Complex numbers Questions and Answers

What is a reasonable approximation for angle B if the ratio of the adjacent leg by the hypotenuse is 0 45 27 degrees b 30 degrees a 60 degrees d 63 degrees C

Find all the roots of the function f x x3 5x 13x 21 O 3 11 16 2 3 7 O3 2 2 O 3 1 2

What are the factors of 3x4 6x38x 2x 3 O x 3 x 6 x 8 x 2 3x 1 3x 1 x 3 x 1 O 3x 1 x 3 x 1 3x 1 x 1 x 3

If f x 3x 19 then f 5 Enter DNE if the function is undefined or not a real number Leave your answer in exact form

Question 1 of 12 Step 1 of 1 R Divide using the division algorithm Write your answer in the form Q where the degree of R is less than the degree of D D ARGUSE a a 3 0 12 Correct 9

Let g x 2 3x 4 x 1 x 3 be a polynomial function 1 Name all horizontal and vertical intercepts of the graph 1 horizontal 2 vertical 2 State the end behavior of g

Graph the linear equations by writing the equations in slope intercept form y y Consistent Identify the appropriate number of solutions If there is a solution give the point Inconsistent x Dependent x 10 5 107 S Enable Zoom P 5 4 10 X

Press the hotspot for each picture that applies 4127 6 T 147 79 S 6 10 10 0131 4 111 V 133 105 115 Au AHI 14 6 14 127 78 55 R 55 15 S147 2 13 M K 133 147 55 3 79 3 127 9 133 H 5 9 127 M 79 9

Solve the system of equations X y Z 12 8y 2z 31 3x 2y z Z wwwww co com 86 16 22

Watch the video and then complete parts a and b below Click here to watch the video a Identify an equation that could be used to find the marked angles in each diagram L 3x 15 2x 5 3x 15 2x 5 2x 5 3x 150 M TIIM 3x 15 VS 2x 5 2x 5 3x 15 2x 5 3x 15 2x 5 3x 15 90 2x 5 3x 15 180 L 2x 5 3x 15 M L M

Write the system of equations as an augmented matrix 2m ga 3u 200 7a 2u 250 lla 3u 100 2m 3m 1 300

Write the system of equations as an augmented matrix 6n 2c 4m 46 7n 6m 135 4m 137 5c 5n c

the figure m is parallel to n and m 44 125 Find the measures of the other angles n 8 m The measure of 46 125 The measure of 42 125 The measure of 48 125 The measure of 45 180 The measure of 43 55 The measure of 47 55 The measure of 1 55

Purchase Pric Cash Invested 89 700 10 000 235 700 40 000 515 250 75 000 1 750 000 350 000 Monthly Rent 450 4 000 6 000 15 000 Annual Expenses 4 500 43 800 67 500 145 000 Annual Annual Rental Net Income Income 5 400 900 b b b a C C Annual Yield C

16 Across 5 solution to a subtraction problem 8 solution to a multiplication problem 9 Archuleta s favorite color Complete the crossword puzzle below 11 a point with a y value of zero 13 A number divided by another number 15 putting a quadratic in factored form and setting it equal to zero is called the method 17 solution to an addition problem 19 a quadratic in the form Ax 2 BX C 20 a shape with multiple sides 21 a line that runs through the center of a parabola 10 Created using the Crossword Maker on TheTeachers Corner net Down 1 The school with the highest ISAT scores in the state 2 using the coefficients of a qudratic to solve for the x intercepts 3 creating a perfect square area model to solve for the x intercepts of a quadratic 4 What archuleta loves most about his job 6 a physically small number used to represent repeated multiplication 7 a quadratic in the form y x a x b 10 a point with an x value of zero 12 a word for the steepness of a line 14 a quadratic in the form y a x h 2 k 16 solution to a division problem 18 The worst school ever built

