Math - Others Questions

Macmillan Learning Solve the factored equation 12 sin x 6 Give all answers in the form t 2kx where t is in the interval 3x 1 1 Give your answer in the form of a comma separated list if needed Express numbers in exact form Use symbolic notation and fractions where needed Use k to represent any integer x

n 8 of 13 Macmillan Learning Use an inverse trigonometric function to give exact solutions of the equation sin x 0 65 Give your answer in the form of a comma separated list if needed Express numbers in exact form Use symbolic notation ar fractions where needed Use k to represent any integer X Use a calculator to get a decimal approximation of the obtained solutions Use decimal notation Round your answer to two decimal places Give your answer in the form of a comma separated list needed Use k to represent any integer

10 of 13 Solve the equation reporting your answer in degrees 2 cos x 1 Choose the correct solution s where k represents any integer 120 k360 60 k360 2 3 2kt 2kz 120 k360 330 k360

on 1 of 13 Macmillan Learning Find all solutions of the trigonometric equation in terms of integer k and the solutions in a single period x Express your answer in radians 2 cos t 1 Give your answer in the form of a comma separated list if needed Express numbers in exact form Use symbolic notation and fractions where needed Use k to represent any integer

Macmillan Lea A B A Let the length of side B 6 and the length of side C 11 Find the length of the side A Give an exact answer Use symbolic notation and fractions where needed Cauder et al Preparation for Cal SZ Find the measure of angles s and 1 Use decimal notation Give your answers to two decimal places Include the degree symbol in your answers

on 9 of 13 Macmillan Learning Find one solution coming from the interval 0 z of the equation 4 cos x 1 4 sin x Suggestion Think about the double angle formula for the cosine Express numbers in exact form Use symbolic notation and fractions where needed x Provide an approximated solution correct to two decimal places Use decimal notation Give your answer to two decimal places If the answer is given in degrees include the degree symbol

B of 13 Consider the interval 0 27 Find one exact solution of the equation 10 tan x 5 sec x Suggestion First multiply each side of the equation by cos x Express numbers in exact form Use symbolic notation and fractions where needed If the answer is given in degrees include the degree symbol X

7 of 13 Macmillan Learning Find one exact solution of the given equation over the interval 2 2 sin x 2 cos x Suggestion First divide each side of the equation by cos x Express numbers in exact form Use symbolic notation and fractions where needed If the answer is given in degrees include the degree symbol x KI4 Attempt 2 T 24

13 of 13 Macmillan Learning You stand 100 horizontal feet from a vertical cliff The top of the cliff is 39 feet above eye level The figure is provided Cliff 39 100 At what angle above the horizontal must you incline your eyes to look directly at the top of the cliff Use decimal notation Give your answer to two decimal places Include the degree symbol in your answer angle

10 of 13 Applications of inverse trigonometric functions often involve degrees rather than radians In terms of degrees the ranges are arcsin 90 90 arccos 0 180 arctan 90 90 Calculate arcsin 0 7 in degrees using a calculator Use decimal notation Give your answer to at least two decimal places Include the degree symbol in your answer arcsin 0 7

Question Given AC bisects LBCD prove AABC AADC by filling out the flowchart below For each bax choose a statement format from the dropdown menu You will then be able to change the letters to match the diagram for this problem Typ at Statement Type of Statement Reason Reason Typod Strtem n Reason Type of Stotrigo Reason

Ronald Roth started his new job as controller with Aerosystems today Carole the employee benefits clerk gave Ronald a packet that contains information on the company s health insurance options Aerosystems offers its employees the choice between a private insurance company plan Blue Cross Blue Shield an HMO and a PPO Ronald needs to review the packet and make a decision on which health care program fits his needs The following is an overview of that information a The monthly premium cost to Ronald for the Blue Cross Blue Shield plan will be 43 34 For all doctor office visits prescriptions and major medical charges Ronald will be responsible for 25 percent and the insurance company will cover 75 percent of covered charges The annual deductible is 550 b The HMO is provided to employees free of charge The copayment for doctors office visits and major medical charges is 20 Prescription copayments are 10 The HMO pays 100 percent after Ronald s copayment There is no annual deductible c The POS requires that the employee pay 25 46 per month to supplement the cost of the program with the company s payment If Ron uses health care providers within the plan he pays the copayments as described above for the HMO with no annual deductible He can also choose to use a health care provider out of the network and pay 25 percent of all charges after he pays a 550 deductible The POS will pay for 75 percent of those covered visits Ronald decided to review his medical bills from the previous year to see what costs he had incurred and to help him evaluate his choices He visited his general physician five times during the year at a cost of 110 for each visit He also spent 66 and 90 on two prescriptions during the year Assume Ron visited a physician outside of the network plan but had his prescriptions filled at a network approved pharmacy If Ronald selects the POS plan what will his annual medical costs be Do not round intermediate calculations Round your answer to 2 decimal places T Personal annual cost

