Math - Others Questions

A rectangular garden has an area of 310 m and its length is 25 m longer than the width What are the width and length of the garden and how much fencing would be required to enclose the garden Width mE Round to two decimal places Length m

10 Betermining consumers and producers surplus Identify whether each statement in the following table best illustrates the concept of consumers surplus producers surplus or neither Consumers Producers Surplus Surplus Statement Even though I was willing to pay up to 291 for a cell phone I bought a one for only 283 Even though I was willing to pay up to 376 for a used football jersey and even though the seller was willing to go as low as 369 in order to sell it we couldn t reach a deal because the government imposed a price ceiling of 361 on the sale of jerseys I sold a used smart watch for 370 even though I was willing to go as low as 362 in order to sell it O O Neither O

Given the expression 9 3x 4 4y x y 1

Simplify the expression and answer the following What is the resulting coefficient of b b What is the resulting coefficient of a b 6a a b 116 5a b 4a 36 10a

ab 2a 3b a 8b 6ab 3b 4a ab O a 6ab 2b D a 6ab 26 O a 6ab2b O a 6ab 26

Solve the quadratic equations by completing the square Leave answers in exact form with radicals as needed Enter the answers in ascending order smaller value first Convert the square root to exponential form Example should be a x 8x 3 0 MART m and x

fully 77x y 88x y O x y 77y 88x O 11x y 7x 8y o 11x y 7y 8x o 11 7x y 8x y

A tennis court is being expanded to accommodate sitting stands The original space that measures metres on all sides will be enlarged by 7 m on each side Choose the expression for the new total area in m increase

you add the following polynomials what is the correct simplified form 2x 5xy 2 x Tru 6

Factor fully 4x 12 o x 4 x 3 o x 9 x 5 x 6 x 2 1 x 6 x 2

Alice and Luisa run on circular track every morning The time difference between when they finish one lap is t 2 r V1 2 r V2 where v and v are their speeds Factored the right side of this equation gives

Solve for x x 3x 28x 0 KE

Given the fraction x 5x6 x 6x which of the following represents the fraction reduced to its lowest terms

DACK L USE YOUR MATH SKILLS TO FIND THE VALUE OF EACH ICON AND THE 36 X 4 28

The following graph shows the market for peanut butter in Detroit where there are over a thousand stores that sell peanut butter at any given moment Suppose the price of hazelnut spread decreases Assume that people regard peanut butter and hazelnut spread as substitutes Show the effect of this change on the market for peanut butter by shifting one or both of the curves on the following graph holding all else constara PRICE Dollars per jar Supply Demand Demand Supply

2 Individual and market demand Suppose that Alex and Becky are the only consumers of ice cream cones in a particular market The following table shows their monthly demand schedules PRICE Dollars per cone Price Dollars per cone 4 SEN 3 4 Alex s Quantity Demanded Cones 8 53 HO 0 Becky s Quantity Demanded Cones 14 10 6 3 On the following graph plot Alex s demand for ice cream cones using the green points triangle symbol Next plot Becky s demand for ice cream cones using the purple points diamond symbol Finally plot the market demand for ice cream cones using the blue points circle symbol 1 Alex s Demand Becky s Demand Market Demand

Precalculus Review Course Packet on the domain of a function Functions Course Packet on functions domain and range Determine the domain of each of the following functions Enter your answer using interval notation a Domain of 9x 4 x 2 b Domain of 1 9x 4 x 2 d Domain of c Domain of 4 9x x 2 1 4 9x x 2

rse Packet on the domain of a function Functions Course Packet on functions domain and range Determine the domain of each of the following functions Enter your answer using interval notation a Domain of x 8x 15 b Domain of c Domain of d Domain of 19 x x 8x 15 19 X x 8x 15 19 X 2 8x 15

