Complex numbers Questions and Answers
![2 You paid 24 000 for 1 000 shares of EXO stock You sold the stock for 22 50 per share The commis paid was 49 95](https://media.kunduz.com/media/sug-question-candidate/20230425185651200061-4976046.jpg?w=256)
Algebra
Complex numbers2 You paid 24 000 for 1 000 shares of EXO stock You sold the stock for 22 50 per share The commis paid was 49 95
![point Let A 1 2 3 4 5 6 a How many subsets of A are there That is find P A b How many subsets of A contain exactly 5 elements c How many subsets of A contain only even numbers d How many subsets of A contain an even number of elements](https://media.kunduz.com/media/sug-question-candidate/20230425161000389336-4379267.jpg?w=256)
Algebra
Complex numberspoint Let A 1 2 3 4 5 6 a How many subsets of A are there That is find P A b How many subsets of A contain exactly 5 elements c How many subsets of A contain only even numbers d How many subsets of A contain an even number of elements
![1 point A school dance committee is to consist of 2 freshmen 3 sophomores 4 juniors and 5 seniors If 6 freshmen 7 sophomores 9 juniors and 8 seniors are eligible to be on the committee in how many ways can the committee be chosen Your answer is](https://media.kunduz.com/media/sug-question-candidate/20230425161241509737-4379267.jpg?w=256)
Algebra
Complex numbers1 point A school dance committee is to consist of 2 freshmen 3 sophomores 4 juniors and 5 seniors If 6 freshmen 7 sophomores 9 juniors and 8 seniors are eligible to be on the committee in how many ways can the committee be chosen Your answer is
![A pizza parlor offers 8 toppings a How many 4 topping pizzas could they put on their menu Assume double toppings are not allowed b How many total pizzas are possible with between zero and 8 toppings but not double toppings allowed c The pizza parlor will list the 8 toppings in two equal sized columns on their menu How many ways can they arrange the toppings in the left column](https://media.kunduz.com/media/sug-question-candidate/20230425161138526880-4379267.jpg?w=256)
Algebra
Complex numbersA pizza parlor offers 8 toppings a How many 4 topping pizzas could they put on their menu Assume double toppings are not allowed b How many total pizzas are possible with between zero and 8 toppings but not double toppings allowed c The pizza parlor will list the 8 toppings in two equal sized columns on their menu How many ways can they arrange the toppings in the left column
![Question 33 2 points Which equation shows 4 2 1 3 solved for t 1 4n 2 3 Or 42 2 3 t 2n 3 1 22 3 Question 34 2 points Given f x 2 1 and the domain is restricted to only the following values 1 2 3 is the RANGE of f x](https://media.kunduz.com/media/sug-question-candidate/20230425152442655080-4083857.jpg?w=256)
Algebra
Complex numbersQuestion 33 2 points Which equation shows 4 2 1 3 solved for t 1 4n 2 3 Or 42 2 3 t 2n 3 1 22 3 Question 34 2 points Given f x 2 1 and the domain is restricted to only the following values 1 2 3 is the RANGE of f x
![Question 36 2 points Identify whether the following data set is a population or a sample](https://media.kunduz.com/media/sug-question-candidate/20230425152519454789-4083857.jpg?w=256)
Algebra
Complex numbersQuestion 36 2 points Identify whether the following data set is a population or a sample
![Consider the explicit definition a 4 3 Which table of values could represent a partial sequence described by the relati DOO n an n an 1 1 4 1 2 5 NL 2 17 3 9 m 64 3 17 4 4 256 4 25](https://media.kunduz.com/media/sug-question-candidate/20230425151154587423-5354612.jpg?w=256)
Algebra
Complex numbersConsider the explicit definition a 4 3 Which table of values could represent a partial sequence described by the relati DOO n an n an 1 1 4 1 2 5 NL 2 17 3 9 m 64 3 17 4 4 256 4 25
![he results of a study conducted with 200 children are organized below Determine the relative frequency of children who were girls and preferred the playground Playground Swimming Pool Total Girls 54 46 100 Boys 21 79 100 Total 75 125 200 Free to Discover Amanda Nix 2017](https://media.kunduz.com/media/sug-question-candidate/20230425143901959141-4453139.jpg?w=256)
Algebra
Complex numbershe results of a study conducted with 200 children are organized below Determine the relative frequency of children who were girls and preferred the playground Playground Swimming Pool Total Girls 54 46 100 Boys 21 79 100 Total 75 125 200 Free to Discover Amanda Nix 2017
