Complex numbers Questions and Answers

Find the slope intercept form for the line parallel to 5x 7y 35 and passing through the point 7 10 The line parallel to 5x 7y 35 and passing through the point 7 10 is given in slope intercept form as

Which equation shows 42 2 t 3 solved for t O 48 2 t 3 4m 2 01 4 2 O 3 O t 2m 3 t 2n 3

Which equation shows E mg h solved for g 08 1 h g O g 08 E m h g E m h

Pivot the matrix about the circled element 81 0 5 4 0 2 14 8

An object is in static equilibrium under the action of the three forces F N T Pick the equation that describes the situation OF 2 N T OF N T 0 OFxNxT 0 OF N T None of the above

A motorboat travels 174 miles in 6 hours going upstream It travels 330 miles going downstream in the same amount of time What is the rate of the boat in still water and what is the rate of the current Rate of the boat in still water Rate of the current 10 mi h mi 0 X G

0 Using the coordinate plane write the ordered pairs for the points B Question 1 of 10 v point A C D YA O F E A X

The functions and g are defined as follows 5x 2 4x 3 and g x x 5x f x Find 2 f and g x 3 Write your answers without parentheses and simplify them as much as possible 1 0 g x 3 0 X 0 0 0

1 2x 6x 4 0 3 0 3a 4a 6 2 2a 5a 6 4 4 2n n 7 n 31

2 Use quaternion to determine the image of the point 1 1 1 under the rotation by an angle 30 about an axis in the yz plane that is inclined at an angle of 60 to the positive y axis

Brian is choosing between two exercise routines In Routine 1 he burns 24 calories walking He then runs at a rate that burns 15 5 calories per minute In Routine 2 he burns 47 calories walking He then runs at a rate that burns 10 9 calories per minute For what amounts of time spent running will Routine 1 burn at most as many calories as Routine 2 Use for the number of minutes spent running and solve your inequality for t 8 O 020 X 0 0 OSO 5

Here is a figure made of two rectangles 58 ft 42 ft 43 ft 117 ft

area and perimeter of quadrilateral with side length 8

The sets F and G are given below F 0 5 6 8 G 2 1 0 6 7 8 Find the union of F and G Find the intersection of F and G Write your answers using set notation in roster form FUG

3 Compute using Beta integral 2x 1 x dx 0

Brad Pitt earns 1 000 every 4 minutes and 48 seconds He is in a new film and today s taping runs for 4 hours and 50 minutes Write an equation and solve it to find the amount of money Brad earned today

Find the coordinates of the orthocenter of the triangle with the given vertices P 1 2 Q 5 2 R 2 1

Writing the equation of a line through two give Find an equation for the line below Ja

Try Again Your answer is incorrect Find an equation for the line that passes through the points 5 1 and 1 1 72 1 32 O X S

OSYSTEMS OF EQUATIONS AND MATRICES Solving a percent mixture problem using a Espa ol A scientist mixes water containing no salt with a solution that contains 55 salt She wants to obtain 165 ounces of a mixture that is 5 salt How many ounces of water and how many ounces of the 55 salt solution should she use Water Salt solution Doun ounces ounces X 3 5 5 EO G

Solving a distance rate time problem using a Espa o A plane has a cruising speed of 250 miles per hour when there is no wind At this speed the plane flew 300 miles wit the wind in the same amount of time it flew 200 miles against the wind Find the speed of the wind Speed of the wind miles hour 00 X 5 D

using a Espa ol Two factory plants are making TV panels Yesterday Plant A produced 2000 fewer panels than Plant B did Four percent of the panels from Plant A and 2 of the panels from Plant B were defective How many panels did Plant B produce if the two plants together produced 460 defective panels Number of panels produced by Plant B X 5 9

Espa ol Two factory plants are making TV panels Yesterday Plant A produced 2000 fewer panels than Plant B did Four percent of the panels from Plant A and 2 of the panels from Plant B were defective How many panels did Plant B produce if the two plants together produced 460 defective panels Number of panels produced by Plant B X 5 of

Espa ol A phone company offers two monthly charge plans In Plan A there is no monthly fee but the customer pays 6 cents p minute of use In Plan B the customer pays a monthly fee of 8 60 and then an additional 4 cents per minute of use For what amounts of monthly phone use will Plan A cost at least as much as Plan B Use m for the number of minutes of phone use in a month and solve your inequality for m 0 D N D OSO 21

OSYS AS OF Solving a percent mixture problem using a ES A chef is going to use a mixture of two brands of Italian dressing The first brand contains 9 vinegar and the se brand contains 12 vinegar The chef wants to make 360 milliliters of a dressing that is 11 vinegar How much brand should she use First brand Second brand milliliters milliliters 075

