Sequences & Series Questions and Answers

Solve the following formula for m B mn4 m Simplify your answer

Determine the real root of f x 5x 5x 6x 2 A Graphically B Using the bisection to locate the root 1 Discuss the descriptive algorithm with your team II Draw a schematic algorithm flow diagram III Select initial guesses of x and x and iterate until the estimated error falls below a level of E 10 C Prepare a findings report

A Describe how the process of solving a linear inequality with 1 variable is different from solving a linear equation also with 1 variable B Consider the difference in meaning between inclusive and exclusive inequality symbols Describe or demostrate how they relate to the following words open closed solid dashed brackets and parentheses Suggested Vocabulary negative inequality symbol number line graph interval notation open closed Solid dashed Include exclude Brackets parentheses

To qualify for Gold status at Awesome Airlines one must fly at least 8400 and less than 35000 miles each year If Gerald takes a 700 mile round trip flight to visit his parents how many times does Gerald need to visit his parents each year to attain Gold status Express your answer in interval notation Answer Keypa

Find the exact value of cos 0 given that sin 0 1 4 and 0 is in quadrant III Rationalize denominators when applicable 5 COCCE Select the correct choice below and if necessary fill in the answer box to complete your choice OA cos 0 Simplify your answer Type an exact answer using radicals as needed Type an integer or a fraction OB The function is undefined

3 A jet made a trip to Dublin and back The trip there took eight hours and the trip back took 12 hours It averaged 150 mph faster on the trip there than on the return trip Find the jet s average speed on the outbound trip A 180 mph B 450 mph C 510 mph D 640 m

The perimeter of a rectangle is 13 feet If the length is 2 feet find the width Step 1 of 3 Choose the correct formula Answer 2 Points OP 4s OP a b c W 01 Prt OP 21

2 Use the following data obtained from ages of the last six U S Presidents at the time of their inauguration to answer the following questions Ages of Last 6 Presidents at Inauguration George Bush Bill Clinton George W Bush Barack Obama Donald Trump 54 47 70 Joe Biden 78 a 2 pts Find the mean of the data set Round to one decimal place X Work 1 pt Answer 0 5 pt 64 46 Replace these words with a cropped picture of your work for question 2a only Reasoning Explanation 0 5 pt

5 Perry wants to project a movie from his phone to a screen on the wall The side length of the screen is 56 in The scale from the screen to the phone is 7 in to 1 in What is the side length of Perry s phone Show your work SOLUTION Decide if each statement about unit rates is true or false 155 35mm

Solve for the value of w 8w 8 9w 5

6 If 2 fl oz of glycerol weigh 74 1 g what is its specific gravity 7 An empty aluminum pycnometer weighs 24 91 g and 30 08 g when water Filled with a compounded lotion the pycnometer weighs 29 94 the specific gravity of the lotion ichs 46 7

Question 10 1 4 15 Use the appropriate reciprocal identity to find the exact value of cot 0 for the given value of tan 8 tan 0 4 cot 8 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression

Decide whether the statement is possible or impossible tan 0 8 and cot0 8 Is the statement possible or impossible OA The statement is possible because tan 0 cot 0 1 cot 0 OB The statement is impossible because tan 0 O c The statement is impossible because tan 0 cote OD The statement is possible because tan 0 1 cot 0

31 cos 0 0 70058013

an 1 47397 8

5 sin 38 42

I X 1059 CX b B and c method 2 b 5 a 3 b 5 and 8 59 Degrees a 5 b 3 Assume the missing angle to be 3 Solve for the missing c and values in three different methods don t be afraid to include drawings a B and c method 1 a 3 Teelb

A large multiplex movie house has many theaters The largest theater has 49 rows There are 19 seats in the first row Each row has three seats more than the previous row How many total seats are there in this theater There are seats in the theater

2 Camila has 7 less than 4 times Mateo s number of Pok mon Trading cards The sum of their Pok mon Trading cards is greater than 51 What is the least number of Pok mon Trading cards Mateo can have Round to the nearest whole number Lesson 1 02

Choose the correct graph below Sketch an angle 0 in standard position such that 8 has the least possible positive measure and the point 2 0 is on the terminal side of 0 Then find the values of the six trigonometric functions for the angle Rationalize denominators if applicable Do not use a calculator O A Q Points 0 of 1 B O C H Save 17

Find the sum of the following series 3 2n

POSSIBLE POINTS 1 The number of seats in each row of an auditorium increases as you go back from the stage The front row has 25 seats the second row has 30 seats and he third row has 35 seats If there are 20 rows how many seats are in the auditorium You should show all of your work in your notebook seats

A high school auditorium has 20 seats in the first row and 22 seats in the second row The number of seats in each row forms an arithmetic sequence How many seats are in the 20th row You should show all of your work in your notebook POSSIBLE POINTS 0 67 seats

Find the common difference and the next three terms of the arithmetic sequence below 6 1 4 9 d

3 Complete the table below by referring to the graph of 2 sequences Term 0 1 2 3 4 5 6 Seq A 2 5 8 Seq B 2 1 213 2 4 8 16 20 19 18 17 16 15 14 13 12 11 10 9 8 7 7654321 23 2 A B A For Sequence A describe a way to produce a new term from the previous term B For Sequence B describe a way to produce a new term from the previous term C Which of these is a geometric sequence Explain how you know 7

