# Complex numbers Questions and Answers

Algebra

Complex numbersnegative leading term x intercepts y intercept Example Next to each graph tell whether it is even or odd function lead term coefficient or end term behavior as x Infinity and as x infinity values of roots x intercepts Then match each graph with an equation below I M W 0 III y A II X IV YA VI 0 YA 01 X X

Algebra

Complex numbers15 Find the domain and range of functions given as equation or graph 1 4 Examples Finding the domain of expressions and equations denominator can t be to zero and no even roots of negative numbers A Find the domain of the expression a x 2 b x 2 C x 5 d x 5 e All real numbers B Find the domain of the expression f x1 x 1 g x 1 h x7 x 5 i x 7 x 5 j All real numbers 2 x 5 x x 1 x 2x35

Algebra

Complex numbersA 16 pound bag of Kitty Kibbles is 24 00 An 8 pound bag of Feline Flavor is 11 20 Which statement about the unit prices is true o Feline Flavor has a higher unit price of 1 50 pound

Algebra

Complex numbersListen Which of the following is not equivalent to tan x Oa tan x Ob cot x Oc sin z cos z d sin z cos z

Algebra

Complex numbersQuestion de pr 4 Listen Which of the following is equivalent to the expression tan 0 cot 0 a sin 0 Ob 1 Oc cos c cos 0 d 2 tan 0 Question 34 1 point Listen Which expression is equivalent to 1

Algebra

Complex numbersListen Since the relationship sin a cos a 1 is correct it stands to reason that sec a csc a 1 must also be correct This statement is a Not true only for the interval 0 x 2m Ob True for the interval 0 x 2m Oc Never true d True for all values of x Previous Page Next Page Page 3 of 4

Algebra

Complex numbersListen The adjacent side of an unknown angle in a right triangle is the same length as the opposite side What is the measure of this unknown angle O b Od t d There is not enough information given to find the angle Question 13 1 point 4 Listen

Algebra

Complex numbers4 Listen If is a solution to sin x k for some value of k then another solution would be O a 192 O b Oc 11 O d 23 point b 13 Question 8 1 point 40 Listen

Algebra

Complex numbersQuestion 4 1 point Hypothesis A student playing a board games believes that a standard six sided die is incorrectly weighted The student thinks that the number 1 is showing up more than it should What is the alternative hypothesis using symbolic notation a H P 1 b H P 1 Od c H P 1 1 d H P 1 int

Algebra

Complex numbers19 Question 5 of 6 This quiz 6 point s possible This question 1 point s possible O Submit quiz Let N 1 2 3 4 be the set of natural numbers and S 1 4 9 16 be the set of squares of the natural numbers Then N S since we have the one to one correspondence 1 1 24 39 416 n n This example is interesting since it shows that an infinite set can be equivalent to a proper subset of itself Show that each of the following pairs of sets are equivalent by carefully describing one to one correspondence between the sets Complete parts a through c below b The sets of odd and even numbers D 1 3 5 7 and E 2 4 6 8 Which of the following describes a one to one correspondence between the two sets I OA For each element in D there is an element in E that is 1 greater than that element B For each element in D there is an element in E that is 3 greater than that element

Algebra

Complex numbersP 19 Draw and shade Venn diagrams that correspond to the following sets a AUBUC b AU BNC c ANB UC d AnBnC a Which diagram below is the Venn diagram representing AUBUC OA Question 2 of 6 A B Q B A Q This quiz 6 point s poss This question 1 point s possible O C A

Algebra

Complex numbersQuestion 1 of 6 This quiz 6 point s possible This question 1 point s possible Let U 1 2 3 20 Write the following sets by listing the elements in braces a xEU x is odd and 5 x 9 b xEU x is divisible by 4 c xEU x 2n for some nEN a Write xEU x is odd and 5 x 9 by listing the elements in braces Choose the correct answer below Su

Algebra

Complex numbersomework The colored rods shown here are 1 centimeter square and of lengths 1 cm 2 cm 3 cm 10 cm We say that a rod measures another rod if a number of the first rods placed end to end are the same length as the given rod Answer parts a through g a Which rods will measure the 9 rod 5 4 3 12 Part 1 of 7 1 2 3 points O Points 0 of 1

