# Basic Math Questions and Answers

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Basic MathP Flag q A company issuing its annual financial reports within one month of the end of the year is an example of which enhancing quality of account information O a Verifiability O b Comparability O c Understandability O d Timeliness

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Basic MathThe basis for classifying assets as current or noncurrent is conversion to cash within O a the operating cycle or one year whichever is longer O b the operating cycle or one year whichever is shorter O c the accounting cycle or one year whichever is shorter O d the accounting cycle or one year whichever is longer Previous page

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Basic MathTaysir needs 25 000 in 4 years What amount must he invest today if his investment earns 12 compounded annually O a 15 887 95 O b 28 000 O c 39 337 98 O d 37 000

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Basic MathHow many significant figures are there in the result of the calculation below 4 1 7 464 O 2 04 3

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Basic MathA student finds that the weight of an empty beaker is 16 600 g She places a solid in the beaker to give a combined mass of 16 629 g To how many significant figures is the mass of the solid known 3 02 01 n 5 W

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Basic MathThe result of the following calculation has how many significant figures 0 4333 J g C 33 12 C 31 12 C 412 1 g 01 2 03

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Basic Math2 38 A truck traveling at 75 mi h has a braking efficiency of 70 The coefficient of road adhesion is 0 80 Ignoring aerodynamic resistance determine the theoretical stopping distance on a level grade a 340 9 ft 180 6 ft b c d 425 6 ft 338 6 ft

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Basic MathS 2 5 A 3000 lb car has a maximum speed at sea level and on a level paved surface of 140 mi h with 16 inch radius wheels a gear reduction of 3 5 to 1 and a drivetrain efficiency of 92 It is known that at the car s top speed the engine is producing 220 ft lb of torque If the car s frontal area is 25 ft what is its drag coefficient

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Basic Math2 4 A 2650 lb car is traveling at sea level at a constant speed Its engine is running at 4500 rev min and is producing 175 ft lb of torque It has a drivetrain efficiency of 90 a drive axle slippage of 2 15 inch radius wheels and an overall gear reduction ratio of 3 to 1 If the car s frontal area is 21 5 ft what is its drag coefficient S

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Basic MathFor each problem below the magnitude of the horizontal and vertical components of vector V are given In each case find the magnitude of V 27 V 30 Vyl 40 29 Vx 35 0 Vyl 26 0 31 V 4 5 V 3 8 28 V 8 V 6 30 V 45 0 V 15 0 32 Vx 2 2 V 5 8 33 Velocity A bullet is fired into the air with an initial velocity of 1 200 feet per second at an angle of 45 from the horizontal Find the magnitude of the horizontal and vertical components of the velocity vector 34 Velocity A bullet is fired into the air with an initial velocity of 1 800 feet per second at an angle of 60 from the horizontal Find the horizontal and vertical components of the velocity 35 Velocity Use the results of Problem 33 to find the horizontal distance traveled by the bullet in 3 seconds Neglect the resistance of air on the bullet 36 Velocity Use the results of Problem 34 to find the horizontal distance traveled by the bullet in 2 seconds 37 Velocity An arrow is shot into the air so that its horizontal velocity is 35 0 feet per second and its vertical velocity is 15 0 feet per second Find the velocity of the arrow 38 Velocity The horizontal and vertical components of the velocity of an arrow shot into the air are 15 0 feet per second and 25 0 feet per second respectively Find the velocity of the arrow 39 Bearing A ship travels for 135 kilometers on a course with bearing 138 How far east and how far south has it traveled 40 Bearing A plane flies for 3 hours at 230 kilometers per hour on a course with bearing 215 How far west and how far south does it travel in the 3 hours 41 Bearing A plane travels for 175 miles on a course with bearing 18 and then changes its course to 49 and travels another 120 miles Find the total distance traveled north and the total distance traveled east

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Basic Mathpercent relative uncertainty 9 2 10 4 x 5 4 0 3 10 absolute uncertainty ant relative uncerta Incorrect 5 6 0 1 10 Incorrect

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Basic MathRequired information Use the following information for the Quick Studies below Algo The following information applies to the questions displayed below Lawson Consulting had the following accounts and amounts on December 31 Cash Accounts receivable Equipment Accounts payable Common stock Assets Cash 7 500 Dividends 5 000 Services revenue 7 000 Rent expense Accounts receivable Equipment 3 450 Wages expense 15 050 QS 2 17 Algo Preparing a balance sheet LO P1 Use the above information to prepare a December 31 balance sheet for Lawson Consulting Hint The ending Retaine account balance as of December 31 is 1 000 Answer is not complete LAWSON CONSULTING Balance Sheet As of December 31 7 500 5 000 7 000 Liabilities Accounts payable 2 000 13 500 2 500 8 000 Equity Common stock Retained comien 3 450 3 450 15 050 1000