5 Boston Health Care for the Homeless Program BHCHP analyzed deaths among homeless adults who were seen at their program from 1 1 2003 through 12 31 2008 Baggett et al 2014 A total of 1 302 deaths occurred during the observation period among the 28 033 study population The table below gives the race and gender of the decedents and total population Decedents N 1 302 Characteristic Gender Male Female 1 055 247 Total Study Population N 28 033 18 612 9 421 Race White non Hispanic 784 Black non Hispanic 301 Hispanic 131 Other Unknown 86 a Calculate the prevalence of Hispanics in the total study population 1 11 912 8 066 5 301 2 754 b Calculate the ratio of males to females in the total study population c Calculate the cumulative incidence of mortality in the total study population over the 6 year period d Calculate the cumulative incidence of mortality according to gender and race over the 6 year period

Which expression is equal to 8 3i 6 i O 14 2i O 14 4i O2 4i 2 2i

onsider the following relation 3 3 Enable Zoom Pa

13 Let GL n R denote the group of all invertible n x n matrices with real entries under matrix multiplication and let SL n R denote the subgroup of such matrices whose determinant is equal to unity Prove that the quotient group GL n R SL n R is isomorphic to R

Evaluate the principal square root 0 09 0 09 Tyne an integer or a decimal

Simplify the expression 4 12 2 4 12

If DP 1 5 cm EP 1 cm CP 2 cm and AB is tangent Then how long are lines AB and BC respectively According with teacher AB 3 raiz 15 cm and BC 10 cm Please confirm Thanks D 0 E P A C B

Note The number of points of the complete bigraph Km n is m n and the number of lines is m n Example Problem Solution K4 2 3 Let V 1 2 3 n Let X i j i je V and are relatively prime The resulting graph V X is denoted by G Draw G and Gs K2 3 2 Graph of G Fig 1 11 1 2 DEGREES For G V 1 2 3 4 and X 1 2 1 3 1 4 2 3 3 4 For G V 1 2 3 4 5 and X 1 2 1 3 1 4 1 5 2 3 2 5 3 4 3 5 4 5 Fig 1 10 K3 3 2 Graph of Gs Fig 1 12 Definition The degree of a point v in graph G is the number of lines incident with v It is denoted by d v or deg v or d G v

Match each of the following with the correct statement A The series is absolutely convergent C The series converges but is not absolutely convergent D The series diverges NOTE Make sure that you can provide the proper arguments to support your answers 1 2 3 DO 5 iMiMiMiMiM 1 3 1 3 1 n 2 10 n 4 1 2 8n n 1 522 1 4n h

Problem 2 a Problem 2 b Hint Use the colon operator to produce the vector 2 5 8 113 and then find the product of the elements of that vector b Find the value of the following sum 8 13 18 428 Just Save Problem 2 Your Answer Submit Problem 2 for Grading Attempt 1 2 a 2143 Attempt 2 X 113 2 a 766 Attempt 3 2 a YEY

MODELING WITH MATHEMATICS A repair bill for your car is 553 The parts cost 265 The labor cost is 48 per hour Write and solve an equation to find the number of hours t of labor spent repairing the car

Determine visually whether the function is even odd or neither even nor odd Is the function odd even or neither O A Even OB Odd OC Neither MAA 2 Ay 2 2x Q

ny In k my 1 which on integrating yields Iny In k my x c where c is a constant of integration The above equation can be further express In y k In k my k x c or my 1 k 1 exp x c

The manager of a large apartment complex knows from experience that all 120 units will be occupied if the rent is 420 dollars per month A market survey suggests that on average one additional unit will become vacant for each 20 dollar increase in rent Let a represent the number of times that rent is increased by 20 Express the monthly revenue R as a function of x R x What rent should the manager charge to maximize revenue rent month max revenue month What is the maximum possible revenue

f x x x 2 a Use the four step procedure to find the following derivatives of f x Notes unless spec ified you can directly apply rules of differentiation to find derivatives This is the only problem in this quiz that requires you to calculate the derivative from the limit definition b Use rules of differentiation to find f x and compare the results in a and b

1a If Carter can drive 80 miles in 2 hours and he continues to drive at a constant rate which equation below represents the number of miles y that Carter can drive in x hours a y 40x b y 80x C y x Hox2 80 40 d y 160x

11 9 A Domain x 5 Range All real numbers B Domain x 4 Range All real numbers C Domain x 6 11 Range All real numbers D Domain x 5 Range All real numbers A Domain x 2 Range All real numbers B Domain x 2 1 Range All real numbers C Domain x 50 Range All real numbers Dy Domain x20 Range All real numbers 10 12 101 A Domain 35x25 Range 6y 6 B Domain 3 sxs4 Range 454 C Domain 1 x 3 Range 656 Dy Domain 2 x 6 Range 7 ys5 12 Dontain All real numbers Range y2 2 B Domain All real numbers Range ys 2 C Domain All real numbers Range 50 D Domain All real numbers Range ys 1 C zoom in

Solve the equation Be sure to check your solution 9 3 20 20 X

Solve the equation Be sure to check your solution 22 x 48

Solve the linear equation Be sure to check your solution 1 4 52 8

olve the equation using the Multiplication Property of Equality 118 11 1 2

Solve the equation using the addition property of equality Be sure to check your solution 4 3 X 5 3 11

Determine whether the given value is a solution to the equation 3 12k 1 8 k Select the correct choice below and fill in the answer box es to complete your choice OA OB 3 Yes k is a solution because both sides of the equation equal 4 No k 3 is not a solution because the left side of the equation equals 4 and the right side of the

Write the equation for the graph provided below O y x 2 1 O y x 2 1 O y x 1 2 O y x 1 2 31

Solve the equation using the multiplication property of equality 10 Z VIN The solution set is