Sequences & Series Questions and Answers

Use the sum to product identities to rewrite the following expression in terms containing only first powers of tangent Answer sin9x sin5x cos9x cos5x

Solve the equation below 5x 11 1 x The solution is x

Indicate whether the following statement is true or false A customer prepaid a services fee to Link Co a year ago Upon the completion of its services Link Co would record nothing because the cash had been collected during the previous year True or False True False

4 Bolum Chapter n Ae N 151 251A 10 max n 1 3 2 A 3 B N 35 361 A 10 n A 34 B 5 A 8 n Ae N 381 391 A 10 max n A 8 C 6 B 9 B 35 C 36 E 38 35 36 35 Con 35 1 36 1 404 35 37 1 10 1 37 1 A ne N 481 49 A 10 max n B 12 C 10 D 9 C 14 D 37 D 11 E 10 D 16 E 12 E 20 1 METROPOL YAYINLARI METROPOL PUBLICATIO 5 401 1 6 7 8 A 10 A 10 999 9 n n tane fn times B 9 511 3999 97 n n tane n times A 0 B 11 C 8 A 501 A 2357 abcd a b c d A 14 B 16 C 18 B 1 D 7 C 12 D 13 11 2 3 28 XX C 2 D 20 D 3 E 6 E 14 E 22 E 7

4 Bolum Chapter n A EN 151 251A 10 1 3 2 A 3 B 5 n A N 351 361 A 10 En A 8 A 8 max n A 34 B 35 C 36 D 37 E 38 d 351 36 35 1 7 351 1 36 d 10 n Ae N 381391 A 10 max n B 9 C 6 A ne N 481 49 A 10 B 12 35 37 1 10 1 37 1 C 10 D 9 max n C 14 E 10 D 11 ENA D 16 E 12 E 20 0 METROPOL YAYINLARI METROPOL PUBLICATIO 5 401 1 6 A 10 8 A 10 7 A 501 999 9 n n tane fn times 511 3 999 97 n n tane n times A 14 B 9 A 2357 abcd A 0 B 11 a b c d C 8 B 16 C 18 B 1 D 7 C 12 D 13 11 2 3 28 x x C 2 D 20 D 3 E 6 E 14 E 2 E 7

A tank has a population of 8 fish Their lengths are listed in the table Find the 3 decimal population mean Find the Population Median Find the 3 decimal Population Standard Deviation 13 16 12 15 4 17 12 6 11 16

Find each for 22 18 12 18 16 21 19 Mean 2 decimal Standard Deviation Median Mode

The mean age of a group of students is 17 and the standard deviation is 5 What is the z value of a student with age 16 years Part 2 of 3 2 6 6 X What is the z value of a student who is 28 years old IC PA

Part 1 of 3 Find each from the data Give a 1 decimal answer if needed 12 19 28 38 34 31 21 27 14 Find Q1 Part 2 of 3 Find Q2 Part 3 of 3 Find Q3 D 3 16 96 X 2 10 OC 5 X D

Write X Ex 0 8 3 17 as a product X E E E of elementary mati 0

BONUS Bonus will be graded as noted in the rubric with the understanding that a student s grade cannot exceed 105 points Part 6 Bento boxes b are special boxed lunches in Japanese cuisine Sushi rolls r are also a popular lunch item usually made of rice seaweed vegetables and either raw or cooked fish Steven wants to buy 3 bento boxes b and 2 sushi rolls r A Write an expression that represents Steven s purchase B Each bento box is 10 yens and sushi rolls are 8 yens How much did Steven spend on his purchase Show your work

A ball is thrown into the air with an upward velocity of 40 feet second Its height h after t seconds is given by the function h t 16t 40t 12 Answer the following questions by typing your answer in the box provided for each part A In how many seconds does the ball reach its maximum height Round your answer to two decimal places B What is the maximum height of the ball Round your answer to the nearest foot feet seconds

The height h t in feet of the ball above the ground t seconds after being thrown can be modeled by the function h t 16t 40t 5 What is the meaning of the number 5 the function h t The ball takes five seconds to reach the ground The ball reaches a maximum height of five feet O The ball takes five seconds to reach its maximum height O The ball was thrown from an initial height of five feet d Fab 2 9 29 US

Apollo Spas services 266 hot tubs If each hot tub needs 135 mL of muriatic acid how many liters of acid are needed for all of the hot tubs

CON Vo MH

Question 8 of 10 These notes are all on the O lines 10

2 3 4 5 6 7 8 9 10 12 8x 1 x 2 3 4 3 11 12

x 2 x 2 8 When you square both sides what is the resulting equation in the next step before you solve for x 8 4 x 8 2 x 2 8 10 11 x 2 64 12 13

3 Prove that the relation R defined on the set X N 0 by aRb if and only if a 362 is divisible by 4 is an equivalence relation Determine its equivalence classes 1 R 10 R How many different equivalence classes does this relation have