Espa At the city museum child admission is 5 30 and adult admission is 9 70 On Friday 140 tickets were sold for a to sales of 1072 00 How many adult tickets were sold that day Number of adult tickets X

Solving a value mixture problem using a syste Advance ticket Same day ticket 1 5 Espa ol Suppose that there are two types of tickets to a show advance and same day The combined cost of one advance ticket and one same day ticket is 65 For one performance 40 advance tickets and 25 same day tickets were sold The total amount paid for the tickets was 2000 What was the price of each kind of ticket Brandon V of 10

Q1 4 points 3 x x 1 x4 Find the domain of f x Write your answer in interval notation

The table contains price supply data and rice demand data for corn Find a linear regression model for the price supply data where x is supply in illions of bushels and y is price in dollars Do the ame for the price demand data Find the equilibrium rice for corn Price Supply bu billion bu 2 14 2 24 2 37 2 48 2 47 2 56 6 37 7 43 7 55 7 85 8 13 8 28 Price bu 2 06 2 12 2 27 2 33 2 31 2 41 Demand billion bu 9 94 9 43 8 37 8 11 7 89 6 93 Find a linear regression model for the price supply data where x is supply in billions of bushels and y is price in dollars y Type an equation using x as the variable Round to two decimal places as needed

Find the exact value of the trig function 31 For tan 33 csc 8 S Sin 30 LOSB0 ref tan 30 Fan 150 T 13x ref 30 A Quad I SINDO COROAD 1 tane 40 C 32 sin 8 34 cot 8 4 500

The minute hand of a clock extends out to the edge of the clock s face which is a circle of radius 2 inches What area does the minute hand sweep out between 6 15 and 6 35 Round your answer to the nearest hundredth Answer Keypad Keyboard Shortcuts

Find the equation of the line that contains the point 8 9 and has a slope that is undefined Express the equation using either the general form or the slope intercept form of the equation of a line www

HINT EXTRINSIC EXTERNAL C 0 00 0 05 A Speed 1x The currency is given a value not based on the value of the material B The difference between the market price of an option

List the intercepts and test for symmetry y x 16 Select the correct choice below and fill in any answer boxes within your choic OA The intercept s is are Type an ordered pair Use a comma to separate answers as needed OB There are no intercepts

Fill in the blanks 1 The graph of y down 1 x 11 2 The graph of y e 19 19 x is obtained by shifting is obtained by reflecting the graph of y units to the up 3 The graph of y cos 5x 19 is obtained by shifting 19 units to the Click for List the graph of y e about the stretching horizontally stretching vertically compressing horizontally compressing vertically Z x 11 units to the axis and then shifting the graph of y cos x by a factor of 1 5 and the

ion for f x x2 1 7 fg 6 g x x 4

18 25 Find the length of the missing bas

Now there are 8 questions regarding a rectangle Remember Diagonals of a rectangle bisect each other Diagonals DO NOT bisect the corner malarinlan tha unakuala in ALIQUA 18 mZHGE it Type a response 19 mZHGF it What type of shape is What type of shape is

5 Multiply each expression by 4x In which expressions does the entire denominator cancel a b C d e x 5 X 9 4x 10 4 x 13x 4 x 5 12x

3 In each expression what cancels if anything 8 m 5 8 m 5 8 m 5 8 a b d m 5 m 5 m 5

Solve the following proportion for u 11 8 Round your answer to the nearest tenth U 0 X

2 Grace and Kaitlyn are trying to find three consecutive integers such that the square of the second number plus the product of the first and third is a minimum Help them find the numbers

Find f a f a h and the difference quotient f a h f a where h 0 h f x 5 f a f a h f a h f a h

Use the atomic weights to help you answer the question hydrogen H 1 carbon C 12 nitrogen N 14 oxygen O 16 sulfur S 32 potassium K 39 What is the mass of hydrogen in 720 grams of water H O Select one O a 680 g O b 40 g 18 g 80 g O c d

The team played 32 games this season The ratio of wins to losses was three to five Which ratio cannot be derived from the given information Select one O a losses total b losses total wins total wins losses O C O d 101 15 101000010000 10

g x x 6x h x x 1 Write g h x as an expression in terms of g h x

Use the like bases property to solve the equation 6 5 750 X

Find the logarithm 1 000 log 11

Write expression log answer completely log 10 T 14 210 as a sum or difference of logarithms with no exponents Simplify your

Consider the function P x x 8 x 4 The y intercept is the point The intercept s is are the point s As x y As y