Complex numbers Questions and Answers

Question 33 2 points Saved Three of the equations below show the same relationship between Area of a triangle A the length of the base b and the length of the height h Which is the only equation that shows a different and incorrect relationship Of A b h 2A 6 k 04 04 A

Find the standard form of a quadratic equation that has the following roots 1 7 1 2 0 3 3 5

Quadratic Formula x bi b 4ac 1 What is 2 45 expressed in simplest radical form 1 3 5 2 5 5 3 6 5 4 18 5

13 At a kennel a rectangular dog run has a length is 4 feet more than twice the width Each run encloses 240 square feet Write an equation and solve that can be used to find the dimensions of the 4 points run

5 When 36 is subtracted from the square of a number the result is five times the num What is the positive solution 1 9 2 6 3 3 4 4

1 What is 2 45 expressed in simplest radical form 1 3 5 2 5 5 3 6 5 4 18 15

Solve the problem 15 Find the exact value of s in the figure 60 16 6 45 3 10 6 D

1 g x 4x 48x 7 Axis of Symmetry Vertex 3 y 2 x 5 1 2 j x 2x 21x 7 Axis of Symmetry Vertex 4 f x x 3 Axis of Symmetry

13 r x 2 x 3 5 6 4 2 Ay 2 2 4 X 14 f x 2x 8 4 2 4 20 c 10 o 10 y 201 2 4 x

For the equation a 20 a A Is a 4 a solution O No O Yes B Is a 5 a solution O No Yes

Solve and Check 3x 8 2 x Enter any solution as an integer or reduced fraction Separate with commas if there is more than one solution If there are no solutions click the No Solution button O No solution

29 What would the solution of the system graphed below be 10 8 6 10 8 6 4 2 2 2 6 8 10 2 4 6 8 I

e circle with the following properties of a diameter are 12 2 and Endpoints 12 2

Point M is the midpoint of segment AB If AM 50 3x and MB 20 4x find the value of x

3 which equation is equivalent to e 8 A In 8 X B Logx 8 e C Log x 8 D Logs e x

Graph the function n x 1 log 5x Part 0 2 Part 1 of 2 Enter the equation in the equation editor Y

x x 1 1 x Find the critical points O Find the inflection points Find the local minimum O Find the local maximum O Graphf x Please sketch your graph big enough to display the behavior of your curve Plus include

Find the function value Round to four decimal places sin 51 sin 51 s Round to four decimal places as needed

Biologists stocked a lake with 800 fish and estimated the carrying capacity the maximal population for the fish of that species in that lake to be 8800 The number of fish grew to 990 in the first year a Find an equation for the number of fish P t after t years P t b How long will it take for the population to increase to 4400 half of the carrying capacity It will take years You may enter the exact value or round to 2 decimal places

Question 13 10 8 2 16 kw 14 12 10 8 6 4 2 2 4 6 8 10 12 14 16 Find an equation for the graph above 2 4 8 10 W

The percent of paper and paperboard recycled from municipal solid waste in a certain town has grown exponentially as shown in the table to the right Use a graphing calculator to fit the data to an exponential function Use the function to find Rix in 2007 CIXE Type the values of a and b from your calculator for the exponential function yab Round to six decimal places as needed What percent of paper will be recycled in 2007 0 Round to the nearest integer as needed Year x 1980 0 1990 10 1994 14 1995 15 1990 16 1997 17 1998 18 1999 19 2000 20 Percent of paper recycled R x 20 8 26 1 34 2 38 3 39 5 39 2 40 6 39 3 44 4

Complete the following problems 2 American Mid Cap Mutual Fund has a net asset value of 20 00 and is front loaded at 4 Tomas Diaz invested 3 400 a What is the loading charge b How many shares did Tomas purchase

d f x f x if x 3 3x 2 if x 3 22 x 5 if 3 if 3 x 4 x 1 if x 4

olve the system of equations do not use Gaussian elimination In x 4 ln y log3x 2 2 logy

20 8 Suppose sin 29 17 0 is in Quadrant II and is in Quadrant II Find the following sin 0 6 sin o Moreover suppose

ind all general solution of the homogenous syster 2x15x2 3x3 0 x1 6x29x3 0 2x1 3x2 5x3 0

