Complex numbers Questions and Answers

0 Solve the equation below and find the variation constant k Find x when y 23 if y varies directly as x and y 52 when x 15 Round your answer to the nearest thousandth if necessary x k

10 Solve the system of equations by substitution y x 1 2y x 6 3

7 1 3x 4y 6 x 2y 8

APPLICATIONS A missile is fired such that its height above the ground is given by h 9 8t 38 2t 6 5 whe represents the number of seconds since the rocket was fired Using the quadratic formula determine to the nearest tenth of a second when the rocket will hit the ground

4 Does the following Hours Worked 12 4 7 O yes no data show a direct variation Total 60 00 85 00 115 00

Algebraically solve the system of equations shown below Note that you can use either factoring or the quadratic formula to find the x coordinates but the quadratic formula is probably easier y 6x 19x 15 and y 12x 15

Solve 5a 10a 205 by completing the square Use a comma to separate multiple values Provide your answer below

3 4 If f x 5x 4x then f a 1 12a 5 2 5 4 a final answer 1 5 Which of the following is equivalent to 16 X 4 1 3 5 49 16 2 x4 4 12a 1 3 3x 4 2 3 4 4 x 6x MMDS for all x 0 Show the manipulations that lead to your

Question 4 of 9 Step 1 of 3 After 20 years Jenny s account earned 300 in interest If the interest rate in decimal form is 0 03 how much did Jenny initially invest Step 1 of 3 Choose the correct formula Answer OA bh OP a b c C 2nr h b c 6 23 Correct A 01 Prt P 21 2w P 4s 5 C F 32

Use the Square Root Property to solve the quadratic equation 3q 3 Use a comma to separate multiple solutions Provide your answer below

radius Step 3 of 3 Solve the problem by substituting in the appropriate value s of the known variable s in the formula you found in the previous step Round your answer to two decimal places if necessary

The Earth and the Moon effect on each other with equal force value O True O False

38 Solve for x in the equation x4 81 0 Leave your results in polar form What is one of the answers A 3 cos 90 i sin 90 OB 3 cos 112 30 i sin 112 30 3 cos 157 30 i sin 157 30 C D 3 cos 135 i sin 135

5 4 3 2 1 y 5 A 3 2 pobed 1 4 5 1 2 1 2 3 4 5 q Complete an equation for the function graphed above

For the series below a find the series radius and interval of convergence For what values of x does the series converge b absolutely c conditionall 00 5 1 x 5 1 n 1 a The radius of convergence is

10 Choose the algebraic sentence that most correctly matches this English sentence Four more than nine times a number is less than five times that number 04 9n 5n O 9n 4 5n O9n 4 5n

12 At what speed is the car s fuel economy most efficient Miles per Gallon y 55 50 45 40 35 30 25 20 15 10 5 10 20 30 40 Speed mph 50 60 70 80

6 At what speed is the car s fue economy less than 35 miles per gallon Miles per Gallon y 55 50 45 40 35 30 25 20 15 10 5 Speed 10 20 30 40 Speed mph mph x 50 60 70 80

D Question 7 solve the inequality 2x2 5x 3 0

Paper 2 Google Docs D2 Quiz 1 4 1 6 MAT 100 08 Submit Assignment Question 5 Quiz 1 4 1 6 of 12 Step 2 of 3 The circumference of a circle is 267 Step 2 of 3 Without substitution s

Reduce to lowest terms 21 2x 12x 3x 6x

V Charlotte Cloutier Paj Save E Question 1 d

Chapter Quiz 7 TB MC Qu 08 103 Static Plerce Corporation

10 The garden s length 1 is eleven feet longer than the width w If th perimeter is 42 feet create the best equation for the situation

Now find the p value for this correlation using the Pearson correlation p value calculator B You will need to enter the correlation coefficient r from your answer above AND the sample size n for the Filtered Dataset tab hint to get the sample size for the Filtered Dataset tab count the number of rows of DATA not including the variable name on the first row Make sure you are using a 0 05 significance level Is there a significant correlation between Fertility Rate 2008 and GDP per capita O Yes the p value is less than 0 05 O No the p value is not less than 0 05 O The p value is not attainable

Obtain a scatterplot of life expectancy 2008 vs fertility rate 2008 Hint Highlight the columns with Life Expectancy 2008 and Fertility Rate 2008 Go to Insert Chart Scatter and select the first option with dots only Based on this scatterplot what is the direction of this relationship O Negative O Positive O No relationship

