Complex numbers Questions and Answers

O Use the polygon to the right to complete parts a and b a Name the polygon If the polygon is a quadrilateral give its specific name b State whether or not the polygon is a regular polygon a What is the name of the polygon Hexagon Dodecagon Pentagon

A client asked Amahle to design a rectangular garden with a length that is seventeen feet less than three times the width The client also asked that the garden have an area of 46 square feet The length of the garden should be feet and the width should be feet If necessary round your answers to 3 decimal places

This question has two parts First answer Part A Then answer Part B Part A Manny has a bag containing 15 nickels and quarters He has a total of 2 55 Which equations can be used to write a system to find the number of nickels x and number of quarters y Manny has A 5x 25y 2 55y B x y 15 9x y 2 55 D 0 05x 0 25y 15 E 0 05x 0 25y 2 55 Part B How many nickels and quarters does Manny have nickells quarters

The length of a rectangle is equal to four times the width Which equations can be used to find the length L and width W of the rectangle if the perimeter is 86 centimeters Select all that apply OA L 4W B L 2W 86 G 2L W 86 D 2 L W 86 E 4L W

Choose the correct response below OA A combination is a group of items taken with regard to their order OB A combination is a group of items sometimes taken with regard to their order and other times taken without regard to their order OC A combination is a group of items taken without regard to their order

3 A group of 4 students is selected from a group of 13 students to take part in a class in cell biology Complete paris a and b below a In how many ways can this be done There are possible ways

In how many ways can a hand of 10 spades be chosen from an ordinary deck A hand of 10 spades can be chosen in ways

K Evaluate the combination C 10 5 C 10 5 Type an integer or a fraction

Consider the following system of equations 2x 3y 4 2x 3y 1 The slopes Select Choice the same The y intercepts Select Choice the same Therefore the system of equations has Select Choice

The We re Just Boss food company started out as a joke but it quickly grew to be quite popular among the local college kids The company started out with a value of 45 000 which grew by 75 each year

An airplane is flying over a mcdonalds and a football field the distance between end zones is 120 yards one end zone has an angle of elevation of 70 degrees to the airplane while he other has an angle of elevation of 62 degrees how high is the airplane from the ground

K Evaluate the factorial 231 231 Use scientific notation Use the multiplication symbol in the math palette as needed Round to three decimal places as needed

5 Kristen s financial advisor has given her a list of 11 potential investments and has asked her to select and rank her favorite five In how many different ways can she do this There are different ways Kristen can rank the five investments Type a whole number

Consider the following Step 1 of 2 Plot the given points on the graph Answer 2 Points A 5 4 B 1 0 Keyboar To plot a point on the graph click on the appropriate position on the graph To move a point drag the point from its original position to its position Points can be moved by dragging or using the arrow keys A Enable Zoom Pan

Consider the following equation 4x 3y 20 Step 1 of 2 Determine the missing coordinate in the ordered pair 4 so that it will satisfy the given equation AnswerHow to enter your answer opens in new window 2 Points A 4

Question 8 of 10 Step 2 of 2 Consider the following Step 2 of 2 Identify the coordinates of the points A and B on the graph 10 5 Enable Zoom Pan 10

Find the equation for the line that passes through the point 3 4 and that is parallel to the line with the equation y 10 101 Correct Y 10 Enable Zoom Pan X 1 7 X 3 3

3 The table below represents the growth of an investment account over 3 decades What is the growth factor of this function of decade O 1 2 N y balance 95 190 380 760

7 Let X be a random variable The table below shows the probability distribution for X What is the expected value of X Express your answer as a decimal X 0 S 10 5 15 P X x 0 20 0 05 0 30 0 10 0 35

2 Given f x 32x4 64x 86x 29x 3 a Begins b Ends c Maximum S d Minimum s e Intervals of increase decrease Constant f Graph

Evaluate without a calculator Write as an integer or reduced fraction 25 3 2

Rewrite the following radical term into rational exponent form 5

Consider the following functions a f x 5x and g x x 1 Step 1 of 2 Find the formula for f g x and simplify your answer Then find the domain for f g x Round your answer to two decimal place B 0 0 x 14 VUNEI 2 e 11 02 NZQRC x T b e X dA v log In sin sec tan 1 esc cos cot 0 sin cos tan ese 1 sec cot 2023 Hawkes Learning f g x Domain MacBook Pro

Step 2 of 2 Find the domain for Answer x f x x and g x x 4 x Express your answer in interval notation Domain

Consider the graph and the given points A 4 0 B 4 6 Step 2 of 3 Find the y intercept if there is one Enter your answer as an ordered pair 10 10 B Enable Zoom Pan 5 10

Using Gauss Jordan elimination to solve the system The system s solution set is x y z 2 3x y 5z 22 the matrix obtained is 4x 6y 7z 19 The system s solution set is Type an ordered triple 100 2 010 1 Complete the following sentence 001 3

