Sequences & Series Questions and Answers

f 1 x x 2 3 14x 3 17 ine the domain for which this inverse function w our answer as an inequality

In an editorial the Poughkeepsie Journal printed this statement The median price the price exactly in between the highest and lowest Does this statement correctly describe the median Why or why not Choose the correct answer below O No It describes the midrange not the median O No It describes the mean not the median O Yes It correctly describes the median O No It describes the mode not the median

Find the mean median and mode of the set of values The table has ages is years across the 1st row and the number of times or frequency of that age in the 2nd row Age years frequency 4 12 13 11 The median is Select 15 14 The mean is approximately Select The mode is Select Select 14 13 15 15 16 10 years years 17 6 18 4 years

These signs give information about two differ Study these signs carefully Then answer the questions and complete the statements about them below Use the drop down menus to complete each statement In which town does the total number have meaning neither both Town A Town B it ns The number 4 149 make sense to add people feet and years because these quantities Town A Population 962 Feet Above Sea Level 1 238 Year Established 1949 Total 4 149 Town B Men 962 Women 1 238 Children 1 949 Total 4 149 CLEAR CHECK be expressed using the

Write an equivalent logarithmic equation Enter in your answer as a whole number or as a fraction 1st box represents the base 2nd box represents the statement 3rd box represents the exponent or power 10 0 0001 log

Write an equivalent exponential equation Enter in your answer as a whole number or as a fraction 1st box represents the base 2nd box represents the exponent or power 3rd box represents the statement loga 3

Write the slope intercept equation of the function f whose graph satisfies the given conditions The graph of f passes through 8 9 and is perpendicular to the line that has an x intercept of 2 and a y intercept of 4 The equation of the function is Use integers or fractions for any numbers in the equation

A savings account pays a 3 nominal annual interest rate and has a balance of 1000 Any interest earned is deposited into the account and no further deposits or withdrawals are made If interest is compounded semi annually every six months what interest rate would be used for each calculation

Shinna was riding The Screamer when it broke down Her seat was 53 horizontal feet from the central support pole What was her seat s angle of rotation How can you tell

Find the required annual interest rate for 5100 to grow to 6300 if interest compounded quarterly for 7 years Round to nearest hundredth of a percent 14 04 Answer 1

Question 3 Graph the equation below y 2x 6 Line 10 18

When 2x35x 7x 1 is divided by x 1 what is the remainder 03 04 h 3 O 4

Divide using synthetic division x 7x 3 x 2 x 9 Ox 5 x 5 13 2 5 Ox 9

Simplify the following expression by dividing 20a 12a 8a 4a Sa 12a 8a 16a s 8a 5 4a 20a 3a 8a Sa 3a 2a

Transcribed image text Instructions 1 The solution can be handwritten or digitally typed 2 Be sure to write down the process of your work 3 If the solution is handwritten be sure to scan or take the picture of your solution and put it into 1 single pdf file 4 File name format AssistantCode HW9 NPM pdf 5 Submit your works on SCLE 1 Design a register A with B as input register and the following register transfer a CO 4 AAB b C1 1 AVB Find the optimal logic using AND OR NOT gate for input of D flip flop 2 Design a register X with A as input register and the following register transfer a CO XAVX b C1 XXAA You must use multiplexer and register to create the design

24 Joseph and Devan were 230 miles apart Joseph started toward their meeting place at 1 00 p m traveling at 35 mph Devan left at 3 00 p m and traveled 10 mph faster than Joseph When did they meet 25 How far did each person in 24 travel abnung zu zonu 00 O M

22 Traveling at a rate of 60 mph Angie took one hour to get to the city this morning Coming home by the same route she was able to travel at only one third of her morning rate because of traffic How far is it to the city How long did it take Angie to drive home

Simplify 12x x 75x O 7x 3 10x 3 2x 3 5x 3 2x 3 3x 5

3 A set of living room furniture is being discounted 20 If the original price was 2 345 what is the new price

Tracking employee information through global positioning systems GPS in particular on company vehicles driven by employees is becoming commonplace Location information is transmitted to a server via the cell phone network and sometimes via satellite phone service and is then available to the company through the web or mobile apps As the cost of GPS drops and the number of mobile workers rises by some accounts to as much as 75 percent of the workforce by 2020 companies are depending on GPS to monitor the movement of personnel and products to improve customer service and help with time management I wanted to see how much time was spent on each job says one small business owner with a fleet of seven service vehicles We ve had a few problems in the past people weren t where they said they d be With GPS we can defend ourselves to the customers We know how fast the drivers drove what route they took and how long they spent on each job Late in 2017 four wastewater plant mechanics employed by the city of Modesto California were fired after GPS showed they used work hours to socialize at the lift stations with each other go home shop sleep and drive around in the City utility vehicle Companies are not only tracking vehicles but many now track employees through their mobile phones Understandably many employees don t like the idea of Big Brother following their every move most states allow employers to track their employees location even in off hours Many employees take their company vehicles home after their shifts but even employees with company owned phones may be tracked after hours too Surveys show that many GPS tracked employees have serious concerns about after hours tracking micromanagement and privacy https www tsheets com gps survey In 2015 a woman in California sued her employer claiming that she was tracked 24 hours a day through her company issued iPhone And when she uninstalled the tracking app she was fired Using a web search tool locate articles about this topic and then write responses to the following questions Be sure to support your arguments and cite your sources Ethical Dilemma Do GPS devices constitute an invasion of employee privacy Are there guidelines companies can develop for appropriate GPS use Sources Kevin Valine Modesto Disciplines Sewer Workers for Goofing Off The Modesto Bee http www modbee com January 1 2018 Kaveh Waddell Why Bosses Can Track Their Employees 24 7 The Atlantic https www theatlantic com January 6 2017 Andrew Burger IDC Mobile Workers Will Make Up Nearly 75 Percent of U S Workforce http www telecompetitor com June 23 2015 David Kravets Worker Fired for Disabling GPS App That Tracked Her 24 Hours a Day Ars Technica https arstechnica com May 11 2015

grade AA 4 S Find the y inter Write your answ

b A vehicle is traveling 45 miles per hour Its speed increases by 3 miles per hour each second Is the vehicle traveling at a legal speed after 6 seconds Yes No Previous

