Complex numbers Questions and Answers

1 A savings account with an initial deposit of 10 000 has an annual Interest rate of 3 2 The Interest on the account is compounded monthly What is the balance of the account to the nearest cent after 6 years

The function f z is translated 7 units left to create g x What is an equation of g x

Write a quadratic equation with the given solutions below such that the terms of the quadratic contain no common factors 3 8 A quadratic equation is 0

a Tom Perez is playing craps at Vegas Feeling lucky he throws two dice one red one green and observes the uppermost numbers Test for independence and show all work i 1 5 points The red die comes up 2 The sum is 5 ii 1 5 points Neither die is 4 Both die show the same number b 2 points In 1980 approximately 10 000 people were sent to prison in California Of those approximately 2000 had violated their parole 5000 were illiterate If 1200

This question has two parts Circle S has a radius of 10 centimeters and contains a sector with an arc length of 5 pi 3

x Consider that ALMN is similar to APQR and the measure of ZP is 80 What is the measure of L X A 70 B 20 C 80 D 90

Plot the following polar points Hint Change the angles to degrees first Place the letter by your point on the graph 4 2 5 150 180 210 47 120 240 B 1 90 37 2 60 300 c 1 77 30 0 330 D 2 2 5 E 3 7

A quadratic function is defined by the expression x2 20x 19 What is the expression in vertex form What is the coordinate of the vertex You will pick TWO CORRECT answers Be CAREFUL to look CLOSELY at the differences before selecting your answer O 2 10 81 O x 10 81 O 10 81 O 10 81 O 10 81

20 2 Suspected Irrational Find exact solutions not approximate solutions to each equation and show your reasoning Then say whether you think each solution is rational or irrational Be prepared to explain your reasoning a x 8 0 2 b x 5 2 1 c x 7 2 d 5 5 0

Find the sum of the vectors 4 3 2 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Evaluate the expression for h 7 and j 6 h j 1 2

Evaluate the expression for t 5 61 6t 12 11

3 Use the line graph to determine the maximum number of paint jobs and the month during which they occurred YA Number of Jobs 60 50 40 30 20 10 0 January February March April Month S 4 Use the line graph to calculate the percent increase in the number of paint jobs from January to February May

Evaluate the expression 6 2 x 5 00 5 Write your answer as a fraction or as a whole or mixed number

A restaurant chef made 2 2 5 jars of pasta sauce Each serving of pasta requires 3 10 of a jar of sauce How many servings of pasta will the chef be able to prepare using the sauce Write your answer as a fraction or as a whole or mixed number servings

A cow is tethered to one corner of a square barn 15 feet by 15 feet with a rope 190 feet long See the illustration to the highly What is the maximum grazing area for the cow The maximum grazing area is approximately square feet

Bill owns a small manufacturing business In 1 year he wants to buy a machine that costs 10 000 00 If Bill opens a savings account that earns 12 interest compounded continuously how much will he have to deposit as principal to have enough money in 1 year to buy the machine Round your answer to the nearest cent

1 Use the bar graph to determine the number of frames assembled by the Tuesday day shift 2 Use the bar graph to calculate the percent decrease in output from the Monday day shift to the Monday night shift 388288988 100 Number of Frames 90 60 10 0 Weekly Frame Assembly Monday Day Nic Tuesday Wednesday Thursday Day of Week

Solve Write your answer in simplest form using integers fractions and natural logarithms 49 e X 00 In

The radius of a circle is 6 centimeters What is the circle Use 3 14 for r 6 cm

Emmy opened a savings account and deposited 2 000 00 as principal The account earns 13 interest compounded continuously How much interest will she earn after 1 year Round your answer to the nearest cent

Lucy opened a savings account and deposited 500 00 as principal The account earns 1 interest compounded continuously What is the balance after 5 years Use the formula A Pet where A is the balance final amount P is the principal starting amount e is the base of natural logarithms 2 71828 r is the interest rate expressed as a decimal and it is the time in years Round your answer to the nearest cent

The graph shows a parabola and its directrix Write the equation of the parabola in vertex form 10 8 6 4 104 8 6 4 2 2 0 2 4 6 8 10 2 4 6 8 X 10

Deductible Monthly Premium Individual Plan 1 Plan 2 1000 00 3 000 00 70 00 35 00 Individual Spouse 820 00 740 00 Individual Child 480 00 420 00 Individual Family 1 100 00 1 200 00 In which plan would you end up spending more out of pocket money for an emergency room visit A Plan 2 because it has a higher deductible B Plan 2 because it has lower monthly premiums C Plan 1 since it has a lower deductible D Plan 1 since it requires higher monthly premium payments

