Complex numbers Questions and Answers

Suppose you put money in a savings account that earns simple interest Your account earns 25 in interest every year How much interest will your account earn after 3 years 75 125 50 100

The 11th and 12th Fibonacci numbers are 89 and 144 What is the 13th Fibonacci number 117 233 55 O288

We used the data to develop the quadratic equation y 0 339x 8 40x 8 36 which models the number of cellular phone subscribers y in millions in the year x where x 0 represents 1990 x 2 represents 1992 and so on Use the model and the table to the right to answer questions a f below a What value of x corresponds to 2008 X Type an integer b Use the model to find the number of subscribers in 2008 to the nearest million million Round to the nearest integer How does the result compare with the actual data in the table OA The result is less than the actual number OB The result is more than the actual number OC Neither c What value of x corresponds to 2010 X Type an integer d Use the model to find the number of subscribers in 2010 to the nearest million million Round to the nearest integer How does the result compare with the actual data in the table OA The result is less than the actual number OB The result is more than the actual number OC Neither e Assuming that the trend in the data continues what value of x corresponds to 2016 Type an integer x f Use the model to find the number of subscribers in 2016 to the nearest million million Round to the nearest integer The table shows the number of cellular phone subscribers in millions in a particular country Subscribers in millions 5 11 24 44 Year 1990 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 69 109 141 182 233 270 296 326

The complex fifth roots of i Zo Simplify your answer Type an exact answer using as needed Type any angle measures in radians Use angle measures greater than or equal to 0 and less than 2r Use integers or fractions for any numbers in the expression Z Simplify your answer Type an exact answer using as needed Type any angle measures in radians Use angle measures greater than or equal to 0 and less than 27 Use integers or fractions for any numbers in the expression 7 Simplify your answer Type an exact answer using as needed Type any angle measures in radians Use angle measures greater than or equal to 0 and less than 2x Use integers or fractions for any numbers in the expression Simplify your answer Type an exact answer using as needed Type any angle measures in radians Use angle measures greater than or equal to 0 and less than 2x Use integers or fractions for any numbers in the expression Z4 Simplify your answer Type an exact answer using as needed Type any angle measures in radians Use angle measures greater than or equal to 0 and less than 2x Use integers or fractions for any numbers in the expression

Find v v 5i 7j v Simplify your answer Type an exact answer using radicals as needed

Find the unit vector in the same direction as v v 5i j u Simplify your answer Type an exact answer using radicals as needed Type your answer in the form ai bj Use integers or fractions for a

Z W Find zw and Write each answer in polar form and in exponential form 2T Z 3 COS i sin 9 w 6 cos T isin 21 JU M The product zw in polar form is and in exponential form is Simplify your answer Type an exact answer using as needed Use integers or fractions for any numbers in the expression Z The quotient in polar form is and in exponential form is W Simplify your answer Type an exact answer using as needed Use integers or fractions for any numbers in the expression

Indicate whether 19 is prime or composite Is 19 prime or composite O Prime O Composite

Find the LCM of this set of numbers 10 20 and 50

Tammy is a senior in high school and she completed her first semester in Here s a breakdown of her grades in the class this semester Category Test Quiz Per Final Final Exam 76 75 114 45 79 58 Scores 90 80 85 75 70 90 90 80 80 70 80 65 What is Tammy s overall grade in the class 78 45 Mean Score Category 45 35 5 15

Describe all the transformation effects on the parent function of h x x when it is transformed to f x x 51 3 Describe all the transformation effects on the parent function of g x x when it is transformed to g x x 41 7

The identity element is K Determine the inverse if it exists of a J b K and c L L K L J J K L J L J K K J K L a Select the correct cnoice below and it necessary TIII in the answer pox to complete your choice OA The inverse of J is OB The inverse of J does not exist b Select the correct choice below and if necessary fill in the answer box to complete your choice OA The inverse of K is OB The inverse of K does not exist c Select the correct choice below and if necessary fill in the answer box to complete your choice OA The inverse of Lis OB The inverse of L does not exist www

Given the recursive definition a 1 3 a 1 and that a 1 which term of the sequence is 365 a It cannot be determined b The 9th term c The 7th term d The 5th term

2 5 8 3 10 6 11 Recursive Explicit Definitions Given the explicit definition t n 2n find t a 1 b 8 Oc 1 100

Giovanni was playing with blocks and started with one blue triangular block and kept adding more blocks to create the following pattern sequence JL How many blocks would he need on the 12th step of the pattern a1 az a 34 a3 a4 as a6 a7

a 15 Ob 19 n Oc 18 1 2 3 The recursive definition is t 2 1 2 1 1 was used to create the table above Determine the value of t5 4 5

Determine what number the difference is congruent to in 1 3 1 3 mod 3

Find the chromatic number of the graph below using vertex coloring 4 03 02

How many vertices are in the graph below B A 7 4 E D

Express the number in decimal 1 36 10 1 36 x 100 1 36

Express the number in 1 36 x 100 36 10

Perform the indicated operation Express the answer in de 22 5 106 5 104 22 5 106 5x104 Type an integer or a decimal

