Complex numbers Questions and Answers

Which graph shows all of the values of x that make the following statement true 4 64 O 3 3

1 X 1 4 2 Partner Practice Solve for the unknown in the following equations 2 2 4 X 3

Solve the following equation for x 3 10 71 O Ox 2 x 4 X 1 x 8

Solve the following equation for x 3 243 In the blank list only the solution just the number only

An exponential function is of the form f x a c which is shown in the graph Which of the following must be true of the parameter c c 0 Oc o Occo 0 Oc 1 asymptote f x

Find the exact value of the expression tan arcsin Jestion 7 of 20 mus po This question 5 point s in Type an exact answer using radicals tan arcsin

A exponential function shown below is of the form d x b c 5 4 Lop d x 2 1 3 1 122 2 to 1 2 3 4 5 Which of the following is true about the parameters of d x b c The parameter b must be 2 b 2 The parameter b must be 1 b 1 The parameter c must be 2 c 2 The parameter c must be 1 c 1

the values of 0 for which 2 sec Ocos 20 is defined 2 sec Acos 2A

31 1 i Find the quotient 31 and express it in rectangular form by first converting the numerator and the denominator to trigonometric form Type your answer in the form a bi Use integers or fractions for any numbers in the expression

A WLAN is required to have the minimum Eb NO of 10 dB in an indoor offi c environment The background noise at 2 4 GHz is 120 dBM If the transmit power is 20 mW and there is no line of sight NLOS between the AP and mobile terminals what is the coverage of the AP Assume a data rate of 1 Mbps and channel bandwidth of 0 5 MHz Use the joint technical commitee JTC path loss model in which for NLOS conditions in the indoor offi ce environment path loss at the first meter A is 37 7 dB and path loss exponent is 3 3 Assume power loss from the fl oors to be 1 dB and a shadow effect of 10 dB

A red cross helicopter takes off from headquarters and flies 75 km at 55 degrees south of west There it drops off some relief supplies then flies 80 km at 25 degrees west of north to pick up three medics If the helicoper then heads directly back to headquarters find the distance and direction it should fly Give your answers rounded to one decimal place Distance 77 7 Direction 81 8 x km x degrees North of West

An elm tree that is 6 meters tall casts a shadow 8 meters long If a nearby redwood tree is 12 meters tall how long will the redwood tree s shadow be Write your answer as a whole number or a decimal Do not round

The function graphed on this coordinate grid shows f x the height of a dropped ba in feet after its xth bounce bounce 1 bounce 2 Height of Ball feet hounce 3 f x 25 20 15 10 5 Number of Bounces On which bounce was the height of the ball 10 feet 2 X

Graph the solution set of the system of inequalities x 2y22 x y 0 O A O LY OB Q 5 O C Q Ly OD E E P

Juan and Patti decide to see who could read the most books in a month They began to keep track after Patti had already read 5 books that month This graph shows the number of books Patti read for the next 10 days Number of Books Read Books 5 O 10 15 20 25 20 15 10 s 1 2 3 4 5 6 7 8 9 10 Day If Juan hasn t read any books before the fourth day of the month and he reads at the same rate as Patti how many books will he have read by day 12

Solve the equation using the quadratic formula 3x 10x 2 OA OB O C O D 5 31 3 5 19 6 5 19 3 10 19 3

Consider the graph of the function shown at the right is h x Which of the below options shows the correct intercept form of the graph h x x 1 x 3 h x x 1 x 3 h x x 2 x 1 h x x 1 x 3 y 3 54 3 2 1 N 2 h x

log 6 610 X O A 5 O B 60 O C 30 OD 5

Graph the function Give the domain and range f x log 4x A domain 0 0 range 0 00 OB domain 0 0 range 00 00 Q O C domain 0 0 range 0 00 Ay Q 5 O D domain 0 0 range 0 00 Ay Q Q 27

Solve the equation by the zero faci 18x 33x 14 0 O A OB O C O D N w 2 7 3 6 3 2 6 9 9 2 71 3 6 operty