7 ints eBook Hint Print References End of year current assets for two different companies follow One is a manufacturer Rayzer Skis Manufacturing and the other Sunrise Foods is a merchandiser Cash Account Merchandise inventory Raw materials inventory Work in process inventory Finished goods inventory Accounts receivable net Prepaid expenses Req 1 Company 1 Company 2 7 000 44 250 5 000 1 Identify which set of numbers relates to the manufacturer and which to the merchandiser 2a 2b Prepare the current asset section of the balance sheet at December 31 for each company Req 2A 64 000 4 000 Complete this question by entering your answers in the tabs below 41 250 30 000 50 000 80 000 800 Req 2B Prepare the current asset section of the balance sheet at December 31 for Company 2 Current Assets Section of Balance Sheet December 24 Check m

ces Beginning inventory Merchandise Finished goods Cost of merchandise purchased Cost of goods manufactured Ending inventory Merchandise Finished goods Merch Business Mfg Business Bare Unimart Manufacturing 151 000 450 000 Cost of goods sold 51 000 Compute cost of goods sold for each of these two companies Goods available for sale Complete this question by entering your answers in the tabs below 302 000 BARE MANUFACTURING Computation of Cost of Goods Sold 870 000 45 000 Compute cost of goods sold for the company in Manufacturing Business

es Use the following selected account balances of Delray Manufacturing for the year ended December 31 Sales Raw materials inventory beginning Work in process inventory beginning Finished goods inventory beginning Raw materials purchases Direct labor Indirect labor Repairs Factory equipment Rent cost of factory building Selling expenses General and administrative expenses Raw materials inventory ending Work in process inventory ending Finished goods inventory ending Direct materials DELRAY MANUFACTURING Schedule of Cost of Goods Manufactured For Year Ended December 31 1 800 000 76 000 99 000 129 000 350 000 420 000 Prepare its schedule of cost of goods manufactured for the year ended December 31 Raw materials available for use 63 000 50 000 100 000 160 000 256 000 91 000 119 000 155 000

A saleswoman wants to visit eastern cities New York City Boston Cleveland and Washington D C Driving distances are as shown in the figure below what is the shortest trip starting in New York that visits each of these cities if r1 493 r2 560 Find the solution using the sorted edge method Cleveland 375 667 r1 12 Wash Boston 235 216 NYC

K 10 18 6 10 8 6 4 2 4 2 2 6 8 10 4 2 v 4 68 10 a Write an equation for the graph where y depends on I

Write the equation of the line in slope intercept form y mx b 8 7 6 5 Z 17 www myopenmath com assess2 7cd 1915768 S 8 7 6 5 4 w A 3 2 1 2 3 4 5 67 8 12 on 4 6 78

Question 5 Write an equation for the graph below in terms of 3 2 1 y 3 2 2 3 i Jury

iven a line passes through point 10 3 and the origin find the equation of the line y

