Questions

The discussion forums in this class focus on your awareness and development of the soft skills necessary to be successful in the 21st century job market Keep in mind that the more effort you put into your development of these skills the more successful you will be in the workplace This Employability Skills discussion forum series is designed to help you begin your journey towards acquiring and developing these skills Assignment In the discussion forum answer the following questions 1 Please reflect over the past two weeks When have you needed to adapt to a change that occurred in your professional life during this time frame Please describe the circumstance I transferred 2 Was adapting to this change easy or difficult Why schools but taking the same business program at my new school 3 In reflection what would you have done differently 4 What did you learn from this circumstance that will help you adapt to change in the future

Perform the Indicated division Check your answer by confirming that dividend divisor quotient remainder If there is no tem 25y9y2 1 5y y 1 quotient remainder

y x x 16 a Find the zeros algebraically Enter your answers as a comma separated list If there are no real zeros enter DNE X b Use a graphing utility to graph the function y 40 20 MA 2 2 6 20 40 6 6 4 4 y 40 20 20 40 2 4 X X 6 6 4 4 2 40 y 20 20 40 y 40 20 20 40 2 2

Write an equation for the parabola in standard form Use a graphing utility to graph the equation and verify your result f x 10 5 3 2 10 5 0 7 5 10 X

Write the quadratic function in standard form f x x 18x 76 f x Sketch its graph 15 10 5 15 10 5 axis of symmetry x intercept x f x f x x f x 15 10 5 5 10 15 f x 15 10 5 5 10 5 15 5 10 10 15 15 X X 15 10 5 smaller x value 15 10 5 f x 15 10 5 5 10 15 O Identify the vertex axis of symmetry and x intercept s If an answer does not exist enter DNE vertex f x 15 10 5 5 10 15 5 5 10 10 15 15

What is the volume of the sphere shown below OA 4000 units OB 400 units 3 OC 400 units 4000 3 O D 3 units ww 10

A patient in a hospital estimates her pulse rate by taking her pulse for 15 seconds and multiplying it by four She measures he pulse to be 68 beats per minute Later a nurse uses a vital signs monitor to measure the patient s pulse rate at 76 beats per minute a Compute the absolute error Simplify your answer completely AE Interpret the result The patient s pulse estimate had this much percent error from her measured pulse The patient s pulse estimate was off by this many beats per minute from the measured pulse The patient s pulse estimate was off by this much relative to her measured pulse The patient s pulse was increasing by this amount each minute The patient should have multiplied by this value rather than four to get her estimate b Compute the relative error Round to three decimal places Simplify your answer completely RE Interpret the result The patient s pulse estimate had this much percent error from her measured pulse The patient s pulse estimate was off by this many beats per minute from the measured pulse The patient s pulse estimate was off by this much relative to her measured pulse The patient s pulse was increasing by this amount each minute The patient should have multiplied by this value rather than four to get her estimate

The ratio of the lengths of corresponding parts in two similar solids is 2 1 What is the ratio of their surface areas OA 8 1 OB 2 1 O C 4 1 O D 6 1

En APA style you must round to two decimal places in almost every case Please practice below 3 Round off the following numbers to two decimal places assume digits to the right of those shown are zero a 144 0135 b 67 245 c 99 707 d 13 345 e 7 3451 5 9817 g 5 997 4

What is the surface area of the right prism given below A 420 units OB 840 units2 C 480 units OD 298 units2 5 12 14

se a graph of g to estimate lim g x or to show that the limit does not exist Evaluate g x near x a to support y X 8 onjecture g x 9x 9x 1 a 0 Q Q Q A The limit appears to be approximately Round to the nearest tenth as needed Q ach graph is displayed in a 1 1 by 0 60 window se the graphing utility to estimate lim g x Select the correct choice below and if necessary fill in the answer x 0 omplete your choice

Worldwide t shirt exports had a total value of 46 500 000 000 for a particular year Of this amount approximately exported in that particular year Round the answer to the nearest hundred million dollars Choose the correct answer below OA The value of cotton t shirts exported in that particular year was about 6 610 000 000 OB The value of cotton t shirts exported in that particular year was about 660 000 000 OC The value of cotton t shirts exported in that particular year was about 661 000 000 OD The value of cotton t shirts exported in that particular year was about 6 600 000 000 1 came from cotton t shirts Worldwide what was the value of cotton t shirts 7

Question 15 38 118 NOTE The triangle is NOT drawn to scale Answer the following Round your answer to 3 decimal places as needed 31

Use a graph of f to estimate lim f x or to show that the limit does not exist Evaluate f x near x a to support you X a conjecture f x OA cos 2x 2 3 x 1 a 1 B O C Q M M L L Q G OA The limit appears to be approximately Round to the nearest tenth as needed B The limit does not exist Q Q G Each graph is displayed in a 1 3 by 0 3 window Use the graphing utility to estimate lim f x Select the correct choice below and if necessary fill in the answer box to X 1 complete your choice

