Complex numbers Questions and Answers

Homewor 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 numbers
Homewor Find the indicated term of the binomial expansion 13th c 3 14 What is the 13th term Simplify your answer Question 7 12
Previous 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 numbers
Previous 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
Find the indicated term of the binomial expansion 7th x y 10 The 7th term is
Algebra
Complex numbers
Find the indicated term of the binomial expansion 7th x y 10 The 7th term is
Without 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 numbers
Without 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
Without 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 numbers
Without 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
Without 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 numbers
Without 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
2 27x6 35x 8 0
Algebra
Complex numbers
2 27x6 35x 8 0
Exponential 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 numbers
Exponential 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
Given 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 numbers
Given 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
The 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 numbers
The 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
hot 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 numbers
hot 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
18 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 numbers
18 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
Show 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 numbers
Show 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
Rewrite the following logarithms in expanded form by applying the properties of logarithms a log ry b log H Y c log x
Algebra
Complex numbers
Rewrite the following logarithms in expanded form by applying the properties of logarithms a log ry b log H Y c log x
Write the equation of the quadratic with Vertex 3 1 and point 7 3 Hint do the same as above
Algebra
Complex numbers
Write the equation of the quadratic with Vertex 3 1 and point 7 3 Hint do the same as above
1 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 numbers
1 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
Select 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 numbers
Select 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
Calculate 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 numbers
Calculate 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
2 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 numbers
2 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
8 10 points Find the all solutions of this equation in the interval 0 2 3 tan 0 3 6 tan
Algebra
Complex numbers
8 10 points Find the all solutions of this equation in the interval 0 2 3 tan 0 3 6 tan
points Given the following expression 5278 a a 1 point State the LCD b 4 points Simplify the complex fraction a PIA88
Algebra
Complex numbers
points Given the following expression 5278 a a 1 point State the LCD b 4 points Simplify the complex fraction a PIA88
Solve 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 numbers
Solve 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
Select 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 numbers
Select 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
What is the value of n in the equation 0 18 128n A 64 B C 64 i
Algebra
Complex numbers
What is the value of n in the equation 0 18 128n A 64 B C 64 i
Which expression is equal to 6 5 2 3i A 3 3i 7 9i DOO C 3 9i 7 3i
Algebra
Complex numbers
Which expression is equal to 6 5 2 3i A 3 3i 7 9i DOO C 3 9i 7 3i
A radical expression is shown below What is the simplified form of this expression O 41 31 A
Algebra
Complex numbers
A radical expression is shown below What is the simplified form of this expression O 41 31 A
on of f x
Algebra
Complex numbers
on of f x
4x y The fifth term of the binomial expansion is Simplify your answer
Algebra
Complex numbers
4x y The fifth term of the binomial expansion is Simplify your answer
Find the indicated term of the binomial expansion 8th x y What is the 8th term Simplify your answer
Algebra
Complex numbers
Find the indicated term of the binomial expansion 8th x y What is the 8th term Simplify your answer
Write 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 numbers
Write 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
Simplify each of the following expression Write your answer as a complex number
Algebra
Complex numbers
Simplify each of the following expression Write your answer as a complex number
Which 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 numbers
Which 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
Simplify 2 5
Algebra
Complex numbers
Simplify 2 5
6 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 numbers
6 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
8 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 numbers
8 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
The 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 numbers
The 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
What are the solutions for the given equations below
Algebra
Complex numbers
What are the solutions for the given equations below
A radical expression is shown below What is the simplified form of this expression 150
Algebra
Complex numbers
A radical expression is shown below What is the simplified form of this expression 150
What are the solutions for the given equations bel 2x 7 1
Algebra
Complex numbers
What are the solutions for the given equations bel 2x 7 1
Solve the system of equations y 6x 16 y x 7
Algebra
Complex numbers
Solve the system of equations y 6x 16 y x 7
Determine if the point P 3 6 is on a circle centered at 1 3 with a radius of 5 units
Algebra
Complex numbers
Determine if the point P 3 6 is on a circle centered at 1 3 with a radius of 5 units
The complex number 6 3i represents which radical expression below A 6 9 B 6 3 C 6 9 D 6 6
Algebra
Complex numbers
The complex number 6 3i represents which radical expression below A 6 9 B 6 3 C 6 9 D 6 6
ne 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 numbers
ne complex number 9 3i 5 represents which radical expression below 0 A 9 45 B 9 i 15 C 9 45 D 9 45
Choose 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 numbers
Choose 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
The 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 numbers
The 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
Which expression below is equivalent to 3 2x 4 3 x 5 3x 27 03x 27 9x 27 3x 3
Algebra
Complex numbers
Which expression below is equivalent to 3 2x 4 3 x 5 3x 27 03x 27 9x 27 3x 3
2 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 numbers
2 Which values for x below are solutions to the inequality 5 x 2 a 10 b 20 c 2 2 d 6 e 9
What is the value of x in the equation x 6x 12 0
Algebra
Complex numbers
What is the value of x in the equation x 6x 12 0
Solve the equation State whether the solutions are real or non real x 6x 16
Algebra
Complex numbers
Solve the equation State whether the solutions are real or non real x 6x 16
Find the type of and the number of solutions for each equation Hint Use the discriminant 4x 12x 9 0
Algebra
Complex numbers
Find the type of and the number of solutions for each equation Hint Use the discriminant 4x 12x 9 0