Math Questions

only the values of for which the is defined which of the following is equivalent to the expression below Considering expression cos tan csc sec B Select the correct answer below O tan pcos p O sec p

Astrid is in charge of building a new fleet of ships Each ship requires 40 tons of wood and accommodates 300 sailors She receives a delivery of 4 tons of wood each day The deliveries can continue for 100 days at most afterwards the weather is too bad to allow them Overall she wants to build enough ships to accommodate at least 2100 sailors What is the number of ships Astrid can build assuming she receives the maximum possible amount of wood

Yesterday Ivan went on a bike ride His average speed was 9 miles per hour Today he went on another ride this time averaging 12 miles per days he biked for a combined total time of 11 hours Let x be the number of hours he biked yesterday Write an expression for the combined total number of miles he biked in the two days

A researcher for the EPA measured the amount of arsenic in the water near a sewage treatment plant Over 12 days he took n 40 measurements in ppb His sample data is summarized in the frequency distribution polygon shown below 12 10 oog D to 19 30 35 40 45 50 55 60 65 70 75 80 ans Arsenic innh How many measurements taken in this time frame were within 45 50 ppb

2 Slope Intercept Form 3 Standard Form Find the slope of the line shown on each graph below 4 6 5 9 3 4 and 3 8 10 5 7 and 3 1 1 Find the slope of the line that passes through the two given points 7 2 1 and 4 7 8 2 3 and 6 13 Graph the equations below using slope intercept form 11 y 3x 8 2 3 4 12 y x 1 5 4 5 6 7 8 9 10

9 Pam is comparing the prices of two different brands of peanut butter Each brand comes in different sizes and is sold at different prices She wants to determine which brand is a better deal She has recorded her data for Brand A in the graph below and her data for Brand B in the table below Cost Dollars 10 5 0 0 5 Brand A 10 Size Ounces I 15 20 25 Size Cost Ounces Dollars 5 3 75 7 50 10 Brand B 16 12 00

The sum of three numbers is 144 The third number is 6 less than the first The second number is 4 times the third What are the numbers First number Second number Third number 0 X S

10 pts A Gallup poll asked 1050 randomly chosen adults if they are familiar with the 2015 VW emissions scandal Of this sample 73 said that they were familiar with the scandal a Construct and interpret a 95 confidence interval for the proportion of all US adults that are familiar with the VW emissions scandal Show work for checking the necessary conditions constructing the interval and an interpretation

1 Determine the amplitude A period P and phase shift PS of the function f x 7cos 9x O O A 9 P A 7 P A 7 P A 9 P 2f 27 P 9 2T 2T 2T PS 7 9 PS 0 0 PS 7 9 PS 0 0

4 Consider the following scenarios using two strings Part A Is it possible to construct a square with the two strings Explain your answer Part B Is it possible to construct a rectangle with the two strings Explain your answer

O 4 3 The graph shows the line segment AB If Jadine draws the reflection of this line segment following the algebraic representation x y what are the new coordinates of point B O 3 4 O 4 3 A O 3 4 B

Tom is deciding whether or not he should become a member gym to use their basketball courts The membership cost is 135 Members pay 2 to rent out the basketball courts Non members can rent the court also but they have to pay 11 each time how many times would Tom need to rent the court in order for it be cheaper to be a member than a non member Enter a number only for your answer

Simplify and state the restrictions on the domain x 3 x 1 4 2 O x 1 2 x 3 x 3 x 1 2 3 Z 2 3 z 1 x 3 1 2 2 2 3 1 2 2 1 2 21 22 21 2 2 2 3 1 2 z2 3 1 2 z Question 4 x 3 2 2 x 1 272 21 2

8 pts The average speed of vehicles traveling of Interstate 5 Freeway 1 5 in California is 73 miles hour and the standard deviation is 4 8 miles hour Assume the speeds are normally distributed Write each answer in a complete sentence a What is the probability that a vehicle is traveling between 71 miles hour and 85 miles hour

Supervisor You are collecting email addresses from 74 customers per day which is emails per day about 90 of the daily goal of 67 80 81 82 83

01 34 49 Which statement best describes the difference between modality and format O The format used depends on the type of presentation whereas the modality gives the purpose O The format is the way information should be processed by the five senses whereas the modality is the way the information is organized O The modality used depends on the type of presentation whereas the format gives the purpose O The modality is the way information is designed to be processed by the five senses whereas the format is the way information is organized

What is the range of this function 2 FIT 3 Y 2 10 T it OA 0 00 O B 0 1 OC all real numbers where na 211 X

Question spinner contains the numbers 1 through 80 What is the probability that the number that is not a multiple of 12 Give your answer in fraction form

Sketch an angle 80 in standard position such that 0 has the least possible positive measure and the point 0 3 is on the terminal side of 8 Then find the values of the six trigonometric functions for the angle Rationalize denominators if applicable Do not use a calculator Choose the correct graph below SOA Ay Q Q OB A Q 2 OC Ay Q Q 5

