Math - Others Questions

Arter enjoying the view for 2 minutes you walk down a 200 foot hill You reach the bottom in 4 minutes Without resting you walk up the hill at the same rate Let x represent time and y represent height A Graph the function that models this problem B Using linear and an absolute value equations write the piecewise function that models the graph c Identify the domain and range 225 200 175 150 129 100 75 50 25 Height feet

10T Find the length of the arc of a circle of radius 11 meters subtended by a central angle of 7 Round the answer to two decimal places 10 radian

7 Find the exact value of the trigonometric expression a csc 25 cot 25 b sin COS TL 12 cot 12

LSCO Find the exact value of each of the six trigonometric functions of the angle given th 0 5 and is in Quadrant IV 5 cos 0 1

Find the value of each of the six trigonometric functions of the angle 8 3P Sin0 Coso 4 b4 0 A stu

1 Convert each angle to the stated unit of measurement nptneon bonbar a Convert to radians 192 b Convert to degrees metent 7 T 9

0 0 College enrollments in the United States are projected to increase from 2012 to 2022 The models below give the projected enrollments among men and women in thousands where t O represents the year 2012 Number of Students Men m x 80t 8998 Women w x 212t 11 970 A Find m w B Sketch graphs of all three functions c Evaluate m w for the year 2018 28000 26000 24000 22000 20000 18000 16000 14000 12000 10000 8000 6000 1 D Create a function to represent how many more woman are enrolled in college than

1 T 3 5 4 3 2 1 A Domain Range 2 3 4 5 H x 5 4 2 X

0 product and is equal to the unit selling price p of the product times the number x of units actually in economics revenue R Is defined as the amount of money received from the sale of a sold That is R xp The Law of Demand states that p and x are related As one increases the other decreases Suppose that p and x are related by the following demand equation A Express the revenue R as a function of p x 4p 100 B What is the revenue if 18 units are sold c Sketch the graph of the revenue function D What quantity x maximizes revenue E What is the maximum revenue 0 p 25 700 600 500 400 300 Revenue dollars

6 H H 5 4 3 2 11 H Domain Range X

5 5 4 3 2 1 24 Domain Range 5 2 12 3 s y III 2 4 5 TH II X

8 3 Domain Range 543211 I H 4 5

HI 32 11 7 12 HILI Domain Range y X

9 5 4 3 2 14 Domain Range y X

4 Domain Range 5 3 5 4 3 2 11 3 5 HB 3 43 y2 2 X

3 TI 2 53211 12 f Domain Range y 7 WIT 234 5 X 4 XZ 2 1

22 a Use the grid to graph the function h x 2x 5 The domain is R X hex 2 TD N b Find the x 10 range 8 of h 6 4 2 0 2 2 et 2 4 X 3 UN G

S 2 5 4 5 2 2 14 3 y X 30 Domain x 2 Range 4 y 4

21 The function g x x 1 has domain 1 3 2 1 0 1 2 3 a Show the function as an arrow diagram D C 3 2 1 0 1 2 3 96 35 C 3 1 3 b Find the range of g x

D the lain and range of each relation State whether each relation is a function 19 Mother Janie Renee Lucy X 2 1 1 1 4 4 6 8 Daughter Disanie le Ro Adria Adriana Elizabeth Paula Yasmin f x 10 20 30 40

The volume of a sphere is given by the x where x is the radius of function f x the sphere Find a f 2 enees b f 10 3

If g x 2x 1 find 11 g 3 12 g 1 5

If f x 2x 1 find 4 f 1 6 0 5 f 20 7 f x 1

You own a bookstore and sales this month were 20 more than three times sales from last can month Next month you hope to double your sales from this month A Write a function for this month s sales B Write a composite function to represent the sales at the end of next month c To determine the money you hope to make next month evaluate the composite function last month s sales were 2400

State whether each set of ordered pairs represents a function 1 2 5 1 10 0 15 1 20 2 0 1 1 1 1 2 2 1 2 2 3 3 9 4 6 5 25 6 30

