Math Questions

Part 1 of 2 Use the remainder theorem to find the remainder when f x is divided by x 1 Then use the factor theorem to determine whether x 1 is a factor of f x f x 3x6 11x 8 The remainder is E

The equation of a circle in general form is x y 18x 36y 369 What is the equation of the circle in standard form O x 9 y 18 36 x 9 y 18 81 x 18 y 36 36 x 18 y 36 81

The first term in a sequence is 18 and each term after the first is 4 times the preceding term Which of the following recursive functions defines the sequence described above A B C D f 1 18 f n 4f n 1 n 1 f 1 18 f n 4 f n 1 n 1 1 18 f n 4f n 1 n 1 f 1 18 f n 4 f n 1 n 1

Suppose a game consists of two steps First you roll a die If you roll a 6 you continue otherwise you lose the game If you rolled a 6 an can continue playing the game the second step is to randomly choose a card from a standard deck of 52 playing cards If you draw face card ie jack queen or king you win

Two large numbers of the Fibonacci sequence are F 49 7 778 742 049 and A 50 12 586 269 025 If these two numbers are added together what number results O A F 51 O B F 99 O C F 52 OD F 54

Two dice are rolled one after the other Construct a sample space and determine the probability that the sum of the dots on the dice total 6 The probability that the sum of the dots on the dice total 6 is Type an integer or a simplified fraction

A carpenter is creating two new templates for his designs One template will be in the shape of a right triangle where the longer leg is three inches more than three times the shorter leg The second template will be in the shape of a rectangle where one side length is one inch less than three times the length of the triangle s shorter leg and the other side length is one inch more than twice the width The carpenter needs the lengths of both diagonals to be the same Write a system of equations to represent this situation where yis the length of the diagonals and x is the shorter leg of the triangle Which statement describes the number and viability of the system s solutions O A OB The system has only one solution and it is viable because it results in a figure with only positive side lengths The system has only one solution but it is not viable because it it results in a figure with a negative side length OC The system has two solutions and both are viable because they result in figures with only positive side lengths OD The system has two solutions but only one is viable because the other results in a figure with negative side lengths

A 6 foot tall man stands x feet away from an 18 foot tall street light as shown below Use similar triangles to express the length of the man s shadow in terms of x OX 3 0 2x 3x X N O x m

Which of the following statements are equivalent to There exists a prime number greater than 2 that is even Choose each correct answer Select all that apply All prime numbers greater than 2 are odd Some prime numbers greater than 2 are even Some prime numbers greater than 2 are odd All prime numbers greater than 2 are even

In response to rising concerns about identity theft the number of models of paper shredders a company manufactures increased approximately steadily from 3 models in 1994 to 35 models in 2008 Finc average rate of change of the number of shredder models manufactured per year between 1994 and 2008 The average rate of change of the number of paper shredders manufactured per year between 1994 and 2008 was Type an integer or decimal rounded to two decimal places as needed

Drag each coordinate pair to the correct location on the table Each coordinate pair can be used more than once but not all coordinate pairs will be used A system of inequalities is graphed below 2 5 6 4 5 1 3 3 6 4 Inequality 1 1 2 Y 4 6 4 4 6 2 2 Determine if each point satisfies one of the inequalities or the system graphed Then place each solution point in the correct category If the point is a solution for more than one category place the point in each category that is satisfied h 1 1 2 6 Inequality 2 6 X 3 4 System

14 The polygon below was a square with 20 sides before a triangle was removed What is the new perimeter of the polygon in meters F 66 G 70 304 H 76 J 78 K 80 20 12 14 garning Targets

Statement If Then Converse Inverse Contrapositive Use the following statement to write in sentence form the conditional statements If you like math then you like science Symbols Write in Sentence form

Say that a game consists of two steps First you roll a die If you roll a 1 or a 6 you continue otherwise you lose the game If you rolled a 1 or a 6 and can continue playing the game the second step is to draw a random card from a standard deck of 52 playing cards If you draw an ace or a 6 you win What is the probability that you will win this game 2 39 1 3 8 52

Question 27 of 46 What is the quotient of the synthetic division problem below written in polynomial form 1 2 6 4 A 2x 8 OB 2x 8 OC 2x 4 OD 2x 4

