Math Questions

Given that sin 0 necessary 3 and is in Quadrant III what is cos 0 Give your answer as an exact fraction with a radical if 3 Provide your answer below cos 0

29 Grande Prairie to Medicine Hat Alberta 15 10 hrs and 45 minutes to drive Suzie s SUV is travelling at a constant rate of speed from Grande Prairie to Medicine Hat a What are the independent and dependent variables Independent variable Time Dependent variabe Distance Covered km b How could you represent Suzie s starting coordinates and end coordinates Suzie s starting coordinates 0 0 NEED TO MAKEA 1013 Suzie s ending coordinates 5 10hr GRAPH

5 II Superman must stop a 120 km h train in 150 m to keep it from hitting a stalled car on the tracks If the train s mass is 3 6 105 kg how much force must he exert Compare to the weight of the train give as How much force does the train exert on Superman

Angelique is buying towels for her apartment She finds some green towels x that cost 5 each and blue towels y that cost 7 each She wants to buy at least 7 towels but does not want to spend more than 49 How many of each towel can she purchase Enter the system of inequalities that represents the situation Then select the graph of the system and select one possible solution The system of inequalities is A S 10 10 Fi 1 E and TO B 0 6 NO 4 21 430

A plane is going to fly 300 miles at a planned speed of 530 mph The flight will have an aver headwind of w miles per hour the entire time meaning the plane is flying directly against t The time T in hours of the flight is a function of the speed of the headwind w in mph and modeled by T W a To the right is the graph of y T w What does T 110 mean in this situation b 300 530 w function At what value of w does the graph have a vertical asymptote Explain how you know and what this asymptote means in the situation 100 300 400

Introduction to Exponential Functions According to the Mini Lesson which of the following are TRUE regarding f x a b Check all t apply Assume a 0 The Range of the exponential functions is f x 0 The Range of the exponential functions is All Real Numbers The Domain of the exponential functions is a 0 The Horizontal Asymptote is the line y 0 The Domain of the exponential functions is All Real Numbers The Horizontal Asymptote is the point 0 a The Horizontal Asymptote is the line 0

Jax is making his famous fruit punch for a party If one serving is 8 fluid ounces and Jax wants to have at least 36 servings for the party which of the following represents a the amount of fruit punch he needs to make in fluid ounces A B C D x 8 x 36 x 228 x 288 www www www www

ect the correct answer from each drop down menu Lisa is repairing fences on a piece of ranch land She needs to arrive at point A from point 8 in the diagram But the land there is low and sometimes floods Before she decides to risk it she wants to know how much distance she ll save if she goes straight from B to A instead of taking the dry path from B to C to A Angle BCA is a right angle AC BC 21 feet and AB BC 24 feet B If Lisa travels straight from B to A she ll walk feet which will save her feet compared with traveling

Jimmy invests 500 in an account with a 3 interest rate making no other deposits or withdrawals What will Jimmy s account balance be after 10 years if the interest is compounded 2 times each year 673 43 580 27 173 43

A company has 9000 arrivals of Internet traffic over a period of 21 060 thousandths of a minute Let the random variable x represent the number of such Internet e traffic arrivals in one thousandth of a minute It appears that these Internet arrivals have a Poisson distribution If we want to use the formula P x find the probability of exactly 4 arrivals in one thousandth of a minute what are the values of x and e that would be used in that formula P Round to three decimal places as needed to

k t ince transactions for Payroll com by completing the check stubs provided Leave no cells blank be certain to enter 0 wherever required Round your answers to 2 decimal places a November 8 2019 deposited 784 90 b November 8 2019 check No 190 payable to Staples for office supplies 805 28 No 190 Date To For Balance Amt Deposited Total Amt this check Balance Forward Check Stubs No 191 Date To For c November 15 2019 check No 191 payable to Best Buy for computer equipment 3 850 09 Amount Check Stubs Balance Amt Deposited Total Amt this check Balance Forward Amount