Ronald Roth started his new job as controller with Aerosystems today Carole the employee benefits clerk gave Ronald a packet that contains information on the company s health insurance options Aerosystems offers its employees the choice between a private insurance company plan Blue Cross Blue Shield an HMO and a PPO Ronald needs to review the packet and make a decision on which health care program fits his needs The following is an overview of that information a The monthly premium cost to Ronald for the Blue Cross Blue Shield plan will be 43 34 For all doctor office visits prescriptions and major medical charges Ronald will be responsible for 25 percent and the insurance company will cover 75 percent of covered charges The annual deductible is 550 b The HMO is provided to employees free of charge The copayment for doctors office visits and major medical charges is 20 Prescription copayments are 10 The HMO pays 100 percent after Ronald s copayment There is no annual deductible c The POS requires that the employee pay 25 46 per month to supplement the cost of the program with the company s payment If Ron uses health care providers within the plan he pays the copayments as described above for the HMO with no annual deductible He can also choose to use a health care provider out of the network and pay 25 percent of all charges after he pays a 550 deductible The POS will pay for 75 percent of those covered visits Ronald decided to review his medical bills from the previous year to see what costs he had incurred and to help him evaluate his choices He visited his general physician five times during the year at a cost of 110 for each visit He also spent 66 and 90 on two prescriptions during the year Assume Ron visited a physician outside of the network plan but had his prescriptions filled at a network approved pharmacy If Ronald selects the POS plan what will his annual medical costs be Do not round intermediate calculations Round your answer to 2 decimal places C Personal annual cost

For each function below identify the Slope and Vertical Intercept Write your numerical answers as whole numbers or reduced fractions Write your intercepts as ordered pairs Write DNE if a slope or an intercept Does Not Exist Function Slope 6y 2x 6 I y 7 7 8x y 9 y 10 50 x DNE 618 I Vertical Intercept DNE 0 0 OT

Finally which of the following is true Select an answer Consider the following two lines 6 Line 5 y 4 5 3 Line 6 y x 10 5 The slope of Line 5 is m The slope of Line 6 is m Finally which of the following is true Select an answer Consider the following two lines 5 Line 7 y 10 3 Line 8 y x 10 The slope of Line 7 is m The slope of Line 8 is m Finally which of the following is true Select an answer Question Help

4 Find the slope of the above graph

Lily has 650 000 saved for retirement in an account earning 2 05 interest compounded quarterly How much will she be able to withdraw each quarter if she wants to take withdrawals for 17 years Round your answer to the nearest dollar

Question 6 Given a line passing through 1 4 and 8 2 which of the following is the corr line Om Om Om Om Om Om Om m 8 1 2 4 2 4 8 1 8 1 2 4 2 4 8 1 8 1 2 4 2 4 8 1 2 4 8 1 8 1 2 4

Use the equation z 5y 5 a Complete the table 0 y b Graph the two points you found in the table to graph the line 6 5 4 3 2 S the 3 N 1

A sporting goods company keeps track of how much it spends on advertising each month and of its corresponding monthly profit From this information the list of monthly advertising expenditures and the associated monthly profit shown in the accompanying table was compiled Sporting Goods Profit Generated by Advertising Advertising thousand dollars a 5 7 Enter a number Interpret the result 9 11 13 15 17 19 Profit thousand dollars p 150 190 240 315 390 450 510 525 a Find the function for the cubic model that gives monthly profit in thousand dollars where a is the amount spent on advertising in thousand dollars with data from 5 sa 19 Round all numerical values to three decimal places p a 0 211a 7 361a 48 122a 234 544 X thousand dollars b Find the rate of change of profit as a rate of change when the monthly advertising expenditure is 10 000 Round your answer to three decimal places X thousand per thousand dollars When 10 000 is the monthly spending on advertising profit is increasing by per thousand dollars Use the model to find the rate of change of profit as an approximate change when the monthly advertising expenditure is 10 000 Round your answer to three decimal places thousand per thousand dollars ree 10 re 10

Consider the function f x In this question we will use linear approximation to find a rational number that closely approximates 103 a The x value at which we begin the linear approximation of f x is at a b Our linear approximation to f x is L x c Thus 103 L 103

Hypothesis testing of proportions using 3 methods 9 3 a Benford s Law states that in a random sample of numbers used in measurement with multiple digit integer values will be approximately 30 1 will have the leading digit of 1 Such a data set is being investigated for possible fraud The data set had 33 of its 20 000 pieces of data having a leading digit of 1 Is this data set odd Test this hypothesis using a confidence level of 99 Use z and p values tests b Benford s Law states that in a random sample of numbers used in measurement with multiple digit integer values will be approximately 30 1 will have the leading digit of 1 Such a data set is being investigated for possible fraud The data set had 29 5 of its 12 000 pieces of data having a leading digit of 1 Is this data set odd Test this hypothesis using a confidence level of 99 Use interval and p value tests c The historic rate of property crime in Metropolis City has been 12 for every 1 000 residents each year Last year an election year in the city a candidate for mayor claimed that crime had increased She cited a report of 190 property crimes for the 15 000 residents of Metropolis in the last year Test her hypothesis with a 90 confidence level Use both z value and interval tests