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Basic MathFor each transaction 1 analyze the transaction using the accounting equation 2 record the transaction in journal entry form and 3 post the entry using T accounts to represent ledger accounts Use the following partial chart of accounts account numbers in parentheses Cash 101 Accounts Receivable 106 Office Supplies 124 Trucks 153 Equipment 167 Accounts Payable 201 Unearned Landscaping Revenue 236 Common Stock 307 Dividends 319 Landscaping Revenue 403 Wages Expense 601 and Landscaping Expense 696 a On May 15 DeShawn Tyler opens a landscaping company called Elegant Lawns by investing 87 000 in cash along with equipment having a 47 000 value in exchange for common stock b On May 21 Elegant Lawns purchases office supplies on credit for 620 c On May 25 Elegant Lawns receives 9 500 cash for performing landscaping services d On May 30 Elegant Lawns receives 2 700 cash in advance of providing landscaping services to a customer Complete this question by entering your answers in the tabs below Analyze a General Journal For each of the above transaction analyze the transaction using the accounting equation Note Enter total amounts only b Assets T accounts Liabilities Equity

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Basic MathQuestion 3 Which of the following gives the address pointed to by ptr Optr Optr O address ptr ptr

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Basic MathQuestion 4 1 pts The operator used to access a member function of an object using a pointer to the object is O none of the above is correct

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Basic MathConsider the following statements int i 1 int k 2 int p1 intp2 p1 i p2 k p1 p2 p1 3 p2 4 cout i endl Which of the following is printed by the output statement assume cout works 01 02 3 04 not compile

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Basic MathWhich of the following gives the address pointed to by ptr Optr O ptr address ptr

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Basic Math6 m m B 3 m Es 2 m Fc 3m 1 of 1 Determine the coordinate direction angle of the resultant force acting on the flag pole Express your answer to three significant figures and include the appropriate units B Submit Part D Value Y Request Answer 00 M 6 Determine the coordinate direction angle y of the resultant force acting on the flag pole Express your answer to three significant figures and include the appropriate units Value Units A 11 Units 11

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Basic MathQuestion 15 of 20 3 points I Question Attempt 1 of 1 Determine the domain and range of the function Part 1 of 2 The domain of the function is X 0 0

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Basic Math8 9 10 The solution set is 11 12 13 1 Solve by completing the square and applying the square root property Express the solution set in exact simplest form 4p 12p 3 0 0 6 9

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Basic MathPart 3 of 3 1 c c x x 25 The domain in interval notation is 0 0 0 0 8 X 8 OVO 0 0 0 0

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Basic Mathcompleted so far It does not indicate completion Determine the ending balance of each of the following T accounts Cash 150 350 70 360 Supplies 10 500 1 600 X Answer is complete but not entirely correct Accounts Payable 2 500 3 500 7 800 750 100 110 4 300 Wages Payable 750 0 100 Accounts Receivable 850 Cash 9 500 12 500 850 150 1 200 X 3 500 200 200 200 150 Return to qu 00 6 500 1 800

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Basic Matha a x x 25 The domain in interval notation is Part 2 of 3 b b x 25 x OVO 0 0 0 0 0 0 0 0 8 X

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Basic Mathb j x The domain in interval notation is Part 3 of 3 x 8 2 x 7 c p x x 8 2 x 7 0 0 0 0 0 0 0 0 6 X 5 8

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Basic MathWrite the domain in interval notation x 8 a x x k x 7 x 8 2 x 7 b j x c p x 32 37 x 8 Part 1 of 3 a k x 2 points I Question Attempt 1 of 1 x 8 x 7 The domain in interval notation is

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Basic MathDetermine the ending balance of each of the following T accounts Cash 150 350 70 Supplies 10 500 1 600 Wages Payable 750 100 110 4 300 750 Accounts Payable 2 500 3 500 Accounts Receivable 850 Cash 9 500 12 500 850 150 200 200 200 150 5 000 6 500 1 800

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Basic Matha Use slope intercept form to write an equation of the line that passes through the two given points b Write the equation using function notation where y f x 10 3 and 1 0 Part 1 of 2 The equation of the line in slope intercept form is Part 2 of 2 The equation written using function notation is 0 0 8 0 0 X 010

