Math - Others Questions

2 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

On the following graph AD represents the initial aggregate demand curve in a hypothetical economy and SRAS represents the initial aggregate supply curve The economy s natural real GDP is 12 billion PRICE LEVEL 304 900 NRGOP AD O AD ADA AD 12 REAL GOP ons of dan The initial short run equilibrium level of real GDP is 21 100 103 104 SRAS Suppose the government seeking full employment borrows money and increases its expenditures by the amount it believes necessary to close the output gap According to critics of Keynesian fiscal policy which curve in the previous graph will most likely be the new aggregate demand curve 1 10 billion 14 billion 12 billion 2 and the initial short run equilibrium price level is

0 38 Af 20 p 0 002378 slugs ft is driven on a surface with a coefficient of adhesion of 0 5 and the coefficient of rolling friction is approximated as 0 015 for all speeds Assuming minimum theoretical stopping distances if the vehicle comes to a stop 260 ft after brake application on a level surface and has a braking efficiency of 0 82 what was its initial speed a if aerodynamic resistance is considered and b if aerodynamic resistance is ignored 500 16

S 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

2 7 A 3400 lb car is traveling in third gear overall gear reduction ratio of 2 5 to 1 on a level road at its top speed of 130 mi h The air density is 0 00206 slugs ft The car has a frontal area of 19 8 ft a drag coefficient of 0 28 a wheel radius of 12 6 inches a drive axle slippage of 3 and a drivetrain efficiency of 88 At this vehicle speed what torque is the engine producing and what is the engine speed in revolutions per minute

2 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

For 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

25 to 69 beats per minute Let x be a random variable that represents the resting heart rate for an adult horse Assume that x has a distribution that is approximately normal USE SALT a The empirical rule indicates that for a symmetric and bell shaped distribution approximately 95 of the data lies within two standard deviations of the mean 95 20 Therefore a 95 range of data values extending from 4 20 to 20 is often used for commonly occurring data values Note that the interval from 20 to 20 is 40 in length This leads to a rule of thumb for estimating the standard deviation from a 95 range of data values 20 Estimating the standard deviation For a symmetric bell shaped distribution standard deviation range high value low value where it is estimated that about 95 of the commonly occurring data values fall into this range Use this rule of thumb to estimate the standard deviation of x distribution in beats per minute 11 beats per minute b What is the probability that the heart rate is less than 29 beats per minute Round your answer to four decimal places 0 0505 c What is the probability that the heart rate is greater than 61 beats per minute Round your answer to four decimal places 0 10156 d What is the probability that the heart rate is between 29 and 61 beats per minute Round your answer to four decimal places e A horse whose resting heart rate is in the upper 10 of the probability distribution of heart rates may have a secondary infection or illness that needs to be treated What is the heart rate corresponding to the upper 10 cutoff point of the probability distribution Round your answer to the nearest whole number

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

Required 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

For 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

5 3 Suppose there is a simple index of three stocks Stock X opens the day with 2000 shares at 3 80 per share Stock Y the day with 1000 shares at 3 50 per share Stock Z opens the day with 3000 shares at 4 30 per share This simple index rises 5 4 over the course of th day What is the value of the index at the end of the day Round your answer to the nearest hundred OA 24 600 B 25 800 O OC 24 000 6er 200

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

Draw vectors representing the course of a ship that travels 9 75 miles on a course with bearing 30 10 75 miles on a course with bearing 330 11 25 miles on a course with bearing 135 12 25 miles on a course with bearing 225 13 Heading A boat is crossing a river that runs due north The heading of the boat the direction the boat is pointed is due east and it is moving through the water at 12 0 miles per hour If the current of the river is a constant 3 miles per hour find the true course of the boat to three significant digits 14 Heading A boat is crossing a river that runs due east The heading of the boat is due south and its speed is 11 0 feet per second If the current of the river is 2 feet per second find the true course of the boat to three significant digits 15 Heading An airplane is headed N 30 0 E and is traveling at 200 miles per hour through the air The air currents are moving at a constant 30 miles per hour in the direction N 60 0 W Find the true course of the plane That is find its speed with respect to the ground in miles per hour and its direction with respect to the ground Use three significant digits

Which of the following is the correct way to declare a pointer O int ptr O int ptr O Pointer ptr O All of the above is correct O none of the above is correct

Question 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

Question 2 Which of the following give the value stored at the address pointed to by ptr Optr ptr val ptr

Question 5 1 pts Which of these is the correct way to allocate a dynamic memory location for an integer O int x new int O int x new int O int x int new

Question 9 N Consider the following statements int p int i int k i 37 k i p i After these statements which of the following will change the value of i to 75 Ok 75 O k 75 O p 75 O p 75 OTwo or more of the answers will change i to 75

