Sequences & Series Questions and Answers

b 07 c O 62 769 7116 d 11 13 15 56 223 785 60 63 67 70 77 623 1171616 167 211 375

Use the traditional compressed algorithm to find each quotient If a 990 22 45 b 34 c d 44 46 10 RO 933 27 R 15 1050 61 XR 2332 53 RO 3506 75 R 56 SE AEL 251 X

If f is continuous and 0 6 f x dx 18 evaluate f f 3x dx 0

A lamina with constant density p x y p occupies the given region Find the moments of inertia I and I and the radii of gyration X and y the rectangle 0 x 2b 0 y 2h Ix Iy

ind the slope of the line 10x 3y 8 if it exists or write undefined if the slope is undefined You must reduce your answer completely

9 oints TB MC Qu 07 84 Algo Rosewood Company mad Rosewood Company made a loan of 12 600 to one of the comp Rosewood would report in Year 1 and Year 2 respectively

10 1 points Exercise 7 3A Algo Analyzing accou accounting for uncollectible account The following account balances come from the Accounts receivable Allowance for doubtful accounts During the accounting period Ourso recorded

4 TB TF Qu 07 17 Collecting a credit c

Calculate the amount of money in an account that is compounded continuously with a starting deposit of 5000 earning 5 5 over 2 5 years

The area of a rectangular region is increasing at a rate of 20 square feet per hour Which of the following is closest to this rate in square meters per minute Use 1 meter 3 28 feet A 0 03 B 0 10 C 1 09 D 2 03

Each of the frequency tables represents a data set Data Set 1 Value Frequency 3 1 4 0 5 2 6 7 Data Set 2 Value Frequency 3 2 4 3 5 2 1 1 67 6 4 2 7 Which statement best compares the medians of the two data sets A The median of data set 2 is greater than the median of data set 1 B The median of data set 1 is greater than the median of data set 2 C The medians are the same D There is not enough information to compare th medians

8 The ratio of a person s weight on Earth to the person s weight on the Moon is constant An astronaut who weighs 540 newtons on Earth weighs 90 newtons on the Moon Another astronaut weighs w newtons on Earth Which of the following expressions represents this astronaut s weight in newtons on the Moon A 6w B 0 6w C D 6 W W 6 1

Questions 5 and 6 refer to the following information The table shows the prices of 3 items in a certain store on January 15 1913 5 Item Price 1 pound of sugar 0 06 12 eggs 0 37 1 pound of potatoes 0 02 On January 15 1913 Ayana purchased eggs and potatoes for a total of 0 80 She purchased 24 eggs Based on the prices in the table how many pounds of potatoes did she purchase A 3 B 6 C 22 D 40

ax y bxy The given equation relates the positive numbers a b x and y Which equation correctly expresses a in terms of b x and y A a B a bxy y C a bxy y D a X bxy y X bxy y

y y 14x 7 What is the solution x y to the given system of equations A 7 25 B 1 7 C 7 1 D 25 7

a On a diagnostic test one of your students does th 25 x 44 20 80 20 800 920 Explain what the student did wrong Which topics w b On a diagnostic test one of your students does

Done 2 5 x 9 5 AA 55 P PREVIEW ONLY ANSWERS

If f x x x 3x 16x 20 and x 1 is a factor of f x then find all of the zeros of f x algebraically

Find the equivalent expression of 9 5 O 1

19 Simplify the radical 1 10 A B C C 5 5 1 1 125

17 Solve the system by the method of substitution 5x y 5 5x 3y 15 A 0 5 B 5 0 C 5 1 D 1 5

11 Which is the graph of the solution set of the system of inequalities x 2y 10 2x y 0 A C A f x x B x x C D 12 Which function best represents the values in the table below f x 27 1 0 8 125 f x X f x x B X 3 1 0 2 5 D

10 Graph the inequality 4x 2y 3 A C 6 4 6 4 6 4 2 20 4 6 6 4 2 20 4 6 y 2 4 T 6 6 X B D 4 6 4 6 4 20 2 2 6 4 d 19 20 2 4 6 y 2 2 4 4 6 6

9 Find the solution set to the inequality 5x 1 29 A x x5 20rx or 5 B C x 25x x 8 5 8 x 5x52 8 D x x Orx22 or 5

15 What endorsements may be offered to add coverages for recreational vehicles A Miscellaneous Type Vehicle Endorsement B Mobility Scooters Endorsement C Snowmobile Endorsement D A B only E A C only F All of the above G None of the above

Which expression is equivalent to 35y O 513 xy 5 3 3 x y 335 x y 335 O 5 XV3

Which of the following is equivalent to 36 18 O 6 9 18 16 18

Which expression is equivalent to xy O O xy 0 x 3 V 707 19 29

Which expression is equivalent to O 12 12 O 25 10 O 10 O 25 125 125 43

5 Vehicles you may regularly drive but not own are not limited to company provided autos are A Any vehicle you have unrestricted access to B A neighbor s car