Suppose that there were a positive correlation between the variables u and v If vis 24 when u is 10 which of these is most likely to be the value of v when u is 20 OA 24 OB 6 O C 12 O D 48

Guided Practice 20 100 ft Angles of Elevation and Depression Find the value of x Round the length to the nearest tenth Click or tap Math Notes to see the definitions of sine cosine and tangent A 94 0 ft B 36 4 ft C 34 2 ft Text to Spe D 0 342 ft

Select the correct answer from each drop down menu A comic strip writer churns out different numbers of comic strips each day The writer logged the number of comic strips he wrote each day for 16 days and sorted the data in ascending order to create this data set 1 1 2 2 2 3 3 3 3 4 4 4 5 5 6 8 The skew in the distribution is If the writer writes for two more days and creates 5 and 7 comic strips respectively the difference of the mean and the median for the new data set is

A lottery system uses six digits The possible entries in these digits are the numbers 1 2 3 4 or letters n m o q s w and z The numbers or letters drawn can be repeated What is the total number of lottery sequences that can be made 823 543 1 771 561 1 000 000 121 745

15 When Brad threw the winning touchdown pass was 15 yards behind the 50 yard line and 17 yards from the sideline as shown in the figure below How far was Brad from the center of the end zone when he threw the pass Round your answer to the nearest yard 54 A 66 B 71 C 76 D 79 E 84 50 15 120 17 10

expect to pay for his ticket Bew Party 30k 30of DNAID Fund 4 30 of the bene State Court Coban Puy Av 10 of the be wet 7 for 30 d Emergecy Modical Servics Free 52 fm 10 of the be fre mergency Made Tusport Fee Court Opention Amet Night Court A Criminal Conviction Amet Answer wy 15mph Schod Select one or more a f 0 0 O b f 3 2 O c f 0 4 O d f 1 1 O e f 4 16 535 40 516 58 ST 54 40 535 1 5234 599 100 70 40 550 520 54 5 35 1 5479 mph one 570 5 70 38 514 24 4 540 1 SNO 5175 170 5119 568 sas 34 535 4 540 535 1 766 26 mgh over 100 100 100 540 550 20 20 54 540 535 51 SAND Schad Zone 5350 350 245 140 175 70 570 4 540 35 1 143 Given the piece wise function below choose the true values below f x 2 121 4 z 3

Answer the following questions by representing each argument with symbols state the law of logic being used if any and then determine if the argument is valid or invalid Law of Detachment Law of Syllogism Law of Contrapositive or invalid If you do your homework then you can watch TV If you watch TV then you can watch your favorite show If you do your homework then you can watch your favorite show If you miss practice the day before a game then you will not be a starting player in the game You miss practice on Tuesday You will not start the game Wednesday B If 21 and 22 are vertical angles then 21 22 If 21 22 then mx1 mx2 If 21 and 22 are vertical angles then mx1 mX2

One of the lamp posts at a bank has a motion detector on it and the equation x 15 y 12 25 What is the greatest distance in feet a person could be from the lamp and be detected O 5 ft 10 ft 50 ft O125 ft describes the boundary within which motion can be sensed 2 3 4 5 6 7 8 9 Ne

John ran the 100 m dash with a time of 9 99 sec If this pace could be maintained for an entire 26 mi marathon what would his time be Notice that 1 m3 281 ft and 1 mi 5280 ft His time would be hr min sec Round the final answer to the nearest integer Round all intermediate answers to the nearest integer as needed

T t models the temperature in degrees Celsius in Windhoek Namibia when it s t hours after midnight on a given day t 6 9 13 T t 19 25 31 When did the temperature increase faster Choose 1 answer B Between 6 am and 9 am Between 9 am and 1 pm The temperature increased at the same rate over both intervals

The graph below shows the profit P from the daily production of x thousand kilograms of an industrial disinfectant Use the graph to complete parts a through f to the right leinuen und unt 2000 1500 1000 P x 500 0 10 1400 First shift Second shift 10 900 56 10 15 of units 1000s of kilos 20 N a Find lim P x Select the correct choice below and if X 6 necessary fill in the answer box within your choice OA lim P x X 6 Round to the nearest hundred as needed limit does not exist OB lim P x X 6 C The limit lim P x does not exist because the X 6 one sided limits are not equal