The element plutonium 239 is highly radioactive Nuclear reactors can produce and also use this element The heat that plutonium emits has helped to power equipment on the moon If the half life of plutonium 239 is 24 360 years what is the value of k for this element

Vectors u and v are shown on the graph 1 6 S 4 2 1 2 3 V 10 11 12 13 14 Part A Write u and v in component form Show your work 3 points Part B Find u v Show your work 2 points Part C Find 5u 2v Show your work 5 points

Type the correct answer in each box Spell all words correctly and use numerals instead of words for numbers The coach of a soccer team is determining which of the team s three goalies will play in today s game The weather forecast gives a 100 chance of rain and the team needs to win or tie to stay in the tournament The coach compiled data on goalie performance during rain given in the table below April Tony Conner April Tony Based on the data given calculate the win or tie percentage in rain for each goalie Conner 96 96 Games Won in Rain Games Tied in Rain Games Lost in Rain 6 3 6 5 7 4 4 10 6

01 05 MC A commercial aircraft gets the best fuel efficiency if it operates at a minimum altitude of 29 000 feet and a maximum altitude of 41 000 feet Model the most fuel efficient altitudes using a compound inequality Oxz 29 000 and x 41 000 Oxs 29 000 and x 41 000 Ox 41 000 and x 29 000 the Ox 41 000 arx 29 000

After four years in college Josie owes 6000 in student loans The interest rate on the federal loans is 3 and the rate on the private bank loans is 3 6 The total interest she owes for one year was 204 00 What is the amount of each loan Federal loan at 3 account Private bank loan at 3 6 account

A single serving coffee machine is programmed to dispense 8 ounces of coffee per serving Occasionally the machine will start to overfill or underfill cups of coffee and require recalibration According to the company the coffee machine requires recalibration if it overfills or underfills cups of coffee by 1 or more ounces Determine the probability that a randomly selected cup of coffee was underfilled or overfilled by more than 1 ounces Assume the distribution of the amounts of all coffee dispensed by the machine are normally distributed with a mean of 8 ounces and a standard deviation of 1 75 ounces The probability that a randomly selected cup of coffee is overfilled or underfilled by 1 ounces is

Choose the word that correctly completes the analogy querulous complaining disastrous A devastating B beneficial C helpful

Which of the following statements is are true for all positive integers 1 n 2n is divisible by 3 2 52 1 is divisible by 24 O Both statements are true O None of the statements are true Only the first statement is true Only the second statement is true

Which of the following is the set P for all the names of polygons with more than 3 sides and under 5 sides Select the correct answer below OP tetragon pentagon O P tetragon OP trigon tetragon pentagon P monogon digon trigon

Find the surface area of the composite figure 5 cm 10 cm 4 cm 5 cm SA 12 cm 10 cm 8 cm 4 cm cm 2 Enter

The graph and the equation show a linear model for data collected on the number of cell phones and cell phone cases sold at a local electronics store on 12 different days y 0 81 Cell Phone Cases Sold 50 45 40 35 30 25 20 15 10 5 0 5 OA 40 OB OC 10 15 20 25 30 35 Cell Phones Sold Based on the model if the store sold 100 cell phones how many cell phone cases did it sell 100 4 50 40 45 50 X

Given v 14 5 what are the magnitude and direction of v Round the magnitude to the thousandths place and the direction to the nearest degree 13 077 200 13 077 20 14 866 200 14 866 20 Sm

Problem 4 10 Points Words Words Words part 1 5 points each You boss decides to launch a new product cerebrum vastatorem and you are tasked with finding the optimal price and quantity The revenue function is R 5p 1000p where R is the revenue and p is the price Find the revenue maximizing price and the maximum revenue and graph it Remember that you can label the scale for your graph

O 91 mL hr O 0 083 mL hr O83 mL hr O 83 gtt hr Question 24 3 gm 300 mg 30 mg O 30 000 mg mg