1 If f x x 5 find 8 f 4 9 f 80 10 f 100

Part 1 of 4 ints Skipped eBook Hint Print ferences Required information 1 In the Raw Materials Inventory T account insert amounts for beginning and ending balances along with purchases and indirect materials used Solve for dire 3 In the Work in Process Inventory T account insert amounts for beginning and ending balances along with direct materials used from part 1 direct labor us goods manufactured in the period 4 In the Finished Goods Inventory T account insert amounts for beginning and ending balances along with cost of goods manufactured from part 3 Solve fo under or overapplied overhead 5 In the Factory Overhead T account insert amounts for indirect materials used indirect labor used other overhead costs and applied overhead Solve for uni Beginning Ending Beginning Ending Raw Materials Inventory 0 Finished Goods Inventory 0 Beginning Ending Beginning Ending Beginning Ending Beginning Check my work Work in Process Inventory 0 Factory Overhead 12 000 57 500 119 500

The following table shows the production costs for The Flying Elvis Copter Rides Output Total Fixed Variable Marginal Cost Cost Cost Cost Helicopter rides Dollars Dollars Dollars Dollars 0 1 2 3 O 100 O 200 50 150 G M Refer to Table 13 7 What is the value of A O 25 50 A H N 0 B I O 1 C 120 P Average Fixed Cost Dollars per ride D J Q Average Variable Cost Dollars per ride E K 120 Average Total Cost Dollars per ride F L R

The following are the number of home runs hit by home run champions for the years 1975 to 1989 and for 2005 to 2019 Draw box and whisker plots for the distributions of the number of home runs hit for the two given time periods a 1975 1989 31 37 38 32 41 43 46 37 45 41 43 44 50 46 56 b 2005 2019 51 56 50 49 47 44 40 42 34 36 44 42 58 36 54 a Choose the correct answer below O A 30 O C 30 35 40 O A 35 40 30 O C 30 b Choose the correct answer below 35 40 H 35 45 50 40 45 50 45 45 50 55 50 55 60 55 60 Q G 55 60 Q 60 P Q Q Q O 2 OB H 35 30 O D H 30 35 40 OB 30 O D H 35 H 30 35 40 40 45 50 45 50 45 50 45 50 55 55 55 55 60 60 60 60 Q 5 Q Q 5 Q Q Q O S

The following table lists the income tax rates for a single person earning 30 000 per year for several states Complete parts a and b A C D E F G HO 4 83 7 51 3 05 5 12 4 15 3 43 5 66 5 33 State Income Tax Rate B a Find the mean and standard deviation for these data The mean is Type an integer or decimal rounded to three decimal places as needed C The standard deviation is Type an integer or decimal rounded to two decimal places as needed b Does the mean you found in part a represent the average state income tax paid by the people of these states Explain The states could have populations and the mean the average of the tax rates in effect for these states

K The accompanying table gives the gross domestic receipts for the top 10 movies Find the mean median and mode for each data set Explain which measure best describes a typical value in this distribution Click the icon to view the data table OA The mean is Round to two decimal places as needed OB There is no mean for these data Find the median Select the correct choice below and if necessary fill in the answer box to complete your choice OA The median is Round to two decimal places as needed OB There is no median for these data Find the mode s Select the correct choice below and if necessary fill in the answer box to complete your choice Domestic Receipts of Top 10 Movies Movie Title Movie A Movie B Movie C Movie D Movie E Movie F Movie G Movie H Movie I Movie J OA The mode s is are Round to two decimal places as needed Use a comma to separate answers as needed OB There is no mode for these data Which measure best describes a typical value in this distribution OA The median best describes a typical value in this distribution since the distribution appears to be slightly asymmetrical and contains some extreme values OB The mode best describes a typical value in this distribution since each value occurs roughly the same number of times OC The mean best describes a typical value in this distribution since the distribution is roughly symmetrical and does not contain any extreme values OD For this distribution the mean median and mode are equal so any value can be used to describe this distribution Print Total Gross millions 455 0 201 5 352 0 356 4 652 8 336 0 200 0 936 7 281 8 228 5 Done