Q Question 8 of 10 Question 8 In the direct variation equation y A slope

Two dice one red one green are thrown and the numbers facing up are noted The event that neither number exceeds two A 1 1 1 2 2 1 2 2 B 2 3 4 C The set of all pairs of distinguishable integers that do not exceed two None of these D E The set of pairs of integers that do not exceed two F 1 1 1 2 2 2

Marie works for an Instagram account selling ads She receives 3 for selling the first ad 3 25 for the second 3 50 for the third and so forth How much money will she earn by selling 100 ads

Which line is perpendicular to Y Y 1 X 2 Select one O a none of the above O b Y 4X 3 O C Y X 2 O d Y 2X 2

each graph shown Determine whether the graph represents a proportional or non proportional relationship Write an equation in the form y mx or y mx b to represent the relationship between the independent and dependent quantities Distance miles YA 200 150 100 50 1 2 3 4 5 6 7 8 9 10 Time hours 8 6 1864N ON y 2 2 0 2 4 6 8 2 4 6 8 X Amount of Water Remaining in Container cm NASKO YA 20 184 14 2 4 6 8 10 12 14 16 1820 Time days YA 8 6 4 2 8 6 4 20 2 4 6 8 2 4 68 X STRETCH Optional Create a table of values for the equation y x Use the points with x values of 0 1 3 and 3 to create triangles with the length of each base equal to 1 unit Describe the relationship between the heights of the resulting triangles reasoning

Find the present value that will grow to 45 000 if the interest is 3 6 compounded monthly for 1 year Round to 2 decimals when necessary

Find the required annual interest rate for 5000 to grow to 8400 if interest is compounded quarterly for 5 years Round to the nearest hundredth of a percent

Solve the equation Enter answer in as a whole as a fraction or as a decimal rounded to 5 places when necessary If there are multiple solutions then you a comma to separate them 125 5 X

Find the required annual interest rate for 898 to grow to 1511 if interest is compounded monthly for 2 years Round to nearest hundredth of a percent

Find the future value if 56 780 is invested and compounded continuously at 5 3 for 15 yr Round to 2 decimals when necessary

Suppose 10 000 is invested at annual rate of 5 for 10 years Find the future value of the interest is compounded annually Round to 2 decimals FV

Find the present value that will grow to 5 000 if the interest is 3 5 compounded quarterly for 10 years Round to 2 decimals when necessary

If g x then find the following Enter your answer in as a whole number or as a fraction g 2

If g x 4 then find the following Enter your answer in as a whole number or as a fraction g 3

If 5 000 is invested in an account at 4 annual interest compounded continuously how much will be in the account in 8 years if no money is withdrawn Round to 2 decimals

Use the values of a and S to find the value of an 8 and S30 3420 a30 a

Suppose that we are given a series The radius is R n 1 an and we use the Ratio Test to determine that the radius of convergence is 16 Using this information determine the radius of convergence R for the power seri n 1 1 6x 6 2

5 Use the fact that opposite sides of a rectangle are parallel from 7 7 to PROVE that the diagonals of a rectangle are congruent H Statements What K Justification Why

Find the arithmetic mean an of the given terms an 1 8 an 1 3 The arithmetic mean an is Simplify your answer

54 Find the coordinates of points P and Q on the unit circle at right 110 50

3 For each function below state the location of any discontinuities identify each as holes or vertical asymptotes and state the equation of any horizontal asymptotes B f x 2x 4 A f x x2 16 c f x x 1 X 1 x 1 x 3x 2 D f x x 3x

Raina deposits 60 000 into an account that pays simple interest at a rate of 3 per year Hong deposits 60 000 into an account that also pays 3 interest per year But it is compounded annuall Complete the table below by giving the interest each person will earn for each year a Interest earned during the first year b Interest earned during the second year c Interest earned during the third year Raina s account Simple interest SO 0 0 Hong s account Interest compounded annually 0 0

3 2 4 12 5 6 express your answer in the form AVB CVD A B C and D are all integers and B D wer A B C and D

A chunk of gold is found It weighs 4 1 g If the price of gold is currently 0 07 per mg what is the value of the piece of gold

The weight W of a plastic water tank is modeled by W 8 5787 64 W total weight of the water tank measured in pounds G is the size of the water in the tank me in gallons and 64 pounds is the weight of the empty tank Find the number of gallons that can be hauled by a track capable of holding one ton 2000 pounds rounded to the nearest gan

2 2 2 5 points A sequence is defined recursively by the given formula an an 2 2an 1 2 a 8 a 4

075 b c 2 3 2 x 4 1 29 37 199 75 2 32 x 4 1 29 37 99 O 75 d 2 3 x 4 1 O 29 37 99 75 Need Help Read It Wal

Write each expression as a sin a 75 76 b 4911 1430 711 1411 730 119 112 1111 1 1 17