 1/2 = 3/2 = 1.5

1/4 = 0.25

1 3/4 = 7/4 = 1.75

5/6 = 0.83

So, the order from largest to smallest number is:

1 3/4, 1 1/2, 5/6, and 1/4.

Now, with a common denominator it will be:

21/12 = 1 3/4, 18/12 = 1 1/2 10/12 = 5/6 3/12 = 1/4

To know more about arithmetic operations:

https://brainly.com/question/25277954

#SPJ2

The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.

Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside

Part A: Calculate the measures of center. Show all work. (2 points)

Part B: Calculate the measures of variability. Show all work. (1 point)

Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)

Answers

To calculate the measures of center, we need to find the mean and median for each school.

For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26

To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5

For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21

To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5

Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).

Range: The range is the difference between the largest and smallest values in the dataset.

For Mountain View School:
Range: 9 - 0 = 9

For Seaside School:
Range: 9 - 0 = 9

Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.

For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4

For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5

To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.

Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice

Part A:

For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.

For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.

Part B:

For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.

For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.

Part C:

If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.

Can someone please tell me what the answer is to the sentence I don't care much about the answer to the problems.

Thank you in advance!

Answers

Answer:

y = x + 12

y + x = 52

x = 20

y = 32

Step-by-step explanation:

Make a system of linear equations using x and y to represent the players on the soccer and field hockey team respectively:

y = x + 12 (this shows how many players are on the hockey team)

y + x = 52 (this shows that there are 52 players total from both teams)

Solve for the variables using either elimination or substitution:

y + x = 52

(x + 12) + x = 52

2x + 12 = 52

2x = 40

x = 20

Then plug x into the first equation:

y = x + 12

y = (20) + 12

y = 20 + 12

y = 32

Answer:

y=20x+12

Step-by-step explanation:

An image of a rhombus is shown.

a rhombus with a base of 18 centimeters and a height of 15.5 centimeters

What is the area of the rhombus?

16.75 cm2
33.5 cm2
139.5 cm2
279 cm2

Answers

Answer:279 cm²Step-by-step explanation:

Formula used,

Area of rhombus = Base × height

Substituting the values,

$ \longrightarrow$Area = 18 × 15.5

$ \longrightarrow$ Area = 279 cm²

Therefore, 279 cm² is the area of the rhombus .

Answer:

D) 279 cm²

Step-by-step explanation:

Area of a rhombus formula:
$A=bh$

This formula is also used for squares and rectangles.

So, we can substitute in our values such as:

A=(18)(15.5)

simplify

A=279

Now, add our label and units:

A=279 cm²

Hope this helps! :)

HELP PLS ASAP!! The point (–5, –9) was reflected over an axis to become the point (5, –9). Which axis was it reflected over? Explain.

A. x-axis, because the x-coordinate is the opposite
B. x-axis, because the y-coordinate is the opposite
C. y-axis, because the x-coordinate is the opposite
D. y-axis, because the y-coordinate is the opposite

Answers

Answer:C

Step-by-step explanation: -5, -9 would be on the bottom left. 5, -9 would be on the bottom right of the graph

Answer: c

Step-by-step explanation:

MATH SMARTIES I WILL GIVE BRAINLIEST PLEASE HELP AND PLEASE GIVE AN EXPLANATION!!!!!!!!!!!!!!

Answers

Answer:

30 books on the shelf are Fiction.

Step-by-step explanation:

Hey!

There are 50 books on a shelf.

1/5 of the books are Science Fiction.3/10 are Non-Fiction.The Rest are Fiction.

how many books on the shelf are Fiction?

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

MAKE AN EQUATION!

We know that there are three Categories: Fiction, Science Fiction, and Non Fiction.

Total- 50

⇒ 50 =

1/5 of 50 are SF

⇒ 50 = (1/5)(50)

3/10 of 50 are NF

⇒ 50 = (1/5)(50) + (3/10)(50) + x

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

SOLVE THE EQUATION!

(1/5)(50) + (3/10)(50) + x = 50

To Isolate X-

-Multiply and remove the parentheses..

⇒ 50/10 + 150/10 + x = 50

-Simplify.

⇒ 5 + 15 + x = 50

-Add Like Terms

⇒ 20 + x = 50

-Subtract 20 from both sides.

⇒ 20 + x - 20 = 50 - 20

-Simplify Right Hand Side.

⇒ x = 30

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

So, 30 books on the shelf are Fiction.