Write the augmented matrix for the system of equations to the right Enter each element 7 7x8y 3z 8 5x 4y 9 4x 3z 3

Consider the following linear equation Step 1 of 2 Identify if the given line is horizontal or vertical and give its slope Answer How to enter your answer opens in new window y 5 Selecting the alternative option for a text box will replace the entered value If the option is not selected the entered answer is used Type of line Horizontal Slope Vertical

of 12 Step 2 of 2 Question 11 Consider the following graph Step 2 of 2 Determine the domain and range of the graph Answer 2 Points 10 15 10 Enable Zoom Pan 5 10 x Ke

A grocer wants to mix two kinds of nuts One kind sells for 1 00 per pound and the other sells for 1 80 per pound He wants to mix a total of 21 pounds and sell it for 1 25 per pound How many pounds of each kind should he use in the new mix Round off the answers to the nearest hundredth AnswerHow to enter your answer opens in new window 2 Points number of pounds of nuts that sells for 1 00 Keypad Keyboard Shortcut

State the domain of the following function Answer 2 Points g x 38 x 9

16 of 25 Give the logarithmic equation in exponential form Then give the exponential equation in logarithmic form In 7 d 10

Graph the line by plotting any two ordered pairs with integer value coordinates that satisfy the equation Answer Keypac Keyboard Shortcu Points can be moved by dragging or using the arrow keys Any lines or curves will be drawn once all required points are plotted and will update whenever a point is move Enable Zoom Pan 10 y x 5 107 X

K When a crew rows with the current it travels 36 miles in 4 hours Against the current the crew rows 20 miles in 4 hours Let x the crew s rowing rate in still water and let y the rate of the current Find the rate of rowing in still water and the rate of the current The table below summarizes the given information Rowing with current Rate x y Rowing against current The rate of rowing in still water is x y X Time 4 4 miles per hour Distance 36 20

Save Exit Certify Lesson 2 2 Graphing Linear Equations in S Question 6 of 12 Step 1 of 3 Consider the graph and the given points Step 1 of 3 Find the slope A 10 20 fast A 6 7 B 6 4 HO 9 26 Correct S Enable Zoom Pan 5 10 X

9x 7y 5z 65 3x 5y 6z 35 2x 8y 5z 48 Write the solution as an ordered triple in the form x y z Do not enter any spaces in the answer The solution is

2 Find the equation for the line that passes through the point 1 3 and that is parallel to the line with the equation x 2y 2 10 10T 5 y Enable Zoom Pan 10 X

Plot the point given by the following polar coordinates on the graph below Each circular grid line is 0 5 units apar 2

Question 5 of 12 Step 1 of 2 Consider the following y intercept and slope Step 1 of 2 Find the equation of the line for the y intercept and slope given above Answer 8 26 Correct 0 2 m 2

Question 7 of 16 Step 1 of 1 Find the equation for the line that passes through the point 2 5 and that is perpendicular to the line with the equation x 3 10 5 HOT 7 18 Correct 5 A Enable Zoom Pan 10

Let f be a function and let g x graph of g using the graph of f f x 2 3 Describe how to draw the O Shift the graph of f left 2 units and up 3 units Shift the graph of fright 2 units and up 3 units O Shift the graph of f left 2 units and down 3 units Shift the graph of f right 2 units and down 3 units

Let 2 x 4 and g x 3 Find fog x and write its domain in interval notation fog x x 12 Domain 12 00 fog x x 4 3 Domain 4 00 O fog x x 1 Domain 1 00 fog x x 3 x 4 Domain 4 00

he morning Justin drove 4 hours before stopping to eat lunch After lunch he increased his speed by 10 mph If he completed a 410 ille trip in 9 hours of driving time how fast in miles per hour did he drive in the morning

Question 11 of 13 Step 2 of 2 Consider the following relation Step 2 of 2 Does the relation represent a function 8 2 9 4 4 8 4 3 6 3 7 0 10 5 Correct 10 Enable Zoom Pan 5 10 X

Question 5 of 14 Step 1 of 1 Use your knowledge of x and y intercepts to choose the correct graph of the equation 5x 2y 10 25 Enable Zoom Pan y Enable Zoom Pan Answer How to enter your answer opens in new window the appropriate letter for the graph 2 14 Correct y ZANN Enable Zoom Pan Enable Zoom Pan 3 d Keypad Keyboard Shortcuts

Question 1 of 16 Step 1 of 1 Correct 3 Write an equation for the line parallel to the line x 1 0 through the point 6 1 4 Answer

Choose the inverse of the function shown 0 5 4 3 2 1 545 D M 3 2 10 4 2 e 5 44 C 18 11 2 th 3 2 4 2 AY 13 2 324 11 th 2 16 2 3

Which of the following is the inverse of f x 4x x 0 O j x x 2 0 x 2x O Of x 2x O x 1 20

When x3 3x 2 is divided by x 3 what is the remainder 02 0 3 0 2 No Remainder

Divide x 8 x 2 Fdr the toolbar press ALT F10 PC