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Basic MathConsider the following interval the area to the left of z 0 78 LUSE SALT Sketch the area under the standard normal curve over the indicated interval and find the specified area Round your answer decimal places

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Basic MathA small company has 10 000 shares Stephen owns 500 of these shares The company decides to split its shares What is Stephen s percent ownership after the split A 5 OB 1 C 2 D 10

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Basic MathIn the figure above line k is perpendicular to line 1 Which of the following is a point on line k 3 2 2 3 o 2 3 0 3 2

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Basic MathA football is thrown by a quarterback to a receiver The points in the figure show the height of the football in feet above the ground in terms of its distance in yards from the quarterback Use this information to solve the problem Football s Height Above the Ground feet 14 12 10 4 CA ZA OB 24 0 B 0 REC B 16 24 32 40 48 56 64 72 60 Distance of the Football from the Quarterback yards Q Find the coordinates of point A Type an ordered pair Type integer

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Basic Mathr q p p g r p formula is a tautology 2 How many elements ne 101 102 1000 satisfy the following state ment n is divisible by 5 or by 6 and n is not divisible by 9 3 Prove that the relation R defined on the set X Z by mRn3m 7n2 is divisible by 10 is an equivalence relation Determine its equivalence classes 5 R 2024 R How many different equivalence classes does this relation have 4 Let f n 3n 5 and g n n be two fungtin the functions

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Basic Math4 Let f n 3n 5 and g n n be two functions defined on Z Which of the functions f g fog gof are injective Please explain precisely why 5 Show that the operation r y x y xy is commutative associative and distributive with respect to x y x y 1 Which element is the inverse of 4 with respect to

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Basic MathThe following figure shows the four possible configurations of a double red B 4 The following figure shows the rearrangement that fixes the Double Red violation sider this tree that was obtained by inserting J into a red black tree using the algorithm fo ary search tree and coloring the new node red We now have a double red violation C F G K J 12 H OG What is the right child of F after the rearrangement OK H OG What is the left child of J after the rearrangement OK OJ What is the left child of H after the rearrangement OK OJ OH

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Basic MathQuestion 28 of 28 1 point 1 Question Attempt 1 of Unlimited Determine the average rate of change of the function on the given Interval Express your answer in exact simplest form f x x 1 Part 1 of 3 a on 2 0 The average rate of change of the function is Part 2 of 3 b on 2 5 The average rate of change of the function is 00

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Basic MathA student decides to finance a used car over a 6 yr 72 month period After making a down payment of 1000 the remaining cost of the car including tax and Interest is 15 192 The amount owed y A t in S is given by A t 15 192 211 t where t is the number of months after purchase and Ost 72 Determine the t intercept and y intercept and interpret their meanings in context Amount Owed on Vehicle after r Months Amount Owed Part 0 4 Part 1 of 4 12000 4000 2000 O A 15 192 211 Number of Months t

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Basic MathSolve by completing the square and applying the square root property Express the solution set in exact simplest form 2y y 2 6 3y

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Basic Mathcomes to playing basketball and tall people are more efficient because they can ch the basket easily allowing for more points per game as well as more rebounds and blocked shots If you watch National Basketball Association NBA games regularly you certainly notice that many players are quite tall We will explore the distribution of NBA player heights using a sample of players active in the 2019 2020 season by making a histogram of HEIGHT INCHES with bins stating at 68 inches and bin width of 2 inches We will then determine the z scores for players who are 71 inches 5 11 and b 84 inches 7 0 The dataset consists of the NBA player s name team and height measured in inches for players active in the 2019 2020 season Aaron Gordon Player Aaron Holiday Adam Mokoka Abdel Nader Admiral Schofield WAS Z Variable symmetric Numerical Variable Team Height Inches ORL Data value a x x S IND LUSE SALT OKC Import the dataset into SALT for analyzing Data value b x x CHI After you have clicked the tab for your selected topic and read the problem answer the questions below a Use SALT to summarize the data and fill in the following table rounding values to four decimal places as needed Data value a is N 80 529 73 77 77 77 b Create a histogram with Starting Point and Bin Class Width values asked for The distribution for this variable is mound shaped and is Mean 78 393 Our sample s minimum value is not Standard Deviation 3 4505 c Determine the relative standing for the two data values of interest using the z score formula appropriate for samples Round your answers to two decimal places standard deviations below Median 78 Find the data value with a z score of 3 rounded to two decimal places x 2 5 X Minimum Value standard deviations above to determine the number of standard deviations each data value is away from the mean Find the data value with a z score of 3 rounded to two decimal places X Z S X 69 the mean whereas data value b is the mean Remember to take the absolute value of the z scort maximum is histogram in SALT it can be observed that almost all A Maximum Value 89 d Most data points are within three standard deviations of the mean In other words most observations will have a score that is larger than 3 and less than 3 at least roughly further than 3 standard deviations below the mean Our sample s further than 3 standard deviations above the mean Upon further inspection of the observations would have a z score between 3 and