At Imelda s fruit stand you bought 5 apples and 4 oranges for 10 and your friend bought 5 apples and 5 oranges for 11 Using this information is it possible to determine the cost of one apple and one orange from the fruit stand If so what do they cost If not why not Choose 1 answer A B Yes they should charge 1 00 for an apple and 1 25 for an orange Yes they should charge 1 20 for an apple and 1 00 for an orange No the system has many solutions No the system has no solution

Find an equation for the rational function in the given graph The equation of the graph is f x Simplify your answer O Points 0 of 1 10 5 10

Select the correct answer Rational function is continuous with a horizontal asymptote at y 1 Which function could be function h A x OB A 1 OC 1 A z 16 16 1

wap 32 Name Date Making good financial decisions is sometimes more challenging than comparing prices Perhaps the 80 coffee maker seems unnecessary but if you consider that you spend 3 a day on Starbucks then this machine will quickly pay for itself When things get more expensive and loans are required then these decisions become a lot more important 220 In this assignment the individuals are on the verge of making a large purchase which will require a loan They are all asking themselves Should I buy Mary Task Must decide if a washer and dryer is worth it Help these six people make decisions on these important purchases Arnold ask Must decide if he will buy a new car Mary goes to the laundromat every week and it costs 5 She has found a combination washer dryer that she could purchase for 1 200 but she would need to take out a loan The local bank is offering her an 8 loan for the full amount Would be cheaper to borrow money on loan or continue going to the laundromat for the next five years Assume the washer and dryer will be financed for the five years using simple interest Which would cost more after 5 years the loan or paying for weekly laundry Should she buy it Arnold has paid off his car but it is beginning to run into problems He will consider buying a new car if the monthly payment is less than 200 He is looking at a 14 000 car with an interest rate of 5 simple interest for 3 years Should he buy it Hint An estimated monthly payment can be found with the formula Principal Total Interest Number of Months

The point 3 5 is on the graph of a function Which equation must be true regarding the function Of 3 5 Of 3 5 8 f 5 3 Of 5 3 2

Ozzie Foster deposits 2 000 at the end of each year ordinary annuity into an Individual Retirement Account at Bishop Bank The account pays 7 compounded annually a How much will be in the account in 25 years b If Ozzie had deposited the 2 000 at the beginning of each year annuity due how much would be in the account in 25 years

OT 25 Suppose that a guitar company estimates that its monthly cost is C x 400x 600x and its monthly revenue is R x 0 4x 600x 200x 500 where x is in thousands of guitars sold The profit is the difference between the revenue and the cost What is the profit function P x O A P x 0 4x 200x 800x 500 OB P x 0 4x 1000x 400x 500 O c P x 0 4x 200r 800 c 500 D P x 0 4x 200x 800 500 K

Some ecologists divided a female bird population into three categories juvenile up to 1 yr old subadult 1 to 2 yr old and adult over 2 yr old They concluded hat the change in the makeup of the bird population in successive years could be described by the matrix equation below The numbers in the column matrices give the numbers of females in the three age groups after n years and n 1 years n 1 Sn 1 an 1 0 0 31 0 0 0 0 72 0 95 0 0 20 In Sn an a Suppose there are currently 920 juveniles 280 subadults and 2800 adults Determine the total number of female birds for each of the next 5 years In the first year there will be female birds Do not round until the final answer Then round to the nearest whole number as needed

Complete this expression Assume that any variables are not equal to zero z Simplify the following expression completely 5w 2 Simplify the following 3 Simplify the following 04 Video Message instructor

Wally Chin the owner of an ExxonMobil station bought a used Ford pickup truck paying 2 300 as a down payment He still owes 75 of the selling price What was the selling price of the truck Selling price

1 A central angle is an angle whose vertex is at the center of a circle Find the m AOC A 53 B C Part I Given that Ozbisects LACCuse the diagram above to complete the following statement 1 point m2AOB mz 53 Part II Find the m2 BOC Explain your answer 2 points Part III Find the m AOC Show your work 1 point

Find the value of x in the given right triangle 37 10 X x Enter your answer as a decimal rounded to the nearest tenth Enter

Determine which steps are used to find the product shown Put the steps in the order in which they would be performed 12 7 10 12 3 2 12 4 4 1 61 5 7 5 1 s 4 2 I 2 1 5 1 1 1 2 1 2 1 2 5 1 1 5 1 2 1 2 5 1 x 2 1 5 2 5 1 5 1 2 1 7 1 r 4 1 2 1 5 r 3 r 1 3 1 2 777