Given probability and mean and standard deviation for a normal distribution find z and confidence interval 7 3 a Intelligence quotient on a given test is normally distributed with a mean of 100 and a standard deviation of 10 Find the confidence interval for the intelligence quotient for the middle 95 of the population b Conifer tree ring widths in the rainforest of Washington are approximately normally distributed If the mean is 12mm and has a variance of 16 find a 98 confidence interval for the width of a conifer tree ring in a Washington state rain forest c We will assume the distribution of gestational blood glucose is approximately

Problem 3 a Express the complex number 4 3 in the form a hi

Maximize f 2x 9y subject to the following constraints x y 7 2x 2y 12 x 3y 15 x and y are non negative a Identify the constraints that are binding and the ones that are not binding b Identify if any constraint is redundant i e is not needed to delineate the feasibility region c Find the range of optimality of both of the objective function coefficients d Find the shadow prices of each of the constraints e Compute the amount by which the objective function changes if the right hand side of one of the constraints increases by 8

Using Fig1a png Fig1b png and Fig1c png answer the following question For values of p near 0 5 e g 0 47 the binomial distribution is nearly Ol left skewed Il right skewed O III symmetric O IV none of the above

and y 24 2 3 3 Evaluate the expression when c 2y c Write your answer in simplest form 1 8 08

1 point If B m 7 Problem 17 101 1 1 2 1 1 1

1 point The determinant of the matrix is A 6 1 4 8 0 1 0 47 00 00 8 2 9 5

1 point Consider the matrix blem 18 a The determinant of the matrix is b Does the matrix have an inverse 1 0 37 0 4 3 3 0 0

Assignm 7 Problem 5 1 point Find the determinant of the n x n matrix A with 6 s on the diagonal l s above the diagonal and 0 s below the diagonal det A 1

1 point Use determinants to determine if the matrix below is singular A 244 det A 05 3 435

Assignm 7 Problem 10 1 point Use the appropriate property of determinants to find a Do not evaluate the determinants 5 23 5 5 23 5

Assignm 7 Problem 11 1 point Evaluate the following 3 x 3 determinant Use the properties of determinants to your advantage 17 3 2 1 2 13 3 2 13

1 point Given the matrix a find its determinant 0 b does the matrix have an inverse Your answer is input Yes or No Your answer is 0 2 0 1 0 3 2 co do c

Multiple Choice Identify the choice that best completes the statement or answers the question 19 Which is the best material to use for special protective clothing Polyester C 100 wool 100 cotton d leather 20 The job of the Flux on the stick electrode is to a Form a slag layer over the weld b Change the characteristic of the arc C Provide a directional support for the molten metal a b 21 There are a few techniques to starting a weld which ones are correct a Tapping C Scratching b Igniting d High Frequency 22 It s important to keep which variables consistent during the welding process Voltage Travel Speed Stick out a b Arc Length a b d e 23 A Defect Discontinuity that consists of air pockets a Lack of Fusion b Excessive Reinforcement 25 Excessive Spatter is cause by too high of amperage too long of arc length a b Slag Inclusion Shield the weld pool All of the above C d 24 A Defect Discontinuity that consists of a non metal piece lodged inside the weld a Porosity c Incomplete Fusion b d a 5 mins b 8 mins C d Porosity C d in the weld sle Slag Inclusion 26 Welding Electrodes with the third digit of 1 ie 7018 means They can only be welded 1 way They are limited to Flat and horizontal C d Incomplete Joint Penetration C d Arc Blow All of the Above 27 If a machine had a duty cycle of 50 125 amps how many minutes could it run 125 amps in a 10 m amps hout mon in cycle Can only be welded flat Can be welded in all positions 6 mins 25 seconds 10 mins

