Complex numbers Questions and Answers

Suppose A and B are angles in standard position with sin A 4 5 and sin B 1 3 Find the exact value of cos A B if A is in Q2 and B is in Q3

Two urns contain white balls balls and the second urn conta each urn What is the probabi

A Ferris wheel with a diameter of 100 feet completes 2 5 revolutions per minute What is the period of the function that describes the height of a seat on the outside edge of the Ferris wheel as a function of time

Sketch a graph of f x z 2 1 5 4 3 2 Clear All Draw Question Help 3 5 2 2 3 4 LT in NOVES Tr

Solve the system of quations 9x 2y 16 and 4x 3y 5 by combining the equations try 9x 4x 9x 2y 16 3y 5 2y 16 5 4x 3y ox 0y

When John s father was 31 John was 8 years old Now John is twice younger than his father How old is John

An elevator has a weight capacity of 2845 kg An average person s weight is 176 lb What is the maximum number of passengers allowed in the elevator Round to the nearest whole number

Find the quotient 4x 13x 2x 7 x 3x 2 For the toolbar press ALT F10 PC or ALT FN F1

Plot the point 3 60 Then determine what is not an equivalent point and find the rectangular coordinates of the given point Which of the points below is not equivalent to 3 60 OA 3 240 OB 3 420 OC 3 240 OD 3 120 In rectangular coordinates 3 60 is Type an ordered pair Simplify your answer including any radicals Use integers or fractions for any numbers in the expression KIIR Choose the graph of 3 60 below OA OB 180 C 180 270 270 10 Q OU SON Q 1805 D 90 EN920 270 270 0 90 Q Q 0 6 2 57

A linear function is given Complete parts a d h x 4x 5 a Determine the slope and y intercept of the function The slope is Type an integer or a simplified fraction The y intercept is Type an integer or a simplified fraction b Use the slope and y intercept to graph the linear function Use the graphing tool to graph the function Use the slope and y intercept when drawing the line Click to enlarge 10 D 10 18 6 2 8 Ay

f x 2x 1 dan g x 3x 4 maka nilai fungsi gof x

2 Check Your Understanding M R 1 If PS 6 what is the perimeter of PQRS 3 If m2PSM 22 calculate m2RSM and mZSPQ 2 If PQ 3x 7 and QR x 17 solve for x 4 If m2PSM 4x 5 solve for x

Given the graph below determine the intercepts If there is more than one of a particular type of intercept give your answer as a list of ordered pairs 543 24 3 4 st I intercepts y intercept 2

Solve the inequality algebraically Express your answer using set notation or interval notation Graph the solution set Vefly your results using a graphing ulay 7x 56 Dan sary awer x to compress your cho OA The solution set is Type your answer in interval notation Use integers or fractions for any numbers in the expression OB The solution is the empty set Graph the solution set Choose the correct graph below OA OC OE 10 4 6 A 2 0 2 2 6 2 19 10 OB OD OF 10 10 0 2 2 Submit

58 M EVEILLARD FRANCHETTE A data analyst investigates the relationship between the consumption of natural gas in millions of cubic feet by each state and the amount of natural gas generated in megawatt hours by each state She finds that the data have a linear relationship with a correlation coefficient of 0 98887 The analyst writes the following conclusion based on the data Select the word and phrase that completes the conclusion the analyst draws from the data A positive correlation coefficient indicates that the linear fit of the data is strong which conclusion that a prediction using the data will show that the increase of natural gas consumption is the increase in natural gas generation the

Find the distance d P P2 between the given points P and P P 0 0 P 5 4 d P P Simplify your answer Type an exact anar CITE

K Find an equation of the line L Lis perpendicular to y 3x The equation is Type an equation Use integers or fractions for any numbers in the equation Simplify your answer

42 No Save Pause End Test For the last five years Mahiya has collected data on the population and the number of supermarkets in her city Mahiya finds the regression equation for the data using x for the number of supermarkets and y for the number of people in hundreds of thousands The equation is y 2 14x 0 63 with a correlation coefficient of 0 84 Given her data which conclusion can Mahiya make ASince the correlation coefficient is positive she can conclude that the population of her city and the number of supermarkets are negatively correlated B Since the correlation coefficient is positive she can conclude that the population of her city and the number of supermarkets are positively correlated Since the correlation coefficient is positive she can conclude that the increase in the number of supermarkets population

1 Determine whether the graphs of the two given equations are parallel perpendicular or neither 2x 5y 6 5x 2y 9 Hint Write the equations in slope intercept forms compare the slopes without graphing

Is x 2 y a solution of the given system of equations 2 3x 4y 4 2x 6y 2 Is the first equation satisfied No Yes Is the second equation satisfied OYes O No As a result is x 2 y 2 a solution of the given system of equations You

