Complex numbers Questions and Answers
Algebra
Complex numbersHomewor Find the indicated term of the binomial expansion 13th c 3 14 What is the 13th term Simplify your answer Question 7 12
Algebra
Complex numbersPrevious Problem BC Use the Pythagorean Theorem to determine the length of the hypotenuse Give the value for each trigonometric ratio using exact form Do not use decimal approximations sin B cos B tan B sec B csc B cot B Problem List 5 A 1 B Next Problem
Algebra
Complex numbersWithout using a calculator state the exact value of the following trig functions for the specified angle 53 0 a sin b sin c sin 27 0 3 d sin e sin f sin g sin h sin 4T 3 5T 3 7T 3 4 3 5T 3 2 23T
Algebra
Complex numbersWithout using a calculator state the exact value of the following trig functions for the specified angle a cos b cos 2 0 c cos 3 d cos T 3 e cos T 0 f cos 3 g cos h cos 4 3 5 3
Algebra
Complex numbersWithout using a calculator state the exact value of the following trig functions for the specified angle T a tan 3 2 b tan 3 4T 3 0 C tan d tan 5 e tan f tan 3 g tan 3 5T 3 h tan
Algebra
Complex numbersExponential Growth and Decay Exponential growth and decay problems follow the model given by the equation A t Pert The model is a function of time t A t is the amount we have after time t P is the initial amount because for t 0 notice how A 0 Pe t Pe P r is the growth or decay rate It is positive for growth and negative for decay Growth and decay problems can deal with money interest compounded continuously bacteria growth radioactive decay population growth etc So A t can represent any of these depending on the problem Practice The growth of a certain bacteria population can be modeled by the function A t 350e0 0796 where A t is the number of bacteria and t represents the time in minutes a What is the initial number of bacteria 6 How long will it take for the number of bacteria to double round to the nearest whole number of bacteria b What is the number of bacteria after 20 minutes round to the nearest whole number of bacteria your answer must be acc
Algebra
Complex numbersGiven a right triangle with tan 0 1 sin 0 2 cos 0 3 sec 0 4 csc 0 5 cot 0 5 7 determine the value of the other trigonometric ratios of 0 Use exact notation not decimal approximations If you need to write a number such as 3 type out sqrt 3
Algebra
Complex numbersThe population of Brazil can be modeled by the function P t 247 1 0 0151 where P t measures the population in millions and t represents the number of years since 2000 1 Using this model what was the population of Brazil in 2014 2 Predict the population of Brazil in 2026 3 If this growth rate continues in what year will the population of Brazil rongill
Algebra
Complex numbershot air balloon is floating above a straight road To calculate their height above the ground the balloonists simultaneously measure the angle of depression to two consecutive mileposts on the road on the same side of the balloon The angles of depression are found to be 16 and 19 How high in feet is the ballon
Algebra
Complex numbers18 0 0 4 3 d the value of the six trigonometric functions of 0 where is the angle formed by the positive x axis and the line segment from 0 0 to 4 3
Algebra
Complex numbersShow Transcribed Text 2 so Calculate the angle delta theta using cosine law The triangle to be considered is A BC Given that A C 23 98 A B 40 91 RC 221
Algebra
Complex numbersRewrite the following logarithms in expanded form by applying the properties of logarithms a log ry b log H Y c log x
Algebra
Complex numbersWrite the equation of the quadratic with Vertex 3 1 and point 7 3 Hint do the same as above
Algebra
Complex numbers1 y 3 2 cos x Choose the correct graph O A UNS HILLE AV 10 1 IN Ay S 10 VAN loft H ON pehod interval Do not use a graphing calculator OB O C HERINE TOTTE HILLSITTE HISHHHHHH HISSITH 0 of 1 O D Ay GOO Save
Algebra
