Math - Others Questions

1 point Let A 3 3 and B 3 1 be points in R2 and let C 4 3 4 and D 0 3 2 be points in R a Find the distance between A and B help numbers b Find the distance between C and D help numbers c Find the distance between the point x y z and C help numbers d Find the length of the vector CD help numbers e Find the length of the vector 2BA help numbers

Assigm8 Problem 16 1 point Suppose u 2 2 and 2 10 are two vectors that form the sides of a parallelogram Then the lengths of the two diagonals of the parallelogram are Separate answers with a comma

Let v 5 3 2 Find a unit vector in the same direction as v

P 6 3 1 R 2 1 6 Find the point such that R is the midpoint of PQ Q

1 point For what value s of t does the equality hold true t If there are more than one value separate them by commas t 6t 0 5t 5 0 8

1 point Let 5 1 1 3 and 2 5 Find the vector 10u In this case x that satisfies 4x w

Assigm8 Problem 2 1 point Let a 3 1 1 and b 5 2 5 Show that there are scalars s and t so that sa tb 29 11 23 You might want to sketch the vectors to get some intuition

1 point Suppose B 3 4 9 and AB 2 10 13 Then A help points

Assigm8 Problem 6 1 point Find the vector in AB R AB help vectors given in the figure 6 5 4 3 2 1 6 5 4 B 2 1 2 9 2 A X

Find the point P such that v PQ has the components 5 5 9 25 16 Q 3 5 0 75 9 B

cise 13 5 3 Compute exp 5 66

12 How many FUs can be drained for a 10 horizontal branch with a grade of 0 25 a Unlimited b 2500 c None d 2499 13 The maximum number of WCs that may be wet vented is a 1 b 2 3 d Unlimited 14 The maximum size of fixture drain with the exception of floor drains that may connect to a wet vent is a 1 b 3 c 1 d 2 15 A separately vented fixture s hydraulic load must be taken into account when sizing the continuous vent in a wet vented group a True b False c Sometimes d A and c 16 The length of a wet vent is limited to a One pipe diameter of fall b 1 2m c There is no limit d 2 5m 17 A wet vent extending through more than one storey may accept a maximum of how many fixtures units per storey on any storey above the first a 4 b 3 51 2

6 The minimum size of every sanitary building sewer and every sanitary building drain is a 4 b 3 c 6 d 2 7 A air conditioner discharges condensate at a rate of 3 liters per second what is its FU rating a 95 1 FUS b 86 3 FUS 8 FUS d 31 FUS 8 A vertical sanitary drainage pipe can carry a maximum volume of waste equal to a 35 b 25 69 d 29 9 A horizontal sanitary drainage pipe can carry a maximum volume of waste equal to a 65 b 25 c 39 d 69 10 Drains are designed to never run at full capacity a T b F 11 A building has a soil stack receiving 102FUs of waste There is a public washroom with 4 Di Flush Water Closets on the third floor What is the minimum size of the soil stack 3 b 4 c 5 d 6

12 How many FUs can be drained for a 10 horizontal branch with a grade of a Unlimited b 2500 c None d 2499 13 The maximum number of WCs that may be wet vented is a 1 b 2 c 3 d Unlimited 14 The maximum size of fixture drain with the exception of floor drains that may connect to a wet vent is a 1 b 3 c 1 d 2 15 A separately vented fixture s hydraulic load must be taken into account when sizing the continuous vent in a wet vented group a True b False c Sometimes d A and c inov toW 16 The length of a wet vent is limited to a One pipe diameter of fall b 1 2m c There is no limit 7031 stanswor

1 An undersized drain would experience what symptoms a It would carry too little drainage so there would be a lack of scrubbing b It may become air locked and impede the flow of discharge c Leftover solids may lead to a blockage d Higher velocity of flow 2 Fixture Units are based on what three factors 3 The minimum size of any regular WC fixture drain is a 2 b 3 c 4 d 4 A 3 horizontal branch can carry a maximum of how many WCs a 1 b 2 c 3 d 4 5 A 3 soil stack can carry a maximum of how many WCs a 2 b 3 c 4 PE glead me

