## Math

### Questions

# Description Question
14089

Assume a consumers preferences are monotonic and strictly convex. Prove that his market behavior satisfies WARP (The Weak Axiom of Revealed Preference).

Set Theory
14088

Assume a consumers preferences are monotonic and strictly convex. Prove that his market behavior satisfies WARP (The Weak Axiom of Revealed Preference).

Set Theory
14087 Assume a consumers preferences are monotonic and strictly convex. Prove that his market behavior satisfies WARP (The Weak Axiom of Revealed Preference). Set Theory
14079 In simplest form Practice
14071 Josiah and Tillery have new jobs. Josiah is payed \$14 per hour while Tillery is payed \$7 per hour. After each year, their hourly pay is raised by \$2. Is their a constant of proportionality between the twos pay rate? Constant of Proportionality
14026 Anything that has to do with the teas 6 teas 6
13985

ATI teas 6

Ati Teas 6
13970 Teas 6 Teas 6
13968 a gumball machine contains red,green and blue gumballs.twenty percent of the gumballs are red,30% orange,5%green and the rest are blue. if there are a total of 120 gumballs,how many more blue gumballs are there than yellow? teas 6 math
13967

math teas 6

teas 6 math
13966

I have a mid-term 204MT basic LA math qizz due this fri 23Jun17, can you log on and complete this for me? I also have 3 more math homework and a final quizz, how much will it coast to have these done for me?

v/r

V

can you do my math homework for me
13965 I need 3 math homeworks done and a mid term and finals quiz done, the mid term needs to be accomplished by fri23rd Jun.Can you log online with my id to complete this course? mt204 liberal arts math
13929 What is 1+1? how to ad
13880 teas 6 math test Teas 6 Math Questions
13874 i need to work on it today saxon 5
13864 hw help introduction to simultaneous linear equations
13863 strugging on hw introduction to simultaneous linear equations
13807

Liberal arts homework

Homework
13801 Liberal arts homework help
13787

SEE ATTACHMENT FOR QUESTION. PLEASE DO THE WRITEUP AND ALSO ATTACH THE EXCEL USED. PLEASE INCLUDE REFERENCE

Business Statistic case study for Profstan only
13766
 Question 1

5,344 − 57

Simplify the expression above. Which of the following is correct?

 A 5,277 B 5,283 C 5,287 D 5,288 Question 2

3(x − 4) = 18

Solve the equation above. Which of the following is correct?

 A x = 3/2 B x = 22/3 C x = 6 D x = 10

 Question 3

The above is known as what type of graph?

 A Line Graph B Scatterplot C Bar Graph D Histogram Question 4

(5x − 1) (3x + 2)

Simplify the expression above. Which of the following is correct?

 A 15x2 − 7x + 3 B 15x2 + 7x − 2 C 15x2 + 7x − 3 D 15x2 − 7x − 2

 Question 5

Timmy can usually make six paper airplanes in an hour. However, if he gets interrupted by his parents, he can only make four per hour. His friend John can make seven paper airplanes per hour. One day, Timmy and John decide to have a three-hour long contest to see who can make the most paper airplanes. During the contest, Timmy is interrupted once every hour. John also had to take a break and do chores for an hour. How many more paper airplanes does the winner make?

 A 1 B 2 C 3 D 4 Question 6

If a car travels 360 kilometers in 5 hours, how far will it travel in 9 hours?

 A 72 B 268 C 426 D 648

 Question 7

What degrees Fahrenheit is it at 30 degrees Celsius?

Note: °F = (°C * 9/5) + 32

 A 86 B 89 C 92 D 95 Question 8

0.27 x 0.56

Simplify the expression above. Which of the following is correct?

 A 0.001512 B 0.01512 C 0.1512 D 1.512

 Question 9

At a comic book store, Robert purchased three comics for \$2.65 each. If he paid with a \$20 bill, how much change did he receive?

 A \$10.95 B \$12.05 C \$13.15 D \$13.85 Question 10

Simplify the expression above. Which of the following is correct?

 A 14/54 B 22/67 C 29/72 D 18/126

 Question 11

Express 5/8 as its closest rounded percentage.