4 Individual and market supply Suppose that Shen and Valerie are the only suppliers of pizza slices in a particular market The following table shows their annual supply schedules Price Dollars per slice 1 2 PRICE Dollars per slice 5 Shen s Quantity Supplied Valerie s Quantity Supplied Slices Slices 20 35 45 50 55 20 30 35 40 On the following graph plot Shen s supply of pizza slices using the green points triangle symbol Next plot Valerie s supply of pizza slices using the purple points diamond symbol Finally plot the market supply of pizza slices using the orange points square symbol Shen s Supply Valene s Supply Macket Supply

IPE IPB I 5 IPBv The shear force and bending moment diagrams are presented for the given beam Use the following profil secitons design the beam and then discuss the results 21 2m FOURNER 2 8 2 3 m 5 tkN 2 2 4 4 2 m T t M t m

Your company has a profit that is represented by the equation P 1 5x 24 where P is the profit in millions and x is the number of years starting in 2018 a Graph the relation b Is this relation linear quadratic or neither Explain your answer in two different ways c What is the direction of opening and does profit have a maximum or minimum How do you know d What is the P intercept of this relation What does it represent Do you think it would make sense that this is a new company given the P intercept Explain Task 2 Solving for break even point s A break even point for a company is when they are neither making nor losing money This is when the profit is P 0 a How many break even point s will there be What do you use to determine this b Determine in which year s the company will break even using any algebraic method you wish c Determine in which year s the company will break even using a different algebraic method than you chose in b d Which method the one you used for b or the one you used for c did you prefer Explain why Task 3 Determining different profits a In the year 2024 how much profit will the company be making Solve this algebraically

3 The following truss system is planned to be designed The material of the structure is assumed to be st 52 L 2m 5t 10 t 2m 20 t 11 2 m 10 t 11 5t a Design the marked elements with section of double angle 5 Draw the selected section 2m 4 1m 1 m

Solve the system using either Gaussian elimination with back substitution or Gauss Jordan elimination If there is no solution enter NO SOLUTION If the system has an infinite number of solutions express x and y in terms of the parameter t 3x 12y 15 3x 12y 15 x y 1 s t X

Solve the system using either Gaussian elimination with back substitution or Gauss Jordan elimination If there is no solution enter NO SOLUTION If there are an infinite number of solutions set x3 t and solve for x and X X1 3x3 1 3X X 2x3 7 2x1 2x2 x3 4 X1 X2 X3 13 4 3 2 4 12 X

If you open a savings account that earns 5 5 simple interest per year what is the minimum number of years you must wait to double your balance Suppose you open another account that earns 5 interest compounded yearly How many years will it take now to double your balance The minimum number of years you must wait to double your balance is the nearest whole number for the simple interest of 5 5 Round up to

Solve the system using either Gaussian elimination with back substitution or Gauss Jordan elimination If there is solution enter NO SOLUTION If there are an infinite number of solutions set x3 t and solve for X and X X1 3x1 x 2x3 2x 2x X3 3x3 1 7 4 X1 X2 X3

State why the system of equations must have at least one solution Select all that apply 3x 3y z 0 6x 3y 3z 0 3x 9y 11z 0 During the elimination process we obtain the equation 0 0 The point x y z 1 1 1 solves the system O The system contains three equations and three variables The point x y z 0 0 0 solves the system O During the elimination process we obtain a false statement Solve the system and determine whether it has exactly one solution or infinitely many solutions If the system has a infinite number of solutions express x y and z in terms of the parameter t X Y Z 0 0 0

Identify the elementary row operation s being performed to obtain the new row equivalent matrix Select all that app New Row Equivalent Matrix 1 2 1 2 Original Matrix 1 2 1 2 2 4 1 5 5 5 4 7 Multiply Row 2 by two Add 5 times Row 1 to Row 2 Add 2 times Row to Row 2 Add 5 times Row 1 to Row 3 Multiply Row 2 by five 0 83 9 0 51 3

nd the reduced row echelon matrix that is row equivalent to the given matrix 15 45 1 5

Solve the system using either Gaussian elimination with back substitution or Gauss Jordan elimination If there is no solution enter NO SOLUTION If the system has an infinite number of solutions express x and y in terms of the parameter t x y 3x 12y 15 3x 12y 15