One method that can be used to prove that both pairs of opposite sides in a parallelogram are congruent is shown in the given partial proof Complete the proof Given Quadrilateral MNOP is a parallelogram Prove OP MN ON MP 3 21 5 9 Statements Quadrilateral MNOP is a parallelogram OP NM ON PM LONP LMPN LOPNLMNP NP NP AONP AMPN OP MN ON MP OP MN ON MP 1 2 3 4 5 6 7 Reasons P

bacteria double in population using binary fission every thirty minutes If the initial population is 85 what lation of bacteria after three hours 5 440 4 550

All changes s 3 Appliance World places a markup on a washer dryer combination of 295 00 which is 35 based on cost Find the cost then the selling price What is the selling price of the washer dryer O 1 098 74 O 1 137 86 1 032 19

While warming up for a game two basketball players shoot balls in parabolic paths The path of the first player s ball can be represented by the function g x 2x 13x 7 where x represents the distance from the coach The path of the second player s ball can be represented by the function h x x 4x 21 Part A Find the distances in which the two basketball paths will cross Show all necessary calculations 4 points g x h x Part B Let f x Solve for f x in simplest form and determine all discontinuities 6 points

The dash lined figure is a dilation image of ABC with center of dilation P not shown Is the dilation an enlargement or a reduction What is the scale factor n of the dilation a Ob C Od A do 8 4 A op y reduction n 1 2 reduction n 2 reduction n 1 4 enlargement n 2 B X

Which equation matches the function shown in the graph 2 1 0 1 2 F4 O A OB O C OD NAT 2 nswer y 3 4 cos x 7 V E y cos x 1 cos x 1 y cos x kl 25 5T 3 2 E 4 HX 2 T

Aubrey recorded the low temperature in her home town each day for two weeks Her results in degree are 41 46 43 53 55 44 51 39 42 38 50 52 47 45 Which type of graph would best display whether there were more low temperatures in the 30 s 40 s O bar graph Oline plot Oline graph Ostem and leaf plot

At an amusement park the pendulum ride s movement from its starting position in meters can be represented by the equation f x 5cos 5 If x represents time measured in seconds since the ride first began at what times will the pendulum s movement be 10 meters from its starting position 5cos 2rn seconds 4rn seconds 2 2 n seconds 2r 4rn seconds

Find an equation for the graph shown AMADERA Mi 9 Type the equation of the given graph in the form y A sin wx or y Acos x y 0 Simplify your answer Type an exact answer in terms of Use integers or fractions for any numbers in the expression

Greg and Josh want to go whitewater rafting in 3 weeks Josh is able to save the 480 he needs to go on the trip by saving the pay he received for 5 hours of work each week Greg must save 8 hours worth of pay each week in order to have enough money How much more money does Josh make than Greg a 10 b 12 C 14 d 20 Please select the best answer from the choices provided

The scatter plot shows the number of years of experience x and the amount charged per hour y for each of 23 dog sitters in Ohio a Write an approximate equation of the line of best fit for the data It doesn t have to be the exact line of best fit b Using your equation from part a predict the amount charged per hour by a dog sitter with 14 years of experience Note that you can use the graphing tools to help you approximate the line Amount charged in dollars per hour 22 20 18 16 14 12 10 8 6 2 0 y xx x 2 x X 4 6 X xx X x 8 10 12 14 x Years of experience x 16 18 20 22 A X 2 a Write an approximate equation of the line of best fit 0 b Using your equation from part a predict the amount charged per hour by a dog sitter with 14 years of experience 0 X

10 Pistons in car A are extending twice as long as pistons in car B Compare the graphs of the piston extension of car A to the graph of the piston extension of car E over time O The amplitude of the graph for the pistons in car A is half the amplitude of the graph for the pistons in car B O The amplitude of the graph for the pistons in car A is twice the amplitude of the graph for the pistons in car B O The period of the graph for the pistons in car A is half the period of the graph for the pistons in car B O The period of the graph for the pistons in car A is twice the period of the graph for the pistons in car B

The numbers of items that customers purchased using a self checkout lane ar shown 8 4 6 5 4 3 15 4 4 1 10 3 4 12 7 2 4 6 21 18 4 10 13 4 Which measure or measures of central tendency best reflect the data Select EACH correct answer Omean mode median

What are the midline amplitude period and graph of the function f x cos 2 2 k 3r TE 2 f x Ame 0 2 TO 3m will be used f x m It 11 3r 4 2 4 3n 11 X 2 0 1

5 Use the Method of Elimination to find the equation of the line in y mx b form that passes through each set of points Set up a system first like we did Exercises 3 and 4 from the lesson Then solve the system for the slope m and the y intercept b a 3 10 and 5 18 b 2 5 and 6 7 6 Lilly and Rosie are sisters The sum of their ages is 19 and the positive difference of their ages is 9 Set up a system of equations involving Lilly s age L and Rosie s age R assuming that Lilly is the older child Solve the system to find their ages 7 Shana bought sodas and popcorn for the movies Sodas cost 3 each and popcorn costs 4 per bag Shana bought 7 things from the concession all either sodas or bags of popcorn Shana spent a total of 26 Write a system of equations involving the number of sodas s and the bags of popcorn b Solve the system to see how many of each Shana bought