![Find the value of x that makes the following statement true 2 128 O x log 128 O X 7 X 3](https://media.kunduz.com/media/sug-question-candidate/20230425142506424733-4083857.jpg?w=256)
Algebra
Complex numbersFind the value of x that makes the following statement true 2 128 O x log 128 O X 7 X 3
![tes of a point in the solution set y 2x 2 y x 8](https://media.kunduz.com/media/sug-question-candidate/20230425053645735452-5560463.jpg?w=256)
![Determine the measure of ZNPQ accurate to one decimal place N 28 7m 4 m P](https://media.kunduz.com/media/sug-question-candidate/20230425045714246223-4902802.jpg?w=256)
![nt P 1 1 17 m Suppose that you have 12 000 to invest Which investment yields the greater return over 5 years 8 75 compounded continuously or 8 9 compounded semiannually Use the compound interest formulas A P and A Pet to solve Round to two decimal places A 12 000 invested at 8 9 compounded semiannually over 5 years yields the greater return B Both investment plans yield the same return OC 12 000 invested at 8 75 compounded continuously over 5 years yields the greater return](https://media.kunduz.com/media/sug-question-candidate/20230425041309391377-5560534.jpg?w=256)
Algebra
Complex numbersnt P 1 1 17 m Suppose that you have 12 000 to invest Which investment yields the greater return over 5 years 8 75 compounded continuously or 8 9 compounded semiannually Use the compound interest formulas A P and A Pet to solve Round to two decimal places A 12 000 invested at 8 9 compounded semiannually over 5 years yields the greater return B Both investment plans yield the same return OC 12 000 invested at 8 75 compounded continuously over 5 years yields the greater return
![Divide using long division 25x 35x 30x 8 5x 2 OA x 5x 4 OB x 5x 4 OC 5x 5x 4 OD 5x 4](https://media.kunduz.com/media/sug-question-candidate/20230425041413573032-5560534.jpg?w=256)
Algebra
Complex numbersDivide using long division 25x 35x 30x 8 5x 2 OA x 5x 4 OB x 5x 4 OC 5x 5x 4 OD 5x 4
![Write the equation in its equivalent exponential forr log 256 4 OA 4 256 OB 2564 b OC b4 256 O D 256 4](https://media.kunduz.com/media/sug-question-candidate/20230425041256230379-5560534.jpg?w=256)
Algebra
Complex numbersWrite the equation in its equivalent exponential forr log 256 4 OA 4 256 OB 2564 b OC b4 256 O D 256 4
![The population of a particular country was 23 million in 1981 In 1992 it was 35 million The exponential growth function A 23ekt describes the population of this country t years after 1981 Use the fact that 11 years after 1981 the population increased by 12 million to find k to three decimal places OA 0 608 OB 0 038 OC 0 226 OD 0 048 COUP](https://media.kunduz.com/media/sug-question-candidate/20230425041022607945-5560534.jpg?w=256)
Algebra
Complex numbersThe population of a particular country was 23 million in 1981 In 1992 it was 35 million The exponential growth function A 23ekt describes the population of this country t years after 1981 Use the fact that 11 years after 1981 the population increased by 12 million to find k to three decimal places OA 0 608 OB 0 038 OC 0 226 OD 0 048 COUP
![K Solve the equation by expressing each side as a power of the same base and then equating exponents 2 3x 7 1 4 O A 3 OB 3 OC 1 12 O D 1](https://media.kunduz.com/media/sug-question-candidate/20230425041048310063-5560534.jpg?w=256)
Algebra
Complex numbersK Solve the equation by expressing each side as a power of the same base and then equating exponents 2 3x 7 1 4 O A 3 OB 3 OC 1 12 O D 1
![Solve the equation Give the exact value and approximate the solution to the nearest thousandth Use to enter exponents as in 2 5 1 means 25 1 log m 8 1 9 The exact value 87 43 The approximation N N](https://media.kunduz.com/media/sug-question-candidate/20230425031830941187-5350579.jpg?w=256)
Algebra
Complex numbersSolve the equation Give the exact value and approximate the solution to the nearest thousandth Use to enter exponents as in 2 5 1 means 25 1 log m 8 1 9 The exact value 87 43 The approximation N N
![5 4 Explain what happens if we try to rationalize the denominator of 6 3 using 6](https://media.kunduz.com/media/sug-question-candidate/20230425024711601489-5560496.jpg?w=256)
Algebra
Complex numbers5 4 Explain what happens if we try to rationalize the denominator of 6 3 using 6
