Complex numbers Questions and Answers

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

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

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

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

Question 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

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

Find 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

Determine the measure of ZNPQ accurate to one decimal place N 28 7m 4 m P

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

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

Write 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

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

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

5 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

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

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

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

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

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

Find fog Write as a single simplified expression f x x 3 1 9 2 2 2 x 9 g x

Which 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

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

For 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

Find 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

Multiply in the indicated base 47x57 7 x 57

Multiply in the indicated base 358 x218 358

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

8 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

Find the greatest common factor of these three expressions 12u 30u and 18u

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

Convert the numeral to a numeral in base ten 51 1218

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

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

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

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

Write 7 071 x 10 in decimal form

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

Subtract 1001 four 211 four The difference is 890 four Simplify your answer

Sum f g x Difference f g x Product fg x Quotient x

The 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

4 Identify and select the transformations that have occurred from the parent function f x x to the given function 2f x 15 Steeper by 2 Vertical shift up 15 Less steep by 15 Less steep by 2 Steeper by 15 Vertical shift down 15 Vertical shift down 2 Vertical shift up 2