Complex numbers Questions and Answers

Find the exact value of each expression if 0 90 If cot 1 2 find sin 8 O 215 O 5 02 5 5 45 Jhy

CAMP The enrollment for a biannual computer camp over the past 15 years is shown Number of Participants 45 68 55 25 48 36 61 52 31 8 41 58 40 55 68 47 60 28 44 63 18 68 50 57 37 16 56 40 50 68 Use a graphing calculator to create a box and whisker plot and describe the shape of the distribution Then describe the center and spread of the data using either the mean and standard deviation or the five number summary Justify your choice O Positively skewed the distribution is skewed so use the five number summary The range participants The median is 49 and half of the camps had between 37 and 48 participants 8 to 68 Negatively skewed the distribution is skewed so use the five number summary The range is 8 to 68 participants The median is 49 and half of the camps had between 37 and 48 participants Symmetric the distribution is symmetric so use the mean and standard deviation Then mean is 49 and the standard deviation is 16 O Symmetric the distribution is symmetric so use the mean and standard deviation Then mean is 46 4 and the standard deviation is 16

20 Which value could be placed under the radical symbol to make the statement true 3 5 7 A 35 B 245 C 875 D 1 715

Write in simplest radical form 864 A 3332 B 2 108 C 634 D 1236

16 Write in simplest radical form 2 32 A 4 8 B 8 2 C 16 D 4 2

O Symmetric the distribution is symmetric so use the mean and standard deviation The mean is 34 5 and the standard deviation is 23 3 Question 2 1 pts Determine whether each survey question is biased or unbiased If biased explain your reasoning Do you agree or disagree with the following statement Teachers should not be required to not supervise students during lunch Biased the question is confusing because it introduces a double negative Unbiased the question is clearly stated and does not encourage a certain response

1 Find the domain and the range of the given function and identify and graph some of its level curves or level surfaces a f x y 1 xy b g x y

Question 1 18 points Simple Interest Find the simple interest earned if you invest 545 in a savings account that earns 3 25 for two years O 34 67 O 35 43 36 00 O 354 35 Question 2 18 points The equation for compound interest is A P 1 7 where Pis the initial amount invested r is the interest rate as a decimal nis the number of times compounded annually and f

11 Simplify A 8 3 B T 2 12 x 4 x C 8x 4 3 D 14

2 Simplify A B 8m 72 8n 2m n mn c 7 20 D 1 8m

Determine whether each situation calls for a survey an experiment or an observational study Explain your reasoning You want to compare the health of students who walk to school to the health of students who ride the bus O Survey students will complete a questionnaire about their health status O Experiment students will be divided into an experimental group and a control group O Observational study the health of students who walk to school and who ride the bus will be observed and compared without them being affected by the study Question 6

Question 2 18 points The equation for compound interest is A P 1 7 where Pis the initial amount invested r is the interest rate as a decimal nis the number of times compounded annually and t is the number of years Determine the value of the account if the initial investment is 8 000 compounded annually at a rate of 4 after 5 years O 9 761 52 O 9 733 22 O 8 320 8 004

sed the question is clearly stated and does not encourage a certain response Question 7 Determine whether each survey question is biased or unbiased If biased explain your reasoning Most teenagers text message during class Are you one of them Biased the question encourages students respond yes O Unbiased the question is clearly stated and does not encourage a certain response Question 8 1 Determine whether each survey question is biased or unbiased If biased explain your reasoning

Find each product Write your answer as a proper fraction o b c d 3 2 210 3 e 4 1 3

Round each decimal to th a 1 6852 nearest tenth nearest hundred nearest thousan ALY 11 2004

9 A parachutist glides to the ground at 16 ft 1 sec Need Help DETAILS 1 min Read It sec LARMPMT1 6 1 0 Use a fraction to fill in each blank V

13 DETAILS Find the two ratios that are equal Select all 3 4 0 21 28 20 16 LARMPMT1 6 4 017 15 21 Use them to write a proportion

Decide whether the two fractions are equivalent by wri 42 59 a and 70 81 Yes these are equivalent fractions O No these are not equivalent fractions 76 and 28 Yes these are equivalent fractions O No these are not equivalent fractions b 38 14 c 63 and 100 OYes these are equivalent fractions No these are not equivalent fractions d 339 501 81 243 and 45 135 equivalent fractions

Question 1 14 3 points Arithmetic Series Find the sum of the first 18 terms for the arithmetic series S18 5 8 11 14 17 53 56 522 O 549 O 1044 O 1098 Question 2 14 3 points Arithmetic Sequence What is the common difference of the sequence shown below

2 i z 2iz2 4 5i and 3z 1 i z2 14 13i Find z Z2 writing your answer without spaces e g 13 5i

Simplify 3x2y A 3x5y5 B 9x5y5 C 9x6y6 D 27x6y6

Simplify x xy A x y7 B x 2 C x5y7 D x5 2

76590 depse R Borbe to and has 18 029 Liab Carrying Value of Bond Equity Rev KELD Exp NI Cash Flow Cash Flow

