Complex numbers Questions and Answers

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02 4 6 6 10 Cars in Lot point lichael works at a grocery store The graph shows th Su

O Mean O Median O Mode Range Question 4 25 points Which center would best represent the data based on the data points alone O mean O median O mode 500 1000

A plane flew 480 mi in 2 hr with the wind It would take 3 hr to travel the same distance against the wind What is the speed of the plane in still air and the speed of the wind The plane travels mph in still air and the wind speed is mph

Question 3 25 points Justin and TJ are servers at a local restaurant The table below shows the tips they earned Tips T J Monday 58 Tuesday 48 Wednesday 40 Thursday 42 Friday 42 O Which student has a higher median tip for the week and by how much O O O Justin 32 45 50 33 50 Justin s median tip is 4 more than TJ s median tip TJ s median tip is 4 more than Justin s median tip Justin s median tip is 3 more than TJ s median tip TJ s median tip is 3 more than Justin s median tip The sc Question 4 25 points of the to ton finishers in acont

The position of a projectile fired with an initial velocity vo feet per second and at an angle 0 to the horizontal at the end of t seconds is given by the parametric equations x t vo cos 0 t y t vo sin 0 t 161 See the illustration Complete parts a to d a Obtain a rectangular equation of the trajectory and identify the curve R

Part 0 2 2 Part 1 of 2 5 Jody invested 4500 less in an account paying 5 simple interest than she did in an account paying 3 simple interest At the end of the first year the t interest from both accounts was 727 Find the amount invested in each account 6 The amount Jody invested in the 5 account is X

Question 1 25 points A student just got her progress report Based solely on data points which measure of central tendency should be used based on the following grades 72 90 75 75 58 75 64 75 75 75 O Mean O Median O Mode O Range Question 2 25 points What is the median of the following data set shown in the dot plot H 0 5

1 point Which unit rate is best represented by the line shown in the grap

Question 2 25 points What is the median of the following data set shown in the dot plot 07 6 8 5 0 9 5 09 H Wednesday Thursday 0 Question 3 25 points Justin and TJ are servers at a local restaurant The table below shows the tips they earned Tips T J Monday 58 Tuesday 48 40 42 5 Justin 32 45 50 33

Suppose that is invested at a rate of anuatiu ammant compouned 3 find final after 7 years

lassLink Mans X Login X Q8th Grade US His X Cla d instructure com courses 99722 external tools retrieve display full width ur 1 point Two students found the slope of the line shown Daryl used point A and p

An equation is given Enter your answers as a comma separated list Let be any integer Round terms to three decimal places where appropriate If there is not to SOLUTION con 1 a Find all solutions of the equation 0 1 0 b Find the solutions in the interval 0 2

Which of the following shows the equation log4 x 6 2 rewritten using logarithms O log4 x 6 22 O log 4 x 6 4 44 O log4 x 6 log 16 O log4 x 6 log216

Question 3 14 3 points Which type of sampling method is being employed in the following example The principal of Phoenix High School is conducting an in depth study of the graduates since she has been there First she creates a list of every student that has graduated since she has been principal and assigns each graduate a number 1 to 1241 She then has a computer randomly select 40 numbers between 1 and 1241 to determine which students she will include in her sample O Simple Random Sampling O Stratified Sampling Cluster Sampling O Sampling of Convenience O Systematic Sampling

Find the local extrema of the function f x 3 cos 2x sin 2x on the interval 0 x and say where they occur Graph the function and its derivative together Comment on the behavior of f in relation to the signs and values of

The graph of a function f is shown Use the graph to find f 0 S 10 10

5 0 25 35 6 Find an invertible matrix S and a diagonal matrix D such that S AS D A S 188

n P let p z g x p 1 q 1 p 0 q 0 p 1 q 1 Let U span 2 2 1 Find the polynomial in U that is closest to f x 2 2 16z 8