Solve the equation 4 x 2x 10 8 5 4 5

and a is in quadrant IV and cos 8 1 point Given sin a 9 Note You are not allowed to use decimals in your answer sin a 8 VII and 2 B Use sum and difference formulas to find the followin 0

Find the function value If the result is irrational round your answer to the nearest thousandth G 4 Let f x OA 64 1 12 OB O C 1 64 1 OD 27 X Find f 3

Decide whether the equation is an identity a conditional equation or a contradiction Give the solution set 2 5x 5 10x 10 0 OA Contradiction B Identity all real numbers C Conditional 0 D Conditional 5

Graph the curve whose parametric equations are given and show its orientation Find the rectangular equation of the curve x 2t 5 y t 6 0 t 4 Choose the correct graph below LY The rectangular equation of the curve is 12 0 0 X 30 30 0 0

For X 39 n 69 X 19 and n 64 find p and q Round your answers to 3 decimal places as needed P 0 9 0 p

State whether each polynomial is a difference of two squares If it is factor the expression 1 n 81 4 9x 144 2 a 121 5 2x 9 3 n 16 6 4w 9

2 Multiply the matrices B 1 1 3 5 14 6 3 4 3 6 5

v 2 V49 100 9v 6An 20 n 30n 5 35 LO 10 B D n 3 21n 8 9n 14a 10a Sa 45 B D 2a 5 a 9 a 6 9a 8 A 8 7 x 4 5 10 4 9 n 3 10n c n 9 n 2 A 10 7n 6 2n n 6 18n 27n 21m 18 B 1 A D 612 k 3 3x B 12k 60k 10k 36k 70 5k 22k 21 42 100 4 k 3 k 3 B D D 2 3mn 46 n 2 27n 8 k 8 k 10 54k k 9

2 4 2 6x 6 8 10 4 A 9x C A 1 1 0 5 r 6 r 2 C 9 9 10r B 7 D 2 6 5 9x 20 2 5 r 5 r 2 10 B r 9 D r 8

3 Karen invested 2025 into a savings account She will receive a 5 2 interest rate compounded monthly What is the value of her account after 9 years

Find the standard form of the equation of the hyperbola satisfying the given conditions x intercepts 24 foci at 26 0 and 26 0 The equation in standard form of the hyperbola is Simplify your answer Use integers or fractions for any numbers in the equation

Graph the hyperbola Give the domain range center vertices foci and equations of the asymptotes x y 225 64 1 x y Give the equations of the asymptotes for the hyperbola 225 15 OA y 8x 8 O B y 15X 225 O c y X 64 64 OD Y 225 x 1 has foci at 1 Choose the correct answer below 64 comma to separate answers as needed Type an ordered pair using intege

For the ellipse shown give the domain range center vertices and focl 16 9 1 Type your answer in interval notation Find the center Type an ordered pair Find the vertices Type an ordered pair Use a comma to separate answers as needed Find the foci CECH A

Question 1 13 Jse the dropdown menu to indicate the ustification of the previous step to the current step when solving the equation 3 5 2d z Statement 3 1 5 2d z 3 2 2d2 3 3 d 2 8 4 d 4 16 21 21 Justifi 1 Giv 12 3 4

Question 1 3 Which pair of functions are inverses of each other 9 2 2 5 f x 10x 10x 5 g x f x 7x 4 g x 3 5 0 0 0 2 f x x 9 g x x 5 3 4x 11 1 9 6 x 3 f x 6x 30 g x x 5

Question 1 2 Write an equation for the inverse of g x 3x 8 g x 8x O g x 8 00 O g 3 X 1 3 3 x 8 08 x O g 8 3

Question 1 11 Evaluate 27 8 27 8 27 27 8 81 36 I 3 2

Question 1 16 Which of the following is equivalent to 2 6 2 6 5 2 6 2 6 5 2 6 2 O 2 6 2 6

