Basic Math Questions and Answers

Establish the identity cos x cos y sin x sin y O A Which of the choices shows the key steps that can be used to verify the identity x y x y 2 x y 2 x y 2 2 sin x sin y B cot O C cos x cos y sin x sin y cos x cos y sin x sin y x y 2 cos x cos y sin x sin y 2 cos x y 2 sin x sin y 2 sin COS 2 cos sin x y 2 sin x sin y x y 2 COS x y 2 2 cos 2 sin 2 sin 2 sin 2 sin x y 2 x y 2 2 cos x y 2 COS sin x y 2 COS COS x y 2 x y 2 x y 2 x y 2 COS COS cot x y 2 cot x y 2 x y 2 x y 2 cot x y 2

Gmail D2L Brightspace O TRIGONOMETRIC FUNCTIONS Coterminal angles Answer the following a Find an angle between 0 a stw no

space ADDITIONAL TOPICS IN TRIGONOMETRY leron s formula area of the triangle below ur intermediate computations to at least

Brightspace O TRIGONOMETRIC IDENTITIES AND EQ Solving a basic trigonometric ec nd all solutions to the equation 2 cos 0 3 0 rite your answer in radians in terms o

Express the given sum as a product of sines and or cosines 7x 2 cos X 2 cos 7x X COS cos 2 S 1 2 Simplify your answer

y 11 59pm 175 ert 27 0 Points 38 X Page Form Data Revie View He Submitting

5 Mr Jameson pays 783 for health insurance 5 tim money does Mr Jameson pay for health insurance in a year B C D 4 288 54 588 4 698 4 783 A school is putting on a play The school auditorium has 48 rows Each row has 36 seats However 19 of the seats were empty Ho total seats in the school auditorium were used during the play

Find the exact value of the following expression 5m 6 tan Apply the sum and difference identities Choose the correct answer below A tan tan C sin O M G COS T 4 1 tan tan 4 tan tan 5 6 5 E sin COS 6 COS 5T 6 5 T 5 6 T 4 COS 5T 6 5T K sin COS 6 5x 6 sin 5A 6 TU tan 4 1 tan tan I 4 4 4 sin T 4 5t 6 5x tan tan 6 4 X 5t 1 tan tan 6 4 cos T COS sin 4 5T 6 5t 6 sin 5T COS sin 6 4 Find the exact value of the expression T 4 4 OB COS OF cos 5 6 L sin 4 ON cos J D cos COS sin 4 5t 6 T OH cos COS 4 5 6 COS OJ sin COS 56 cos 5t 6 COS T 4 COS 5T 6 J 4 5t sin sin 6 4 sin 5 6 5 6 5x 6 sin cos 5 6 sin J 4 15 0 sin sin 6 COS sin 4 5x T sin 6 4 sin sin 5 6 T T 4 4 T T 4 4 6 4 Simplify your answer Type an exact answer using radicals as needed Use integers or fractions for any number the expression Rationalize all denominators

Find the exact value of the following expression 5 6 tan Apply the sum and difference identities Choose the correct answer below 5x 6 O A O C tan O I E sin sin M 1 tan G cos OK sin T 4 5A 6 tan 5 6 tan T T T COS sin 4 4 1 tan 5A 5x 6 6 tan COS 5T 1 tan 6 5x 6 5 6 T cos sin 4 tan 5 6 tan COS 4 5 6 5 6 tan tan R 4 tan K 4 COS T 4 5t 6 COS sin 4 K 4 COS T 5T 5 6 6 sin T 4 4 I 5T sin 6 4 O B cos COS sin 4 JU I OD cos cos 4 4 OF cos OH cos O J sin OL sin ON cos 5T 5 COS 6 6 COS 5n 6 5 6 5 6 sin 4 5T COS 6 5T COS 6 sin 5t 5x 6 cos COS 4 6 sin sin 5T 6 I sin sin sin sin cos R 5 6 5 sin 6 4 R 4 sin T sin 4 56 R4 4

Q2 3 Marks A rectangular room was designed to be built for a length of 7 feet and a breadth of 4 feet Find the Absolute Error Relative Error and Percentage Error in the area of the room if there is a deviation in the length of the room by 7 feet and width by 8 feet after the construction

