Inverse Trigonometric functions Questions and Answers

The point A with position vector a No answer given on the line with vector equation The position vector of the point on that is closest to Ais and the distance between the point A and the line is Note sqrt k gives the square foot of the number k 161 41

Evaluate fx dx eff In arctan In are

2 Johan earns 1300 00 per bi weekly pay period He also receives a 100 car allowance per pay His employer pays 80 for his health insurance Calculate Johan s Employment Insurance premiums for the pay period assuming an El premium rate of 1 58

0 N cos and 0 Question Help Message instructor Question 18 then If sin 33 cos 0 with 0 90 find

Rewrite sin tan IW 4 0 W sin tan 4 as an algebraic expression in w

Rewrite cos tan w as an algebraic expression in w 1 cos tan w 0 0 6 X

When calculating volume with units measured in meters what are the final units in your answer O O m 3 m m

years of education from 8 through 24 Finally create a chart showing the BLS data as a scatterplot and add an auto trendline this chart showing years of education versus predicted average income superimposed on the BLS data and forecasting backwa to 8 years and forward to 24 years That is the line should start at 8 years and end at 24 years on the horizontal axis Here you should format your slope and y intercept as numbers with 0 decimal places and your average weekly incomes as Currency with the symbol and 0 decimal places In case you d like to explore the data numbers here are derived from Bureau of Labor Statistics figures at https www bls gov emp tables unemployment earnings education htm to this reference for the assignment Years of Education X 10 12 13 14 16 18 19 20 BLS Data Slope m Y Intercept 0 b Average Weekly Income Y 769 00 826 00 1 138 00 1 069 00 1 707 00 1 669 00 2 238 00 2 069 00 Best Fit Line Parameters Predicted Incomes Based on Best Fit Years of Education Average Weekly Income X Y m X b 8 9 10 11 12 13 14 15 16 17 However you don t need to take any steps relate 18 19 20 21 22

Put the letters in the diagram below in order of occurrence from youngest to oldest where position 1 is the youngest feature DCCCCCO Geced 9 8 7 6 5 1 DE G CAF 00 B E C D H C

Convert 2093 to a numeral in base 3 2093

a II Make an arrow diagram for the rule has a common factor other than 1 with OA O C TAR OB OD Time

Tom cut a square piece of cardboard for an art project Figure A is a diagram representing the cardboard Figure A 6 in

Let f x cos x on 0 2 find the x intercepts of f x The x intercepts are 0 x 0 and x 0

A writers usually creates how many acts for his or her TV Pilot O 5 or 6 0 6 or 7 04 or 5 O8 or 9

6 5 4 3 12 6 5 4 3 2 1 1 42 a 814 1 2 3 Write an equation for the graph above f x h 6 O Show Transcribed Text

Choose whether you would use substitution or elimination to solve the following systems of equations and why 1 x 2y 7 2x 5y 8 Level 2 3 x 4y 6 2x y 2 2 5x 3y 16 3x 6y 18 4 2y 4x 14 2x 10 y Choose whichever method you want to use to solve the following problems 5 Sharon has three times the money saved as Robert Together they have 80 How much do they each have 6 Rebekah and Mohammad have 125 saved up already with their clothing business For every shirt they sell they make 12 and for every hat they make 9 How many of each did they sell if they sold 22 pieces of clothing and their total saved at the end of the day is 350 including the savings they started with

The volume of a packing box is 5 x cubic feet The width of the box is x feet and the length is x 2 feet The height is given by the expression Which of these values of x make the expression undefined OA 0 only OB 5 only OC 0 and 2 OD 2 and 5 5 X X X2

Match each graph with the function rule graphed C V A B AV 5 5 5 V 5 5 5 5 5 V B y x 1 x 4 y C D x 1 x 4 y x 1 x 4 x 1 x 4