Which of the following is equivalent to 16 06 08 O 12 O64 314

Which of the following is equivalent to 60 O 8 1 8 O 60 60 1 2 2

Use the Quadratic Formula to solve the equation x 4x 4x O O 7 x 2 11 or x 2 11 2 11 x 2 11 or x 2 x 2 i 3 or x 2 i 3 O x 2 i 3 or x 2 i 3

A photograph has a length that is 2 inches longer than its width x So its area is given by the expression x x 2 square inches If the area of the photograph is 48 square inches what is the width of the photograph The width of the photograph is inches

Select all the statements that describe the expression 6m 4 The expression represents the difference of 6m and 4 O The expression represents the product of 6m and 4 The expression represents the sum of 6m and 4 The expression represents 4 minus 6 times m The expression represents 6 times m minus 4 Laura knits hats and scarves to sell at a boutique in her town She sells the hats for 5 each and the scarves for 8 each The expression 5z 8 z 3 represents Laura s total sales What is an equivalent expression for Laura s total sales last weekend o 5z 8z 3 o 13x 24 13z 3 o 6x 24 Which equation is equivalent to 3 x 2 0 6 O3z 2 O 3x 6 3x 32

4x 2x 2x 3 2 1 1 Given a division A The Quotient The Remainder Use long division to find

Which expression is equivalent to the expression shown O 3 12 15 O 16 7 C12 3 6 Complete the table to match equivalent expressions 64 8 6 6 81 28 49 36 48 56 64 O What is the value of O 16 81 36 63 64 81 16 729 E OO 000 3 1 000

11 Higher Order Thi kinds of pies Each size He served u served of the an 2

18 A submarine travels at a constant rate If the submarine travels 518 kilometers in 14 hours how many kilometers does the submarine travel in 1 hour A 27 kilometers B C D 37 kilometers 54 kilometers 74 kilometers

An equipment rental company charges a fixed fee of 2 50 and 0 50 per hour Write an equation to show the amount you pay y after a certain number of hours X

The expression 4s can be used to find the perimeter of a square where s represents the length of a side What is the perimeter in inches of a square with a side length of 26 2 inches O 104 8 inches O 102 4 inches 114 8 inches

A store is selling two mixtures of nuts in 20 ounce bags The first mixture has 15 ounces of peanuts combined with five ounces of cashews and costs 6 00 The second mixture has five ounces of peanuts and 15 ounces of cashews and costs 8 00 How much does one ounce of peanuts and one ounce of cashews cost O 0 20 for peanuts and 0 60 for cashews 0 25 for peanuts and 0 45 for cashews O There is no solution 0 45 for peanuts and 0 25 for cashews

Use elimination to solve each system below System 1 3x 4y 6 x 4y 18 Enter the values of x and y in the solution for each system in the following table value of x value of y System 1 System 2 3x 4y 3 4x 3y 10 System

How many solutions does each system have System I 4x 3y 1 12x 9y 21 System II 5x 2y 7 15x 6y 21 Both systems have an infinite number of solutions System I has no solution and System II has an infinite number of solutions System I has an infinite number of solutions and System II has no solution Both systems have no solution

rify the identity algebraically Use a graphing utility to check your result graphically sin cos sin 2 9 e a Product to Sum Formula and then simplify sin cos sin COS

A system of equations has one line with a positive slope and one line with a negative slope Which of the following statements is true The system is consistent The system is inconsistent There is not enough information to know whether the system is consistent or inconsistent The lines are parallel to each other

O O x 273 K Question 4 20 points A car left home at 12 00 noon driving away from the house and is traveling at a rate of speed of 50 miles per hour The distance the car is away from the house could be described by the function d t 50t where is the independent variable in hours after 12 00 noon and t is the lependent variable in miles away from the house Which best describes the DOMAIN of this situational function O x 288 K The set of Integers i e 2 1 0 1 2 The set of Natural Numbers i e 1 2 3 4 The set of All Real Numbers R where 0

Question 2 30 points Two rowing teams from two different prep schools were competing in a rowing competition The team from Wellsford Prep School traveled 3 miles in the same time it took Brevard Prep School to travel 2 miles The Wellsford team rows miles at a rate of 4 faster than Brevard hour Wellsford Brevard 3 miles Question 3 20 points 2 miles How fast was the Brevard Team rowing O 3 miles per hour 4 miles per hour 8 miles per hour O 10 miles per hour

Which pair of words describes this system of equations 3y 9x 6 2y 6x 4 O consistent and dependent consistent and independent inconsistent and independent O inconsistent and dependent

Find the zeros of the polynomial fu f x x x 5 x 9