Ex 1 Calculate the slope of these lines Answers should always be left in fractions reduced to lowest terms b a 6 A 2 ol 0 2 y 2 A line segment that goes up to the right will have a B 4 X m rise run 1 4Y 2 2 10 2 4 6 N 2 X D

se 13 5 1 Diagonalize 06

13 5 2 Compute 1 5 06

1 f x 2 x 1 2 the asymptotes domain and range AR 2 f x 3 1 x 1 48 2

What Social Media platforms do you use What information do they collect about you What do they do with it

P D P R E Key Concepts P R E where P is profit R is revenue and E is expenses The vertex of a profit function lies on the axis of symmetry The vertex of a profit function contains the maximum profit Maximum profit can be found on the graph where the difference between the revenue and expense functions is the greatest Guided Exercises FunFleece Incorporated manufactures fleece hats It is considering making a new type of weatherproof fleece hat The expense and revenue functions are E 300p 150 000 and R 300p2 29 000p 1 Determine the profit function P Date Substitute the expense function for E and the revenue function for R P 300p2 29 000p 300p 150 000 P Mod The profit function is P 2 Use the equation from Exercise 1 Determine the maximum profit to the nearest cent Determine the price that yields maximum profit Find the maximum of the profit equation Axis of symmetry b 2a Substitute the price p into the profit equation from Exercise 1 Axis of symmetry 2

1 n n 12 4n 16 16n 2 3x 3x 9x 8x

2z 2 Jz 0 25i C Find O dz where C Iz i 1 CCW

JG 2 42 4 2i ind for C z 2 ind I for C Iz3 2

Find I f z z 1 z2 2z integrated on z 3 4 CCW

1 nd I ad 1 2 2 dz dz C Iz 5 4 CCW

A data set includes weights in grams of 40 Reese s Peanut Butter Cup Miniatures The accompanying Statdisk display shows results from using all 40 weights to test the claim that the sample is from a population with a mean equa to 8 953 g Test the given claim by using the display provided from Statdisk Use a 0 01 significance level Click the icon to view the Statdisk display Identify the null and alternative hypotheses Ho H Type integers or decimals Do not round

A random sample of 839 births included 430 boys Use a 0 05 significance level to test the claim that 51 1 of newborn babies are boys Do the results support the belief that 51 1 of newborn babies are boys Identify the null and alternative hypotheses for this test Choose the correct answer below OA Ho p 0 511 H p 0 511 OB Ho p 0 511 H p 0 511 OC Ho p 0 511 H p0 511 OD Ho p0 511 H p 0 511

1 Assume that the solution to y 3xy y 0 is given as a power series about x 0 that is 8 y x n 0 Write a2 a3 and a4 in terms of ao and or a Anxn

1 A shallow foundation supported by a silty sand is shown in the figure below Estimate the elastic settlement of the foundation given Length L 3 m Width B 3 m Depth of foundation D 1 5 m Thickness of foundation t 0 25 m Load per unit area Ao 150 kN m Ef 15 x 106 kN m The silty sand has the following properties H 20 m Mg 0 3 Eo k 400 kN m m 16 000 kN m Compressible soil layer Es s Be A H Rigid layer Eo Depth z NOTE Show all the calculation steps Es Es Eo kz

Paul has worked as the inventory manager with Hypermart Retail for more than 30 years During that time Paul suffered a spinal injury and went on a medical leave for almost two years At the time of his retirement he was informed that he had lost pension eligibility rights because of his medical leave If Paul brings a suit against Hypermart Retail which of the following would be grounds for such a suit a Under the Retirement Equity Act of 1984 pension plans can contain break in service clauses that can cause employees to lose pension eligibility rights if they leave their employment for a period longer than one year b Under the Retirement Equity Act of 1984 an individual can leave the workforce for up to five consecutive years and still retain eligibility for pension benefits c Under the Employee Retirement Income Security Act ERISA employees rights must be fully vested within 20 to 25 years in accordance with the two vesting options available under the law d The Pension Benefit Guaranty Corporation PBGC protects employees covered under defined benefit plans if the employer wrongfully terminates them

The issue before the court in the McLaughlin v Richland Shoe Co case was a whether Richland should be ordered to pay back after the judgment of the Court b whether an action against a company for a willful violation of the minimum wage law must be brought within three years c whether Richland Company should have been paying the minimum wage d whether Richland s actions amounted to discrimination under Title VII of the Civil Rights Act of 1964

