Complex numbers Questions and Answers

Simplify 16y8 O 4y O 4y O 4iy O 8 Check Simplify mn2 O 4m 2n m Om n m

0 00252d227 The optimal height h of the letters of a message printed on pavement is given by the formula h Here d is the distance of the drive from the etters and e is the height of the driver s eye above the pavement All of the distances are in meters Find h if d 50 m and e 1 2 m Round to the nearest mete The optimal height for the given values is meters

An expression with rational exponents is in simplest form when all of the following conditions are met It has negative exponents It has not exponents that are not positive It is not a The index of any remaining radical is the Check fraction Simplify 36 2 in the denominator number possible

7 5 D 4 6 5 2 2 2 2 A 2 2 C 8 2 B 4 2 D 6 2 7 3 2 3 2 2 3 A 6 2 2 3 B 9 2 2 3 C 9 2 2 3 D 9 2

Write and use a piecewise function for this bread sales position pay schedule CARS R US Where you rake in the dough Monthly base salary 3000 Expected sales 10 cars per month Bonus Sales above 10 cars per month 500 bonus per car Show the calculations you would do NOT just the answers Math for 5 cars sold 3000 2 Math for 10 sold ath for 12 cars sold

11 A certain virus triples every 15 hours If the virus amounts to 5750 bacteria in 4 days how many bacteria was in the colony initially Give your answer to nearest whole number i A T r

3 Addition and multiplication properties of equality Homework Unanswered Due Today 11 59 PM Fill in the Blanks Type your answers in all of the blanks and submit X X To solve the equation 2x 5 9 first of the equation to get the equivalent equation 2x Type your answer here each side of the equation by Write your response here Write your response here Type your answer here to get x Type your answer here from each side Then Write your response here Type your answer here The solution set is

Match each equation type with the correct equation Drag and drop options on the right hand side and submit For keyboard navigation SHOW MORE 2 b 6 6b 4 2b 3 2 b 6 6b 4 2b 3 2 b 6 6b 4 2b 3 III Equivalent Identity Contradiction

Simplify the following expression 27x 2y6 ar y a b 32x y 0 ax y a b C C

X X Fill in the blank with the appropriate word An equation of the form Ax B C for A B and Creal numbers with AO is called write your response here equation

7 In the figure shown lines ga 7 5 8 6 and g are parallel Select all angles that are congruent to angle 1 3 1 2 4

2019 Kuta Software LLC All rig Label the slope and y intercept in each Sketch the graph of each line 2 1 y x 2 5 432 23 5 6 x

The rectangular area of the new school courtyard is represented by the expression 4c 36 Which expression could represent the length times the width of the courtyard O 2c 6 O 2c 6 2c 6 04 2 32 o 4c 6 c 6

Vertical asymptote Horiz Asympt 10

NAME Christian Loueto W 39 23 3 4 Factoring when a 1 and GCF then a 1 Homework SSE Factor each completely 1 x 3x 2 3 n 8n 12 5 m 3m 10 7 m 15m 56 9 b 6b 40 11 m 4m 12 13 x 4x 45 DATE 2 m 13m 36 4 p 2p 24 6 x x 20 8 x 3x 40 10 v 2v 3 12 x x 72 14 p 14p 40 PERIO

Factor each completely 13 2k 12k 16 15 2r r 6r 3 71 16r 40Pf 2r 5 8r 20 5 20 5 9x 6x 15x 10 14 6n 108n 486 16 15x 3x 40x 8 18 28x 35x 12x 15 20 7n 28n 8n 32

Review Factoring 2 Notes Homework SSE Factor the common factor out of each expression 1 7 28b 3 70m 7m 28m 63m 7m 10m 4 1m 4M 9 5 7x 70x 63x 35 Factor each completely 7 b 56 24 add 6 3 6 8 mult 9 a 14a 48 Cat8 Xato add multiply 11 6k 54k 120 2 6CK 4k 20 ks k 2 4a 4 4 30x 5x 15x 20 6 965 27b 3b 3 8 x 6x 27 10 n 2n 48 12 2a 18a 28

What are the Maximum Minimum Equation of the midline mplitude A 5a 2 2 3 2 T 1 2 eriod Use the graph to answer this question 7 2 Amplitude Midline y A maximum minimum 2 maximum minimum 2 3 2 2 ST

99 as long as James to 5 In a cross country race Duante took 7 finish Kofi took as long as James to finish Who took the 8 longest to finish the race dumes as tall as Harriet Jenny is 13 as tall as Harriet Who is harriet 6 Jamie is the tallest How do you know

Add or subtract 5 75 3 50 27 5 75 3 50 27 Simplify your answer Type an exact answer using radicals as needed

Rationalize the denominator 8 3 11 8 3 11 Simplify your answer Type an exact answer using radicals as needed

Simplify the expression Assume all variables are positive 2 3 36a b 2 3 2 312 36a b Simplify your answer Use positive exponents only

Write the expression in exponential form T5 at a b C

Suppose that P is invested in a savings account in which interest k is compounded continuously at 7 per year The balance P 1 after time t in years is P t Pek a What is the exponential growth function in terms of P and 0 07 P t P 0 071 b If 6000 is invested what is the balance after 5 years Round

2 Which statement is true about the functions f x x 4x 4 and g x which is graphed to the right 1 The minimum value of g x is greater than the maximum value of f x 2 f x and g x have the same y intercept 3 f x and g x have the same roots 4 f x g x whenx 4 y g x X