 A 56% B 60% C 63% D 66% Question 12

Amanda wants to paint the walls of a room. She knows that each can of paint contains one gallon. A half gallon will cover a 55 square feet of wall. Each of the four walls is 10 feet high. Two of the walls are 10 feet wide and two of the walls are 15 feet wide. How many 1-gallon buckets of paint does Amanda need to buy in order to fully paint the room?

 A 4 B 5 C 9 D 10

 Question 13

How many millimeters are there in 5 meters?

 A 500 B 5,000 C 50,000 D 500,000 Question 14

0.67 x 0.09?

Simplify the expression above. Which of the following is correct?

 A 0.000603 B 0.00603 C 0.0603 D 0.603

 Question 15

2 − 8 ÷ (24 ÷ 2) =

Simplify the expression above. Which of the following is correct?

 A −6 B −¾ C 1 D 2 Question 16

Which type of graph would best indicate the percentage of a school’s annual scholarship fund spent on freshman students?

 A pie chart B line graph C scatter plot D histogram

 Question 17

−1/4, π, 3/8, −0.2

Order the above list of numbers from least to greatest. Which of the following is correct?

 A −0.2, −1/4, 3/8, π B −1/4, −0.2, 3/8, π C −0.2, −1/4, π, 3/8 D −1/4, −0.2, π, 3/8 Question 18

A certain number is 12 more than half a given number. Translate this phrase into a mathematical expression equivalent to the given number if “c” represents the certain number.

 A (12c)/2 B 24/c C (c/2) + 12 D 2(c − 12)

 Question 19

| 2x − 5 | = 19

Which of the following is the solution set for the equation above?

 A {−7, −12} B {7, 12} C {−7, 12} D {7, −12} Question 20

If Maria left a \$10.16 tip on a breakfast that cost \$86.89, approximately what percentage was the tip?

 A 12% B 17% C 25% D 31%

 Question 21

A nurse working at a medical clinic earns \$17.81 per hour. The nurse works three 8-hour shifts and one 12-hour shift every week, and is paid weekly. Weekly deductions are: federal tax \$102.80, state tax \$24.58, federal insurance \$18.13, and family health insurance \$52.15. What is the nurse's take-home pay each week?

 A \$158.54 B \$443.50 C \$514.74 D \$641.16 Question 22

How many imperial gallons are there in 1,400 liters?

Note: 1 kiloliter = 220 imperial gallons

 A 308 B 3,080 C 30,800 D 308,000

 Question 23

Derek purchased concert tickets in the month of June for \$73, \$66, \$96, \$17, and \$66 dollars. Which of the following is an accurate estimate of the total amount he spent on concert tickets in June?

 A \$300 B \$330 C \$360 D \$400 Question 24

5y − 8 > 32

Solve the inequality above. Which of the following is correct?

 A y > 8 B y < 8 C y > 6 D y < 6

 Question 25

There are 48 students studying foreign language at the community college. If the only two foreign languages offered are French and Spanish, and 28 students are studying French, which of the following represents the ratio of students studying Spanish to the total number of foreign language students?

 A 2/7 B 1/2 C 1/3 D 5/12 Question 26

What is 181.5% of 18?

 A 3.267 B 14.67 C 32.67 D 3267

 Question 27

Which of the following is equivalent to 0.0009?

 A 0.0009% B 0.009% C 0.09% D 0.9% Question 28

A father is planning a birthday party for his son. He is expecting a total attendance of 7 adults and 13 children. Food costs will be \$11.00 for each adult and \$5.00 for each child. He will also need to spend \$2.00 per child for party favors. Which of the following is the total cost of the birthday party?

 A \$142.00 B \$168.00 C \$182.00 D \$192.00

 Question 29

7 x 4 + (9 − 6) + 13

Simplify the expression above. Which of the following is correct?

 A 34 B 37 C 41 D 44 Question 30

Write the number 1906 in Roman numerals.

 A MCMLXVIII B MCMXVI C MCMVI D XIXVI

TEAS math test practice questions
13743

Math125 Spring 2016, Written HW 4 - Final Exam Practice. Due Friday last day of class in Lecture. Counts 20 points toward HW Score. This Page must be stapled to front.

Math 125               Final Exam Practice

Include your Name and math125 classid.

No late homeworks will be accepted.