The following graph shows at least one complete cycle of the graph of an equation containing a trigonometric function Find an equation to match the graph If you are usin a graphing calculator graph your equation to verify that it is correct y 5 sin 2x x 6 A 2 10 11 KIN R

6 2 67 2 0 2 3 Find S and D such that A SDS Let A 0 3 S 0 D 0 0 0 0 0 0

a Find the vertex and axis of symmetry of the quadratic function b Determine whether the graph is concave up or concave down c Graph the quadratic function f x x 1 4 a The vertex is Tyne an ordered pair

What is the solution to the radical equation 10 10 x 7 6 08 07 6

Use the Leading Coefficient Test to de f x 7x 8x x 5

K Use the Leading Coefficien f x 4x5 7x 3x 5 Choose the correct answer

f x 4x I 6X OA Falls left falls right OB Rises left falls right OC Rises left rises right OD Falls left rises right OE None of the above

t K Is the graph on the right polynomial function

Determine if the following function x 2 x6 f x

Determine whether the function is h x 8x 4x 3 X

Determine if the following functi f x x2 3 2 2x 6

5 points The function f x 7x arctan x8 is represented as a power series f x x n 0 What is the lowest term with a nonzero coefficient n Find the radius of convergence R of the series R

The expression 32x 18 can be factored completely as 2 16x 9 True False

Convert to a logarithmic equation

Write the following equation in its equivalent exponentia 4 log 581 The exponential form equivalent to 4 log 81 is Type an equation

Write the following equation in its eq 64 4 The logarithmic form is

Let y 2z 3z 3 If dz Az 0 1 at z 4 use linear approximation or differentials to estimate Ay Ay

D Nationa Park National park Southern Ald National park It s grea is s

Suppose that 1000 is invested at 8 compounded daily How much is in the account at the end of 3 years

You invest 1000 in an investment account which yields 6 interest compounded monthly How much interest do you get after 2 years

Find h x y g f x y g t t f x y 7x 5y 35 h x y Find the set on which h is continuous OD x y y x 7 5 Oh is continuous on IR2 OD x y yz 3x 7 OD x y x y 0 0 OD x y 1 x y

Express in terms of sums and differences of logarithms In 4 3 3x y In 2 3 11

The table below gives the annual sales in millions of a product 2005 2006 year 1998 1999 2000 2001 2002 2003 2004 sales 216 252 280 300 312 316 312 300 280 What was the average rate of change of annual sales a Between 1998 and 1999 b Between 1998 and 2002 millions of dollars year

Convert to a logarithmic equation pd 34 The equation is Use integers or fractions for any numbers in the equation

Factor completely If a polynomial is prime state th 6x 14x 12x Select the correct choice below and if necessary fill answer box within your choice OA 6x 14x 12x OB The polynomial is prime

Graph the equation on paper then choose the correct graph y log 6x Choose the correct graph O A O C OB 4 O D

Use a calculator to approximate the exponential expression to 4 decimal places 8 8 e

Find an equation of the inverse relation for the following relation y 6x 3

Exercise 1 78 Let q be a given positive number Determine all values of p E R for which the series converges n 1 1 1 np sin NY

Find a subset of the vectors that forms a basis for the space spanned by the vectors then express each vector that is not in the basis as linear combination of the basis vectors V 1 0 1 1 v 5 5 3 1 V3 1 5 3 5 V4 11 5 9 7 V2 V3 V4 form the basis V 5V 2V3 3V4 V V2 V3 form the basis V4 6V V 3V3 V V form the basis V3 6V V V4 6V V V V3 V4 form the basis V 1V V3 7V4 V V V4 form the basis V3 6V V 2V4

Approximate the function at the given value of x using the Taylor polynomial of degree n 4 centered at c 3 Round your answer to four decimal pla f x In x In 3 In 3 x 3 x 3 x 3 1 18 81 3 1 P4 1 324 x 3 4