Three different rays share endpoint A as shown in the figure A a How many different angles are formed by the three rays 3 b Describe the types of angles that are formed by the three rays There are two acute angles and one right angle There are two obtuse angles and one right angle There is one obtuse angle and one acute angle There is one acute angle and one right angle There are two acute angles and two right angles c Describe a special relationship between two of the angles ute and obtuseX angles are complementary angles

b Yes the polygon is regular It is both equilateral and equiangular No the polygon is not regular It is equilateral but it is not equiangular No the polygon is not regular It is equiangular but it is not equilateral No the polygon is not regular It is neither equilateral nor equiangular c 7 m 7m 8 m 8 m 94 7m 94 7 m Yes the polygon is regular It is both equilateral and equiangular No the polygon is not regular It is equilateral but it is not equiangular No the polygon is not regular It is equiangular but it is not equilateral No the polygon is not regular It is neither equilateral nor equiangular x X not equiangular war it is both equilateral and equiangular

b isosceles trapezoid kite 3 parallelogram rectangle rhombus right trapezoid square X

Find the remaining sides of a 30 60 90 triangle if 39 The shortest side is 1 41 The longest side is 8 40 The shortest side is 3 42 The longest side is 5

Consider the following 1 2 rectangle square 3 Classify the numbered quadrilaterals in the woodwork as specifically as possible quadrilateral 1 right trapezoid quadrilateral 2 quadrilateral 3 many rhombuses that are not squares do you see

Simplify the expression Write the answer using only positive exponents 68 6 9 6 10 68 6 9 10 6 Type exponential notation with positive exponents

9x 27 6x 18 expres 9x 27 6x 18 Type an integer or a fraction

plify the given rational expression Assume that the denominator in each case is nonzera 4214 54t 1 A 214 QUE OROor Use positive exponents only

Find the missing number of vertices faces or edges for each polyhedron a Hexagonal pyramid 6 lateral faces 7 vertices b Octagonal prism 8 lateral faces c Polyhedron edges vertices 24 edges faces 20 vertices 30 edges

59 2 1 2 AA 2 172 2 X

for a cache memory of size 32KB how many cache line does the cache hold for block Size of 32 08 64 byl bolo

A TABLE X 7 2 3 8 y 9 1 7 15 2 POINTS 26 7 and 39 12 AN EQUATION y 12x 19

system 2 5 H 6 O 11 that is equivalent to the given vector equation 5 Choose the correct answer below OA 2x 5x 5 4x1 5 7x 6x 9 OC 2x 5x 5 5 4x1 7x 6x 9 9 O B O D 2x 5x 5 4x x 5 7x 6x 9 2x 4x1 5X2 9 5 7x 6x 5

The augmented matrix of a linear system has been reduced by row operations to the form shown Continue the appropriate row operations and describe the solution set of the original system Select the correct choice below and if necessary fill in the answer boxes to complete your choice OA The solution set is empty B The solution has infinitely many elements C The solution set contains one solution 0 Type integers or simplified fractions 1 1 0 0 1 3 0 0 0 0 1 0

In a survey of 251 professional athletes it was found that 118 of them owned a convertible 116 of them owned a giant screen TV and 108 owned a sporting goods store 15 owned a convertible and a store 43 owned a TV and a store and 59 owned a covertible and a TV 6 owned all three items 1 How many athletes did not own any of the three items 2 How many owned a covertible and a TV but not a store 3 How many athletes owned a convertible or a TV 4 How marty athletes owned exactly one type of item in the survey 5 How many athletes owned at least one type of item in the survey 6 How many owned a TV or a store but not a convertible

58 69 3 3 2 1 y 414 1 23 g x x 3

Let S be the universal set where S 1 2 3 18 19 20 Let sets A and B be subsets of S where Set A 1 2 3 7 9 12 13 14 15 16 17 18 Set B 3 4 6 7 9 10 12 13 14 15 17 Set C 3 6 7 8 12 13 15 18 19 20 Find the number of elements in the set AUBUC n AUBUC Find the number of elements in the set An BnC n AnBnC

Let S be the universal set where S 1 2 3 23 24 25 Let sets A and B be subsets of S where Set A 1 2 5 10 14 16 21 22 25 Set B 3 8 9 14 16 22 24 25 Set C 2 5 6 7 10 12 13 15 19 20 23 25 Find the number of elements in the set An B n An B Find the number of elements in the set BNC n BNC Find the number of elements in the set An C n Anc

12 From a 200 foot observation tower on the beach a man sights a whale in difficulty The angle of depression of the whale is 7 How far is the whale from the shoreline

20 24 Kuta Software LLC All rights reserved Simplify Single Radicals Simplify 1 500 A 5 4 C 10 3 81x A 2 3x B 2 5 D 2 2 B 3 3x 2 2 96 4 A 3 7 C 2 2 4 27a A 3 3a B 2V D 21 B 2

11 5 Evaluate Expression Rational Exponen Simplify 7 4 3 3 34369 A 64 C 26 9 1 a A a C a 5 64x 1 8x C 6x A 7 k A k C k 9 81k 1 243k A C k B a D 32a5 B 102465 D 24016 2 B 3125x 5 D 1 15 B k D 10000K 8 B k D 729k 2 4 2 x 3 A x 5 C 8x6 8 3 4 36x6 A 216x C 343x6 6 6 25m4 A 4m 1 125m 8 9n A n C 27n 10 10 25 2 A v4 1 C 5v3 B x D x20 B x 2 D x B 125m6 D 7m B n D 125n6 B 243v 5 1 8v D

17 5n 62 7 5n 6 6n 19 28 k27 k 4 1 5 6 7 8 9 10 11 12 13 14 15 18 3 p 3 5p 3p 6 434 101 2 20 28 7x 4 7x 7 H 1

6 6 25m A 4m C 8 1 125m 3 8 9n A n C 27n 3 10 10 25 A v4 5v B 125m D 7m B n D 125n B 243v s D 8v

In R V V U3 must be linearly dep

24 XEZ AER A 4 x 3 15 3x x