13 Cynthia has a piece of wood that is 6 feet long She cuts it into foot pieces How many pieces does she have Use the number line to help you solve the problem 0 1 2 3 4

mong all your Facebook friends 15 are people you have actually met 38 are people you know but have never actually met and the rest are people you do not know at all 2 of the friends you have met have posted on your Timeline 34 of the friends know but have never met have posted on your Timeline and 5 of the friends you do not now at all have still posted on your Timeline Fill in the missing probabilities as set up in the formula above to obtain the probability that someone who posts on your Timeline s someone you do not know at all 4 decimal places 7 0 Check Clear Help

The unit circle below shows 30 and 30 Find the values below rounded to three decimal places if necessary 30 30 0 866 0 500 0 866 0 500 cos 30 cos 30 cos 30

Graph the following piecewise function and state whether the function is continuous or discontinuous x 2x 3 if x 2 if x 2 f x x 4

0 X y 2 12 1 0 4 0 3 12 1 2 4 0

Find the x and y intercepts of the following and graph 5x 4y 20

In a triangle one side is three times as large as the smallest side and the third side is 40 feet more than the smallest side The perimeter of the triangle is 184 feet Find the measurements of all three sides

ondense the logarithm 2 log a 3 log b log e

Question 6 3 4 points Which method of data collection would you use to gather data for a study to determine the effect of forest fires on wildlife habitats Perform an Experiment Observational study Take a Census Question 7 34 points

Use the indicated entry as the pivot and perform the pivoting X2 5 2 1 0 0 1 0 0 1 2 4 2 2 7 X3 4 1 6 Simplify your answers Z 0 0 1 Complete the following simplex tableau to show the result of the pivoting Z 70 58 0

Draw the angle 135 deg then determine the reference angle in degrees

Open upward or dowoward b identify the axis of symmetry Mentify the vertex d Is the vertes a maximum or a minimum point e Identify the maximum or minimum value

In the circle below suppose m FEH 144 and m EFG 43 Find the following E H G F a m FEH b m ZEHG 0

Why do you think the following expressions can be described as perfect squares x 6x 9 x 16x 64 X x 1 1 3x 36

Find the cube roots of the complex number z 64 cis Select all correct answers Select all that apply U 4 cis Sa 18 4 cis S U 4 cis 29 18 4 cis 4 cis 17x 18 4 cis 17a 9

and Write each answer in polar form and in exponential form W 3e 11x 18 5x iz 4e oduct zw in polar form is 12e and in exponential form is fy your answer Type an exact answer using x as needed Use intege numbers in the expression

17 Mrs Sims cut a melon into fifths She gave 1 piece to each of her four children She used equal amounts of the leftover melon to make three fruit cups What fraction of the original melon did she use to make each fruit cup A O T5 18 Steven has of a package of biscuit mix left He will use equal parts of the leftover mix to make three batches of biscuits What fraction of the original package will he use for each batch B 19 16 1 2 2 3

How many degrees is 37 5 radians

12 Construct angle B congruent to angle A 13 Construct a triangle with the three given line segments 8 A LL F

sider the following Point Line 2 2 1 2 8x 4y 21 a Write the slope intercept form of the equation of the line through the given point and parallel to the given line y b Write the slope intercept form of the equation of the line through the given point and perpendicular to the given line y

Clever Portal de 8 Online Florida s B E S T Practice Test Which point is closest to point A ST A V 6 B C D Ay B 2 20 N Choose Poit 2 4 D O

There are 14 members of the scholastic bowl team 8 of whom are boys and 6 of whom are girls The coach wants to play 3 boys and 1 girl in the next round How many different teams of 3 boys and 1 girl could be formed to play the next round

Each centimeter on a map represents 6 kilometers of real world distance Graph this relationship as a line on the coordinate plane where x represents the map distance in centimeter and y represents the real world distance in kilometers Which of the following points lie on the line described above Select all that apply 0 5 1 1 6 0 1 5 9 2 12 2 5 13

For the given functions f x x 2 and g x 18 X 3 find a fog 3 b gof 5 c fo f 6 d gog 4 a fog 3 Type an integer or an improper fraction b gof 5 Type an integer or an improper fraction c f of 6 Type an integer or an improper fraction d gog 4 Type an integer or an improper fraction