Answer both questions in the box below Use the formula I PRT 1 Noah invested 3000 at an annual rate of 5 How long will it take until Noah earns 1125 in interest 2 Nathan paid 1020 in interest for a loan which was given to him at a rate of 5 for 3 years How much money did he borrow originally

ely by mathematicians sells perfectly circular pies The most popular ple is the Pumpkin Pi Pie It sells for 19 a pie 1 The number of pies made each day can vary a If they sell 15 pies in a day how much money revenue will they bring in b If they brought in 513 from pie sales in a day how many pies must they have sold c How much money will they bring in if they sell n pies in a day 2 The bakery has fixed expenses per day like rent equipment and utilities This costs the bakery 85 per day They also have a variable cost which is the price for ingredients which is 3 50 per pie a If the bakery makes 15 pies in a day what is the total cost of expenses b If the bakery spent 179 50 in the total cost of expenses in a day how many pies must they have made c How much are the total cost of expenses if they make n pies in a day 3 The bakery s profit each day can be found by taking their revenue and subtracting their expenses a If the bakery sells 15 pies in a day how much is their profit b What is the bakery s profit if they sell n pies in a day c What is the bakery s profit per pie if they sell 15 pies in a day d What is the bakery s profit per pie if they sell n pies in a day 4 The bakery is deciding how many pies they should make How will the profit per pie change based on the number of pies they make Explain

Find the variance of the data 97 122 143 155 138 x 131 Variance

Find the variance of the data 33 39 35 36 47 x 38 2 2

2 Find a basis for the solution space null space of the matrix A 123 2 2 2 2 3 41 1 2 46 2

x 1 x 2 over 0 1 Show that Q 2 is the root field of 2 Find the degree of a V over 0 3 List the elements of Gal Q 3 Q and exhibit its table

Let f x 3x 5x 7 and g x 2x 1 Find the following 6pt a b Iptx 2 c d 2pt x 2 a g 2 b g i 1 4 Refer to the following graph If it doesn t exist write undefined 4pt 1ptx4 a f g 3 c f 0 b g f 0 d g g 2 f g 6 f x w 0 2 4 6 y 6 F

Rewrite 4 sin z 2 cos z as Asin x o A Preview Preview Note should be in the interval T

A flour mill buys its wheat from two different farms then processes the wheat into flour Wheat from Farm X costs the mill 9 per bushel and wheat from Farm Y costs the mill 15 per bushel The selling price in dollars per bushel for the mill s wheat can be modeled by p x y 1500 x y where is the demand for the flour milled from Farm X s wheat and y is the demand for flour milled from Farm Y s wheat Assume that x and y may be zero so the mill only buys from one of the suppliers and that the mill can by 1 2 of a bushel Then the maximum profit is attained when x bushels bushels y The amount of the flour mill s maximum profit is

Consider the following functions Step 2 of 2 Find the domain for Answer 1 x f x x 5 and g x x 8 x Express your answer in interval notation Domain

x 4lyl 3 Step 1 of 2 Find four points contained in the inverse Express your values as an integer or simplified fraction Answer b d D C D C Keybo

Consider the following relation x 2lyl 5 Step 1 of 2 Find four points contained in the inverse Express your values as an integer or simplified fraction Answer 0 5 D C Keyboard S

Consider the following relation X 5lyl 3 Step 1 of 2 Find four points contained in the inverse Express your values as an integer or simplified fraction Answer D C

3 Solve the logarithmic equation Be sure to reject any value that is not in the domain of the original logarithmic expressions log x log x 1 log 72

Solve the equation over the interval 0 2x Write numbers using integers or simplified fractions a cot a 1 b cota 1 Part 1 of 2 a cot a 1 The solution set is Part 2 of 2 b cota 1 Separate your answers with a comma 8 JT D 0 0 S

Determine the surface area of the sides and roof in square feet and the volume in cubic feet of the house shaped figure below Round your answers to the nearest who number surface area volume 13 ft 1800 9 ft 20 ft 23400 x ft x ft 25 ft e

x 1 5 3 X y O y O 2 y 2x O 3y 5x 3y 5x 2 y 2x 2 y 2x 3y 5x x y x y 2 y 2x 3y 5x

Suppose that 2300 is initially invested in an account at a fixed interest rate compounded continuously Suppose also that after three years the amount of money in the account is 2444 Find the interest rate per year Write your answer as a percentage Do not round any intermediate computations and round your percentage to the nearest hundredth