![Meng owes 474 96 on his credit card He returns two items one for 49 68 and the other for 48 51 Then he makes purchases of 30 83 and 39 77 What is the new balance on the card](https://media.kunduz.com/media/sug-question-candidate/20230425023406861596-5560476.jpg?w=256)
Algebra
Complex numbersMeng owes 474 96 on his credit card He returns two items one for 49 68 and the other for 48 51 Then he makes purchases of 30 83 and 39 77 What is the new balance on the card
![For how many months do you need to invest your money into a bank account earning an annual interest rate of 8 73 compunded monthly if you want to triple your investment](https://media.kunduz.com/media/sug-question-candidate/20230425011622227506-5560373.jpg?w=256)
Algebra
Complex numbersFor how many months do you need to invest your money into a bank account earning an annual interest rate of 8 73 compunded monthly if you want to triple your investment
![In Exercises 45 52 find the quotient of the complex number Z2 Leave answers in polar form In Exercises 49 50 express the argument as an angle betwee 0 and 360](https://media.kunduz.com/media/sug-question-candidate/20230425000345898441-5559156.jpg?w=256)
Algebra
Complex numbersIn Exercises 45 52 find the quotient of the complex number Z2 Leave answers in polar form In Exercises 49 50 express the argument as an angle betwee 0 and 360
![Divide using the division algorithm Write your answer in the form Q RD where the degree of R is less than the degree of D x2 8x 12 x 2](https://media.kunduz.com/media/sug-question-candidate/20230424232827306432-5560285.jpg?w=256)
Algebra
Complex numbersDivide using the division algorithm Write your answer in the form Q RD where the degree of R is less than the degree of D x2 8x 12 x 2
![03 11 Currie Company borrowed 14 000 from Sierra Bank by Issuing a n 11 three year note Currie agreed to repay the principal and Interest by making annual payments in the amount of 4 421 Based on this Information wh the amount of the Interest expense associated with the second payment Round your answer to the nearest dollar Multiple Cholce 772 1 223 1 540](https://media.kunduz.com/media/sug-question-candidate/20230424223435998278-4356528.jpg?w=256)
Algebra
Complex numbers03 11 Currie Company borrowed 14 000 from Sierra Bank by Issuing a n 11 three year note Currie agreed to repay the principal and Interest by making annual payments in the amount of 4 421 Based on this Information wh the amount of the Interest expense associated with the second payment Round your answer to the nearest dollar Multiple Cholce 772 1 223 1 540
![Solve the right triangle ABC where C 90 Give angles in degrees and minutes a 13 00 m c 22 00 m b A B m Round to the nearest hundredth as needed Round to the nearest minute as needed Round to the nearest minute as needed O](https://media.kunduz.com/media/sug-question-candidate/20230424202534966545-5559824.jpg?w=256)
Algebra
Complex numbersSolve the right triangle ABC where C 90 Give angles in degrees and minutes a 13 00 m c 22 00 m b A B m Round to the nearest hundredth as needed Round to the nearest minute as needed Round to the nearest minute as needed O
![Find fog Write as a single simplified expression f x x 3 1 9 2 2 2 x 9 g x](https://media.kunduz.com/media/sug-question-candidate/20230204020053759727-3423033_h0R1Nb0.jpg?w=256)
![Which expression is equivalent to 6 2i 4 3i OA 18 10i OB 24 6i OC 24 16i OD 30 10i](https://media.kunduz.com/media/sug-question-candidate/20230203233204301745-3739212_WUe0o4N.jpg?w=256)
Algebra
Complex numbersWhich expression is equivalent to 6 2i 4 3i OA 18 10i OB 24 6i OC 24 16i OD 30 10i
![0 25 16 A 30 Which is the best estimate for the measure of angle B 40 OC C 50 Degrees sin x 30 40 50 60 D 60 cos x tan x 0 5000 0 8660 0 5774 0 6428 0 7660 0 8391 0 7660 0 6428 1 1918 0 8660 0 5000 1 7321](https://media.kunduz.com/media/sug-question-candidate/20230203212241128160-3739212_RIDYZun.jpg?w=256)
Algebra
Complex numbers0 25 16 A 30 Which is the best estimate for the measure of angle B 40 OC C 50 Degrees sin x 30 40 50 60 D 60 cos x tan x 0 5000 0 8660 0 5774 0 6428 0 7660 0 8391 0 7660 0 6428 1 1918 0 8660 0 5000 1 7321
![Find the coordinates of the other endpoint of the segment given its midpoint and one endpoint Hint Let x y be the unknown endpoint Apply the midpoint formula and solve the two equations for x and y midpoint 1 24 endpoint 1 19 The other endpoint is rdered pair](https://media.kunduz.com/media/sug-question-candidate/20230203141748571950-3653173_bdBggom.jpg?w=256)