1. List the Intercepts of the Inequality and then sketch the graph using the Math 125 method of shading

18x   10 y    90

1. USING ALGEBRA(meaning no calculators), find the solution to the System of Equations.

4x   5 y   16

6x    y    7

1. Solve the Linear Programming Problem.

Graph the Inequalities and determine the Feasible Set.  SHOW WORK.

Clearly mark your Axes and label graphed points with coordinates for full credit.

Maximize : 1500   8x   3 y  subject  to

5x    y   360 x   3 y   180 x    y   80

x   0 , y    0

1. DigginDeep Mining company has to fill an order for 40 tons of iron ore and 18 tons of cooper ore. They operate two mines producing both ores. Mine I yields four tons of iron and one ton of copper and costs \$3200 per day to operate, while mine II yields two tons of iron and two tons of copper and costs

\$2600 per day to operate.  Determine how many days each mine should be used to fill this order at the least total cost.

SET UP(do NOT solve) a Linear Programming Problem for this situation.

1. Solve each System of Equations using the “RREF” function on your calculator. Show your augmented

matrix and the resulting one from RREF, plus your solution.

x   2 y   3z      14

1. a) x y   8z   10

x   y   18z    3

x1   x2   x3   15

1. b) 2x1 3x2   2x3    27

2x1   3x2   3x3      30

4x   y   z      14

1. c) 2x y   z    6

5x    y   2z   18

1. Write each Elementary Row Operation in notational values and then perform it on the matrix, using the original Matrix each time.

3     2

 12 7 2 0 4 5 1 3

3

2     6     5

6

1       2

3     7     5

1. a) Multiply Row 4 by positive three
2. b) Add minus 2 times row four to row one c) Add 5 times row one to row three

1. Graph, BY HAND, the Feasible Set of the system below.

x   2 y   36

x    y    20

x   0,

y    4

1. Given the following matrices, answer the questions below. You may use a calculator.

3     8     1                                                  7

2

2      3

2     5

6

4   8

1

A

B      9

2     6

C

D

8      1

E

4

5                                              1      4      9                                       5    3     7

5    7     3

5     6

1. a) Find: 2C – 3E
2. b) Find the product
3. c) Is BDECA possible? Show why or why not

 2 3 4 1 0 5 2 7 8 2 4 6 1 4 6 4

1. Pivot on the element in Row 3 and Column 2, BY HAND:

13

18                        10     7

1. If

A

and   B                        , and   2A – C = B, find the matrix C.

6     17                        16

23

You may use a calculator, but show any commands used.

1. A certain economy has three industries: metals, plastic, and wood. To produce \$1 of output, the metals industry needs \$0.08 of its own output, \$0.03 from plastics, and \$0.07 from wood. To produce \$1 of output, the plastic industry needs \$0.11 of its own output and \$0.02 from wood.  To produce \$1 of output, the wood industry needs \$0.10 of its own output, \$.05 from metals, and \$0.04 from plastic.

If the population needs(in Millions) \$32 of metal, \$25 of plastic, and \$40 of wood, how much of each must be produced to satisfy this demand?

1. a) Name and show ALL relevant matrices
2. b) Use X   I    A  1 D (calculator allowed) to determine production levels, rounded to the nearest tenth of a Mi

1. The Matrices below are Inverses of one another. Show ALL WORK in solving the system that follows,

USING the

X     A  1 B method.

2     2     1                  2     1      3

2x    y   3z    4

1   1

1

and

1     0

1

x   z      2

2    1    1

3       2     4

3x   2 y   4z   8

1. A plane carries two types of packages. Type A weighs 140 pounds and takes up 3 cubic feet of space and generates \$175 in revenue, while a Type B package weighs 185 pounds and takes up 5 cubic feet, generating revenues of \$240 per package. The plane is limited to 6000 total pounds in 300 total cubic feet of space.  Construct a full Linear Programming problem with an Objective function and ALL necessary constraints. DO NOT SOLVE.

1. The Tablette Corporation makes tablet computers at plants in Thailand and Malaysia. At the Thailand plant, unit costs are \$79 and fixed costs are \$9000, while in Malaysia unit costs are \$71 and fixed costs are \$9400.