A cyclist is riding their bicycle on flat terrain at a speed of 16 miles per hour The wheels on the bike have a diameter of 26 inches Remember 1 mile 5280 feet Round your answers to the nearest hundredth place as needed a Find the angular speed of the wheels Select an answer b How many revolutions per minute rpm do the wheels make Select an answer

Find a formula for the general term an of th erms continues 10 10 3 2 10 10 10 9 27 81 Assume the first term is a

Use the graph of f to complete parts a through I If a limit does not exist explain why 7 6 5 2 Part 6 of 12 1 2 3 X 57 points Points 0 33 of 1 and fill in the answer box if necessary A lim f x 1 X 1 Type an integer or a fraction OB The limit does not exist because lim f x lim f x X 1 X 1 e Find f 3 Select the correct choice below and fill in the answer box if necessary A f 3 1 Type an integer or a fraction OB The value of f 3 is undefined Save f Find lim f x Select the correct choice below X 3 and fill in the answer box if necessary OA lim f x X 3 Type an integer or a fraction OB The limit does not exist because f x is not defined for all x 3

Clarice goes to a local home improvement store to purchase new carpet and to have the new carpet installed in a room Clarice says the room is approximately 400 square feet Installers arrive and after taking measurements determine that the room is 378 square feet a Compute the absolute error Simplify your answer completely AE Interpret the result The square footage of Clarice s carpet was increased by this amount Clarice s approximation was off by this much relative to the measured square footage of the room Clarice s approximation had this percent error Clarice s approximation was this many square feet off of the measured square footage of the room This is the ratio of Clarice s approximation to the measured square footage of the room b Compute the relative error Round to three decimal places Simplify your answer completely RE Interpret the result The square footage of Clarice s carpet was increased by this amount Clarice s approximation was off by this much relative to the measured square footage of the room Clarice s approximation had this percent error Clarice s approximation was this many square feet off of the measured square footage of the room This is the ratio of Clarice s approximation to the measured square footage of the room

A snack bag of potato chips is advertised as weighing 1 5 ounces Suppose a bag of potato chips is selected at random from a snack pack and weighs 1 7275 ounces Compute the percent error rounded to the nearest hundredth Simplify your answer completely PE Using the 5 guideline was the advertised weight an accurate estimate Since this percent error is less than 5 we see that the advertised volume was a good estimate Since this percent error is less than 5 we cannot determine if the advertised volume was or was not a good estimate Since this percent error is greater than 5 we see that the advertised volume was a good estimate Since this percent error is greater than 5 we see that the advertised volume was not a good estimate Since this percent error is less than 5 we see that the advertised volume was not a good estimate

Use a graph off to estimate lim f x or to show that the limit does not exist Evaluate f x near x a to support you X B conjecture f x 1 cos 2x 2 3 x 1 a 1 Use a graphing utility to graph f Select the correct graph below O A O C Q B Q MME Each graph is displayed in a 1 3 by 0 3 window Q OD

Janyss purchases a new car and the salesperson s quick check estimates that the monthly payment on the car will be 454 93 When the monthly payment bill arrives it is 469 Compute the percent error Simplify your answer completely PE Determine whether the quick check estimate was a good estimate using the 5 guideline Since this percent error is greater than 5 we see that the quick check estimate was not a good estimate Since this percent error is less than 5 we see that the quick check estimate was not a good estimate Since this percent error is less than 5 we see that the quick check estimate was a good estimate Since this percent error is greater than 5 we see that the quick check estimate was a good estimate Since this percent error is less than 5 we cannot determine if the quick check estimate was or was not a good estimate

The volume of a standard can of soda is advertised to be 355 milliliters Suppose a quality control inspector opens a can of sod measures its contents and finds it to be 358 6 milliliters a Compute the absolute error Simplify your answer completely AE Interpret the result This is the ratio of the inspector s measurement to the advertised volume The advertised volume was off by this much relative to the inspector s measurement The advertised volume has this much percent error with the inspector s measurement The advertised volume was this many milliliters off of the inspector s measurement The advertised volume was reduced by this proportion b Compute the relative error Round to three decimal places Simplify your answer completely RE Interpret the result This is the ratio of the inspector s measurement to the advertised volume The advertised volume was off by this much relative to the inspector s measurement The advertised volume has this much percent error with the inspector s measurement The advertised volume was this many milliliters off of the inspector s measurement The advertised volume was reduced by this proportion

1 5 N 2 0 5 1 of 17 1 5 2 25 3 3 5 The two lines intersect where x br 4 5 5 5 5 6 Given the graph of the lines y 4x and y 1 5x 12 5 where do the two lines intersect 6 5 and y 7 5

The estimated and actual values are given Compute the relative error Simplify your answer completely V 13 3 and v 14 RE

The estimated and actual values are given Compute the absolute error Simplify your answer completely AE V 78 69 and v 77 1 e