Algebra
Complex numbersFind the coordinates of the other endpoint of the segment given its midpoint and one endpoint Hint Let x y be the unknown endpoint Apply the midpoint formula and solve the two equations for x and y midpoint 1 24 endpoint 1 19 The other endpoint is rdered pair
![For the function f x 5x 3x evaluate and simplify f x h f x h Ou Video F Writton Example M Massage instructo](https://media.kunduz.com/media/sug-question-candidate/20230202175350123838-3712867_T8pnOZM.jpg?w=256)
Algebra
Complex numbersFor the function f x 5x 3x evaluate and simplify f x h f x h Ou Video F Writton Example M Massage instructo
![This table shows a relation that is a function X f x 7 3 2 4 8 CO LO 5 6 1 Which of the following ordered pairs could be included in the table and have the relati remain a function Select all that apply 5 5 4 2 3 3 8 6](https://media.kunduz.com/media/sug-question-candidate/20230202163022823674-4739910_8GfOh6W.jpg?w=256)
Algebra
Complex numbersThis table shows a relation that is a function X f x 7 3 2 4 8 CO LO 5 6 1 Which of the following ordered pairs could be included in the table and have the relati remain a function Select all that apply 5 5 4 2 3 3 8 6
![Find the midpoint of th The midpoint is Type an ordered pair Use integers or simplified fractions for any numbers in the expression](https://media.kunduz.com/media/sug-question-candidate/20230202162549809986-3653173_IHmSErR.jpg?w=256)
Algebra
Complex numbersFind the midpoint of th The midpoint is Type an ordered pair Use integers or simplified fractions for any numbers in the expression
![Perform the indicated operations and write the result in standard form 20 50 60 20 50 60 Type an exact answer using radicals as needed Type your answer in the form a bi](https://media.kunduz.com/media/sug-question-candidate/20230202023312304262-3500550_zqcJlvX.jpg?w=256)
Algebra
Complex numbersPerform the indicated operations and write the result in standard form 20 50 60 20 50 60 Type an exact answer using radicals as needed Type your answer in the form a bi
![Multiply in the indicated base 47x57 7 x 57](https://media.kunduz.com/media/sug-question-candidate/20230201201228356013-3653173_pF5lrMJ.jpg?w=256)
![Multiply in the indicated base 358 x218 358](https://media.kunduz.com/media/sug-question-candidate/20230201184348241613-3653173_YqCdAch.jpg?w=256)
![899111 1203 Type an integer What is the equivalent Roman numeral MCCIII Choose the correct equivalent Chinese numeral below A 11 OB 111 O C 1 O D](https://media.kunduz.com/media/sug-question-candidate/20230201162607372563-3653173_iC2a7E5.jpg?w=256)
Algebra
Complex numbers899111 1203 Type an integer What is the equivalent Roman numeral MCCIII Choose the correct equivalent Chinese numeral below A 11 OB 111 O C 1 O D
![8 cups fluid ounces 8 cups fluid ounces Simplify your answer Type a whole number or decimal rounded to the nearest hundredth as needed](https://media.kunduz.com/media/sug-question-candidate/20230201153350545634-3653173_1FTDmU7.jpg?w=256)
Algebra
Complex numbers8 cups fluid ounces 8 cups fluid ounces Simplify your answer Type a whole number or decimal rounded to the nearest hundredth as needed
![Convert the numeral to a numeral in base 10 86416 86416 19](https://media.kunduz.com/media/sug-question-candidate/20230201055419762008-3653173_hcz2z6I.jpg?w=256)
![Find the greatest common factor of these three expressions 12u 30u and 18u](https://media.kunduz.com/media/sug-question-candidate/20230201044453460251-5347598_RzU8X8W.jpg?w=256)
![For the following equation a Write the value or values of the variable that make a denominator zero These are the restrictions on the variable b Keeping the restrictions in mind solve the equation 2 3 x 12 x 12 5x 2 X 144 a Write the value or values of the variable that make a denominator zero X Use a comma to separate answers as needed b What is the solution of the equation Select the correct choice below and if necessary fill in the answer box to complete your choice OA The solution set is Use a comma to separate answers as needed B The solution set is x x is a real number OC The solution set is](https://media.kunduz.com/media/sug-question-candidate/20230201042056181369-3500550_Mwoyzjf.jpg?w=256)
Algebra