Complex numbersSelect the correct answer Consider this equation 12 42 1 2 2 Approximate the solution to the equation using three iterations of successive approximation Use the graph as a starting point N LIN 2 2 OA OB a z IN
Algebra
Complex numbersCalculate 7 9i Give your answer in a bi form Give the solution with smallest positive angle Round both a and b to 2 decimal places
Algebra
Complex numbers2 7i 3 4i 6 points Given the following expression a 1 point State the conjugate b 4 points Simplify the expression in a bi form
Algebra
Complex numbers8 10 points Find the all solutions of this equation in the interval 0 2 3 tan 0 3 6 tan
Algebra
Complex numberspoints Given the following expression 5278 a a 1 point State the LCD b 4 points Simplify the complex fraction a PIA88
Algebra
Complex numbersSolve the equation Write the solution set with the exact solutions Also give approximate solution to 4 decimal places log q 8 4 7 O There is no solution O The exact solution set is DO 9 0 0 10 O D
Algebra
Complex numbersSelect Yes or No to indicate whether each ordered pair is a point of intersection between the line y x 5 and the parabola y x 3x 10 Ordered Pair 5 0 3 8 5 10 Yes No O
Algebra
Complex numbersA radical expression is shown below What is the simplified form of this expression O 41 31 A
Algebra
Complex numbersFind the indicated term of the binomial expansion 8th x y What is the 8th term Simplify your answer
Algebra
Complex numbersWrite a formula for the general term the nth term of the arithmetic sequence below Then use the formula for an to find a20 the 20th term of the sequence 3 8 13 18 The formula is a Simplify your answer
Algebra
Complex numbersSimplify each of the following expression Write your answer as a complex number
Algebra
Complex numbersWhich of the following values of x are solutions to the equation x 4x 57 Select all that apply A 1 31 B 4 CO D 2 1 E 2 1
Algebra
Complex numbers6 5 4 3 2 6 B A 7 2 B 2 5 C 0 4 D 2 1 2 3 4 5 6 1 Which of the following points is on a circle centered at 3 1 with a radius of 5 units 2 3 4 5 6
Algebra
Complex numbers8 10 2022 Kata Software LLC All rights reserved SUMMATIVE 3 12 Divide 8 91 43x 17x 5 13x 5 A 7x 6x 1 B 7x 6x 3 1 13x 5 S 13x 5 C 7x 6x 3 D 7x 6x 3 13x 5 Find each product 10 4a 3a 4 4a 3a 8 A 16a 9a 32 B 16a 24a 25a 12a 32 C 16a 7a 36a 32 D 16a 24a 25a 12a 32 9 11 11 8x 57x 10x 15x 45x 21 x 7 A No B Yes 9 2 35 90v 28 2v 7 4 2v 7 A 14v 7 7 B 14v 4 State if the given binomial is a factor of the given polynomial 5 2v 7 C 14v 4 D y 14v 3 ZO
Algebra
Complex numbersThe system of equations below is represented by which of the following graphs y x 4x 2 y x 2 A C 1 V 1 2 1 10 1 3 4 4 3 H 77 1 D M 5 B D 6 S A 19 t
Algebra
Complex numbersA radical expression is shown below What is the simplified form of this expression 150
Algebra
Complex numbersDetermine if the point P 3 6 is on a circle centered at 1 3 with a radius of 5 units
Algebra
Complex numbersThe complex number 6 3i represents which radical expression below A 6 9 B 6 3 C 6 9 D 6 6
Algebra
Complex numbersne complex number 9 3i 5 represents which radical expression below 0 A 9 45 B 9 i 15 C 9 45 D 9 45
Algebra
Complex numbersChoose the end behavior diagram that best describes the function f x 6 x 1x Choose the correct diagram below O A O C O B O D
Algebra
Complex numbersThe graph of a logarithmic function is given Select the function for each graph from the given options y log g x y log gx y 1 log gx y log gx 1 y log g x 1 y log g 1 x y log gx y log g x Drag each function given above into the area below the appropriate graph depending on which function is represented by which graph 65 Q 66 Q 67 Q68 12 10 8 6 4 2 X 2461 L X N 468 Q
Algebra
Complex numbers2 Which values for x below are solutions to the inequality 5 x 2 a 10 b 20 c 2 2 d 6 e 9
Algebra
Complex numbersFind the type of and the number of solutions for each equation Hint Use the discriminant 4x 12x 9 0