Emme Dunn Find Function Using Identity Type Jan 09 5 11 40 PM Watch help video Using the identity sin 0 cos 0 1 find the value of cos 0 to the nearest hundredth if sin 0 0 42 and 0 T

arccos cos arccos FIN 2

2 Would a linear function model the data from the table Justify your answer

Suppose that the speed of a particle moving on the x axis at time t seconds t 0 is given by V t 13 81 2 15t 10 By sketching a graph of V t estimate at what time the speed of the particle is a minimum OA At about t 4 seconds OB At about t 3 seconds OC At about t 5 seconds OD At about t 6 seconds

If you take out a balloon loan of 36 000 for 6 years at a interest rate of 9 5 and pay it all off at the end how much interest will you have paid in total Round to the nearest dollar

the measure of angle x 11 7 m 52 3 15 m 6 The top of a lighthouse is 100 m above sea level The angle of depression from the top of the lighthouse to the sailboat is 28 degrees Calculate the distance between the sailboat and the lighthouse 100 m 7 A firefighter is standing at the top of a 100 foot ladder to out a fire at a building The angle o from the fire fighter to the top of the building is 35 degrees The angle of depression from th firefighter to the bottom of the building is 40 degrees How tall is the building 100 n

NOTE This is a multi part question Once an answer is submitted you will be unable to return to this part Consider the given graph Answer the following questions for the given vertices of the graph e a d b c a es the list of vertices form a path in the graph ck to select e path simple ick to select me path a circult ick to select at is the length of the path Enter NA If it is not a path

ck and drag to make a recursive algorithm for finding the sum of the first n positive integers else return sum of first n 1 n 1 procedure sum of first n positive integer if n 1 then return 1 else return sum of first n n 1 else return sum of first n 1 n

12 For the information given state the value of the five remaining trig functions of 0 2 a sin and cos 0 0 5 2 c cos and tan 0 0 b tan 2 and sin 0 0 3 d cos 0 and sin 0 0 7 13 Given AABC answer the following round each answer to the nearest tenth a If a 12 b 8 and c 5 find ZC b If ZA 50 ZB 75 and a 20 find side b c If b 9 c 6 and ZA 67 find side a d If ZC 37 ZB 79 and b 13 find side a

Determine if p x x x 1 is primitive in Z x by attempting to construct the field elements that correspond to powers of the root a in Z x p x If so list the elements of the finite field

After Batman brought the Joker to justice the crime rate in Arkham City decreased by 12 Previously the crime rate was C incidents per 1000 people Which of the following expressions could represent the crime rate in Arkham City after Batman brought the Joker to justice Choose 2 answers A B E 22 25 C 0 88c C 1 12 0 12c c 0 12

7 For the prime p 73 compute the discrete logarithm log 62 using the Pohlig Hellman algorithm shown in class Note that g 5 is a primitive root mod p

Convert 0 238 into an equivalent ruler fraction 05 8 15 64 15 32

b h In the formula A 2 Find h if A 68 square inches and b 17 inches 12 inches O 8 inches 6 inches 4 inches 9

How many Gallons of penetrant are contained in a drum 2 feet in diameter and 42 inches tall 124 gallons 225 gallons 82 25 gallons 94 gallons

For the pair of polynomials given select all the points of intersection of their graphs g z 2 3 z 7 A z 7 a 8 13 b 7 0 c 2 9 d 5 10 e 7 0

A piece of sheet metal measures 17 3 8 wide If you want to cut this sheet into 5 equal pieces how far from the edge will you make the first cut 4 11 32 13 19 40 3 19 40 4 19 40

Let the position of a swinging pendulum in simple harmonic motion be given by s t a cos t b sin t where a and b are constants t measures time in seconds and s measures position in centimeters If the position is 4 6 cm and the velocity is 4 4 cm s when t 0 find the values of a and b a a 4 4 and b 4 6 b a 4 4 and b 4 6 c a 8 8000 and b 9 2000 d a 2 2000 and b 2 3000 e a 4 6 and b 4 4 f a 4 6 and b 4 4

Solve for t 0 t 2 24 sin t cos t 6 sin t t Give your answers accurate to at least two decimal places or in exact form as a Question Help Video Message instructor

