Complex numbers Questions and Answers

In the lab Charlie has two solutions that contain alcohol and is mixing them with each other Solution A is 10 alcohol and Solution B is 60 alcohol He uses 600 milliliters of Solution A How many milliliters of Solution B does he use if the resulting mixture is a 40 alcohol solution Number of milliliters of Solution B 0

6 70 8 O Tek 4 0 S Find the y intercept of the line Write answer as an ordered pair X

7 ACT PREP MATH PART ACT Math Test 1 Edition 3 Question 7 of 60 What is the value of x in the linear equation below O O HA ZU H 2 1 0 6 2 3 4 5 2 37 8 6 Next Reset 7 az 5z 3 2z bz

Find the slope of the line x 11y 44 Enter your answer as a reduced fraction like 5 3 not 10 6 or as a whole number like 4 or 2 Type DNE necessary m Note the denominator should always be positive in your final answer

M and N are the midpoints of sides RS and RT of ARST respectively X RM ST R M Find N S Given RM RN 4x 1 ST 9x 2 m R 60 x RM and ST T

Determine if the ordered pair is a solution to the equation 0 4 x 4y 16 Enter y for yes n for no Do not capitalize your answer

3 Using the formula calculate the Number of Subsets and the Number of Proper Subsets or the given set A a b c d e f g

Question 5 of 60 The perimeter of a rectangle is given by the formula below P 2 1 w What is the solution for 0 1 w 01 P 0 1 w W O 1 P 2 Ol P w 2

Factor the polynomial completely 7x 28x 84x

ACT PREP MATH PART ACT Math Test 1 Edition 3 Question 2 of 60 Which of these equalities can be used to prove that the radical 23 can also be written using a fractional exponent as 2317 23 x 23 231 1 23 1 231 23 23 23 23 23 23 O O 231 23 1 23 B 231 Next 23 23 Reset 23 23 1

a20 7 d 3 The 19th term of the Simplify your answe

Given the Inequality x 4 x 1 x 5 0 a Using the steps shown in the canvas notes for Case 2 draw a suitable Sign Chart for this inequality Then identify and graph the solution set Hint Use the method shown for the solution of problem 56 8 points b Give the solution set in the interval notion

Factor the polynomial completely 64q 144gb 816

Find the circumference and the area of the circle using 3 14 Round your answers to two decimal places if necessary 10 cm Part 0 2 Part 1 of 2 The circumference of the circle is approximately cm cm

Factor the polynomial completely 25y 80y 64

Factor the polynomial completely 499 16q

Factor the polynomial completely 150 f 24

Factor the polynomial completely using the sum and difference of cubes pattern if possible f6 27

Factor the polynomial completely using the perfect square trinomials pattern if possible 4x 36x 81

A stained glass window in a museum is in the shape of a rectangle with a semicircle on top The height of the rectangular part of the window is twice the base If the base of the window measures 9 8 feet what is the area of the window Use 3 14 9 8 feet

raph of a function fis given a Find the local minimum value of f and the value of x at which it occurs x y x y X Find the local maximum values of f and the values of x at which they occur x y smaller x value X x 2 X X larger x value b Find the intervals on which fis increasing Enter your answer using interval notation Find the intervals on which fis decreasing Enter your answer using interval notation

Question 5 Write f x x 3x 25x 75 O x x 3 x 3 x 5

Find the perimeter of each figure 1 5x 7 99 1 2x 7x 2 4x 3 2x 2x y 4 5y 6 11x 8 2x 3x 5

Question 3 Find all zeros of the function f x Ox 1 2i Ox 1 21 21

Question 2 Use Descartes Rule of Signs to d negative zeros of f x 3x 6x

Question 8 of 10 Ste For the two numbers

Express the rational number as a decimal 7 100 8 7 8 11 Previous

Convert the fraction to a percent 95 9 5 11 Simplify your answer Type an integer or a decimal