2 Find the union UnEN 0 An and intersection neN 0 An of the sets 1 An 12 1 2 2 Pay special attention to the endpoints of the appropriate intervals

Evaluate f x x 6x 3

find value of x that makes matrix A singular x4 1 A Select one O a 2 O b 1 C 1 d 2 O

A 8 b 34 Triangle is not necessarily drawn to scale Find the length of side b a Q round to two dec

The graph of g has a vertical asymptote at x 1 and horizontal asymptotes y 3 and y 2 Determine the limits lim g x lim g x lim g x and lim g x X 1 8118 X48 X 1 lim g x x118 lim g x 818 lim g x X 1 lim g x x 1 6 4 2 2 A g x 2 X

5n 2n n 4n6 5n5 2n 5n 3 5p Find lim 3 5p Find lim n n 5n n 1 3p Show that lim tg x 2 g x 7 x 0 does not exist

3 x 125 125 5 14 14 256 256 4

1 point What is the cycle of a traffic light with respect to time a 3 Ob the time it takes to repeat Oc infinite O d gro

Evaluate 6 for 0 6 3 12 6 54 2 6 a 2 Ob 54 O co d

Write a recursive rule for the sequence 208 104 52 26 13 6 5 A recursive rule for the sequence is a a

The first two terms of a sequence are a 9 and a 3 Let a be the third term when the sequence is arithmetic and let b be the third term when the sequence is geometric Find az bz az b 3

y 2x 9 Which of the following consists of the x coordinates of all the points that satisfy the system of inequalities above A 12 B x 3 C x 3 D x 6

TO Answer Attempt 1 out of 2 se the expression below Then compute and or simplify 5y5y 5y 5y 5y Type the base then use the a button or type the symbol on your keyboard for the exponent A Condensed form 96

Thickness measurements of ancient prehistoric Native American pot shards discovered in a certain village are approximately normally distributed with a mean of 5 3 millimeters mm and a standard deviation of 0 7 mm For a randomly found shard fin the following probabilities Round your answers to four decimal places USE SALT a the thickness is less than 3 0 mm 0 0004 b the thickness is more than 7 0 mm c the thickness is between 3 0 mm and 7 0 mm

10 50 2 25 7 2

2 Regina Skyler and Evander own a commercial floor cleaning business Working together they can clean a warehouse floor in 2 hr Working alone Regina can clea the floor in 8 hr and Sklyer can clean the floor in 6 hr How many hours would it take Evander to clean the warehouse floor working alone Enter the answer to the nearest tenth 10 pts

Match each expression concerning the set B x x E N and x 20 on the left with the best match on the right B a a EN and a 20 B 20 21 22 n B a DNE b Set builder Notation c Roster Notation d 20 e 3 f The set of all natural numbers g 0

Not yet answered Marked out of 1 50 4 Find Ay reaction A O a 2 KN O b 0 KN O c 4 KN O d 1 KN 2 m 4 kN 2 m B 2 m 2 kN

Arithmetic mean of the following frequency distribution is 5 find the value of X Variable frequency 6 DO X 1 X 1 X 1 2X 5 Select one O X 1 O b No enough information to compute value of x X 4 d X 3 e X 2

0 12r 32

Cat 26 7 Horse 5 9 15 15 25 How many people were surveyed How many people owned cats and dogs How many owned cats or dogs Dog How many did not own horses How many owned cats or dogs but not horses

A C IV II V VII VI III VIII B

The Venn diagram here shows the elements in each set Use this to find the elements in the given sets U A 2 4 U BC UA List the elements in each set If any result is the empty set type the word empty without quotation marks An B B

Simplify each radical expression and enter its simplified form in the blank To enter a square root expression use sqrt as in sqrt3 for 3 a 10 10 2 10 You are incorrect b 3 2 2 2 2 You are incorrect C 8 50 7 2 X X X

1600 b 9 in 5 2 in mm in 6 in

The sporting equipment has been sorted into baseballs and bats The number of baseballs is four less than three times the number of bats The equipment is 80 baseballs Choose the equation that best represents this scenario O X 3x 4 X 3x 4 X 3x 4 80 20 20 80 80 100 20

The swimming team has competed in 45 races this season They have won 30 races so far How many races will the team need to win today for the team to have a 75 success rate 8 O 10 012

An aerosol can weighs about 9 ounces Find the weight in grams XO

Proportions can be used to convert units For example to convert 250 centimeters to meters you set up the proportion 1 m xm 100 cm 250 cm Use proportions as described above to convert each of the following If necessary round your answers to one decimal place a Convert 14 feet to inches in b Convert 14 feet to yards yd Need Help Read It

ZOBLEM 4 Find values 3p lim qn 1 39n qn 4p lim q 1 ng 2 9 2qx q x x q 3p lim arctg 7

The prism has a volume of 1368 cubic centimeters Find the height h h cm h 8cm 9 cm