The following are the heights in inches of the players in four basketball teams for a recent season Use classes of width 2 starting at 64 5 to construct a histogram Click here to view the heights of the players Choose the correct histogram below O A Frequency 62840 Frequency 16 12 O C 64 5 66 5 68 5 70 5 72 5 74 5 76 5 78 5 80 5 Height in Q 64 5 66 5 68 5 70 5 72 5 74 5 76 5 78 5 80 5 G Height in Data table Team A Team B Team C Team D C Frequency B Frequency 16 12 D 16 64 5 66 5 68 5 70 5 72 5 74 5 76 5 78 5 80 5 Height in 64 5 66 5 68 5 70 5 72 5 74 5 76 5 78 5 80 5 Height in 75 72 70 68 80 70 71 73 71 79 69 75 73 69 70 76 72 68 71 69 68 75 70 76 77 79 74 66 73 76 79 68 80 79 71 66 73 69 77 70 67 65 73 73 72 76 78 65 72 74 69 72 72 71 73 68 66 67 71 73 76 75 66 70 D X Q

This question 1 point s possible K The professor assigns grades in the modern poetry class according to where a student s average is located in the following diagram The averages in a class are 80 77 81 77 85 74 75 78 78 and 88 Suppose the professor assigns grades using the method shown below Averages on the border are assigned the higher grade F D C B mean 1 11 standard deviations mean standard deviation What grade does the person earning the 80 get The person will get a n A D C F mean mean standard deviation mean 14 standard deviations Submit quiz

Choose the correct histogram below A Frequency Click here to view the heights of the players Frequency 62840 O C 62840 64 5 66 5 68 5 70 5 72 5 74 5 76 5 78 5 80 5 Height in 64 5 66 5 68 5 70 5 72 5 74 5 76 5 78 5 80 5 Height in Q Data table Team A Team B Team C Toam D OB Frequency PANO O D Frequency 6284 64 5 66 5 68 5 70 5 72 5 74 5 76 5 78 5 80 5 Height in 64 5 66 5 68 5 70 5 72 5 74 5 76 5 78 5 80 5 Height in 65 65 79 78 75 75 65 72 79 66 69 65 71 72 70 74 66 74 70 80 72 68 79 66 74 79 79 74 80 80 69 67 77 72 66 69 75 68 66 79 80 68 72 75 69 68 67 67 66 70 80 70 78 75 66 73 65 80 67 70 80 67 69 75 D X Q fam

The following are the number of home runs hit by home run champions for the years 1975 to 1989 and for 2005 to 2019 Draw box and whisker plots for the distributions of the number of home runs hit for the two given time periods a 1975 1989 25 37 38 33 39 43 47 35 45 40 43 45 50 47 54 D b 2005 2019 49 58 49 48 47 43 38 40 31 32 43 40 59 37 53 a Choose the correct answer below A 20 25 30 35 40 45 50 O C H 20 25 30 35 40 45 b Choose the correct answer below OA 30 O C 35 40 35 40 45 45 50 50 50 55 55 55 55 60 60 E Q Q OB 20 25 30 35 40 O D 20 25 25 30 35 40 OB H 30 O D 35 40 45 t 30 35 40 45 50 45 50 55 55 45 50 55 55 60 Q Q Q Q G Q G

The manager at a coffee shop counted the customers once each hour over a few busy weekends The results she obtained are summarized in the bar graph to the right use it to answer parts a through d a What was the largest number of customers in the coffee shop and how often did it occur The largest number of customers was s It occurred time s b What was the most frequently occurring nonzero customer count The most frequently occurring nonzero customer count was c For how many hours were the customers counted hours d For what fractional part of the total number of hours were there more than seven customers in the coffee shop Type an integer or a simplified fraction Frequency 15 12 1 9 0 1 2 3 4 5 6 7 8 Number of Customers 10 11

A group of 20 students were asked how many times they visit a certain website per week and the following results were obtained Find the mean median and mode for the distribution 11 7 14 7 10 16 27 18 27 28 4 19 24 27 17 9 3 21 15 70 Find the mean Select the correct choice below and fill in any answer boxes in your choice OA The mean is Type an integer or decimal rounded to one decimal place as needed OB There is no mean for these data Find the median Select the correct choice below and fill in any answer boxes in your choice OA The median is Type an integer or decimal rounded to one decimal place as needed OB There is no median for these data Find the mode Select the correct choice below and fill in any answer boxes in your choice OA The mode s is are Type an integer or a decimal Use a comma to separate answers as needed OB There is no mode for these data