Back Next Save Pause End 47 EVEILLARD FRANCHETTE Ahmad surveyed 100 people He asked each person whether he or she wears a watch and whether he or she ha cell phone The results of his survey are shown in the table Wears a Watch Does Not Wear a Watch Has a Cell Phone 39 52 Does Not Have a Cell Phone 8 1 Which statement about the people Ahmad surveyed is correct AA person is 8 times more likely to wear a watch than he or she is to not wear a watch rhe is to not wear a watch

Prove this identity You may choose to algebraically manipulate one or both sides of the equation to justify the equivalence

form identify the degree V leading coefficient of the polynomial classify the polynomial by the number of terms Number of terms write the polynomial in standard form identify the degree leading coefficient of the polynomial classify the polynomial by the number of torms 1 3z 3z 7 4z

52 Year Florida s Population 1900 1910 1920 1930 1940 1950 1960 528 542 752 619 968 470 1 468 211 1 897 414 2 771 305 4 951 560 She finds the regression line where x is the time in years and y is the population of Florida after 19 y 65 126 32143x 48 343 78571 Which is the best interpretation of the rate of change

61 The symphonic choir and the jazz choir are recording songs for an album The album can be no more than 72 minutes long The jazz choir records 7 songs with an average of 3 minutes per song Each symphonic choir song is an average of 3 5 minutes long What is the maximum number of songs the symphonic choir can record 1 4 A 2 5 3 6

ack Next Save Pause 53 EVEILLAND FRANCHETTE Which system of equations can be solved to find the number of seconds that Marla collected water from the cold water faucet c and from the hot water faucet h Ac h 5 3c 4h 78 Bc h 5 3c 4h 78 c h 5 3c 4h 78 Dc h 5 3c 4h 78

k Next Save Pause 48 EVEILLAND FRANCHETTE E A survey was conducted with 420 families to determine whether they recycle or compost The results show that 20 of the families compost and 65 of families recycle The results also show that 72 families recycle and compost Complete the two way table to show the possible results of the survey Compost Do Not Compost Total Recycle Do Not Recycle Total 420

Write a brief summary of how plugging in the answers works on the ACT Summarize the steps as shown in the readings

13 Rational Root theorm not ratione factor 3x 2x 1 Suf D C

y x 2 4x 2 2x y 5 an move the parabola by dragging the dots

Consider the function y x 5x 7 a Complete the square to find the vertex b Find the y intercept Use the vertex the y intercept and the symmetry of parabolas to fir third point and sketch the graph

Question 27 Y of 34 Step 1 of 2 One positive number is 5 more than tv Step 1 of 2 Set up an equation to solv Answer Answered 2 Points

5 Simplify 3 5 2i 4 2 3i a 35 18i b 35 6i c 35 42i d 37 42i e 23 42i

For the given linear function make a tabl f x 3x 2

3 10 y 0 25 W 10 a y 10 x I 4 Choose the equation that represents exponential decay 5 b y 3

Question 16 Answer 2 Points of 34 Step 1 of 1 The line will be drawn once all required data is provided and wi X Choose the type of boundary line

3 Factor Completely 27d 8

Graph the solution set of the inequa 7 x22

Retirement Planning To supplement her pension in the early years of retirement Lucy plans to ise 200 000 of her savings as an ordinary annuity that will make monthly payments to her for 20 years If the interest rate is 5 0 how much will each payment be PMT 1 1 0 PV PMT Present Value of an Ordinary Annuity The present value PV of an ordinary annuity is given by 1 1 5 PV PMT or PV PMT where PMT is the payment at the end of each period i r m is the interest rate per period r is the annual interest rate mis the number of periods per year and n is the total number of periods

3 23 I appreciate your patience and hope to see you all soon Thanks What does I will be out tomorrow mean Does that

1 point Match each pair of inequalities with the graph of the polar region it describes C 1 3 r 4 and 7 2 0 3 2 GV 2 3 r 4 and 2 0 2 D 3 3 r 4 and 0 0 2 B v4 0 r 3 and 0 0 2m 5 0 r 3 and 0 0 3 4 A B E Dv6 0 r 3 and 3 4 0 3m 2 7 0 T 3 and 1 2 0 3 4 8 0 r 4 and 3r 2 0 2 A D LTTI DO D B E D F

6 Given the function f x x what will happen to point A 5 3 when f x is replaced with x 2 52 Write the new coordinates

3 200 80 32 r 0 4 FIVE

FI Graph the solution set of the inequality whe 1 x 1

Simplify 54 48 6 2 3 O 36 O 12 92 2

f x 9x2 6 if 0 x 5 3x 2if0 x 5 f 10

Evaluate the function at the given values f x x 3 a f 1 b f 1 c f 0 a f 1 Simplify your answer b f 1 Simplify your answer c f 0 Simplify your answer

Decide which method of data collection you would use to collect data for the study Specify either observational study experiment simulation or survey A study where a political pollster wishes to determine if his candidate is leading in the polls survey simulation O experiment observational study

What is the degree of the polynomial that was graphed MM Degree 2

Find an nth degree polynomial function function value n 3 2 and 2i are zeros f 1 15