1. a) If Tablette needs 600 tablets made, which plant does so at a lesser cost? JUSTIFY YOUR ANSWER b) If 1000 tablets need to be made, but total costs at each plant must be equal, how many should be made at each of the plants?

1. A home appliance manufacturer has been selling a kitchen stove model several markets and wishes to enter new markets. Atlanta has 6.1 million people and they sold 13,286 stoves, Tampa has 2.8 million with 5,123 sold, Miami has 6.4 million with 17,522 sold, Charlotte(NC) has 2.5 million with 4,848 sold, and Greenville(SC) has 1.4 million with 3,613 sold.

1. a) Using Population figures in Millions and sales as they are given, use LinReg in constructing the Least

Squares Line of Best Fit for this data set.  Round-off values to the nearest thousandth.

1. b) Use your line to predict the sales generated by entering a market like Orlando with 2.9 million peopl c) What sized market does your model suggest is necessary to sell 20,000 units?

1. Use the graphing methods of Chapter 3 to solve the Linear Programming problem below.

SHOW ALL WORK FOR FULL CREDIT.  Your calculator’s graph IS NOT acceptable.

Minimize : 900   5x   7 y  subject to

2x   4 y    64

6x   2 y    72

x   4 y    44

x   0,

y    0

1. A new wildlife refuge is being populated with animals, specifically lions and tigers and bears(Oh My!). The park manager knows he can fit exactly 150 animals total. His experience tells him to have at least twice as many lions as tigers.  Area limitations suggest he acquire no more bears than tigers. To make sure the public is likely to see each species during their visit, he wants at least 25 of each.  Lions

cost \$40/day to care for, tigers cost \$30, and bears cost \$35.  Help the manager build a population meeting his needs at the lowest daily cost.

Set up the Linear Programming Problem using only TWO variables. DO NOT SOLVE.

1. Furniture Factory produces tables, chairs, and desks. Each table needs 3 hours of carpentry, 1 hour of sanding, and 2 hours of staining, with a profit of \$12.50. A chair needs 2 hours of carpentry, 4 hours of sanding, and 1 hour of staining, with a profit of \$20. Desks need 1 hour of carpentry, 2 hours of sanding, and 3 hours of staining, with a profit of \$16.  There are 660 hours of carpentry, 740 hours of sanding, and

853 hours of staining available each week.  The manager would like to make as much money as he can.

1. a) Construct the Linear Programming problem, including an Objective Function and ALL constraints b) Build a fully labeled Initial Simplex Tablea Indicate where and why you will pivot.
2. c) Pivot until you reach an Optimal Solution, and show the final Tableau. You may skip showing any intermediate Tableaux
3. d) State your solution in terms of the word problem above

1. Simplex Method and Duality.
2. a) Put the problem into “standard” Minimum form
3. b) Convert the problem into Dual Form
4. c) Build the Initial Simplex Tableau, indicate where/why you will Pivo Perform ONE Pivot only. d) Answer each question: (i) is the current solution Feasible? (ii) is the current solution Optimal?

Minimize : 14x   9 y  subject  to x    y   120

4x    y    260

2x   5 y    600

x   0 , y    0

1. A Linear Programming problem and its Optimal Tableau are given below:

20pts

 x     y    z       u       v    w    M 0    1    0     5 / 2   1    1     0 0     1   1       1       0     1    0 1    3    0      1 / 2   0    1     0 2 4 13 0    2    0    1 / 2     0    1     1 47

Maximize : z    3x   5 y   2z   s.t.

2x   4 y   2z    34

3x   6 y   4z   57

2x   5 y   z    30

x   0 , y    0 , z    0

1. a) If the RHS of Constraint #1 were to be changed to 30, determine the New Optimal M-value and

the value of each decision variable.  USE sensitivity analysis, NOT by redoing Simplex Method

1. b) If the RHS of Constraint #3 were to be changed to 32, determine the New Optimal M-value and

the value of each decision variable.  USE sensitivity analysis, NOT by redoing Simplex Method

1. c) If the RHS of Constraint #1 were changed to 34 h , find the range of h so that we are still feasibl

1. Business Math students are used in an experiment, where they are sent into a T-shaped maze once each day. If they turn left to exit the maze, they are given a slice of apple pie, while if they turn right to exit the maze, they are given a zap of electricity. It has been observed that the day after they turn left(apple pie!), they will turn left again the next day 55% of the time, and that the day after they turn right, they will turn right again the next day 75% of the time.