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

Hope I Helped, Feel free to ask any questions to clarify :)

Have a great day!

More Love, More Peace, Less Hate.

-Aadi x

write ur solution as an inequality: if 3

Answers

I think the answer to you question would be -3 I’m not sure but I hope this works :)

-3 is the answer for you me question

I need help please I will put in an image. and I only have 18 points sorry

Answers

Answer:

what

Step-by-step explanation:

This is difficult pls mark as brainliest so that I can help you

Jessica deposits her summer babysitting earnings, $600, in a savings account. How many years will it take her to earn $150 in interest at a simple annual rate of 5%? Enter the correct number in the formula.

Answers

I = PRT

I = Interest earned, P = principal/amount invested, R = rate in decimal form, T = time in years

Plug in what we know:
150 = (600)(0.05)(T)
150 = 30T
5 = T

5 years

Answer:

5 years

Step-by-step explanation:

Pls help me in math, I need this tomorrow, thx :)

Answers

Answer: Range and mean = 8 of both

variance of Set X= 4.7

variance of Set Y= 4.6

Step-by-step explanation:

Two sets of data, set X and set Y are given

a.) Range is the difference of the highest value and the lowest value,

Therefore, Range of set X = 12-4=8

Range of set Y = 12-4=8

Now, Mean of a given data set is the average of all the terms present in the given data set

Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8

Mean of set Y= (4+5+7+32+20+12)/10= 8

Therefore, both the data sets has same range and mean.

b.) Standard deviation tells about the variability of the date and is given by,

S.D= σ = √∑ ( X − μ )^2/n

S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7

S.D of set Y= √(16+9+1+0+4+16)/10= √4.6

Variance is the square of S.D, that is, σ^2

Therefore, variance of set X=4.6

variance of set Y= 4.7

c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.

To learn more about S.D and variance,

https://brainly.com/question/15858152

https://brainly.com/question/12402189

Answer: Range and mean = 8 of both

variance of Set X= 4.7

variance of Set Y= 4.6

Step-by-step explanation:

We know

a.) Range is the difference of the highest value and the lowest value,

Therefore, Range of set X = 12-4=8

Range of set Y = 12-4=8

Now, Mean of a given data set is the average of all the terms present in the given data set

Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8

Mean of set Y= (4+5+7+32+20+12)/10= 8

also

b.) Standard deviation tells about the variability of the date and is given by,

S.D= σ = √∑ ( X − μ )^2/n

S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7

S.D of set Y= √(16+9+1+0+4+16)/10= √4.6

Variance is the square of S.D, that is, σ^2

Therefore, variance of set X=4.6

variance of set Y= 4.7

c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.

The average in-state tuition in Florida for the 2018-2019 school year
was about $13,700. If the tuition is expected to increase by 15%, what is
the expected tuition for the 2019-2020 school year?

Answers

Answer:

$15755

Step-by-step explanation:

x=2019-2020 tuition

y=2018-2019 tuition

x= y + (15% of y)

x= 13700+ (15/100 × 13700)

x= 13700+ (2055)

x= 15755

List 3 values that would make this inequality true
42 ≤ y

_, _, _

Answers

y=42, 57, 89
anything greater or equal to 42

Answer: 42, 43, 44

Step-by-step explanation:

≤ means less than or equal to.

42 is either equal to or less than y, so y can be 42, 43 and 44

-3 + 6x. Which expression shows the correct factorization?
Here are the ones to pick from
1. -2 + -2 +6 +x
2. 6(-2 +x)
3. 6(-2 +x)
4. -3 (1 - 2x)

Answers

Answer:

Option #4

Step-by-step explanation:

Expand option #4

=-3(1-2x)

=-3 -2x*-3

=-3+6x which is what your original equation was.

becoz it is a multiple choice, we can go by elimination, hence when we expand #4, we will get -3+6x

Show that the following equations are true. Express your answers in terms of variables.
1. even integer + even integer = even integer
2. off integer + odd integer = even integer

Answers

Answer:

1. even integer + even integer = even integer

2. off integer + odd integer = even integer xxx

Step-by-step explanation:

Write the phrase using numbers.
the product of a number (e) and 5

Number Form:
Expression or Equation:

Answers

Answer:

The Proper codes in Line a and Line b is given below

average=Sum/3

print (" Average is = ", average)

Explanation:

In the given question it calculated the sum but the program does not calculate the average of the 3 numbers.The average of the 3 number is calculated by using average=Sum/3 statement so we add this code in Line a then After that print the value of average by using the print function so we add this code in Line b.

