Sequences & Series Questions and Answers

A study is done on the number of bacteria cells in a petri dish Suppose that the population size P 1 after 1 hours given by the following exponential function P t 2500 0 75 Find the initial population size Does the function represent growth or decay growth decay By what percent does the population size change each hour n C 121

Suppose that the height in centimeters of a candle is a linear function of the amount of time in hours it has been burning After 7 hours of burning a candle has a height of 19 2 centimeters After 25 hours of burning its height is 12 centimeters What is the height of the candle after 11 hours Candle height in cm Burning time in hours centimeters BEET D HB

For each function graphed below state whether it is one to one One to one One to one Graph 1 24 2 2 4 6 de 8 Yes No Graph 4 Ty 8 6 4 42 8 EN Yes No 10 00 Graph 2 Not 8 2 Yes 8 Graph 5 Ty No Yes No 8 6 4 Graph 3 Yes No Graph 6 6 4 2 4 6 8 Yes No

1 Find an expression for the area of the figure 3x 1

9 Factor the expression x 12x 36

Listen The function f x 2 cos x d contains the point 1 The equation s of this function is are a f x 2 cos x 3 and f x 2 cos Ob f x 2 cos x and f x 2 cos x 7 Oc f x 2 cos x 4 and f x 2 cos x d f x 2 cos x and f x 2 cos x

Question 26 1 point Evaluate the following statement as true or false the period of f 2 com kz is Oa True Ob False Question 27 1 point The cosecant function has restrictions in its domain t

Question 21 1 points The domain of the three basic trigonometric functions is Domain R This statement is a true only for the cosine function b true for all three basic trigonometric functions Od true only for the sine function d true for both the sine and cosine functions Question 22 1 point Listen

Listen A trigonometric function of the form f x a sin x has a maximum at 4 and a minimum at 4 The function would be a f x sin x 4 Ob f x sin 4x Oc f x 4 sin x Od f x sin r 4

Ali can choose Plan A or Plan B for his long distance charges For each plan cost in dollars depends on minutes per month as shown below Cost in dollars 28 26 24 2282 20 18 164 144 12 10 8 6 4 2 Plan A Plan B X 0 25 50 75 100 125 150 175 200 225 250 275 300 325 350 375 Minutes used per month a If Ali makes 300 minutes of long distance calls for the month which plan costs more Plan A Plan B How much more does it cost than the other plan 0 b For what number of long distance minutes do the two plans cost the same If the time spent on long distance calls is less than this amount which plan costs less X S

Identify and label the hypotenuse adjacent and opposite sides on the given right triangle using the reference angle A 05 C 90 x 32 LEVEL 2 Set up a trig equation and solve for the missing side length of the triangle COS 32 12 Trigonometric Function sin A X cos A 12 tan A X 14 1 B A 12 Find the sine cosine and tangent of the referenced angle 6 35 14 1 19 2 THIS IS CORRECT Ratio

JNIT 4 HINT what is the probability distribution of each individual event What is the probability of all of them together Use the probability distribution table to answer the question What is P 2 x 5 Your answer should be a decimal 0 45 601

UNIT 2 HINT There is a common difference of 13 You are finding the TOTAL so it a summing question Andrew earns an allowance of 4 the first week 17 the next week 30 the following week and so on How much will Andrew earn over the course of 10 weeks

Mark and his partners have contracted to purchase the franchise rights worth 123 000 to open and operate a specialty pizza restaurant called Pepperoni s With a renewable agreement the partners have agreed to make payments at the beginning of every six months for five years To accommodate the renovation period Pepperoni s corporate office has agreed to allow the payments to start in one year with interest at 14 36 compounded annually a What is the future value of the franchise after the deferral period b What is the size of the payment required

20 Completely 3x3 18x 27x factor the expression 4 Points

10 Rationalize the denominator to simplify 2 4 3 4 Points

Find the x and y intercepts of the equation State your answer as an ordered pair x y 4 Points 2x 7y 28

Distributive Property 8 A B Question from 0 2 The Real Numbers Find the indicated set if given the following Enter your answer as a set Enter EMPTY for the empty set A 1 2 3 4 5 6 7 B 2 5 6 9 C 7 8 9 10 a AUBUC b An Bn C

Evaluate the expression using x 3 y 5 and z 1 xy 2z

3 67 5 www Select the correct choice below and if necessary fill in the answer box to complete your choice OA The solution set is Round to the nearest thousandth as needed Use a comma to separate answers as needed OB The solution is the empty set

Use the Laws of Logarithms to combine the expression 2 log x 2 log7 y 4 log7 z

Dalton Alexander s gross weekly pay is 615 His earnings to date for the year total 13 824 What amount is deducted from his pay each week for Medicare which is taxed at 1 45 O 8 35 O 16 95 O 6 00 8 92

Kar and Ching Sho keep records of their expenditures They want to know how much they spend each month on the average Their records for four months are shown below What is their average monthly expenditure Month January February March April Expenditure 3 356 00 3 988 50 4 010 02 4 649 52 4 030 10 3 988 00 3 765 22 1 001 01