Instead of using the values 1 2 3 4 5 6 on dice suppose a pair of dice have the following 1 2 2 3 3 4 on one die and 1 3 4 5 6 8 on the other Find the probability of rolling a sum of 7 with these dice Be sure to reduce

Hal earns a B on 75 of his tests He divides a spinner into 12 equal spaces to model the grades he earns on his tests with nine of the spaces representing a B Which statement about his model is true OA His model can be improved the most by using eight of the spaces to represent a B B His model can be improved the most by using every third space on the spinner to represent a B OC His model cannot be improved OD His model can be improved the most by dividing the spinner into 15 equal spaces

6 A physician orders 4 teaspoons daily of specific drug in four equally divided doses a How many milliliters of the drug should be administered daily b How many cc of the drug should be administered daily c How many fluid ounces of the drug should be administered daily d How many fluid ounces of the drug should the patient receive in each divided dose

which is composed of polynomial constant and exponential pieces

If a family borrows 23 742 for an addition to their home and the loan is to be paid off in monthly payments over a period of 10 years how much should eac payment be Interest has been included in the total amount borrowed Round your answer to the nearest cent if necessary Each payment should be

Jamie runs a math tutoring program For each student she charges an enrollment fee of 63 00 plus 18 00 per hour of tutoring If h represents the number of hours a student participates in tutoring which inequality symbolizes when a student s average cost per hour of tutoring is no more than 22 20 OA B OC OO E 63 00 18 00h h 63 00 18 00 h 63 00 18 00 h 18 00h 22 20 h 22 20 22 20 22 20 63 00 18 00h 22 20

Joseph is going to invest in an account paying an interest rate of 5 6 compounded annually How much would Joseph need to invest to the nearest hundred dollars for the value of the account to reach 8 300 in 10 years

Which of the following correctly shows the set D of all positive odd numbers less than 10 in roster notation Select the correct answer below OD 0 1 3 5 7 9 OD is the set of all positive odd numbers less than 10 O DID is the set of all positive odd numbers less than 10 1 257 01

Find the mean of the GDP per worker for the G7 nations Round to the nearest hundred dollars US dollars in thousands 120 0 100 0 80 0 60 0 40 0 20 0 0 0 68 0 Japan GDP per worker 2008 in US Dollars 71 9 Italy 72 6 74 8 Germany United Kingdom 76 2 Canada 82 8 France 97 1 United States

Consider the following prisms whose bases are both squares 12 0 0 15 8 8 Naomi tried to use Cavalieri s principle to show that the two figures have the same volume The base areas are the same Therefore corresponding cross sections have the same area So the volumes must be the same What is the first mistake Naomi made Choose 1 answer 12 The base areas are not the same It isn t true that corresponding cross sections have the same area She did not establish that heights are the same

Decibels are a measure of sound on a logarithmic scale where the number in front of the zero represents the number of powers of 10 can think of as the number of zeros As an example a whisper is around 10 dB power ratio of 10 1 zero while a jet engine is around 120 dB power ratio of 1 000 000 000 000 12 zeros Convert the value of a washing machine at 80 decibels into a power ratio

Select the correct answer from each drop down menu Annie has a compost pile that produces 12 pounds of compost a day from yard waste Which function expresses the amount of compost c as a function of the number of days d The function representing the relationship between the amount of compost and the number of days is input as V with the

Question 22 Factor x 5x 6 O x 3 x 2 O x 6 x 1 O x 3 x 2 O x 6 x 1

A 60 ft long swimming pool is to be constructed The pool will be 3 ft deep at one end and 12 ft deep at the other To the nearest degree what will be the measure of the acute angle the bottom of the pool makes with the wall at the deep end 078 083 081 080 84

A grapn or the GDP per worker or the G7 nations is shown Ose this image for the next two questions US dollars in thousands 120 0 100 0 80 0 60 0 40 0 20 0 79 100 77 600 68 0 76 500 71 9 GDP per Worker 2008 in US Dollars 72 6 74 8 76 2 Find the mean of the GDP per worker for the G7 nations Round to the nearest hundred dollars 82 8 Japan Italy Germany United Canada France Kingdom 97 1 United States points