Identify the elementary row operation s being performed to obtain the new row equivalent matrix Select all that app New Row Equivalent Matrix 1 2 1 2 0 8 3 9 0 5 1 3 Original Matrix 1 2 1 2 2 4 1 5 5 5 4 7 O Multiply Row 2 by two Add 5 times Row 1 to Row 2 Add 2 times Row 1 to Row 2 Add 5 times Row 1 to Row 3 Multiply Row 2 by five W

Complete the following for the system of equations 4x Sy 7 0 8x 1 6y 1 4 a Use a graphing utility to graph the equations in the system y 10t

State why the system of equations must have at least one solution Select all that apply 3x 3y Z 0 6x 3y 3z 0 3x 9y 11z 0 During the elimination process we obtain the equation 0 0 O The point x y z 1 1 1 solves the system The system contains three equations and three variables The point x y z 0 0 0 solves the system During the elimination process we obtain a false statement Solve the system and determine whether it has exactly one solution or infinitely many solutions If the system has an infinite number of solutions xpress x y and z in terms of the parameter t x y z

Find a system of two equations in three variables X X2 and x3 that has the solution set given by the parametric representatio X t X s and x3 7 s t where s and t are any real numbers Enter your answer as a comma separated list of equations Show that the solutions to the system can also be written as X 7 s t x s and x3 t X1 t X2 S x3 x3 x3 x2 Let x S X3 t then x X1 s t X2X1

Solve the system of linear equations Enter your answers as a comma separated list If there is no solution enter NO SOLUTION IF the system has an infinite number of solutions set x3 t and solve for X and x in terms of t 3x1 2x2 4x3 5 x1 x 2x3 6 2x13x2 6x3 9 X1 X2 X3

Use back substitution to solve the system Enter your answers as a comma separated list If there is no solution enter NO SOLUTION If the system has an infinite number of solutions set z t and solve for x and y in terms of t X x y z y 3y Z 0 Z 2 0

Activity Node A 1 B 1 C 2 D 3 Start Finish Node 2 3 4 4 Multiple Choice O What is the estimated expected mean time for activity D O 32 days 42 days 40 days Optimistic 41 54 58 32 41 days Duration days Most Likely 50 60 70 41 Pessimistic 59 66 82 44

X 24 61 Press here for long description a Solve using sine law only b Solve using cosine law and quadratic formula only Task 2 Developing a real world sinusoidal equation A C 12 a Describe a situation in the real world that can be modelled by a sinusoidal function b Create a reasonable table of values for at least two cycles and then graph Make sure you define your variables c Find the equation for your graph and explain what each parameter a p c and d of y asin 360 x d c means for your specific situation d Write two questions that could be answered using the equation Answer the questions

Which of the following is not a major approach used to deal with breakdowns Multiple Choice O O O O spare parts cost of repairs repair technicians operators backup equipment

Some 4 5 7 questions supply a data set like the one below which must be used in order to answer the question 8 9 D 2 7 5 8 You can copy the data set into another program such as a spreadsheet or a statistical software program to perform calculations with the numbers in the given c Click the icon to view instructions for copying a data set into another program The result 9 8 of 9 points H dding Points 0 of 1 Add the numbers in the data set either by hand or by using the Click to copy table icon to copy the data into a program which can perform the calculation for

Use a periodic rate of 1 5 and the unpaid balance method to compute the unpaid balance finance charge and new balance Round to the nearest cent Previous Balance 350 00 125 50 437 50 Payments Credits 75 00 Unpaid Balance 57 50 275 45 50 80 380 Finance Charge 4 13 1 20 5 70 New Purchases 90 00 42 50 222 50 New Balance 369 13 1 0 0 X

Kwami Endabe s charge account uses the unpaid balance method The periodic rate is 1 85 The previous balance is 478 68 He had payments of 150 and 60 and an 89 95 credit He has new purchases of 38 50 65 74 and 125 61 The new balance rounded to the nearest cent is x

Previous Balance 1280 payment 200 new purchases 52 and 48 periodic rate 1 6 The new balance rounded to the nearest cent is x

cos 3x 10 cos 2x denkleminin A 2 0 180 aral nda ka farkl k k vard r B 3 C 4 D 5 E 6