Perform the indicated operation Expre 210 000 0 0007 210 000 3 0 x 108 0 0007 Use scientific notation Use the multiplication symbol in the math palette as needed

2 9 1 32 105 9 9 10 Choose the correct answer below 4 2 10 2 OA 4 2x102 2 9 9 9 103 1 32 105 OC 9 9 103 1 32 x 105 2 9 4 2 10 2 OE 1 32 x 105 9 9 x 10 4 2x 10 2 2 9 O G 1 32 105 9 9 10 2 9 4 2 10 OB 2 9 9 9x 103 4 2x10 2 1 32 105 OD 2 9 4 2x102 9 9x10 1 32x105 OF 9 9 103 4 2x102 1 32 105 2 9 OH 4 2x102 9 9 10 1 32 105 2

2 2 10 0 0059 20 000 Choose the correct answer below 6 4 10 4 OA 6 4 104 0 0059 2 2 x 10 20 000 OC 0 0059 6 4 x 10 4 2 2 10 20 000 OE 6 4 104 2 2 x 103 20 000 0 0059 O G G 20 000 2 2 x 10 6 4 x 10 4 0 0059 OB 20 000 2 2 x 103 0 0059 6 4 10 4 OD 0 0059 2 2 x 103 6 4 x 10 4 20 000 OF 2 2 x 103 6 4 x 104 20 000 0 0059 OH 2 2 10 20 000 0 0059 6 4 10

POSSIBLE POINTS 4 Donald is on a school baseball team and has 12 base hits in 98 at bats so far this year He wants to raise his average to 210 How many of the next consecutive at bats need to be base hits to raise his batting average to 210 Write and solve an equation to describe this situation for the number of consecutive base hits MATH T

Find the value of x for which d m X Simplify your answer Type an integer or a fraction 2x 25 950 m

79 200 Use scientific notation Use the multiplication symbol in the math palette as needed

Consider the following 2 21 1 3 a Write the trigonometric forms of the complex numbers 2 21 1 3 b Perform the indicated operation using the trigonometric forms c Perform the indicated operation using the standard forms and check your result with that of part

Park service B 3 annuel after 20 years A 645 360 currentz X 360 2 7 0 0 how many buffalo in 725 C 610 D 653 03 20 year

Decide whether each of the pairs of angles given below alternate exterior angles

Here are Xavier s bowling scores 132 140 130 190 112 200 185 172 163 151 149 What is the upper quartile Enter

eplace the question marks with the correct numbers 5 x 2 x 5 X 30 30 30 5 2 5 6 2 5 6 3

Graph the equation O O 2 14 T Ke I CE y 3 1 El 4

Which graph matches the equation y log x 3 2 WING WILD WAR WY NAINTEN S

Find the x and y intercepts of the parabola y 4x 10x 12 Enter each intercept as an ordered pair x y Use a comma to separate the ordered pairs of multiple intercepts You may enter an exact answer or round to 2 decimal places If there are no solutions or no real solutions for an intercept enter Provide your answer below x intercept intercent 5

Consider the triangle below not drawn to scale b ZA LB ZC C a B Let a 9 b 10 and c your answer in degrees to at least 3 decimal places 11 Find the measure of angles ZA ZB and ZC Giv

Which is the only function below that could have a range of fx 1 i e co 1 21 i 211 2 3 1

Which function below is an ODD function Of x x x f x 4x 2x f x 2x 8x f x 3x 5x

Give the function f x x 3x determine the average rate of change from x 1 to x 3 2 3 1

Question 2 A basketball player has a the probability that the pl

Identify a pair of corresponding angles in the diag

Use the Change of Base Formula to rewrite the logarithm with the common logarithm or the natural logarithm log3 73 Use a calculator to evaluate the logarithm Round to four decimal places

Express a 44 A and B the equation in logarithmic form 256 is equivalent to log4 A B b 10 2 C and D 0 01 is equivalent to log10 C D

Write z and 22 in polar form 2 2 2 cos Z2 2122 2 21 2 2 2 31 Find the product z1z2 and the quotients and Express your answers in polar form 1 i sin

Given x 3x 6 and g x x 2 2 Part a Determine fog x Part b Determine g f x Part c Are the functions inverses of each other Part d Explain your answer to Part c For the toolbar press ALT F10 PC or ALT FN F10 Mac

nd the requested value and tell what the other numbers represent a Find t 960 4000 0 04 t t Identify the following Enter the rate as a decimal interest principal rate b Find P 14 280 P P 0 04 9 P Tell what the other numbers represent Enter the rate as a decimal future value rate

5x Solve y 15e 2sinx given that the solution passes through the point 0 4 a y 15e5x 2cosx 21 b y 3e5x 2cosx 9 c y 75e5x 2cosx 77 d y 3e5x 2cosx 5

K The figure to the right suggests a number of lines a lines may be described by naming two points and be described by naming three points Use the figur following Parallel planes Select two planes that are parallel below A Plane ABC

In a circle with radius 6 9 an angle measuring 5 6 radians intercepts an arc Find the length of the arc to the nearest 1oth