Basic Math Questions and Answers

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

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

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

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

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

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

A local farmer is planting crops on his 30 acre farm He wants to plant at least 10 acres of com and at least 5 acres of soybeans The farmer believes he can make a profit of 80 per acre profit on the com and a profit of 60 per acre on the soybeans The farmer wants t maximize profit Which of the following is NOT a constraint in this situation Ox y 30 O x 10 Oy 25 OP 80x 6y

How many columns in Matrix C Matrix A 3 2 4 Matrix B 3 6 Matrix C 1 2 L A 1 1 1 2 3 1 8 C

The graph of an exponential function is given Select the function for each graph from the given options F x 6 22 g x 6 1 Drag each function given above into the area below the appropriate graph depending on which function is represented by which graph 19 20 Q 21 Q Ay Ay Q h x 6 1 G x 6 x H x 6 f x 6 G 23 Ay 40 24 Ay Ay Q

A sample of phosphorus was isolated and analyzed to determine the percent abundance of each isotope The results are recorded in the table below Isotope Phosphorus 29 Phosphorus 31 Phosphorus 32 Mass amu 29 31 32 Percent Abundance 5 71 24 Based on the data which statement gives the best reasoning for the average atomic mass for the isotopes of 31 14 amu Phosphours 31 makes up the majority of the sample so the average atomic mass should be close to 31 It is the sum of neutrons and electrons in the isotopes found in a sample It is the mean of all of the different isotopes of phosphorus present in the sample It is the total number of neutrons protons and electrons in the isotopes found in a sample of phosphorus

Question 3 1 Graph y c 4 5 5 4 3 2 1 4 3 2 1 1 2 3 4 5 Clear All Draw 1 2 3 k 4 5

John is in a club that collects annual dues In the first year that he was a member he paid 20 in club dues However the club dues increase by 2 each year Identify the function that describes the relationship between the number of years that John has been a member of the club and the dues he pays that year Of n 20 2 n 1 Of n 20 2 n 1 f n 20 2n f n 20 2 n 2

Line a passes through 3 1 and 1 7 Line b passes through 2 3 and 8 0 Line c passes through 1 9 and 5 3 Line d passes through 8 6 and 6 1 a b a c a d b c b d c d alb a c ald Obic bid

Fiona s Fashion Store is world renowned for its buttoned uniforms A collection of 36 shirts and 42 jackets contains 842 buttons A collection of 6 shirts and 7 jackets contains 137 buttons Each shirt has the same number of buttons and each jacket has the same number of buttons How many buttons are there in a Fiona s Fashion shirt and how many buttons are there in a jacket

According to the graph of w below the line w 0 is also the H W 5 0 20 00 A neutral asymptote B vertical asymptote C horizontal asymptote D positive asymptote E negative asymptote W for H

Which manipulations to this equation maintain its balance 3z 3 12 Drag each tile to the correct location on the table For help see this worked example C Balanced 3x 3 12 3 Not Balanced 3x 3 1 2 3x 3 12 3 3 1 2 3x 3 3

lect the reason why these triangles are nilar If they are not select Not similar 8 10 12 5 7 6 25 B SAS D Not similar

5 The data provided is that for the depth of water in Cokato Creek as measured during a day long rainstorm D t is a differentiable function of time t t hour 0 4 8 12 16 20 24 D t in 32 36 38 37 35 33 32 a Find the approximate value of D 16 Indicate units of measure and explain its meaning in context of the problem 4 points b Cokato High School math students have determined that the function D t 35 3cos models the depth of the water during such rain events D t represents the depth of the creek in inches after t hours Use your graphing calculator to find D 16 and explain the meaning of your answer with appropriate units in context of the problem 4 points

Select the correct answer The graph of f x 1 10 8 6 4 2 What is the value of k has been transformed to create the graph of 9 x k y A 2 OB 0 O C 3 OD 3 10 8 6 A 2 2 T 6 8 10 O g 2 0 6 CO 8 10 X

Sherry bought 20 apples at the grocery store The Braeburn apples were 0 80 each and the Granny Smith apples were 0 65 each All together the apples cost 14 95 How many Granny Smith apples did she buy A 7 B 9 C 11 D 12 E 13

127GARAS 2 2008 Natasha conducted a survey to determine how many of the 215 workers in her office building use public transportation to get to work She surveyed 30 randomly selected workers who entered the office cafeteria throughout the day Of the 30 workers surveyed 9 used public transportation to get to work Which change to Natasha s survey process would make the data more reliable A Use a different sample size so the predicted number of workers who use public transportation is a whole number B Ask a randomly selected sample of people who use public transportation whether their office is in the building OC Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included Have workers complete a written survey so there is a written record of the responses D

Your parents have been advised to save 5 of their income for your college education which would include money for housing tuition books and fees Ho much would your parents have saved in one year following the recommended 5 they had an average household income of 48 948 Show your work 5 points

Peter is writing about this excerpt from The Code Book A variation on the Trojan horse is a brand new piece of encryption software that seems secure but which actually contains a backdoor something that allows its designers to decrypl everybody s messages In 1998 a report by Wayne Madsen revealed that the Swiss cryptographic company Crypto AG had built backdoors into some of its products and had provided the U S Government with details of how to exploit these backdoors As a result America was able to read the communications of several countries Which of Peter s lines shows that he is using personal experience to understand the reading O Hidden messages can be shared through a backdoor in encryption software It reminds me of the way I leave my kitchen door open so the cat can come in Hidden messages can be shared through a backdoor in encryption software The author gives an example of this software helping the government O A Trojan horse is a type of encryption software but as the author explains it is not always 100 percent secure O A Trojan horse is a type of encription softuro which