A ball is thrown horizontally from a height of 18 m and hits the ground with a speed that is five times its initial speed What is the initial speed

Two similar cylinders have radii of 7 and 1 respectively What is the ratio of their volumes OA 49 1 OB 35 35 1 O C 112 1 OD 343 1

x 3 2 t Graph the line that represe 1 y 2 2 x 3 3 2

The estimated and actual values are given Compute the percentage error Simplify your answer completely PE 0 059 and v 0 05

A group of 4 senior analysts and 2 junior analysts earns 28 400 every month Another group of 3 senior analysts and 5 junior analysts earns 34 600 every month Find the monthly salary of each senior analyst and junior analyst Senior Analyst

The estimated and actual values are given Compute the absolute error Simplify your answer completely ve 7 and v 5 AE

Graph the following equation using a table of values y 2x 26 X y

Claude estimates the average age of the participants in his aerobics class to be about 30 years The registration records show that the average age is 21 8 years a Compute the absolute error Simplify your answer completely AE Interpret the result Claude s estimate had this much error relative to the actual average age of participants Claude s estimate had this much percent error This proportion of participants in the class are older than Claude s estimate This is the ratio of Claude s estimate to the actual average age of participants in the class Claude s estimate for the average age of participants was this many years off of the actual average age b Compute the relative error Round to three decimal places Simplify your answer completely RE Interpret the result Claude s estimate had this much error relative to the actual average age of participants Claude s estimate had this much percent error This proportion of participants in the class are older than Claude s estimate This is the ratio of Claude s estimate to the actual average age of participants in the class Claude s estimate for the average age of participants was this many years off of the actual average age

the graph off to complete parts a through I If a limit s not exist explain why 8 7 6 5 2 2 Q Q and fill in the answer box if necessary A lim f x 1 X 1 Type an integer or a fraction B The limit does not exist because defined for all x 1 d Find lim f x Select the correct choice X 1 and fill in the answer box if necessary A lim f x 1 Type an integer or a fraction B The limit does not exist because lim f x lim f x X 1 e Find f 3 Select the correct choice belo fill in the answer box if necessary OA f 3 Type an integer or a fraction OB The value of f 3 is undefined

The estimated and actual values are given Compute the relative error Simplify your answer completely Ve 26 624 and v 25 6 RE

The estimated and actual values are given Compute the absolute error Simplify your answer completely AE 3 7 and v 4

Identify the correct graph for the following equation y 4x 1

Plot the following coordinates in a graph and draw a straight line that covers all three dots 0 3 1 1 2 1 a What is the y value of the line when x 6

se the graph of f to complete parts a through I If a limit es not exist explain why 6 6 4 12 2 Q CHIED fill in the answer box if necessary A f 1 0 Type an integer or a fraction OB The value of f 1 is undefined b Find lim f x Select the correct choice belowe X 1 and fill in the answer box if necessary A lim f x X 1 Type an integer or a fraction B The limit does not exist because f x is not defined for all x 1 c Find lim f x Select the correct choice below X 1 and fill in the answer box if necessary OA lim f x X 1 Type an integer or a fraction B The limit does not exist because f x is not defined for all x 1

At what initial speed must the basketball player in the figure throw the ball at angle 00 40 above the horizontal to make the foul shot The horizontal distances are dj 0 8 ft and d2 13 ft and the heights are h 7 5 ft and h 10 ft

Identify the correct graph for the following equation 5r 22 10

The two cones below are similar What is the value of x O OB 0 18 O O A 0 09 C 0 3 D 0 9 10 3 o d 3 x

12 10 8 6 4 2 A B C D

6 12 points The graph of f x is shown below State the domains of f x and x 31 Jay

a Plot the following coordinates 7 7 5 7 7 5 5 5 What shape do the points make O a Square O b Diamond Oc Rectangle

Use the graph of h in the given figure to find the following values or state that they do not exist a h 2 b lim h x X 2 c h 7 d lim h x X 7 e lim h x X 8 X lim h x 3 X 2 Type an integer or a decimal 10 8 A h 7 Type an integer or a decimal OB h 7 is undefined B hox OB The limit does not exist c Find h 7 Select the correct choice and if necessary fill in the answer box to complete your choice

Question 8 This diagram shows an reaction Free energy time products reactants

Solve the system of equations by using the Substitution meth x OE y 0 4x 4y 560 y 5x 34 0

3 Write the following complex expression in Cartesian from Simplify as much as possible 6 2i 1 1 16 10

Use the graph of f in the figure to find the following values or state that they do not exist a f 1 b lim f x X 1 c lim f x d lim f x X 5 CIT OB The limit does not exist c Select the correct answer and if necessary fill in the answer box within your choice A lim f x 4 Type an integer or a decimal X 4 OB The limit does not exist d Select the correct answer and if necessary fill in the answer box within your choice A lim 1 x Type an integer or a decimal X 5 OB The limit does not exist