A recent study Garcia Tor 2009 investigated the possibility that taking the SAT in a crowded room might be associated with lower scores than taking the SAT in a less crowded room For each of the 50 states they examined the average SAT scores in the state and compared it to a measure of overcrowding which they defined as the ratio of the number of students who took the exam divided by the number of places in the state in which the exam was given They found a correlation of 68 Based on the results from this study which of the following statements is true Check all that apply There is a negative relationship between ratio of number of seats to number of test sites and average SAT score There is a positive relationship between ratio of number of seats to number of test sites and average SAT score There is no relationship between ratio of number of seats to number of test sites and average SAT score As crowding increases i e as the ratio between the number of seats to number of test sites increases average SAT test scores increase As crowding increases i e as the ratio between the number of seats to number of test sites increases average SAT test scores decrease Reducing the ratio of number of seats to number of test sites will help students improve their SAT scores in other words if we reduce crowding then SAT scores will go up

Write the partial fraction decom 2 5 Simplify you

In Exercise 9 3 3 problem 8 you were asked to state the transformations from the parent function y x The function f x in problem 8 has been shifted up 9 units and vertically stretched Further in problem 12 you were asked to find the inverse function for problem 8 This is possible without a domain restriction because f x is one to one The answer for the inverse will be of the form C A B Choose the correct values for A B and C below A Select f by a factor of 2 B Select C Select

lect all of the following tables which represent y as a function of x Y y 3 853583 Y 2 1 1 7 13 83 335 00 0 2 6 8 7 16 12 X Y 5 2 2 3 2 7 13 6 9 10 X 2 1 4 9 13 33 8 10

Write the explicit formula of the geometric sequence Fill in the formula a a r 1 2 4 8 16 n 1

22 i Find the quotient Write your answer in factored form x 9x 18 x 6x 8 1 3x 18 x 2x 8 x 6 x 2 x 2 x 6 x x x 2 Save E

Land differs from other property because it is not subject to depreciation True or False Static Land differs from other proper True False

9 10 Saved Aley Company pays all its employees a graduated commission scale 3 on the first 30 000 sales 5 on sales from 30 001 to 110 000 and 7 on sales more than 110 000 Wyatt an employee of Aley had 130 000 in sales What commission did Wyatt eam Commission

O No Solution Help 2x 3y 12 3 6 X 10 0 infinitely many solutions 8 7 6 NO SOLUTION 8 9 10 Clear All Fill WebAssign Graphing Tool Graph Layers Use the graph to determine whether the system has one solution no solution or infinitely many solutions one solution Ono solution After you add an object to the graph you can use Graph Layers to view and edit its properties If there is exactly one solution use the graph to find it If there is no solution enter NO SOLUTION If there are infinitely man

4 DETAILS Find the two ratios that are equal Select all that apply 12 S 18 18 24 28 49 Use them to write a proportion 3 4 1 00 12 18 0 18 24 12 18 12 18 ww 28 49 LARMPMT1 6 4 017 18 24 11 18 24 11 28 49 28 49

point If 3000 dollars is invested in a bank account at an interest rate of 4 per cent per year find the amount in the bank after 10 years if interest is compounded annually Find the amount in the bank after 10 years if interest is compounded quaterly Find the amount in the bank after 10 years if interest is compounded monthly Finally find the amount in the bank after 10 years if interest is compounded continuously

E b Consider the following A smal Panser

Evaluate q 1 p for p 0 254105 q Type an integer or a decimal Do not round

Current Attempt in Progress Rensing Groomers is in the dog grooming business Its operating costs are described by the following formulas Grooming supplies variable y Direct labor variable Overhead mixed 0 3x y 0 13x y 10 400 1x Milo the owner has determined that direct labor is the cost driver for all three categories of costs a Prepare a flexible budget for activity levels of 510 590 and 660 direct labor hours List variable costs before fixed costs RENSING GROOMERS Flexible Budget

Evaluate F S S N H 22 for s 5 91 and s 5 43 F 1 18 Round to two decimal places as needed

repre teval on the number line Complete parts a through c below a Find the value that is in the middle of the interval and let the variable m represent that m Type an integer or a decimal Do not round b Find the distance from the middle of the interval to either endpoint and let E represent that E Type an integer or a decimal Do not round c Write the given interval in the format m E m E Type integers or decimals Do not round

If 0 111 0 777 is an interval on the number line find the value that is in the middle of the interval The value is Type an integer or a decimal Do not round

d Summer Solstice Clear my choice The International Space Station

14 b must be farther from us c must be closer to us O d appears brighter Clear my choice Kepler s Third Law involved which tw

72 A one to one function is giv h x x 6

PS P4 P3 P2 Pl Q4 Q2 QI Price Q3 Q1 0203 04 05 Curve D Curve A Use the figure above If the monopoly firm wants to maximize its profit it should operate at a level of output equal to Curve C Curve B Quantity

Evaluate the following formula for x 97 54 X 97 45 H H 0 0 0 84 0 0 72 n 17 and n 58 Z Z x H1 H 0 n 0 2 n 2 Round to two decimal places as needed

Evaluate the formula n z p 1 p E when z 2 488 p 0 36 and E 0 02 n Round up to the nearest whole number as needed

Evaluate the formula n 2 when z 2 255 and E 0 04 n Round up to the nearest whole number as pooded