Dylan is a construction worker for J L Construction In the summe he consistently works about 50 hours per week but in the winter he Oonly works about 30 hours per week J L informs him that to balance out his pay they are going to pay him for 40 hours a week regardless of how many hours he works and that it will all average out over the course of the year Is this legal a It is legal if Dylan gets paid for all the time he has worked by the end of the year b It is illegal Dylan must be paid double his regular rate of pay for each hour worked in excess of 40 hours per work week c It is legal because they are paying Dylan extra when he is actually working only 30 hours The company is correct it all balances out d It is illegal Dylan must be paid one and a half times his regular rate of pay for each hour worked in excess of 40 hours per work week

6 A lab wants to compare two different drugs and whether patients felt side effects For Drug A out of a sample of 90 patients 18 felt some side effects For Drug B out of a sample of 100 patients 22 felt side effects At a 95 confidence level a 0 05 determine if there is a difference between the two drugs as far the proportion of patients who felt side effects Ho P P2 HA P1 P2 The null and alternative hypotheses a Compute the test statistic z score b What is the p value for the test statistic

QUESTION 3 All Sundry Ltd commenced business on June 1 2019 The business financial year ends on May 31st The policy of the business is to depreciate all non current assets according to the months of ownership using the Reducing Balance Method at a rate of 20 per annum The following information was provided relating to its non current assets register over the first two financial years 2019 August 1 2019 October 1 2020 Nov 30 2021 Feb 28 2021 March 1 Bought a machine for 45 000 by cheque Bought an additional machine for 30 000 paying in cash I All Sundry Ltd traded the machine that was acquired in October 2019 for a newer model The newer model cost 36 000 and a trade in allowance of 18 700 was agreed upon All Sundry Ltd settled the balance due by cheque Sold the machine that was originally purchased on August 1 2019 for 34 130 cash Purchased a machine for 55 000 by debit card Required Prepare the following for All Sundry Ltd to reflect the two year period i Machinery Account ii Accumulated Depreciation Machinery Account iii Disposal Accounts iv separate account for each disposal Income Statement extracts 4 marks 16 marks 5 marks 2 marks

a Us and them b We and them c Us and they d We and they 33 Joel is one of the fanatical sports fans about nothing else a Who talks b Who talked c Who talk 1 Who is talking 34 I will see you tomorrow When I return b After I have returned c After I might have returned d When I have returned But for the night guard s vigilance the factory burgled a Would be b Will be c Would have been d Will have been 36 No sooner It started to rain a Did he arrive home when b Had he arrived home than c Than he arrived home d When he an He doesn t think of her 37 Hardly a day goes by J a That b When c While d Without 38 Scarcely had I opened the door the dog came running in a As b Before c Than d When 39 Several Attended the two day summit a Head of state b Heads of states c Heads of state J Head of states 40 You haven t seen this man before Searned with CamScanner a Isn t so b Have you c Is it so d Isn t it 41 I saw him again week a Soine time b Sometimes c One time d Sometime 42 She bought a a Red beautiful leather b Beautiful leather red c Beautiful red leather d Leather beautiful red 43 It was the head boy that took the book away a Didn t he b Wasn t he c Wasn t it d Isn t it 44 My father took me to England a At the age of ten b Being ten years old c When I was ten d At ten years old 45 The teacher wanted to know if all our homework submitted a Have been b Has been c Had been d Is being 46 The man denied the company property a Stolen To have stolen c To be stealing d Stealing 47 The day I won a visa lottery was the Day of my life a Happy b Very happy c Happiest d Happier 48 Ebiere invited to her birthday party a Bola and I b My self and Bola c Bola and me d Bola and myself 49 The company employs only experienced mature workers a And b But c Well d Very 50 Adamu looked at his watch and said it s high time we Home a Must go h Went c Should go d in

Suppose that during a recession the government borrows money to provide free wireless Internet access in urban areas Which of the following statements are correct Choose one or more A Crowding out will occur as individuals choose to rely on free Internet service instead of purchasing their own B This policy will likely be accompanied by an impact lag as the policy takes time to make its way to the people C The free wireless Internet access in urban areas will likely raise interest rates as the government borrows more money to finance the purchase D The provision of free Internet service is an example of an automatic stabilizer E The government is engaging in contractionary fiscal policy 4

graph below AD1 shows where the economy was operating before fiscal policy was implemented and AD2 shows the effects of a successful fiscal policy with no crowding out On the graph drag AD2 to its correct position if the fiscal policy led to complete crowding out To refer to the graphing tutorial for this question type please click here Price Level SRAS LRAS AD1 Q AD2