2x 1 and x 2 are factors of 2x 3 px 2 q What is the value of 2p q

Which shows the graph of the function x 2m x 2 1 O 197 ey 27 2 de 44 69 to in N 4 2345 6 HA

H 1 i a 9 12 Condense and Simplify the expression log 640 log165 log162 log1637 log1633

Jackson can remove the shingles off of a house in 7 hours while Martin can remove the shingles in 5 hours How long will it take them to remove the shingles if they work together Provide your answer below

Question 6 You want to purchase a new rug for your bedroom You find the perfect one but need to know if it will fit in your room What is the area of the rug if its dimensions are 2x 4 by 5x 2 10x 2 24x 8 10x 2 9x 8 10x 2 24x 8 1 pts 10x 2 9x 6

The quadratic function A ur represents the aree A in square inches of the of which function gives the area as a function of the width for a given valle

Solve the logarithmic equation log3 5x 4 2 Ox 3 Ox 0 Ox 1 O No Solution

X 81 Question 2 25 points Saved Find the approximate value of x that makes the following statement true In x 6 O x 6e O e X x 6 Ox X

8t 99 1 The function P t 2t 3 gives the bo dosage of a new medicine Philbetterol aft a Solve for the vertical asymptote s if a

Expand the logarithm 10g3 O O O O 4log a 2log3 b 4log3 a 210g b log3 4a log3 26 log3 4a log32 b

Which of the following is equivalent to 4 ln x 3n x In y 13 On In O In 4x 3x y In x x y O In 10 X

x Determine if the function crosses the horizontal asymptote and if so the location f x 4 x x 12

Write the equation for the oblique asymptote f x 4x 3x 3x 2 x 1

To find the y intercepts Ex Find the y intercept evaluate the function when x f x 8x 10x 3 4x2 12x 9

ynomial Division Factor Question 11 3 3 43 Solve the equation x 2x 5x 6 0 given that 2 is a zero of f x x 2x 5x 6 The solution set is Use a comma to separate answers as needed

nomial Division Factor Divide using long division State the quotient q x and the remainder r x 12x 15x 5x 3x 2 2 2 2 2 0 Question 4 3 3 15 3x 3x 12x 15x 5x 3x 2 Simplify your answers Do not factor Use integers or fractions for any numbers in the expressions

In the following two problems the result will initially be in pseudo scientific notation Find that answer then convert it to proper scientific notation Question 15 What is 4 x 105 5 x 106 In this case your answer will be in pseudo scientific notation and must be converted into scientific notation 4 105 5 106 In pseudo scientific notation In scientific notation Question Help Message instructor 0 4 pts 399 Details Submit Question

Begin by graphing the square root function f x x Ther h x x 6

Use the given conditions to write an equati Passing through 5 5 and perpendicular

Smitley and Davis studied the changes in gypsy moth egg mass density over one generation as a function of the initial egg mass density in a control plot and two treated plots The data below are for the control plot Initial Egg Mass per 0 04 ha 50 75 100 160 175 180 200 Change in Egg Mass Density 250 100 25 25 50 50 0 A On the basis of the data given in the table find the best fitting logarithmic function using least squares State the square of the correlation coefficient Note that the authors used logarithms to the base 10 Use 4 decimal places in your answers y x 2 B Use this model to estimate the change in egg mass density with an initial egg mass of 120 per 0 04 ha Use 4 decimal places in your answer With an initial egg mass of 120 per 0 04ha the change in mass density is

33 Let the graph of g be a reflection in the x axis of the graph of f x x 5 In Exercises 33 36 write a rule for g described by the transformations of the graph of f 7 But i m going 35 Let g be a vertical stretch by a factor of 2 followed by a translation 2 units up of the graph of f x x 3 Monola 37 Ay 8 when the function is ing when a a 0 and b a 0 4 6 f x x 2 In Exercises 37 44 describe the transformation from the graph off to the graph 20 g x f x h 2 Y 12 it might 4 6 ByVx 8 x y x 12 34 Let the graph of g be a tra graph of f x x 7 36 Let g be a horizontal by a translation 4 um 38 41 2 g x f x

2 4 Simplify the expression 16 161 2 Simplify the expression 93 1 2 2 3 10 Graph the following cubic function f x x 4 Graph the following cubic function f x x 2 3 10 8 6 101 8 A E

1 Look at the rules below a y x 7 b y 7x which rules will contain the origin when graphed A a and b only Bb and c only c y 5x C None of these D All of these d y x

5 Use the Rational Zero Theorem to list all possible zeros 2x x 7x 6 0 6 Find all the zeros for 2pts

list 15 n 16 on 17 on 18 What transform Select all that a A Horizon B Reflect C Horizo D Reflect E Vertica F Vertica

5 Calculate a Tan 0 725 b Tan 0 32 6 Calculate ZE to the nearest degree a Tan E 0 625 7 Calculate LE 3 c Tan 7 3 b Tan E 0 812 c Tan E 5 5 d Tan 12 7 d Tan E 11

Prof Rackbrane asked me to pa square where the sum of the fi is a perfect gube To clarify ho