1 point The hours for online banking are from 6 AM until midnight False True

The formula for calculating straight commission is Straight Commission Total Sales X Commission Rate O False True

Net pay can be defined as O O O the amount of money you have left after your employer subtracts all withholdings and deductions the amount of money you have before your employer subtracts all withholdings and deductions the amount of money you earn during a 12 month period the amount of money you are allowed to put into your retirement plan

Choose the correct translation of the following into symbol There are fewer than five cookies left Let c the number of cookies left Oc 5 Oc 5 O c25 O c 5 5

Listen For two functions f x and g a the resulting function for 4 2 is the function 2x 3 and has a restriction of x 3 Which function for g z fits this information a g x x 3 b g x x 3 Oc g x 2x 1 d g x x 6 Previous Page Next Page Page 4 of 4

Question 26 1 point Listen The sum of two linear functions is a may be a linear or horizontal line b always vertical line Oc always linear function d always a horizontal line Question 27 1 point Listen If you are given two even functions then the resulting function through addition will

4 Listen Given the functions f x x 2 and g x x 12x 1 what is the range of g f x Oa R yly R Ob R yly 15 y R Oc R yly 15 y R d R yly 12 y R Question 38 1 point

E4Listen For the function fog where f x and g x 3x 5 the restriction on the domain is O a x 3 Ob there is no restriction on the domain Ocaz Od r

Listen The cost of fuel in C dollars is a function of the number of litres L of fuel consumed The cost of fuel is 1 01 per litre The amount of fuel consumed L is a function of the number of hundreds of km K travelled A car consumes 12 4 L per 100 km If you spend 112 72 on gas how long was the trip a 900 km Ob 1800 km O c 9 km O d 450 km

Question 4 1 point 40Listen What is the restriction on the domain of g x x 4 O a x 4 Ob x 2 O c x 2 2 d x 2 x for f x x 2 and

E4 Listen If f x cos x and g x x what is the range of fog x Oa y 1 y 1 y R Ob y 0 y y R Oc y 0 y 1 y R Od y y y R

Listen Given g x x and f x x fog x will result in an even function a Always True Ob Sometimes True c Never True Question 3 1 point Listen For the functions f x 3x 5 and g x x 1 find fog x

FITNESS A study of 100 randomly selected students from first through sixth grade finds a strong correlation between overall fitness a participation in sports Can you conclude that participation in a sport causes students to be more fit Why or why not 100 characters remaining

which one of the following is an equivalent polar equation of the rectangular equation y x a theta pi 4 b theta pi 4 c rsintheta y d rcostheta x

boarded the Ferris wheel at the bottom which is 2 m above the ground a Find the equation that models the height of the person b For how long will he be above the height of 30 meters during the first 4 minutes

A researcher wants to estimate the average shoe size of 30 year old men in Arizona From a random sample of 50 men the researcher obtains an average show size of 12 5 The average shoe size of 12 5 is considered a Parameter Population Sample Statistic

Find if possible a AB and b BA if A 3 3 1 5 B 0 2 4 3 4 5 5 1 a Select the correct choice below and if necessary fill in the answer boxes to complete your choice OA BA Simplify your answers OB This matrix operation is not possible OA AB Simplify your answers OB This matrix operation is not possible b Select the correct choice below and if necessary fill in the answer boxes to complete your choice

Find the slope of the line passing through the points 7 8 and 7 4 slope Find the slope of the line passing through the points 2 7 and 2 3 slope 3 08 X

3 Pt 1 The soccer team is selling bags of popcorn for 3 each and cups of lemonade for 2 each To make a profit they must collect a total of more than 120 Write an inequality to represent the number of bags of popcorn sold p and the number of cups of lemonade sold c in order to make a profit W

olve the problem Round to the nearest tenth of a percent A Pet Y 1 2 nt A 5 8 OB 5 7 C 5 9 1 A passbook savings account has a rate of 5 6 Find the effective annual yield if the interest is compounded quart

Target 3A Represent s 1 Tyler goes to the store Hi budget is 125 Which inequality represents x the amount in dollars Tyler can spend at the store O x 125 O x 125 Ox 125 Ox 125 3 A doctor sees between 7 and 12 patients each day On Mondays and Tuesdays the ment times are 15

C Select X 4 5 6 c x 2000 3600 6480

h x A Using h x 8 determine the value of x you get for h x 12 OA 6 OB 10 Oc 120 OD 120

Find the solution of the inequality 6x 18 Ox 3 Ox 3 Ox 3 Ox 3

Graph the solution of the inequality 2x 1 13 A B C D DOOO O 2 3 4 5 23 N Number Line A O Number Line B ONumber Line C A NO 9 8 9 10 11 12 13 14 10 11 12 13 14 8 9 10 11 12 13 14 10 11 12 13 14

Which inequality listed below has the same solution as x 9 Ox 9 OX 9

A B C D Select Select Select Select 44