Liquid leaked from a damaged tank at a rate of r t liters per hour The rate decreased as time passed and values of the rate at five hour time intervals are shown in the table t hr r t L h 10 9 upper estimate F Find lower and upper estimates for the total amount of liquid that leaked out lower estimate liters 0 5 liters 10 15 20 25 9 9 9 1 8 3 7 5 6 9

4 2 points eBook Exercise 9 6A Algo Effect of warr To support herself while attending school Da Daun purchased the stereo systems for 160 warranty against defects in parts and labor E percent of sales During the year she paid 3 Required a Prepare an income statement and stateme

Question 8 of 14 Step 1 As part of a green initiative the Hamilton method to dete Itranscript

Question 10 of 14 Step 1 of 1 College dining is considering opening a national fast food franchise on can Arby s or Dairy Queen and will leave the choice to the students Students results are shown in the preference table Determine if the majority criteri Subway on campus Itranscript Votes 1st 2nd 3rd 4th 216 Subway Arby s Moe s Dairy Queen Preference Table 77 Dairy Que Arby s Subwa Doming 228 Subway Arby s Dairy Queen Domino s

Question 10 of 14 Step 1 of 1 180

Question 1 of 14 Step 1 of 1 The following preference table summarizes the outcome of an 1st 2nd 3rd 4th

Based on the historical data standard deviation of the teller service process was found to be 1 5 minutes Process mean is calculated as 3 8 minutes If service time specifications are respectively 5 and 2 minutes what is the process capability ratio Cpk and is process capable 1 Show your solution for Cpk 2 What does the Cpk you found say about the capability of the process with respect to spec limits Your Answer CPK 5 3 8 3 1 5 0 86 for CPk of 0 86 indicates that the process is not cabable of meeting the specification

Question 2 of 14 Step 1 of 1 Use the given preference table to determin there is no winner write N for your answ

uestion 14 V of 14 Step 1 of 1 s part of a green initiative California wants to apportion 150 e Hamilton method to determine how many of the vehicles s Student Enroll Campus Los Angeles Riverside En

stion 1 of 14 Step 1 of 1 following preference table summarizes the outcome of an election 1st wer 2 Points 2nd 3rd 4th Total votes Jared Sarah lan Chris 67 Rankings lan Jared Sarah Chr 51 Chri lan Sara Jare 15 ah is the winner using the plurality method Suppose Chris and lan drop out of the election erion O Yes because Jared does not win using the plurality r

Question 9 of 14 Step 1 of 1 The following table shows the number of votes for first Best Entertainer award Determine the number of tota receives 3 points a second place vote receives 2 points

Question 10 V of 14 Step 1 of 1 A wedding planning website asked visitors to rank the following by Sinead O Connor Love Me Tender by Elvis Presley Close to You by Billy Joel and You Made Me Love You by Al Jolson Use the ma 1st 2nd 3rd 4th Preference Joel Presle O Con Pries

SUDITI AssignmeTIC Question 5 of 14 Step 1 An English teacher at a high Use the Webster method to Answer 2 Points

Question 11 V of 14 Step Find the missing terms of t geometric or N for neither Answer 2 Points

Consider the following Predict the result of 66 Answer 2 Points

1 75 Determine the reactions at A and B for the beam shown in Figure P4 75 85 kN A 4 50 KN B 6 m FIGURE P4 75 4 m 2 m 15

4 3 Draw a free body diagram of member BD in Figure P4 3 15 mm 15 mm 40 mm B 10 mm FIGURE P4 3 C 60 mm 50 N D

In a given transistor amplifier RC 2 2 k and r e 20 02 the voltage gain is Select one O a 44 O b 2 2 O c 20 O d 110

When operated in cutoff and saturation the transistor acts like a Select one O a variable resistor O b linear amplifier O c switch O d variable capacitor