The flight path of a rocket launched from the ground is modeled by y 0 25 60x x where y is the height of the rocket in meters from the ground and x is the time in seconds after it was launched Find the vertex of the parabola and explain what it represents in terms of the context 30 225 rocket reaches maximum height of 225 feet after 30 seconds 60 0 rocket lands at 0 feet after 60 seconds 30 225 rocket reaches maximum height of 30 feet after 225 seconds 60 0 rocket reaches 60 feet after 0 seconds

Given the following limit select all statements that must be true f 6 h f 6 h Select all that apply Of x is continuous at x 5 Of x is differentiable at x 6 lim f x exists x 6 lim f x f 5 x 6 None of the above lim h 0 5

A inanufacturer determines the relationship between the demand and price of an item to be x p 5200 where x is the number of items demanded at a price of Sp each If the price per is decreasing at a rate of 5 00 each week find the rate of change of the demand with respect to when the price is 40 per item Round your answer to the nearest integer if necessary d P 5 week a 90 items per week b 14 items per week c 3 items per week d 200 items per week e None of the above 540 2x 2p 0

On a piece of paper graph y2 x 1 Then determine which answer choice matches the graph you drew 5 A y 01 5 LO 3 2 0 1 5 O A Graph D OB Graph C OC Graph B O D Graph A 1 5 B 01 5 Ch 3 2 0 1 5 5 C 10 5 10 S 3 2 0 1 5 5 D 5 y 3 2 x 0 1 5

Kayla runs a small bakery in her town The following expression models the total amount of money Kayla s bakery earns in a particular mont where x represents the number of online orders in that month What does the constant term in the above expression represent O A 200 9x 1 900 OB OC OD The constant 900 represents the amount Kayla s bakery earns in a particular month when there are no online orders The constant 900 represents the maximum amount of money that Kayla s bakery receives in a particular month The constant 900 represents the maximum number of online orders Kayla s bakery receives in a particular month The constant 900 represents the amount Kayla s bakery earns from online orders each month

The amount of simple interest earned n varies jointly with the rate of interest r and the number of years t The simple interest earned is 225 when the rate of interest is 4 5 for 4 years Using the variables r and t find the equation that represents this relationship

Drag each tile to the correct box Match the text structure to the appropriate author s purpose description problem solution cause effect to describe important facts and details about the Declaration of Independence to recount why students can no longer carry backpacks and the impact it has on students to inform readers about the trouble with excessive screen time and possible ways to reduce it

Work must be shown to receive credit Recommended to work on problems on separate paper Answers are at the bottom 1 On average a U S smartphone owner between the ages of 18 and 24 sends and receives a total of 3853 text messages per month The number sent is 191 more than the number received On average how many text messages are sent and how many are received per month by a smartphone owner in this age group

ve buys last year s best selling novel in hardcover for 15 75 This is with a 25 discount from the original price What was the original price of the novel

Reena collects postage stamps to create an album The album has 14 pages The first five pages of her stamp album holds 4 stamps per page The remaining pages of the album have 14 stamps per page Which equation can be used to find the total number of stamps n On 5x 14 14 14 On 14 x 4 14 9 On 5x 4 9 x 14

On a map the endpoints of a straight fence are located at A 4 12 and B 8 22 Lisa plans to install a gate in the fence and wants the gate s hinges to be the same distance from both ends of the fence At what point on the map will the gate hinges be placed OA 0 2 OB 2 5 OC 6 17 OD 12 34

The price p in dollars and demand x for wireless headphones are related by x 8 000 0 15p The current price of 110 is decreasing at a rate 7 per week Find the associated revenue function R p and the rate of change in dollars per week of revenue R p 8000p 0 15p d dp dt R p 8 000p 3 dp dt 0 15p The rate of change of revenue is dollars per week Simplify your answer Round to the nearest dollar per week as needed

A high school chemistry teacher asks four student groups to determine the number of protons neutrons and electrons respectively present in an ion of Titanium Ti 2 Which student group provides the best answer Group one claims that there are 22 protons because this number identifies the element Ti they also claim there are 26 neutrons because when the protons and neutrons are added the number equals the atomic mass on the periodic table which is 47 87amu and there are 20 electrons because the ion has a 2 charge which indicates the atom lost two electrons Group two claims the number of protons is 26 because the number of neutrons is always the same when subtracted from the mass which is 48 the number of neutrons would then equal 22 and the number of electrons is 24 because the 2 charge indicates the atom gained 2 electrons O Group three claims that there are 22 protons in an atom of Ti so that means there are 24 neutrons because there is a 2 charge which indicates the atom lost 2 neutrons and there are 22 electrons because every atom has the same amount of protons and electrons Group four claims there are 20 protons because the atom lost 2 charges the number of neutrons is 28 because when added the number of neutrons and protons should equal 48 and there are 20 electrons because the number of electrons and protons should be the same

amie and Margie need to divide a couch and a hot tub Using the Method of Sealed Bids Jamie bids 530 on the couch and 160 on the hot tub while Margie bids 490 on the couch and 180 on the hot tub amie will get the couch and Margie will take the hot tub and will also get a little bit of money from Jamie To make the division fair how much money will Jamie have to give to Margie

Eugene has fifteen songs on his playlist If he uses the random mode on the music app to play all the songs which of the following represents the number of possible ways to order the songs Assume that the random mode does not play the same song more than once in a cycle O 15 O 1515 0 15 15 15

IV A light display has three colored lights each of which flashes on for an instant at regular intervals The yellow one flashes 15 times per minute the blue one flashes 6 times per minute and the red one flashes 12 times per minute You see all three lights flash on simultaneously How much longer must you wait before the three lights flash on simultaneously again The correct answer is 20 seconds Solve this problem and explain each step of your process so that a 5th grader will understand