Algebra

Complex numbersme Left 0 28 14 Neftali Moreno Miranda Attempt 1 Mr Jones and Mr Smith teach the same subject but has two grading scale Listed below are the two grading scales If you were in Mr Jones class Category Test CW HW Final Category Test CW HW Final Scores 84 95 90 68 If you were in Mr Smith s class Scores 84 95 90 Category 40 15 5 10 68 Category 60 15 15 10 If you were in Mr Smith s class what would be your overall grade DO NOT round your answer Be sure to include a in your answer

Algebra

Complex numbersQuestion Solve 4 6x2 8 0 Enter answers separated by a comma Provide your answer below FEEDE

Algebra

Complex numbersb Suppose that the size of each conjugacy class in G is at most 2 Show that for all ge G the centralizer CG g is a normal subgroup of G

Algebra

Complex numbersFind the missing side of the triangle 10 5 mi x 16 2 mi 8 2 mi 13 9 mi 12 3 mi 6 5 mi

Algebra

Complex numbers8 Show that the function Log z a 1 represents a complex potential of a flow within the disc z 1 which has a sir at z a see Example 10 Section 3 4

Algebra

Complex numbersThis question 1 point s possible The number of farms in a region is decreasing In 2007 there were approximately 9 5 million farms while in 2019 there were only approximately 7 6 million farms Find the percent of decrease in the number of farms The percent of decrease in the number of farms is Type an integer or a decimal Submit test

Algebra

Complex numbersPerform the indicated operation 16 x 2x 15 16 x 2x 15 9 X 3 9 X 3 Simplify your answer www

Algebra

Complex numbersThis question 1 point s possible Write an equation of the line with the given slope m and y intercept 0 b m 0 b 7 Submit tes The equation is Simplify your answer Type your answer in slope intercept form Use integers or fractions for any numbers in the equation

Algebra

Complex numbersThis question 1 point s possible The Pool Fun Company has learned that by pricing a newly released Fun Noodle at 4 sales will reach 8000 Fun Noodles per day during the summer Raising the price to 5 will cause the sales to fall to 4000 Fun Noodles per day The equation is Type your answer in slope intercept form b Predict the daily sales of Fun Noodles if the price is 4 50 Submit test a Assume that the relationship between sales price x and number of Fun Noodles sold y is linear Write an equation in slope intercept form describing this relationship Use ordered pairs of the form sales price number sold sales

Algebra

Complex numbersGraph the system of equations x 2y 4 2x 4y 1 A No Solution Help 10 9 8 7 6 5 4 321 10 9 6 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 2 8 9 10 WebAssign Graphing Tool State whether the system is consistent inconsistent or dependent consistent O inconsistent dependent Fill State whether the system has one solution no solution or infinite solutions one solution Ono solution Graph Layers After you add an object to the graph you can use Graph Layers to view and editi properties

Algebra

Complex numbersA study found that between 2011 and 2015 about 59 5 of workers commuted less than 26 minutes to work The margin of error for the study was 2 Find the 95 confidence interval for this situation Enter the smallest value in the first blank and the largest value in the last blank Do not add sign

Algebra

Complex numbersFind the area of the triangle ABC A 50 0 B 37 7 c 25 1 m What is the area of the triangle 2 m Round to the nearest tenth as needed

Algebra

Complex numbersA Super Happy Fun Ball is dropped from a height of 16 feet and rebounds of the distance from which it fell 7 8 How many times will it bounce before its rebound is less than 1 foot It will bounce times before its rebound is less than 1 foot How far will the ball travel before it comes to rest on the ground It will travel feet before it comes to rest on the ground

Algebra

Complex numbersPaul is saving for a down payment to buy a house The account earns 13 interest compounded quarterly and he wants to have 15 000 in 4 years What must his principal be Round your answer to the nearest cent Do not round at any other point in the solving process only round your answer

Algebra

Complex numbersWrite an equation for the parabola whose graph is given below Enter your answer in general form 6543 5 2 1 7 6 5 4 3 2 11 1 2 3 4 5 6 23456 2 3

Algebra

Complex numbers2 Use Horner s method to evaluate the polynomial p x 5x 10x 7x 13 at z 2 and count the number of arithmetic operations that you implemente

Algebra

Complex numbersSolve the following equation List all the solutions separated by commas Provide your answer below 4x5 16x

