Vectors Questions and Answers

The measure of angle x is 39 The measure of angle y is

State two other ways to name Zn Two other ways to name Zn are Use a comma to separate answers as needed B y n S

Suppose a student picks 3 points at random from Q R S T and W shown below Find the probability that these randomly chosen points are noncollinear Q RS I W The probability that 3 randomly selected points from Q R S T and W are noncollinear is Type an integer or a simplified fraction

Havel and Petra are married and will file a joint tax return Havel has W 2 income of 38 588 and Petra has W 2 income of 46 227 Use the appropriate Tax Tables and Tax Rate Schedules Required a What is their tax liability using the Tax Tables b What is their tax liability using the Tax Rate Schedule Note Round your intermediate computations and final answer to 2 decimal places a Tax liability using Tax Tables b Tax liability using Tax Rate Schedule

Which of the following is NOT a way to name the line OA JI OB JK O C KI OD IJ OE KJ OF O G K IK

In circle C with m BED 49 find the m BCD D B C E

2 marks 2 marks 1 In each diagram is QR parallel to ST Explain how you know a b Q S Answer S 1329 48 83 96 R T R T

Probability of choosing a number less than 7

Probability of choosing a number not less than 7

1 nect MATH Hosted by ALEKS Corp 2 3 4 MA Colle 8 4 5

1 21 2 3 4 18 of 25 1 point Attemp 2 2 St

3 5i 10j and s 7 2 answer in terms of i an V

Find the total surface area of the partial right cylinder The formula for the total surface area of the partial cylinder is OA 360 0 360 OB 360 0 360 2x 2xrL 4rL x xrL 2rl OC 360 0 360 2x 2xrl 2rl OD 360 0 360 x x 41L r 4tb L 2 in 0 93 in decimal places with units

9 Write the equation of a circle with center at 4 0 and radius 3

The union of set A 1 2 5 and set B 1 2 6 is which of the following sets O 1 2 6 1 O 1 2 5 6 O 1 2 1 2 O 1 5 6 3

The magnitudes and directions of two forces acting at a point P are given in a and b Approximate the magnitude and direction of the resultant vector Round your answers to the nearest whole numb a 80 lb N75 W b 50 lb S5 E magnitude direction S Xlb X W

Gordon is a physical therapist who specializes in pediatric leg injuries His patients differ in age and type of injury 0 12 years old 13 19 years old Knee pain Ankle pain 3 3 4 5 What is the probability that a randomly selected patient is 13 19 years old or suffers from knee pain Simplify any fractions

The probability that a number cube lands on 3 is The probability that a coin lands on heads is 6 What is the probability that the number cube lands on 3 and the coin lands on heads B 12

5 6 7 D Play Station B 8 00 Xbox 16 Nintendo 9 10 11 H 2 12 13 14 15 16 17 18 19 20 REQUIRED 1 A Video Game store Game Go is conducting a survey and asking each customer which current video game systems they own A customer named Justin said he only owns the latest Play Station and the latest Nintendo consoles In which region or regions would this place Justin in the VENN diagram 21 22 23

Problem 2 50 points A population of 1 000 semiconductor wafers contains wafers made by three machines A B and C In the population 430 wafers are from machine A and 220 are from machine B A wafer will either meet or not meet a thickness specification For machine A 90 of its products confirm the thickness specification For machine B 15 of its products do not confirm the thickness specification For machine C 94 of its products confirm the thickness specification A wafer is chosen at random from the population A If the wafer is from machine A what is the probability that it is conforming B If the wafer is conforming what is the probability that it is from machine A C If the wafer is conforming what is the probability that it is not from machine C D If the wafer is not from machine C what is the probability that it is conforming

ts Il Mode Live Online Class 362 omework 91 voters are asked to rank four brands of cereal A B C 45 25 12 Number of Votes First Choice Second Choice Third Choice Fourth Choice DABO A B C C D 2BCAD ooom 9 C D A B

udent SRI College Career Fo VING In order to unload clay hat is 14 feet long has been