Which two of the objects shown below could we slice perpendicular to their bases faces to create triangle cross sections Choose 2 answers Cone Cube Cylinder

The definitions below can help us classify any real number as rational or irrational RATIONAL NUMBERS Can be written as a fraction terminating repeating decimals Square roots of perfect squares t 0 6 7 0 123456 0 33 an 20 1 75 HOMEWORK Classify each given value as rational or irrational Explain your choice in the last column VALVE RATIONAL OR IRRATIONAL EXPLANATION 12 121 TED IN CLASS IS ratinonal irrational rational rational irrational rational irrational irrational IRRATIONAL NUMBERS Cannot be written as a fraction non terminating non repeating decimals Square roots of non perfect squares can be written as fraction 12 can t be written as non infinite ded 20 can be written as ID is a fraction it s a non terminating it s a repeating decimal non terminating non repeating decimal

A horse eats about 3 lbs of food for every 100 lbs of body weight This can be represented by the function f x 3x for x hundred lbs Graph the function and use the graph to find the amount of food a 400 lb horse would eat Use the graphing tool to graph the function Click to enlarge graph Next Question

In 2011 the U S Department of Transportation reported with 95 confidence that the average length of a motor vehicle trip in the United States was 9 72 miles with a margin or error of 0 22 miles With 95 confidence the authors of the report are claiming that the true average length of a motor vehicle trip in the United States is between miles and The level of confidence for this estimate is

3 A grocery store worker has to collect all the shopping carts left out in the parking lot He collects 4 carts and measures the length of the 4 carts he is pushing to be 51 inches He collects another cart for a total of 5 carts and measures the length of the 5 carts to be 57 inches a He sees that there are a total of 21 carts in the parking lot How long will the line of 21 carts be

A tunnel is constructed with a semielliptical arch The width of the tunnel is 70 feet and the maximum height at the center of the tunnel is 20 feet What is the height of the tunnel 10 feet from the edge Round your answer to the hundredths place 19 17 feet 16 41 feet 014 01 feet 10 30 feet

1 URE For f x x 6 and g x x 7 find the following functions a fog x b gof x c fog 3 d gof 3 a fog x Simplify your answer

Sheila works in a bookstore and sold 100 books She sold 28 more paperback books than hardback books How many of each type of book were sold Sheila sold 36 hardback books and 64 paperback books Sheila sold 72 hardback books and 28 paperback books Sheila sold 64 hardback books and 36 paperback books Sheila sold 28 hardback books and 72 paperback books

What does this math statement tell us AABC AXYZ B A X Z A Triangles ABC and XYZ are congruent this means their side lengths are equal to each other B Triangles ABC and XYZ are similar this means their side lengths are proportional to each other C Triangles ABC and XYZ are different they have different angles and their sides aren t

Based on probability and if it is appropriate for a decision to be left up to chance choose every situation that is both statistically fair an morally fair Situation 1 Situation 2 A high school student is deciding whether to first clean his room or do his homework He decides by picking a tile at random from a bag of lettered tiles If he picks a consonant he will clean his room and if he picks a vowel he will do his homework Situation 3 There are four candidates eligible for a vacancy at a company Ignoring qualifications and experience the recruitment manager decides which candidate to hire by writing their names on pieces of paper shuffling the papers and drawing one at random Five cousins are deciding which board game to play They each write their preferred game on a different section of a spinner that has five equally sized sections They spin the spinner and will play the game written on the section where the spinner lands To determine who can choose the spot for a picnic Kate picks a tile at random Situation 4 from a collection of five tiles numbered 2 through 6 Kate chooses the spot if she picks a prime number and Charles chooses if Kate picks a composite number Five roommates all want to attend an event but they only have four invites To decide who will attend they shuffle a set of five cards consisting of four aces and a king Each roommate is randomly dealt a card The ones dealt an ace will attend Situation 5 the event