Consider 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

Consider the following lines of C int X Y int z 10 x z y x x 15 cout z is Z endl What is their result Print z is 10 to standard out Print z is 15 to standard out The code will not compile due to a type error None of these options describes the behavior of this code

Question 6 Which of the following is a pool of memory used for dynamic memory allocation O Dump O Heap Reserve 1 pts O Stack

Question 10 Given the following definition and initialization complete the statement below using the pointer raptor to call the public member function getDino for the object Assume the function s return type is string Dinosaur raptor new Dinosaur Raptor string name write the code to complete this statement here

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

Question 7 What common bug is shown in the following code snippet int foo foo 5 syntax error O type mismatch O uninitialized pointer O None of the above phrases describes the bug

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

6 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

In the following problem check that it is appropriate to use the normal approximation to the binomial Then use the normal distribution to estimate the requested probabilities It is known that 77 of all new products introduced in grocery stores fail are taken off the market within 2 years If a grocer store chain introduces 61 new products find the following probabilities Round your answers to four decimal places LUSE SALT a within 2 years 47 or more fail b within 2 years 58 or fewer fail c within 2 years 15 or more succeed d within 2 years fewer than 10 succeed

Factor completely 1 9 1 20 X

Use the graph of y f x to answer the following 7 in to 4 3 2 m A 2 3

3 Part 2 of 8 b Determine f 3 f 3 3 Part 3 of 8 X X c Find all x for which f x 1 If there is more than one value separate them with commas or write your answer in interval notation if necessary Select None if Value s of x for which f x 1 0 0 0 0 0 0 0 0 0 0

25 to 69 beats per minute Let x be a random variable that represents the resting heart rate for an adult horse Assume that x has a distribution that is approximately normal USE SALT a The empirical rule indicates that for a symmetric and bell shaped distribution approximately 95 of the data lies within two standard deviations of the mean 95 20 20 Therefore a 95 range of data values extending from 20 to 20 is often used for commonly occurring data values Note that the interval from 20 to 20 is 40 in length This leads to a rule of thumb for estimating the standard deviation from a 95 range of data values Estimating the standard deviation For a symmetric bell shaped distribution standard deviation range high value low value where it is estimated that about 95 of the commonly occurring data values fall into this range Use this rule of thumb to estimate the standard deviation of x distribution in beats per minute beats per minute b What is the probability that the heart rate is less than 29 beats per minute Round your answer to four decimal places c What is the probability that the heart rate is greater than 61 beats per minute Round your answer to four decimal places d What is the probability that the heart rate is between 29 and 61 beats per minute Round your answer to four decimal places e A horse whose resting heart rate is in the upper 10 of the probability distribution of heart rates may have a secondary infection or illness that needs to be treated What is the heart rate corresponding to the upper 10 cutoff point of the probability distribution Round your answer to the nearest whole number minuta

Question 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

8 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

Part 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

completed 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

Test 1 You MUST UPLOAD YOUR WORK FOR PROBLEMS 1 to 6 TO Question 6 of 20 10 points Question Attempt 1 of 1 The function given by y x shows the average monthly temperature F for Riga The value of x is the month number and x 1 represents January Average Monthly Temperature for Riga Part 1 of 2 Temperature F 3 30 5 52 9 54 of change in temper Month x 1 represents January 11 35 x 1 1 a Find the average rate of change in temperature between months 3 and 5 March and May months 3 and 5 Mare Time Remaining 1 31 F month

a 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

b 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

Write 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

Determine 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

Let x be a random variable that represents white blood cell count per cubic milliliter of whole blood Assume that x has a distributi that is approximately normal with mean 7 600 and estimated standard deviation 1 700 A test result of x 3 500 is an indication of leukopenia This indicates bone marrow depression that may be the result of a viral infection LUSE SALT a What is the probability that on a single test x is less than 3 500 Round your answer to four decimal places b Suppose a doctor uses the average x for two tests taken about a week apart What can we say about the probability distribution of x The probability distribution of x is approximately normal with The probability distribution of x is not normal The probability distribution of x is approximately normal with 7600 and The probability distribution of x is approximately normal with 7600 and What is the probability of x 3 500 Round your answer to four decimal places 7600 and 850 1700 1202 0815 c Repeat part b for n 3 tests taken a week apart Round your answer to four decimal places

a 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

Prove that the sum of any two even integers is even

1 2 Solve the equation 4 n 2n 6 1 The solution set is 3 0 0 6 0 0 1

Use the graph of y f x to answer the following Part 1 of 8 3 a Determine f 3 f 3 2 X

Consider 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

21 Prove That 24 51 4 h 1 for n 71

A 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

In 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