Listed below are the numbers of years that archbishops and monarchs in a certain country lived after their election or coronation Assume that the two samples are independent simple random samples from normally distributed populations Do not assume that the population standard deviations are equal Use a 0 05 significance level to test the claim that the mean longevity for archbishops is less thar for monarchs after coronation All measurements are in years Click the icon to view the table of longevities of archbishops and monarchs KELD O C Ho H1 H2 H H H possible What are the null and alternative hypotheses Assume that population 1 consists of the longevity of archbishops and population 2 consists of the longevity of monarchs OB Ho H H OA Ho H1 H2 H H1 H2 H H1 H2 H H OD Ho H1

Problem 2 Show that the system dx dt a11x a12y Ax 2Bxy Cy a21x a22y Dx 2Axy By dy dt is a Hamiltonian system with one degree of freedom provided that a22 11

the parabola s avs of symmetry Use the graphing tool to graph the equation Use the vertex and the y intercept when drawing the Click to The axs of symmetry is Tyge an equation Simplify your answer The domain offis Thyge your answer in interval notation The range of fis Type your answer in interval notation

In the following exercise find the coordinates of the vertex for the parabola defined by the given quadratic function f x 4 x 4 9 The vertex is Type an ordered pair ACCO

Julia has 5 00 to spend on lemons Lemons cost 0 59 each and there no tax on the purchase Which of the following inequalities can be used represent a the number of lemons Julia can buy

2 Using a Brute Force method with a tree diagram find the least expensive round trip that visits each cit vertex once Then using the Nearest Neighbor Algorithm attempt to find a route Are they the same Honoluha 200 San Frands CA 600 Houston TX 150 350 400 200 New York NY 150 Atlanta GA START HERE 250

Calculate and plot e for the following points z a 0 c i 1 3 d 37 i b i 1 e i m f m i 1 m 1 2 3 m 1 2 3

10 Find s if r 2yd w 95 s t 15sec b find tand eifs Sn r 9 and w rad s

is on a circle with radius r find a e b distance P traveled c linear speed if r 15cm w 165 deg sec 17sec

Betty makes daily deposits of 9 67 into a savings account If the account has an annual rate of 2 how much interest will she earn after 687 days Round your answer to the nearest dollar

Sam borrows a certain amount of money to help pay for expenses To pay back the debt he makes weekly payments of 276 If the loan carries an annual rate of 3 7 how much will he still owe when there are 23 payments left Round your answer to the nearest dollar

A peak elutes from a column at 22 9 min with a w column have N

Twenty years ago a very famous psychologist specializing in marriage counseling authored a book detailing the way in which she believed spouses should communicate She is now interested in the proportion of all couples who bought her book who stayed together For a random sample of 225 couples who bought her book she found that 177 of them stayed together Based on this compute a 99 confidence interval for the proportion of all couples who bought her book who stayed together Then find the lower limit and upper limit of the 99 confidence interval Carry your intermediate computations to at least three decimal places Round your answers to two decimal places If necessary consult a list of formulas Lower limit Upper limit X

4 Stephanie is offered two different salary options to sell major household appliances Plan A a 300 weekly salary plus 5 of her sales Plan B a 600 weekly salary plus 1 of her sales What must Stephanie s weekly sales be to earn the same amount on the two plans Write a system of two equations in two variables and so

mulas A P 1 r n nt and A Pe tt to solve the problem given Ro an investment of 20 000 for 6 years at an interest rate of 6 5 ift

3 Kailani bought a chain originally marked 53 85 The salesclerk told her she would get a 14 discount How much money did she save O 8 32 O 7 54 O 46 85

8 An investment firm invested 9500 into two accounts Some of the money went into an account paying 7 interest annually and the rest into an account paying 11 interest per year The interest per year amount to 1001 How much did the firm invest at 7

5 An investment firm invested 1100 into two accounts 700 went to an 4 annual rate account The rest went to a 9 annual rate account The interest the first year amounted to 1 11

1 If you bought a house today for 169000 you may expect to see an increase in value of 5 percent each year What will be the estimated value of your house two years from now Round to the nearest whole dollar

6 If sales tax is 5 00 what is the total cost of a 35 68 baseball glove

11 In a one hour TV movie the commercials show 22 of the time How many minutes of commercials are shown during the one hour duration of the movie Round to the nearest tenth of a minute minutes