Complex numbersFor the following equation a Write the value or values of the variable that make a denominator zero These are the restrictions on the variable b Keeping the restrictions in mind solve the equation 2 3 x 12 x 12 5x 2 X 144 a Write the value or values of the variable that make a denominator zero X Use a comma to separate answers as needed b What is the solution of the equation Select the correct choice below and if necessary fill in the answer box to complete your choice OA The solution set is Use a comma to separate answers as needed B The solution set is x x is a real number OC The solution set is
![Convert the numeral to a numeral in base ten 51 1218](https://media.kunduz.com/media/sug-question-candidate/20230201035450811241-3653173_rfIJdjQ.jpg?w=256)
![Write the Hindu Arabic numeral as a Mayan numeral 33 Which of the following is the equivalent Mayan numeral A OB C 0 1 N 10 11 12 3 4 13 14 O D 5 15](https://media.kunduz.com/media/sug-question-candidate/20230131190521951648-3653173_aHWrWck.jpg?w=256)
Algebra
Complex numbersWrite the Hindu Arabic numeral as a Mayan numeral 33 Which of the following is the equivalent Mayan numeral A OB C 0 1 N 10 11 12 3 4 13 14 O D 5 15
![aluate each of the following problems Show proper work for full credit 13 72m n8 Evaluate the expression 1 16 16 4 14 10 80x y 2 729 121 5 15 3 60y6 3 32 7 5](https://media.kunduz.com/media/sug-question-candidate/20230131164007121996-4709416_zYsJTrL.jpg?w=256)
Algebra
Complex numbersaluate each of the following problems Show proper work for full credit 13 72m n8 Evaluate the expression 1 16 16 4 14 10 80x y 2 729 121 5 15 3 60y6 3 32 7 5
![Winte numeral as a Mayan numeral 2938 Choose the correct answer below A B 8 10 2 1112 3 13 B 4 5 O C 6 L 14 15 16 17 7 8 18 9 19 D](https://media.kunduz.com/media/sug-question-candidate/20230131161019938429-3653173_1xaG6hd.jpg?w=256)
Algebra
Complex numbersWinte numeral as a Mayan numeral 2938 Choose the correct answer below A B 8 10 2 1112 3 13 B 4 5 O C 6 L 14 15 16 17 7 8 18 9 19 D
![Question 5 of 10 Step 1 of 1 01 27 50 S Simplify the expression using the properties of exponents Expand any numerical portion of your answer and only include positive exponents 1 Keypad Keyboard Shortcuts](https://media.kunduz.com/media/sug-question-candidate/20230130181128047477-5330381_cOh7Iyx.jpg?w=256)
Algebra
Complex numbersQuestion 5 of 10 Step 1 of 1 01 27 50 S Simplify the expression using the properties of exponents Expand any numerical portion of your answer and only include positive exponents 1 Keypad Keyboard Shortcuts
![Write 7 071 x 10 in decimal form](https://media.kunduz.com/media/sug-question-candidate/20230130171258309730-5330381_9BFEYfE.jpg?w=256)
![It is believed that the Mayans used 18 x 20 instead of 202 so that their numeration system would conform to which had 360 days their It is believed that the Mayans used 18 20 instead of 202 so that their numeration system would conform to their which had 360 days harvest season calendar TEE winter season](https://media.kunduz.com/media/sug-question-candidate/20230130151458377951-3653173_fC7ZVkK.jpg?w=256)
Algebra
Complex numbersIt is believed that the Mayans used 18 x 20 instead of 202 so that their numeration system would conform to which had 360 days their It is believed that the Mayans used 18 20 instead of 202 so that their numeration system would conform to their which had 360 days harvest season calendar TEE winter season
![Subtract 1001 four 211 four The difference is 890 four Simplify your answer](https://media.kunduz.com/media/sug-question-candidate/20230130012755115031-3653173_hN7IPg9.jpg?w=256)
![Sum f g x Difference f g x Product fg x Quotient x](https://media.kunduz.com/media/sug-question-candidate/20230129050037330342-4341414_5LF1ydv.jpg?w=256)
![The area of an 13 cm wide rectangle is 234 cm What is its length The length is cm](https://media.kunduz.com/media/sug-question-candidate/20230128181226549047-3653173_8BB1Ejy.jpg?w=256)
Algebra
Complex numbersThe area of an 13 cm wide rectangle is 234 cm What is its length The length is cm
![Graph the following figure in the coordinate plane Find the perimeter X 0 3 Y 3 1 Z 7 1 Choose the correct graph below OA x OB 1 A My K Q OC SES 154](https://media.kunduz.com/media/sug-question-candidate/20230127211057866242-3653173_eIREhjX.jpg?w=256)
Algebra
Complex numbersGraph the following figure in the coordinate plane Find the perimeter X 0 3 Y 3 1 Z 7 1 Choose the correct graph below OA x OB 1 A My K Q OC SES 154