Dakota is packing a lunch to bring to school There are 4 types of sandwiches to choose from and 7 types of fruit For the drink Dakota has 2 options How many different lunches can Dakota pack

Toby is buying a new pair of skates There are 3 styles of skate to choose from and 2 different color schemes For the design on the side of the skate Toby has 2 options Lastly there are 5 different colored laces to choose from How many different skates can Toby buy

At an ice cream shop 2 of the last 16 cones sold had chocolate ice cream What is the experimental probability that the next cone sold will have chocolate ice cream Simplify your answer and write it as a fraction or whole number P chocolate

You flip a coin endror What is P heads Write your answer as a fraction or whole numb

Find the eigenvalues and eigenvectors of A geometrically over the real numbers R If an eigenvalue does not exist enter DNE If an eigenvector does not exist enter DNE in any single blank 2 11 2 8 00 A projection onto the x axis has eigenspace span has eigenspace span smaller value larger value

n Z QUESTION 14 Determine whether the tests for sy The polar axis Replace r e by The line A

QUESTION 18 Write a polar equation that represents the giv do

Remaining Time 1 hour 14 minutes 41 seconds Question Completion Status Solve the right triangles for the unknown sides and angl if necessary 9 ch a B 24 c 18 O A 66 a 16 4 b 73 B

MY NOTES ASK YOUR TEACHER Find u v u v and 2u 4v Then sketch each resultant vector u 3 1 v 2 6 a u v u v i 5j 5 u PRACTICE ANOTHER u v 5 D S X 5 u v u v 5

a Plot the polar equations r 4 and r 6 404 40 Clear All Draw D 5 8 10 b Enter two points on Quadrant I or II and in the region 4 r 6 x y x y

1 4 1 Graph and label on the grid the vectors 17 0 217 and it 0 E CE 2 Determine each of the following Give answers correct to three decimal places Component form of 2u 3v Component form of v Magnitude of u Direction angle of u 4 Angle between i and v Magnitude of 7 Direction angle of v

Show from the definition that the functions x Rez and y Im are not complex differentiable at any point

Find all zeros and periods of cosh z and sinh z

How many ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen 100 120 O O O O 240 720

Evaluate the expression 4 3 0000 O 12 30 144

0 purple function 1 y sec x 11 CSc r 2

Sketch the following polar rectangle RE R 0 0 1 r 3 G M x 4 50 2x 3 COMMO 53

2 Draw a 20 angle What is one negative angle that is coterminal with this angle in radians

11 At Heard High School the probabil What is the probability that a stud A 14

Determine which of the following is a parameterization of the line segment with end points A 2 3 and 1 2 Select one Oax 2 26 y 3 10r for 0 0 5 Obx 1 y 2 5r for 0 ISI ey 7 6x Od 2 6y 3 5

u 3 5 and v 2 1 Determine whether U and V are parallel orthogonal or neither Hect one Da orthogonal O b parallel Oc neither

What does inverse operations mean Opposite operations Negative Operations

Alasua is ark in the united Ste 53 321 Square kild the park s area in So educ FAIRY FAVD9 0 0 20

Write a sine function that has an amplitude of 3 a midline of y 4 and a period of 1 4

The height of a cylinder is 9 5 centimeters The diameter of this cylinder is 1 5 centimeters longer than the height Which is closest to the volu the cylinder 1150 cm 165 cm 3 287 cm 3 105 cm

2 10 Determine the resultant of the forces shown in Figure P2 10 using a vector triangle cosine law and sine law 120 N 40 82 FIGURE D2 10 250 N

Suppose we have the triangle with vertices P 1 3 1 Q 4 6 2 and R 6 1 0 Answer the following questions 1 Find a non zero vector orthogonal to the plane through the points P Q and R Answer 2 Find the area of the triangle A PQR

Graph the function y ln 28 2x by identifying the domain and any symmetries finding the derivatives y and y finding the critical points and identifying the function s behavior at each one finding where the curve is increasing and where it is decreasing finding the points of inflection determining the concavity of the curve identifying any asymptotes and plotting any key points such as intercepts critical points and inflection points Then find coordinates of absolute extreme points if any