6 For the wheel pictured on the right assume that a person spins the pointer and is awarded the amount indicated by the pointer If it costs 5 to play the game determine a the expectation of a person who plays the game and b the fair price to play the game a What is the expectation S b What is the fair price to play the game 5

expect to pay for his ticket Bew Party 30x530of DNAID Fund 4 30 of the bene State Court Cobain Pully Av 10 of the be wet 7 for 20 d Emergecy Modical Servics Free 52 fm 10 of the be fre mergency Made Tosport Fee Court Opetions Amet Night Court A Criminal Conviction Amet Answer wy 15mph Schod Select one or more a f 0 0 O b f 3 2 O c f 0 4 O d f 1 1 O e f 4 16 535 40 516 58 ST 54 40 535 1 5234 599 100 70 40 550 520 54 5 35 1 5479 mph one 570 5 70 38 514 24 4 540 1 SNO 5175 170 5119 568 sas 34 535 4 540 535 1 766 26 mgh over 100 100 100 540 550 20 20 54 540 535 51 SAND Schad Zone 5350 350 245 140 175 70 570 4 540 35 1 143 Given the piece wise function below choose the true values below f x 2 121 4 z 3

Nate heard stories about the massive Sierra redwoods in California and looked forward to seeing one of these trees for himself On his first actual encounter with one of the trees Nate wants to know just how tall the tree is He places a mirror on the ground and experiments several times until he determines the correct distance from the base of the tree as well as the correct angle of incidence that allows him to see the top of the tree 1 9 m 0 75 m 38 25 m Based on the information in the diagram how tall is the tree The diagram is not to scale The tree is

Kristin Wilson lives in Spartanburg South Carolina and wishes to visit relatives in the following South Carolina cities Florence Anderson Columbia and Charleston In how many ways can she visit each of these cities and return to her home in Spartanburg There are different ways that Kristin can visit each city and return home

4 An elliptical whispering gallery is 10 m long Anna and Francis find that if they each stand 4 m away from the ends of the gallery at its foci they can hear each other perfectly What is the width of the gallery

A total of 7000 is invested part at 6 and the remainder at 10 How much is invested at each rate if the annual interest is 520 Answer How to enter your answer opens in new window at 6

ent of the progress bar may be uneven because questions can be worth more or less including zero depending on your answer Which of the following statements is true about the numbers below i 0 12345678901234567890 the digits cycle through repeatedly ii 0 101001000100001000001000001 the number of Os inbetween the 1s increases by one each time O i is irrational and ii is irrational O i is rational and ii is irrational i is irrational and ii is rational O i is rational and ii is rational Question ID 501235

The city of Raleigh has 11200 registered voters There are two candidates for city council in an upcoming election Brown and Feliz The day before the election a telephone poll of 550 randomly selected registered voters was conducted 237 said they d vote for Brown 267 said they d vote for Feliz and 46 were undecided Describe the sample for this survey O All citizens of Raleigh O All registered voters in Raleigh O All registered voters with telephones in Raleigh O The 550 voters surveyed O The 237 voters who said they d vote for Brown O None of the above

PROOF In Exercises 19 and 20 prove that the triangles are congruent using the AAS Congruence Theorem Theorem 5 11 See Example 3 19 Given VW UW ZX ZZ Prove AXWV AZWU Z AV Y L W U 20 Given ZNKM ZLMK ZL ZN Prove ANMK ALKM N X

An online shopper is viewing new dresses and tops on Site ABC for 1 hour She sees 2 black dresses for 25 60 each and 1 blue top for 16 50 On Site XYZ she sees 3 red dresses with an average price of 29 20 Taxes on Site XYZ are 7 and taxes on site ABC are 6 5 What is the relevant information for the price the online shopper pays for one black dress Select all that apply Select all that apply 2 black dresses for 25 60 each Taxes on Site XYZ are 7 1 blue top for 16 50

9 10 If the discriminant is negative then the quadratic has O 2 Real Solutions No Solutions O 2 Complex Solutions 1 Real Solution 7 points Simplify the radical 4 75 O 4 5 O 9 3 O O 12 5 20 3 7 points Find the square root of 4 02 O 21 21 K