Required 1 What amount of total liabilities does Apple report for each of the fiscal years ended a September 28 2019 and b Septe 29 2018 2 What amount of total assets does it report for each of the fiscal years ended a September 28 2019 and b September 2 2018 3 Compute its debt ratio for each of the fiscal years ended a September 28 2019 and b September 29 2018 4 In which fiscal year did it employ more financial leverage September 28 2019 or September 29 2018 Complete this question by entering your answers in the tabs below Required 1 Required 2 Required 3 What amount of total assets does it report for each of the fiscal years ended a September 28 2019 and b September 29 2018 Note Enter your answers in millions of dollars a September 28 2019 Total Assets Required 4

Assign trucks to delivery routes so that total costs are minimized given the cost data shown What is the total cost Leave no cells blank be certain to enter 0 wherever required Truck 1 2 3 4 5 A 4 6 7 5 6 ROUTE B C 5 9 4 8 10 3 2 5 5 3 Click here for the Excel Data File D 8 3 4 5 4 E 7 5 6 8 9

The following table contains order dependent setup times for three jobs Following Job s Setup Time hrs A Preceding Job B C Setup Time hrs 2 4 3 2 2 0 A Al B C 1 8 2 2 1 4 0 8 2 6 1 3 Click here for the Excel Data File Which processing sequence will minimize the total setup time

Given the following information set up the problem in a transportation table and solve for the minimum cost plan Solve by modifying textbook Table 11 6 Demand Capacity Regular Overtime Subcontract Beginning inventory Costs Regular time Overtime Subcontract Inventory carrying cost Back order cost 550 500 50 120 100 PERIOD 2 700 60 per unit 80 per unit 90 per unit 500 50 120 1 per unit per month 3 per unit per month 3 750 500 50 100 Suppose that regular time capacity will be reduced to 440 units in period 3 to accommodate a companywide safety inspection of equipment What will the additional cost of the optimal plan be

The following information applies to the questions displayed below Gabi Gram started The Gram Company a new business that began operations on May 1 The Gram Company completed the following transactions during its first month of operations May 20 May 22 May 25 May 26 May 27 May 28 May 30 May 30 May 31 May 1 Gabi Gram invested 40 000 cash in the company May 1 The company rented a furnished office and paid 2 200 cash for May s rent May 3 The company purchased 1 890 of equipment on credit May 5 The company paid 750 cash for this month s cleaning services May 8 The company provided consulting services for a client and immediately collected 5 400 cash May 12 The company provided 2 500 of consulting services for a client on credit May 15 The company paid 750 cash for an assistant s salary for the first half of this month May 20 The company received 2 500 cash payment for the services provided on May 12 May 22 The company provided 3 200 of consulting services on credit May 25 The company received 3 200 cash payment for the services provided on May 22 May 26 The company paid 1 890 cash for the equipment purchased on May 3 May 27 The company purchased 80 of equipment on credit May 28 The company paid 750 cash for an assistant s salary for the second half of this month May 1 May 1 May 3 May 5 May 8 May 12 May 15 May 30 The company paid 300 cash for this month s telephone bill May 30 The company paid 280 cash for this month s utilities May 31 Gabi Gram withdrew 1 400 cash from the company for personal use Required 1 Enter the amount of each transaction on individual items of the accounting equation Note Enter the transactions in the given order Enter reductions to account balances with a minus sign Select NA for account titles if the transaction does not include an expense Date Cash 0 Assets Accounts Receivable Equipment 0 1 11 In 0 Liabilities Accounts Payable Gabi Gram Capital 0 IIIIIII TE 1 1 TI Equity Gabi Gram Withdrawals 0 Revenues ITHIIHIILIHULIHI Expenses Account Titles for Expenses NA Rent Salary Telephone Utilities

Identify the following users as either External users or Internal users a Business press b District attorney c Shareholders d Lenders e FBI and IRS f Consumer group g Creditors h Regulators i Managers j Nonprofit donor k Distribution managers 1 External auditors