1. a) Build and label a transition matrix and initial distribution matrix
2. b) If on the first day, half of the students go each way, what percent will go right the next day?
3. c) USE ALGEBRA to determine the probability of students going each way in the long run. You may check with use of your calculators, but no credit will be given without an algebraic soluti

22.

3 x   2 y   2z   2w      2

2x   2 y   4z   2w    3

x          2z    w    2

x   2 y   6z

2

For the system of linear equations given above, find the value of X in a solution where Y = -2.5

1. A small economy has three industries: coal, steel, and electricity. To produce \$1 of coal, it takes

\$0.04 of coal, \$0.20 of steel, and \$.08 of electricity, while to produce \$1 of steel, it takes \$0.15 of coal and \$0.10 of electricity.  To produce \$1 of electricity, it takes \$0.02 of their own output, plus \$0.30 of coal and \$0.10 of steel.  If the economy needs \$54 million of coal, \$26 of steel, and \$85 of electricity, how much must be produced in the electricity industry, in millions to the nearest tenth?

(Hint: the useful formulas are

X    AX    D

(I    A)  1 D    X   )

I    S (I   R) 1

1. The initial absorbing matrix below has been converted to Standard form. Use

0          0

to determine what percentage of the population starting in Y will eventually end up in Z.

W   X   Y    Z

W   .2    0   .15    0

X   .3    1    .45    0

Y   .4    0   .05    0

Z   .1    0   .35    1

X   Z   W    Y

X   1    0    .3   .45

Z   0    1    .1   .35

W   0    0   .2   .15

Y   0    0   .4   .05

3      2               6

2

1. Given

A     5     4   , C    11     6

and     AB    C , find the total: b2,1   b2,2

1. Build a properly labeled Transition Matrix for the Transition Diagram below:

60%

40%

E              20%         K

80%              25%

30%

P                              Z

100%                       45%

Minimize : 600   5x   7 y  subject  to :

1. 2x 3 y    0

x   4 y  132

x   12

Solve by GRAPHING

1. Find the strictly determined solution of the game matrix below. Show your reasoning.

C

2     0     1

0

3    4

3     2   0

1. Player R has \$1, \$10, and \$50 bills, while player C has \$5 and \$20 bills. Each randomly chooses a bill and shows it for each play of the game. The one with the larger bill collects the difference between their bill and that of the other player.

Write the payoff matrix for this game, showing any necessary labels on the matrix.  Decide whether this game is Strictly Determined or not. If it is strictly determined, what is the Value of the game?

1. Below is a payoff matrix for a certain game. Do the requested tasks which follow.

C

15     40      25

25

10

5

45     20

15

1. a) Show that the matrix does NOT have a strictly determined soluti

1. b) Find the expected payout if

R    .2   .4   .4

.5

and    C     0

.5

1. Adjust the Game Matrix below with the smallest possible Integer so that all values are positive.

Construct either Linear Programming Problem which can be used to find the optimal play for each of R and C.  Solve the LP problem.  Find the fraction of the time each player should make their choices, and find the value of the game(in regards to the original matrix form)

C

0      3

R    1    2

1. Adjust the Game Matrix below with the smallest possible Integer so that all values are positive.

Construct either Linear Programming Problem which can be used to find the optimal play for each of R and C.  Solve the LP problem.  Find the fraction of the time each player should make their choices, and find the value of the game(in regards to the original matrix form)

C

2     3     0

1

1   2

0      4     1

Algebra 125
7632 Elementary Linear Algebra
7631 Elementary Linear Algebra For Business
7629 Elementary Linear Algebra For Business
7628 Elementary Linear Algebra For Business
7427

a survey of 100 students at new england college showed the
following:7 take english,history and language,17 take
english and history,15 take english and language,18 take
history and language,48 take english, 49 take history,38
take language.draw a venn diagram and answer the questions
how many students
a)take history but neither of the other two?
b)take english and history but not language?
c)take none of the three?
d)take exactly two of the three?
e) do not take a language?

survey questions
7425 test five
1

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