There is a population of 30 bacteria in a colony If the number of bacteria doubles every 500 hours what will the population be 1 000 hours from now bacteria

5 Observe a 5 planet system in our galaxy X the number of planets that can support life O 0 1 2 3 4 5 Values of X O All positive integers O1 2 3 4 5 6 Flip a coin three times Y O 0 1 2 3 Values of X 1 2 3 1 2 2 A the number of heads that come up Check Check

Throw a pair of fair 7 sided dice and take X to be the sum of the numbers facing up Fill in the indicated values of the partial probability distribution table The other missing values will ppear when you correctly answer the question or press Do it X P X x 2 3 4 5 6 7 8 9 10 11 12 13 14

Find the truth value of each of the statements in 1 If 1 3 or 1 2 then 1 1 2 If everything you say is false then 1 2 3 1 1 is a necessary condition for 1 to equal 2 4 If I fail to pay homage to the great Den then the sun will still rise in the east 5 The sun rises in the east only if it sets in the east 6 In order for the sun to rise in the east it is necessary and sufficient that it sets in west

Algebra 2 Composition of Functions WS Perform the indicated operation 1 g x x 5 h x x 2 Find goh x X 50x 42 3 g x 4x 3 h x x 4x Find goh x 5 g x x 3 h x 3x 5 Find goh 1 Name Sebastian Gonzalez Date 2 f x 4x 2 g x 2x 5 Find fog x 4 f x x 1 g x x 4 Find fog x 6 h x 2x 2 g x x 4x Find hog 1

Plot the points from the table below on the polar grid that follows The radial lines are 30 degrees apart from each other T 4 1 5 3 5 3 5 5 5 0 EN WE GO 5 4 3 3 11 6 Op

function notation Please help me solve C 13 5 f 32

East Wind Community College had 6072 part time students enrolled in 2007 and 6408 part time stud enrolled in 2013 Create a linear model for the enrollment of part time students at East Wind Community College Let represent years after 2000 E represent the enrollment of part time students

Apply 3 6 Julian is going to build a birdhouse The back of the birdhouse has the dimensions shown If wood costs 0 17 per square inch what is the least he will spend on the back of the bird house Round to the nearest hundredth if necessary 7 William s father wants to buy a new glass top for the desk in his home office The dimensions of the top of the desk are shown If glass is 0 06 per square inch how much will the new glass top cost for his desk Round to the nearest hundredth if necessary 14 in 32 in 8 in 48 in 14 in 20 in 16 in 8 in 14 in

2 Graph 12x 3y 4z 12 in three dimensions and name the coordinates for each intercept x int y int u X zi z int B

9 a Consider the function f x log125 1 Part A For which value of x does f x 3 b Part B For which value of x does f x 23

1 Simplify the given expression to a single trigonometric identity tan 0 cos 0 A cos 0 B csc 0 sin 0 D cot 0

12 There are three parts to this question Use the coordinate 8 15 to answer the following a Part A C The coordinate is located in quadrant b Part B Determine the length of the radius r rt C Identify the exact ratios for the following trigonometric functions sin cos

16 Convert 850 to radians Use the text editor to make the answer in terms of a fraction 3 3 in the answer box Your answer should be a proper fraction improper fraction or an integer 2 EX If the answer is put 71

What is the value of sin 7 1 A B D E 1 2 2 2 1 2 2 2

3 The point 3 2 2 is on the unit circle What is the measure in degrees of the angle passing through this point

2r 3 the radian measure equals 120 180 240 270 3K degrees and equals 2 d

Behavior of Graphs Determine if the graph below is increasing or decreasing Select an answer 3

Use the graph of f to evaluate the following 6 5 3 2 1 f x 1 2 3 4 5 X to a

2 Ryan has 4 cups of grape juice and Kelsey has 7 cups of lemonade They want to combine what they have to make punch How many cup servings of punch can they make Equations

4 Cole s rectangular garden has an area of 54 square feet What could be the dimensions of the garden

Find the average rate of change of the function f x 1x 5x 8 over the interval 4 1 Average rate of change Give exact answer

Question 8 2 points Rewrite the logarithm as an exponential equation 2 log 16 24 16 16 4 0 4 6 2 4 16 Question 9 2 points Saved Simplify log 0 100

Infinite Geometric Series Find the sum of the infinite geometric series if possible 1 1 1 2 8 32 32 128 O O 1 2 2 2 points 3 000 128 co the series is divergent Question 25 2 points

Question 21 2 points Arithmetic Sequence What is the common difference of the sequence shown below 4 6 5 9 11 5 2 5 5 O 10 15 5

raph the system of linear inequalities 2 5 4 3 2 1 1 2 4 27 2 1 23x 2 y 1 x 3