Izzy had an 81 and an 85 on his first two tests and believed that he did well enough on his final exam to keep his B average However when he got his grade he received a D He checked with his instructor and learned that the instructor had made a mistake by transposing the digits when he recorded the final exam grade If Izzy s incorrect average mean for the class was 68 what was his correct final exam score Izzy s correct final exam score is Type a whole number COLL

K Use the frequency table that contains the EPA mileage for 44 domestic cars to construct the corresponding histogram Click the icon to view the frequency table Choose the correct graph below O A Frequency PNADOO C Frequency TILIA A TR D K D T 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 MPG 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 MPG Data table MPG Frequency 19 2 Q 20 4 21 5 22 2 23 3 24 9 25 2 26 1 27 3 B 28 4 OB talye 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 MPG O D Frequency 29 7 MAMMMN 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 MPG 30 2 X 5

The points scored by Division A and Division B in the championship game in a recent 20 year period are given to the right Use classes of width 10 points starting at 0 to construct a back to back graph of the data Choose the correct graph below O A O C Aanba Frequency 10 B 0 9 10 19 20 29 30 39 40 49 50 59 Points Scored A 0 9 10 19 20 29 30 39 40 49 50 59 Points Scored B O D Frequency 0 9 10 19 20 29 30 39 40 49 50 59 Points Scored A B A G 0 9 10 19 20 29 30 39 40 49 50 59 Points Scored B 35 20 35 24 13 13 34 20 28 13 6 24 18 27 31 21 48 34 24 13 13 21 18 27 20 28 35 25 31 19 31 34 20 13 26 19

a What do the data in each graph represent i Graph A Distance of School Bus from School ii Distance from school km Number of students 16 12 8 4 0 Graph B Number of Students on a School Bus 32 24 16 d 8 0 8 00 8 30 9 00 Time h n 8 00 8 30 9 00 Time h b Identify the independent and dependent variables c Why are the points connected on one graph but not on the other

T Complete the passage to express sec t in terms of csc t if 0 t 2 sec t csc t csc t 1 csc t V csc t 1 csc t V csc2 t 1 csc t csc t 1

4 of 13 esources 2 Assume s is an angle with sin s It is an angle with cos t information together with appropriate identities to calculate tan s t 9 Give an exact answer Use symbolic notation and fractions where needed 3 tan st Give up Hint and both angles are between 0 and Check Answer 1 Use this 2

8 Which of these graphs represents a function Justify your answer Write the domain and range for each graph a b c e 4 2 0 2 y st 2 4 4 2 2 0 y y for 4 2 X 6 4 X X d 2 0 2 2 2 2 0 A y n 2 x 4

9 of 13 Use a product to sum formula together with the knowledge of special angles to calculate the value of cos 54 sin 4 24 24 Give an exact answer Use symbolic notation and fractions where needed Simplify your answer completely s 54 sin 24 COS P

1 of 13 Consider the triangle shown in the figure Let A 11 and B 5 in feet and the angle t radians 4 A t B Find the area of the triangle The angle involved is a special angle Give an exact answer Use symbolic notation and fractions where needed

10 Suppose a student drew a graph of each function described below For which graphs should the student connect the points Justify your answers a The cost of a custom made T shirt is a function of the number of letters on the T shirt b The altitude of a plane is a function of the time it is in the air c The mass of a baby is a function of her age d The cube root of a real number is a function of the number

n 6 of 13 Assume that sin x and sin y 5 sin x y I where x and 2 3 y 2n Calculate the indicated function value sin x y Give an exact answer Use symbolic notation and fractions where needed

7 Match the graph of each function to its domain and range listed below a c y 24 0 4 2 0 y 2 4 2 4 X b d 4 2 0 4 ly 2 0 2 2 4 4 i domain 1 x 3 range 2 y 4 ii domain 1 x 3 range 1 y 4 iii domain x 0 range y 2 iv domain 1 x 4 range 1 y 2

On 5 of 13 Macmillan Learning 4 Assume s is an angle with sin s t is an angle with cos t 7 Resources cot ts 2 and both angles are between 0 and 3 Use this information together with appropriate identities to calculate cot f s Give an exact answer Use symbolic notation and fractions where needed T 2 Check