Step-by-step explanation:

The one above me is correct

HELPPPPPPPP!!!!!!!!!!

Answers

I cannot see it very well but i think the answer is B, don't take my word for it though

Answer:

I believe it is C (8,-6)

Step-by-step explanation:

to rotate you need to make the x and y coordinates opposite of what they are

Other Questions

Being aware of how to serve a ball in tennis involves ________ memory; the act of serving the ball involves ________ memory; and the memory of the first time you served a tennis ball involves ________ memory.declarative; procedural; episodicprocedural; episodic; declarativeepisodic; procedural; declarativeprocedural; declarative; episodic For a BJT amplifier where the collector is used as the output, it is usually a good idea to bias the collector at the same voltage as the base in order to get a symmetric output voltage swing.Select one:TrueFalse What is the molecular formula of ammonia calcium carbonate. What group of organisms can be further classified into kingdoms. 50 points for the answers to this question beam are members that carry transverse load and are subjected to bending. true or false? PLZ HURRY. THIS IS DUE!How does the Gross Domestic Product help determine the economic health of a country? (a.)by measuring all goods and services that a country produces (b.) by comparing what a country produces to the number of workers (c.)by determining how well a country is doing economically, based on available resources (d.)by measuring a countrys consumption of all goods and services Based on the Baptists concern, what difference can you infer between state constitutions and the United States Constitution? Given the database schema below, write a relational algebra expression to get the count of records in the DEPENDENT relation group by Essn. Also, show the result of your query.DEPENDENTEssn Dependent_name Sex Bdate Relationship 333445555 Alice F 1986-04-05 Daughter 333445555 Theodore M 1983-10-25 Son 333445555 Joy F 1958-05-03 Spouse 987654321 Abner M 1942-02-28 Spouse 123456789 Michael M 1988-01-04 Son 123456789 Alice F 1988-12-30 Daughter 123456789 Elizabeth F 1967-05-05 Spouse As the united states entered world war i, its most immediate military effect was in. How could scientists use radioisotopes to study the function of the golgi apparatus?. a two-word fragment of the first document has multiple possible entities associated with it. select yes if the statement is true. otherwise, select no. In these excerpts, Shackleton praises the shipbuilders. How does this help emphasize the power of the ice he then describes? In females the x chromosome that is inactivated is called? What does it mean for a gene to be dominant? import java.util.*;public class PangramMissing { public static void main (String[] argv) { String[] testSet1 = {"the", "lazy", "dog", "jumps", "on", "the", "fox"}; char[] missing = pangramCheck (testSet1); System.out.println (Arrays.toString(missing)); String[] testSet2 = {"black", "quartz", "sphinx", "takes", "vow"}; missing = pangramCheck (testSet2); System.out.println (Arrays.toString(missing)); String[] testSet3 = {"two", "driven", "jocks", "help", "fax", "my", "big", "quiz"}; missing = pangramCheck (testSet3); System.out.println (Arrays.toString(missing)); } public static char[] pangramCheck (String[] words) { // INSERT YOUR CODE HERE }}finish pangramCheck() method 160% of 30Ive been stuck on this question for hours I REALLY need help What property justifies the statement below?1/2(4x+10)-16 = 2x+5-16A. Associative PropertyB. Identity PropertyC. Inverse PropertyD. Distributive Property Oriole Company is considering purchasing equipment. The equipment will produce the following cash inflows: Year 1, $32,500. Year 2.$36,500; and Year 3. $47.000. Oriole requires a minimum rate of return of A lawnmower operates in a perfectly competitive industry and its total costs are given by: TC(q) = 3q + 18q, where q denotes the number of lawns mowed. (a) (2) What is the firm's marginal cost? (b) (3) What is the firm's average costs? Does the firm have increasing, constant, or decreasing returns to scale? (c) (2) Graph the marginal and average cost curves on the same set of axes. (d) (3) What is the price beneath which this lawnmower would choose to shut down? (e) (4) If the market price of a mowed lawn is $102 (!), how many lawns will this firm mow? What is the firm's average cost at that level of output? How does it compare to the market price? (f) (6) Find an expression that denotes this firm's profits as a function of the market price ((P)). Your answer should depend on p and otherwise contain only numerical constants. Hint: your answer should be a piecewise function (see part (d)) and you will need to solve for supply as a general function of the market price.