9 3 27

Question 1 10 3 Determine an equivalent form of 108a5 V 4a 4a 3 3a 4 1 6 36a 3a4a

Graph the hyperbola Give the domain 64x 81y 5184 Graph the hyperbola Choose the correct graph below OA Q Q OD Give the domain for the hyperbola 64x 81y 5184 4 9 U 9 00 Type your answer in interval notation Use integers or fractions for any numbers in the expression Type an exact answer using radicals as needed Give the range for the hyperbola 64x 81y 6 5184 Type your answer in interval notation Use integers or fractions for any numbers in the expression Type an exact answer using radicals as needed

Graph the hyperbola x y 9 Give the domain range center vertices foci and equations of the asymptotes for the figure Type ordered pairs Use a comma to separate answers as needeu The foci are 3 2 0 3 2 0 Type ordered pairs Type an exact answer using radicals as needed Use a comma to separate answers as needed What are the equations of the asymptotes Choose the correct answer below OA y 3x B x y OC x 3y D y x Graph the hyperbola x y 9 The domain is 3 U 3 00 Type your answer in interval notation The range is tenual notation 4 Choose the correct graph below O A OB OD Q Q

Graph the hyperbola Give the domain range center vertices foci and equations of the asymptotes 25y 49x 1225 Simplify your answer Type an exact answer using radicals as needed Use a comma to separate answers as needed Type an ordered pair using integers or fractions 1225 Choose the correct answer below Give the equations of the asymptotes for the hyperbola 25y 49x 49 OA y 25x 5 B Y 7X 7 c y 5 25 OD Y 49x X rei of J www 4 word as needed Type an ordered pair using integers or fractions

Graph the hyperbola 25 49 equations of the asymptotes for the figure 5 OA X 7Y What are the equations of the asymptotes Choose the correct answer below 7 B y x 5 c y 7x 1 Give the domain range center vertices foci and 7 OD X 5Y Graph the hyperbola j x 25 49 1 CH The domain is Type your answer in interval notation Choose the correct graph below O C Q OB OD Q Q

Graph the hyperbola Give the domain range center vertices foci and equations of the asymptotes 64x 81y 5184 The hyperbola 64x 81y 5184 has its center at 0 0 Type an ordered pair The hyperbola 64x 81y 5184 has vertices at 9 0 9 0 Simplify your answer Type an exact answer using radicals as needed Use a comma to separate answers as needed Type an ordered pair using integers or fractions Give the equations of the asymptotes for the hyperbola 64x 81y 5184 Choose the correct answer below 64 A Y 81 8 OB y x 81 O c y 64x 9 8x OD y A

20x 560 7y Simplity your answer Type an ordered pair The vertices are 0 4 5 0 4 5 Simplify your answer Type an ordered pair Type exact answers for each coordinate using radicals as needed Use a comma to separate answers as needed The endpoints of the minor axis are 2 7 0 2 7 0 Simplify your answer Type an ordered pair Type exact answers for each coordinate using radicals as needed Use a comma to separate answers as needed The foci are 0 2 13 0 2 13 Simplify your answer Type an ordered pair Type exact answers for each coordinate using radicals as needed Use a comma to separate answers as needed Choose the correct graph of the ellipse below OA 90 OB D

y X Graph the hyperbola 25 49 equations of the asymptotes for the figure The vertices are 0 5 0 5 Type ordered pairs Use a comma to separate answers as needed The foci are 0 74 0 74 Type ordered pairs Type an exact answer using radicals as needed Use a comma to separate answers as needed What are the equations of the asymptotes Choose the correct answer below 5 x 7y O A X 7 OB Y 5x 1 Give the domain range center vertices foci and 5 O c y 7x y x O D X 5Y 4

Use rational exponents to simplify the radical Assume the expression is defined 3 9 The expression is equal to

Express 3 1 4 1 3 9 Simplify your answer Use integers or fractions for any numbers in the expression Use p 3 3 9 as a power of 3