Question 9 Points 1 Which of the following is associated with the normal ups and downs of the economy Structural unemployment O Seasonal unemployment Cyclical unemployment O Frictional unemployment

Sophie invested 93 000 in an account paying an interest rate of 5 6 compounded quarterly Assuming no deposits or withdrawals are made how long would it take to the nearest year for the value of the account to reach 170 500

The table below describes one linear function f a A second linear function is defined by g x Sa 1 Which function has the greater rate of change What is that rate of change 2 10 12 f x 6 4 202 1 point The linear function f a has a rate of change of 2 and g a has a rate of change of 3 so g x has the greater rate of change The linear function f x has a rate of change of 2 and g a has a rate of change of 1 so f a has the greater rate of change The linear function f a has a rate of change of 2 and g a has a rate of change of 1 so g a has the greater rate of change The linear function f a has a rate of change of 2 and g a has a rate of change of 3 so g x has the greater rate of change

What is the root of the polynomial equation x x 2 x 3 18

Identify any vertical asymptotes and points of Vertical Asymptote 1 Point Discontinuity x 4 Vertical Asymptote x 4 150 chi

quation 9x y 0 in slope int y the slope and y intercept

Sydney invested 440 in an account paying an interest rate of 5 6 compounded daily Assuming no deposits or withdrawals are made how long would it take to the nearest year for the value of the account to reach 640

Which of the following methods of applying the lower of Multiple Choice Average of cost of goods sold for the past three years The entire stock of Inventory In the aggregate Each Individual Inventory Item

A company uses a cost flow method such as LIFO or FIFO to allocate product costs between cost of goods sold and beginning Inventors True or False True False

TB MC Qu 05 68 Static Which of the following busi Which of the following businesses is most likely to use a specific Identification cost flow m Multiple Cholce O O Car dealership Grocery store Hardware store

Which of the following procedures are typically used when a petty cash fund is established Multiple Choice O All of these procedures are used when a petty cash fund is established Use of petty cash vouchers Assigning a petty cash custodian ENER INDEERE Predik A

3 What is the sum of the measures of the exterior angles of a dodecagon 4 What is the measure of each exterior angle of a regular 20 gon 5f the sum of the interior angles of a polygon is 1980 how many sides does it have 6 P an interior angle of a regular polygon measures H4 how many sides does it have 7 Pan exterior angle of a regular polygon measures 15 how many sides does it have 8 the measures of a heptagon are 127 152 12 123 135 L and 105 what is the measure of the remaining angle 9 Solve for x 10 Find mzC If the figure is a regular polygon Find the value of x 12 P the Pigure is a regular polygon Find the value of x 5r 17 7x 46 94 8x 3 B108 129 A 10x 5 14x 25 9x 11 7x 3 D 133 E 52 F 6x 21

Show that if a b and b c then a c For the toolbar press ALT F10 PC or ALT FN F10 Mac R T

Show that the square of a natural number will never have a remainder of 2 when divided by 3 For the toolbar press ALT F10 PC or ALT FN F10 Mac

2 Graph each of the following functions State the domain range intervals of intercepts and asymptote increase decrease a f x 3 1 b f x ex 1 5 c f x 2 e

olve the system of equations by substitution y x 4 x 5y 4z 24 6x 5y 2z 23

ne circulation or a 6 2 0 1 0 3t C Show Transcribed Text magazine as a function of time t is given by the following formula d At what time was the circulation increasing the fastest Round your answer to the nearest year 1 75 years

Let P x 2x 2ix 3 2i x1 i b Find all roots of P x

Add 12 60 15 40 17 49 j 76 17 49 j 76 17 49 j20 04 27 i20

In Exercises 19 22 find all the zeros of the function and write the polynomial as a product of linear factors 19 g x x 6x 13x 10 x3 20 h x x3 x 6

14 Solve by factoring x 16 0 A x 2 B x 4 C x 5 D x 8

Show Transcribed Text a 7 7 3i The polar form is Show Transcribed Text b 7 7 3i