Liam DeWitt ACCOUNT INFORMATION Account Number TRANSACTIONS 22 Aug 23 Aug 25 Aug 1 Sept 2 Sept 3 Sept 5 Sept 10 Sept 12 Sept SUMMARY 4 10700000 Propane Home Heat TJ Marsha s Department Store Brighton University Middle Island Auto Parts Payment Al s Mobal Gas Station Stop Shop and Go Federal Express Computer Depot Previous Balance 3 240 50 Total Credit Line Total Avalable Credit Credit Line for Cash Available Credit for Cash Payments Credits Transactions 5 000 00 5 000 00 4 000 00 4 000 00 Billing Date Late Charge 50 00 Average Daily Balance Finance Charge West Chester OH 13 Sept Payment Due Days in Baling Cycle 30 30 Sept DEBITS CREDITS New Balance APR 250 50 87 60 1 300 00 470 63 2 000 00 19 8 34 76 102 71 45 90 848 60 Minimum Payment 50 00 Monthly Periodic Rate a How many purchases debits were made during the billing cycle b What is the sum of all purchases debits made during the billing cycle c When is the payment for this statement due d What is the minimum amount that can

Match every term with correct definition a Leg Length b Face Toes Depth of Penetration Puddle Tack Weld Fillet Weld T Joint C d e f Butt Joint Edge Joint Lap Joint Corner Joint k 1 Root m Weld Gauges h i j 28 The top exposed visual surface of the weld 29 A weld used to hold two pieces of material together 30 Molten metal on the base material located where the electrode is directed 31 Weld Height from toes to root 32 Used to easily measure the weld size 33 Welding on the outside edge of two pieces parallel to one another 34 Joints two surfaced usually at a right angle 35 Edges of a weld 36 When two piece overlap each other 37 How much a weld melts into the base material 38 Bottom corner of a fillet weld 39 When to pieces are abutted to one another edge to edge 40 Welding on the outside corner

True False Indicate whether the statement is true or false 1 Base Metal is the metal to be welded or cut 2 A crater is the depression at the start of the weld 3 Under cut is when you cut a piece of metal to short 4 Arc length is the distance between the electrode and the metal being welded 5 You don t need to clean the metal after each weld if you turn the amperage up because the heat will remove all impurities 6 When grinding it is important to know where the sparks are being directed for safety reasons 7 Burns can be caused by ultraviolet light rays 8 When SMAW your helmet should be set between 3 6 9 Damage to your hearing caused by high sound levels is permanent and may not be detected until later in life 10 It is important to maintain a close arc length consistant travel speed and proper electrode angle to create a quality weld 11 When your weld is skinny its because your travel speed was to slow 12 Porosity is caused when the metal isnt cleaned properly arc lenght is to large the flux on the rod is missing and when the rod has moisture in it 13 Any physical movement while welding will cause an irregularity in the finished weld 14 When stick welding you can push or drag the weld 15 SMAW machines require a constant current power source 16 Duty Cycle is the operating time the welding machine can weld without overheating damaging the machine 17 Welding in the Flat position is the most difficult of the 4 basic positions 18 When welding in Horizontal Vertical or Overhead you must adjust the electrode angle Travel Speed and other variables to compensate for gravity

Use the following to answer question 40 Figure Market for Loanable Funds III Interest rate 30 27 24 21 18 10 5 15 12 9 6 3 0 200 400 E S D 600 800 1 000 1 200 Quantity of loanable funds billions of dollars A fall to 12 B rise to 16 5 C rise to 18 40 Figure Market for Loanable Funds III If the government in a closed economy is running a budget balance of zero when it decides to increase defense spending by billion and then finances the spending by selling bonds the equilibrium interest rat will

Use the following to answer question 25 Figure Minimum Wage Wage P3 22 Q Q3 D Q Quantity of labor 25 Figure Minimum Wage With a binding minimum wage of P3 the quantity of lab demanded would be A Q B Q C 0 D 04

A Ih S Paragraph 15 Use the following to answer question 34 Figure Market for Loanable Funds II Interest rate 8 E 0 O 300 A 8 be greater than B 8 be less than C 8 equal Supply than mal Demand Quantity of loans Styles 34 Figure Market for Loanable Funds II If the interest rate is greater than the quantity supplied of loanable funds will demanded then the quantity of loanable tunds F