The government of a country has decided to lower income taxes in an attempt to expand the economy to the full employment output level Assume the policy is successful Shift the appropriate curve to the correct position To refer to the graphing tutorial for this question type please click here LRAS SRAS1 AD1

Suppose the economy is in a recession The economy needs to expand by at least 450 billion and the marginal propensity to consume is 0 7 What is the least amount the government can spend to overcome the 450 billion gap billion

the fall of 2007 the United States economy began a descent into deep recession As a result the federal government and the Federal Reserve took action to stimulate economic growth Which of the following would have been an appropriate fiscal policy Choose one or more A the federal government beginning to close failing banks B the Federal Reserve increasing the money supply to reduce the interest rate C the federal government spending more money to build more infrastructure D the federal government providing tax refunds to many taxpayers DE the federal government increasing its regulation of banks

As an elected official you have been informed that real GDP is below its potential and that action should be taken to encourage economic growth and bring the economy to its long run equilibrium The marginal propensity to consume is 0 8 and the amount of new government spending is 500 billion What is the multiplier Compute this to the first place beyond the decimal Part 2 1 point By how much would the economy be stimulated billion See Hint

Assume the economy is operating beyond the full employment output level as shown in the graph below The government want to use contractionary fiscal policy to correct the situation Drag the appropriate line to the correct position to show the change To refer to the graphing tutorial for this question type please click here IG Price Level 16 15 14 13 12 11 10 9 8 7 X ERAS 9 B 9 63 SRAS AD1

Macmillan Learning Solve the given triangle Use degree measure C az 10 a 160 B 7 Use decimal notation Give your answers to three decimal places Include the degree symbol in your answers where needed

This question 1 point s possible Consider the following sets U upperclassmen L lowerclassmen S science majors V GPA above 3 0 A art majors T Athletes and D involved in Drama Use the table of students shown to the right to answer the following question Find the number of subsets of the set of students who are seniors and Music majors Type a whole number Major Allen English Belinda Art Carmen Physics Dana Music Junior Elston Sociology Junior Frank Music Senior Gina English Freshman Hector Art Junior Ivana Chemistry Junior James Physics Senior Submit quiz Class Rank GPA Activities Sophomore 2 3 Basketball Freshman 1 8 Newspaper Freshman 3 6 Drama 1 8 Newspaper 2 3 Baseball 3 1 Drama 2 6 Band 2 5 Football 3 2 Newspaper 1 8 Band

and 2010 Year 2001 2010 1st attempt Part 1 2 points 2001 2010 In the first decade of this century The table below shows the data on the national debt from both 2001 Part 2 1 point Total U S debt billions of 5 807 13 561 Nominal GDP billions of Using the table provided compute the U S debt to GDP ratio in both 2001 and 2010 Give all answers to two decimals be aware that your answer is not a percentage 10 286 14 499 Which of the following are contributing factors for the increase in the debt to GDP ratio See Hint Choose one or more A increased taxes due to changes in the tax code B increased defense spending for wars in Afghanistan and Irag See Hint

8 of 13 30 area 6 Resources Find the area of the given region The area can be expressed as a sum of areas of rectangles triangles or circles Note that the are in the figure is a semicircle 8 Use decimal notation Give your answer to three decimal places ExGive Up Hint Check Answer

2 of 13 In the night sky of October 2015 Jupiter and Venus appeared to be very close neighbors The figure shows the distances in astronomical units from Earth to Venus and Jupiter then How far in miles was Venus from Jupiter at that time By definition 1 astronomical unit is the mean distance from Earth to the sun about 92 96 million miles Jupiter 6 15 Distance Venus 9 86 0 61 Earth Use decimal notation Give your answer to at least one decimal place million miles

of 13 Find the area of the given region The area can be expressed as a sum of areas of rectangles triangles or circles Note that the are in the figure is a semicircle 6 area 40 4 9 4 Use decimal notation Give your answer to at least three decimal places Answer

of 13 In every Major League Baseball field the bases form a square with sides of length 90 feet In Fenway Park the distance from home plate to the fence at straight away center is about 410 feet The center fielder catches the ball with his back against the fence at this point He wants to make a play at third base See the figure How far does he have to throw the ball Home 90 90 distance Third base 410 Center field fence Give your answer to the nearest whole number feet