Which of the following represents vector w 45i 28j in trigonometric form Round 0 to the nearest degree O w 53cos 32 i 53sin 32 j w 53cos 148 i 53sin 148 j w 35sin 32 i 35cos 32 j SH w 35sin 148 i 35cos 148 j

16 Pete Ross read in a Wall Street Journal article that the cost of parts and labor to make an Apple iPhone 4S were as follows Wireless Camera Additional items Display 43 00 Memory Labor 26 90 5 00 24 99 17 56 81 55 Assuming Pete pays 661 for an iPhone 4S how much profit does the iPhone generate Inva

The vertices of a figure and the scale factor n are given below Find the vertices of the figure after the transformation 1 2 4 7 2 5 with n 4 O 5 6 8 11 6 1 1 3 O 4 8 16 28 8 20 2 4 4 7 4 5

A college requires all incoming freshmen to live on campus The college has two freshman dormitories East and West For an upcoming school year there are 800 Incoming freshmen Which method evenly assigns the students to the two dormitories so that each Incoming freshman has a fair chance of being selected for either dormitory OA B Using a random number generator assign each incoming freshman a number eliminating any duplicate numbers Assign each Incoming freshman with a positive number to East dormitory and assign each incoming freshman with a negative number to West dormitory D Using a two sided coin flip a coin for each incoming freshman If the coin lands on heads assign the freshman to East dormitory If the coin lands on tails assign the freshman to West dormitory OC Using a random number generator assign each incoming freshman a number eliminating duplicate numbers After each incoming freshman is assigned a number list the assigned numbers in ascending order Assign the first 400 numbers on the list to East dormitory and assign the last 400 numbers on the list to West dormitory Using a random number generator assign each incoming freshman a number eliminating any duplicate numbers Assign each incoming freshman with an even number to East dormitory and assign each freshman with an odd number to West dormitory

20 A Formula 1 race car is re created as a toy car reduced by a scale of 12 how tall is the race car Hint take note of the units a 0 75 m b 1 13 m c d 0 94 m 0 56 m If the model version is 7 8 cm tall

The results from a test to detect the presence of a bacteria in a sample are shown in the table Test is positive Test is negative 68 58 126 Contains bacteria Doesn t contain bacteria Total OA OB 0 03 OC 0 46 What is the probability that the result of the test is positive given that the sample doesn t contain the bacteria 0 001 2 1 872 1 874 D 0 54 Total 70 1 930 2 000

Find the area of each composite figure All curves are circular arcs with centers shown Round your answers to two decimal places a 4 cm 2 cm 7 cm

3 A cone shaped paper cup has the dimensions shown in the diagram B 84 82 cm J D 6 cm Which measurement is closest to the lateral surface area of the paper cup in square centimeters A 106 03 cm C212 06 cm 4 5 cm 169 65 cm 7 5 cm

Question 3 of 20 Which of the following is the best definition of the domain of a relation A The set of all allowable output values or x values B The set of all allowable input values or y values C The set of all allowable output values or y values D The set of all allowable input values or x values SUBMIT

Match the expressions on the left which represent distance between two points with their corresponding points on the right 5 3 6 1 2 0 4 8 2 2 5 0 4 1 1 7 3 DRAG DROP THE ANSWER 5 4 2 0 3 1 5 6 1 3 1 7 4 2 0 8

Yolanda wants to measure the height of a tree She sights the top of the tree using a mirror that is lying flat on the ground The mirror is 34 ft from the tree and Yolanda is standing 11 6 ft from the mirror as shown in the figure Her eyes are 6 ft above the ground How tall is the tree Round your answer to the nearest foot The figure is not drawn to scale 34 ft 11 6 ft 6 ft

17 During a word game Sara draws tiles at random from the group of letter tiles shown below A B B L 1 16 3 E R S C R A T T If each tile is replaced after being drawn what is the probability that Sara draws a letter from her name on the first draw and a letter not in her name on the second draw E A C D 1 2 L E T T B B E 9

Use the following scenario to solve the first four problems A card is drawn from a card deck Tell whether events A and B are inclusive or mutually exclusive and then find the probability 2 Tell whether events A and B are inclusive or mutually exclusive and then find the probability Note Do not include Aces as face cards A The card is a 10

13 The dimensions of a cube and a rectangular prism are shown in the diagram X X 12 mm3 Cube X 2x 3x 4x Rectangular Prism If the volume of the cube is 125 mm what is the volume of the rectangular prism A 1 125 mm C 1 500 mm B D 3 000 mm

14 Snacks at the spring carnival are sold in containers shaped like a cone or a cylinder The dimensions of each container are shown in the drawing 4 in G 80 in 3 12 in 3 in What is the combined volume of the cone and the cylinder in cubic inches F 72 in H 136 in 3 264T in 3 J 8 in

Triangle RST has vertices at R 4 7 S 6 3 and T 2 3 Jennifer believes that the perimeter of ARST is 26 square units Why is Jennifer incorrect O A Because RS 6 units RT 6 units and ST 4 units B Because RS 20 units RT 20 units and ST 4 units C Because RS 10 units RT 10 units and ST 8 units D Because RS 20 units RT 20 units and ST I 16 units