Algebra

Complex numberssurveyor has determined that a mountain is h 2470 ft high From the top of the mountain he measures the angles of depression to two landmarks at the base of the mountain and finds them to e 42 and c 42 Observe that these are the same as the angles of elevation from the landmarks as shown in the figure below The angle between the lines of sight to the landmarks is 68 alculate the distance between the two landmarks Round your answer to the nearest integer ft Enter a number 680

Algebra

Complex numbersA data set lists the heights of students Which of the following charts could be used to display the data and why Bar chart because the data is categorical O Bar chart because the data is numerical Line plot because the data is categorical O Line plot because the data is numerical

Algebra

Complex numbers6 X If two angles of one triangle are congruent to two angles of another triangles then the two triangles are similar Sif LS LT and LR LV then ASRP ATVX Let s try it Verify the triangles are similar by AA similarity then write a similarity statement Justify AZQp AZ QOX 1 SIDE SIDE SIDE SIMILARITY If all 3 pair of corresponding sides lengths of two triangles are proportionate then the two triangles are similar 8 Y SZ 36 48 F 30 Q K Similarity Statement PE LX L ZAP ZO PEL 12 70 QK QH KH DY DN YN then AQHK ADNY Let s try it Verify the triangles are similar by SSS similarity then write a similarity statement Justify E If R They are similar by b 1 76 H Y X 19 19 N

Algebra

Complex numbersCE Final F Find the slope of the line and write a sentence explaining the meaning of the slope as a rate of change Attach the proper units The graph approximates global sales and rentals y in billions of U S dollars of Blu ray DVD format movies for year x Sales and Rentals of Blu Ray DVD Movies Billions of US dollars 9 4 3 5 8 8 8 30 25 20 15 10 5 Question 25 of 39 0 2014 191 2014 2016 2018 9 5 2018 2020 2022 Year Q Q 4 COD possible This question 1 point s possible The slope of the line is m Type an integer or a decimal Submit test Select the correct choice below and fill in the answer box within your choice Type an integer or a decimal O A Every 1 year the global sales and rentals of Blu ray DVD movies decreases by S billion OB Every 4 years the global sales and rentals of Blu ray DVD movies decreases by S billion OC Every 4 years the global sales and rentals of Blu ray DVD movies increases billion by O D Every 1 year the global sales and rentals of Blu ray DVD movies increases by billion

Algebra

Complex numbersSolve the equation for x X 2 2 X point s possible Select the correct choice below and if necessary fill in the answer box to complete your choice O A X Type an integer or a fraction Simplify your answer OB The solution is all real numbers OC There is no solution Subm

Algebra

Complex numbersSolve the equation x 6 7 x 6 9 14 14 Select the correct choice below and if necessary fill in the answer box to complete your choice OA x Type an integer or a simplified fraction Use a comma to separate answers as needed B There is no solution

Algebra

Complex numbersFind the second coordinate of the point of intersection of the given line and the given plane Noteikt taisnes x 3 y 4 z 4 5 1 7x y 42 47 0 krustpunkta otro koordin ti un plaknes

Algebra

Complex numbersAccording to psychologists IQs are normally distributed with a mean of 100 and a standard deviation of 16 a What percentage of the population has IQs between 84 and 100 b What percentage of the population has IQs below 68 a should have IQ scores between 84 and 100 Type an integer or a decimal b should have IQ scores below 68 Type an integer or a decimal PANDE

Algebra

Complex numbersLet V be the vector space of all 2 x 2 matrices and let W be the set of matrices of the form X X 2 Z y Verify that W is a Subspace of V and hence find dim W

Algebra

Complex numbersWrite z and 2 in polar form Z 22 2 2 21 2 1 1 Find the product z122 and the quotients Z122 232324 and Express your answers in polar form

Algebra

Complex numbersThe height y in feet of a ball thrown by a child is 1 11 12 6x 3 where z is the horizontal distance in feet from the point at which the ball is thrown a How high is the ball when it leaves the child s hand b What is the maximum height of the ball c How far from the child does the ball strike the ground feet feet feet

Algebra

Complex numbersShelia swam 5 mi and ran I mi in a total of 1 hr 20 min hr In another training session she swam 7 mi and ran 3 mi in a total of 2 hr Determine the speed at which she swims and the speed at which she runs Assume that her swimming speed was the same each day and that her running speed was the same each day Part 0 2 Part 1 of 2 Sheia ciims at mnh