F IF B 4 Graphing Quadratic Functions 2b 1 Which parabola has an axis of symmetry of x 1 y 1 2 3 4 y 2 Which is an equation of the line of symmetry for the parabola in the accompanying diagram 3 Which equation represents the axis of symmetr the graph of the parabola below

F IF B 4 Graphing Quadratic Functions Zb 1 Which parabola has an axis of symmetry of x 1 y 1 2 3 4 y y X X 2 Which is an equation of the line of symmetry for the parabola in the accompanying diagram 3 Which equation represents the axis of symmetry of the graph of the parabola below I

Graph the following function f x x 4 x 3 x 4 X 3

Let f x 7x 4 and g x 2x2 8 Find and simplify gof x O gof x 14x 24 O gof x 98x 112x 40 gof x 98x 24 gof x 98x 112x 24

Use logarithm properties to expand the expression In O3lnx 5lnz 7lny O3lnx 5lnz 7lny O In x 25 y7 Inx 25

Describe the sequence of transformations that are required to graph g x 3 x 0 15 based on f x 7 The graph of f x xis Shifted left 9 units Stretched vertically by a factor of 3 HE Shifted up 15 units E BE The graph of fix E EE HE E Shifted right 9 ur its The graph or fix 5 THE Stretches verica y by e festor of 3 Salped down 15 Cas Stretched vellez y by a factor of I

Given the graph of y f x as shown below sketch the graph of y f x

ences Oglethorpe Corporation reported a beginning balance of 12 400 In Its Prepaid Insurance account During the year Oglethorpe paid a total of 42 000 to purchase Insurance an the Prepaid Insurance account had an ending balance of 13 100 What was the amount of Insurance expense for the year Multiple Choice 41 300 42 000 42 700

The direct method of preparing the operating actiftes section of the statement of cash flows is preferred by the Financial Accounting Standards Board True or False True False

Mary has quarters and nickels in her purse She has six more quarters than nickels If she has 4 50 in her purse how many of each coin does she have

S Valdez Company sold land that had cost 48 000 for 60 000 cash Which of the following statements is true about this transaction Multiple Choice 60 000 would appear as a cash Inflow from Investing activities 48 000 would appear as a cash inflow from Investing activities and 12 000 would be added in the operating activities section using the Indirect method The 12 000 gain would be subtracted from net Income in the operating activities section using the direct method The 12 000 gain would be subtracted from net Income in the operating activities section prepared using the Indirect method and 60 000 would be reported as a cash Inflow from Investing activities

The diameter of a dime is 17 91 millimeters and the height is 1 35 millimeters What is the volume of a dime What is th volume of an oblique cylinder formed by stacking 50 dimes Round your answers to the nearest hundredth O The volume of one dime is 340 11 mm The volume of 50 dimes is 12 596 53 mm O The volume of one dime is 113 37 mm The volume of 50 dimes is 5 663 44 mm O The volume of one dime is 340 11 mm The volume of 50 dimes is 17 005 32 mm O The volume of one dime is 1 360 43 mm The volume of 50 dimes is 68 021 28 mm

3 rences TB MC Qu 12 50 Algo The financial statements of Gregg Company reported The financial statements of Gregg Company reported wages expense of 352 000 during Year 2 wages payable of 44 800 at the end of Year 1 and wages payable of 61 600 at the end of Year 2 What amount of cash was paid for wages during Year 2 Multiple Choice 335 200 352 000 396 800 307 200

Solve the equation algebraically Show each step Do not round until the final answer and then use a calculator and round to the nearest thousandth if necessary 84 3 9 521 Enter the correct values in the boxes Show Hints 84x 3 9 4x 3 84x 3 4x 3 8 521

11 Find the solution of the equation 2 3 tan r 2 cos z 5 0 in the interval 2x 01 Oll iii 11m ii 5m iii 7 iv 4x v not listed

TB MC Qu 12 78 Algo For the year ended December 31 Year 1 Fields For the year ended December 31 Year 1 Fields Company made cash payments of 55 600 for dividends paid interest of 24 400 paid 33 600 cash to suppliers and purchased equipment for 71 600 cash What is the net cash used by Investing activities for Year 1 Multiple Choice 71 600 151 600

Which ordered pair is a solution to the linear inequality below x 4y 4 A 3 5 B 0 4 C 2 3