General The pie chart below shows how the annual budget department Use this chart to answer the questions below Research Engineering Sales Marketing Media Support a Which department accounts for approximately one eighth of the annual budget Select One O b Approximately what percentage of the annual budget is used for Marketing and Sales combined Write your answer as a multiple of 10 that is 10 20 30 c If 8 of the annual budget is used for Media approximately what percentage is used for Sales 3 O 24 48 O 300 X S

As preparation for designing a new line of business wear a clothing manufacturer asked a large sample of department store customers What is your favorite color of dress shirt The pie chart below summarizes their responses Blue White Black Other Pink Grey a Which color was chosen by approximately one third of the customers Select One b Approximately what percentage of the customers chose Other or White Write your answer as a multiple of 10 that is 10 20 30 c If 10 of the customers chose Other approximately what percentage chose Pink O 3 O 5 O 20 X O 50

Here are the weights in pounds of a sample of 12 male eleventh graders 174 143 168 154 174 145 152 155 164 143 150 140 Send data to calculator Find the median weight of these students pounds

For each positive integer n 0 find the greatest positive number integer m such that 1 tan n 1 tan n mn Enter m701 Hint use the mean value theorem on the interval n n 1

1 Suppose tano and that the angle is in Quadrant 3 a Use only fundamental identities to find the exact value of cosp b Use the methods of Section 1 3 quadrant reference triangle to find the exact value of cosp c If you use the inverse tangent will you be able to find the approximate value of the angle based only on the inverse tangent In other words if you hit the inverse tangent button for 2 3 on your calculator will it give you the angle we are looking for Briefly explain d Find the approximate value of the angle rounded to the nearest whole degree e Write an expression for all coterminal angles to your answer to part d in radians

The bar graph shows that life expectancy the number of years newborns are expected to live in a particular region has increased dramatically since ancient times Find the percent increase in average life expectancy of the region from the Stone Age to 2016 Average Life Expectancy years 80 70 60 50 404 30 20 10 10 26 Stone Age 28 29 Ancient Middle Greece Ages 31 49 60 1900 1950 1980 Time Period Year 70 2016

2 For the function f x 3sec 0 5x 1 do each of the following a Find the Period b Write the Domain c Write the Range in interval notation d Draw 1 period of the graph Be sure to specifically label your x axis and y axis with the 5 key values in each period Be sure to also draw the vertical asymptotes

As CFO you are required to conduct analysis to show the Board if a proposed project should be approved Data related to the project is provided in Exhibit A Using your answers from the previous question your reason for the making the recommendation to the Board is npv5 Exhibit A Project s initial outlay Cash flow years 1 7 Cash flow year 8 Required return O when NPV 0 it will take away value from the firm O when NPV 0 it will add value to the firm when NPV 0 it will add value to the firm 000s 350 75 185 15 when NPV 0 it will add value to the firm

common inhabitant of human intestines is the bacterium Escherichia coli named after the German pediatrician Theodor Escherich who identified it in 1885 A cell of this acterium in a nutrient broth medium divides into two cells every 20 minutes The initial population of a culture is 50 cells a Find the relative growth rate hr 1 k b Find an expression for the number of cells after t hours P t c Find the number of cells after 8 hours cells d Find the rate of growth after 8 hours Round your answer to the nearest integer cells h e When will the population reach a million cells Round your answer to two decimal places

You have earned 8 point s out of 10 point s thus far What is Q 1 5 if f x cos x and Q x is centered at Round your answer to 4 decimals for example 0 1234 Your answer have compl Submit Welcome Soap2da

Categorize the following logical fallacy John Bardeen s work at the Advanced Institute for Physics has progressed so slowly that even his colleagues call him a plodder Hence it is prudent at present not to take seriously his current theory relating how strings constitute the smallest of subatomic particles Select an answer Post hoc Correlation implies causation Appeal to ignorance Straw man Ad hominem Appeal to consequence Appeal to authority Circular reasoning False dilemma

Solve the system by the method of substitution If there is no solution enter NO SOLUTION S x y x y x y 4 9 D

In a perfectly competitive labor market the industry demand curve is the industry supply curve is upward downward downward upward sloping downward sloping upward sloping upward sloping downward sloping vertical perfectly elastic and