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Basic MathMake an appropriate substitution and solve the equation 9x 3 3 9x 3 108 0 The solution set is 0 0

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Basic Mathin pounds lbs We will treat a subset of this dataset as a representative sample of realized values for our random variable The first five rows of the data look like this Weight in lbs 4 9 12 0 9 2 9 5 6 1 Import the dataset into SALT for analyzing After you have clicked the tab for your selected topic and read the problem answer the questions below a Create a histogram in SALT to determine if the distribution of our sample is mound shaped and symmetric with no outliers When a data s distribution is mound shaped and at least roughly symmetric with no outliers a normal distribution can be used to model the variable s behavior USE SALT Since the histogram for our sample is mound shaped and is O at least roughly symmetric with no outliers the normal distribution can be used to approximate the behavior for this random variable b Locate the sample mean and standard deviation for our variable Round your answers to four decimal places X X S c Draw the normal distribution with a mean of x and a standard deviation of s on SALT s Distribution Calculators page Round your answers to two decimal places The random variable value that is predicted to be one standard deviation above the mean is The random variable value that is predicted to be two standard deviations below the mean is The random variable that is predicted to have a z score of 3 00 is X x x x d Use the Probability and Z Score sections on the left panel and radio buttons on the right panel to answer the following questions Remember to convert the percentage to a proportion before entering the value into SALT Round your answers to four decimal places Approximately 2 8 of values for our random variable are predicted to be larger than what value Approximately 90 of values for our random variable are expected predicted to be centered around the mean with a lower value of X and an upper value of The Z scores for these two values are Z X and z e How well is the normal distribution modeling the random variable represented by our sample data Use SALT s data filters and Descriptive Statistics page to answer the following questions In part d you found the boundary values where the normal model predicts the middle 90 of data values are located Use the filters on the Dataset page to filter out observations that are outside of this range then return to the Descriptive Statistics page to locate the number of sample values within this region There are sample values within this region Remove the filter and return to the Descriptive Statistics page There are values in the entire sample Use these two counts to determine the actual proportion of sample values within this region Rounded to three decimal places the proportion of sample values within this middle region is How different are the actual and predicted proportions Subtract the predicted proportion from the actual proportion and take the absolute value of the result to determine how different they are Calculate the following quantity difference in proportions actual proportion predicted proportion Also in part d you found the boundary value that the normal model predicts 2 8 of values are larger than Enter this value into SALT s data filter and determine the number of sample values that meet this criteria There are sample values within this region Use this count and the size of the sample to determine the actual proportion of sample values within this region Rounded to three decimal places the proportion of sample values within this region is How different are the actual and predicted proportions Subtract the predicted proportion from the actual proportion and take the absolute value of the result to determine how different they are Calculate the following quantity difference in proportions actual proportion predicted proportion

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Basic MathAndrea Apple opened Apple Photography on January 1 of the current year During January the following transactions occurred and were recorded in the company s books 1 Andrea invested 13 500 cash in the business 2 Andrea contributed 20 000 of photography equipment to the business 3 The company paid 2 100 cash for office furniture 4 The company received 5 700 cash for services provided during January 5 The company purchased 6 200 of office equipment on credit 6 The company provided 2 750 of services to customers on account 7 The company paid cash of 1 500 for monthly rent 8 The company paid 3 100 on the office equipment purchased in transaction 5 above 9 Paid 275 cash for January utilities Based on this information the amount reported as Owner Capital on the balance sheet at month end would be Multiple Choice 31 400 39 200

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Basic MathSanborn Company has 10 employees who earn a total of 2 100 in salaries each working day They are paid on Monday for the five day workweek ending on the previous Friday Assume that year ended December 31 is a Wednesday and all employees will be paid salaries for five full days on the following Monday The adjusting entry needed on December 31 is Multiple Choice Debit Salaries Expense 6 300 credit Salaries Payable 6 300 Debit Salaries Expense 4 200 credit Salaries Payable 4 200 Debit Salaries Expense 10 500 credit Salaries Payable 10 500 Debit Salaries Payable 6 300 credit Salaries Expense 6 300 Debit Salaries Expense 6 300 credit Cash 6 300 T