Vectors Questions and Answers

Independent Events A student rolled 2 dice What is the probability that the first die landed on a number less than 3 and the second die landed on a number greater than 3 0 500 0 167 0 111 0 083

Complements What is the complement of event of spinning the spinner to land on an even number The spinner landing to 2 4 6 or 8 The spinner landing on 1 3 5 or 7 The spinner landing on 1 2 3 or 4 The spinner landing on 5 6 7 or 8 4 5 3 6 2 7 1 8

Consider the division of two polynomials f x x c The result of the synthetic division process is shown here Write the polynomials representing the a Dividend b Divisor c Quotient and d Remainder 1 4 1 2 5 18 21 4 8 12 24 2 3 3 6

Determine the components of the directed line segment AB 8 71 5 A 3 2 1 A 1 7 2 0 4 2 2 4 O 14 4 2 B 3 3 3 5 6 7 8

Which condition would prove ADEFAJKL A DE JK 1 3 B DF JL 1 3 CEF KL 3 1 21 D DF JL 3 1 D E zoom in K 7 L F

3 Given AVXY and AVWZ what is VW V W 36 X Y Z 27 5 44

2 What is the scale factor of th dilation shown A 1 1 2 IN NIM MIT MIN B 33 23 1 D 3 20 A4 12 7 5 B 7 5 C A zoom in 8 5 5 B 5

1 14 A shuttle bus arrives at minutes to take guests walks out the door at the probability of eac

1 Place an X in the table to show whether each equation is true or false x x a xa b xa b xy a xaya xa b xa xb True False

ABCD is an trapezoid Solve for x A 3x 5x 20 D O 10 O 20 O25 O 30 C B

5 The angles shown below are acute and sin a cos b If a 4k 22 and b 6k 13 what is the value k a 4 5 b 5 5 C 12 5 d 21 5 2770 KA SE 16 strandonon Note Figures not drawn to scale T

1 In a right triangle where A and C are acute angles which of the following below is true select a that apply a sin A cos C b sin C cos C c sin C sin A d sin C cos A y lo snie

An oblique cylinder has a radius of 5 units and a volume of 600T cubic units What is the height of the cylinder Show your work here

Suppose a point has polar coordinates 3 0 0 3F Find two additional polar representations of the point Write each coordinate in simplest form with the angle in 2n 2n 3 J with the angle measured in radians

ZA and ZB are complementary angles as shown in right triangle ABC Find the sine of ZA and the cosine of ZB Then describe how they are related 30 16 A sin A sin A cos B sin A cos B sin A cos B cos B 34 15 17 they are the same ratio 15 8 they are the same ratio 8 17 they are the same ratio 17 15 they are the same ratio O None of the other answers are correct

A fruit stand sells pints of blueberries for 3 each and pints of strawberries for 5 each If John spends at least 23 but no more than 27 on b pints of blueberries and 1 pint of strawberries what is one possible value of b

Glucose which is an important component of growth media for cultured cells is so energy rich that 1 milliliter can feed up to 9 Petri dishes of cells If a Petri dish has an area of approximately 7 sq square centimeters about how many square centimeters of cells could 115 milliliters of glucose feed A 140 B 1 000 C 6 500 D 7 500

Paul can run 144 meters in 72 seconds If he runs a this same rate which of the following is closest to t distance he can run in 16 minutes 200 meters 500 meters A B C 1 000 meters D 2 000 meters

A side of the triangle below has been extended to form an exterior angle of 163 Find the value of x X 163 115

Eddie asked each member of their class if they have their own car and also if they have a part time job He determined that 7 students had their own car and 13 did not have a car 6 of the students that had a car also had a part time job In the entire class there were a total of 10 people that had a part time job How many students didn t have a part time job and also didn t have a car Car 4 9 13 al No Car D Part Time Job

particular state the first character on a license plate is always a letter The last character is always a digit from 0 to 9 Let V represent the set of all license plates beginning with a vowel and O represent the set of all license plates that end with an odd number Which might be license plate that belongs to the set 0 Arbegla E52 TR8 Arbegla RG3 2A5

A teacher asked her students which of the following states FL AL TN they have lived in before and constructed the following VENN diagram with the data 6 9 9 15 0 19 Florida 3 0 0 Alabama How many students would be in the set Florida Alabama i e the complement of the union of Florida Alabama 6 Tennessee

Add Write your answer in simplest form 9 2 5 72

2 In the rectangle below what is the m2BCA STRETCH IT Find AC 10 10 D ON nadw

Find the volume of the solid 2 yd 4 yd 3 yd 6 yd 8 yd 10 yd 3 yd yd

E Use the slope intercept form to graph the equation y

of Answer Complete the table of joint re Favorite Ice Cream

Subtract Write your answer in simplest form 2 50 6 2

of Given the graph Find the following al b b

6 www ed out of V Choose the equation s which have the following resultar 9 17 9 19 1 Select one or more cy 4 a P 5 to T P 6

3 Determine how deep the anchor is in the ocean to the nearest tenth 18 9 19 5 47 27 5 30 m 390 d

Prove that for integers a b and c a If a b 1 and cla then c b 1 c If c is a positive common divisor of a and b then c a b 1

The square root parent function is translated so that the endpoint is located at 7 1 Write an equation that represents this new function

1 x 30 Note Figure not drawn to scale In the figure above if x 40 what is the value of y A 40 B 50 C 80 D 90

y equation the function graphed below Show Transcribed Text 7 6 5 4 3 2 1 1 2 I y 1 Show Transcribed Text 5 4 3 2 1 4 5 ase please do all of them i am nearly out of questions i will leave a high rating 2 3 4 5 V 7 6 5 4 3 2 1 1 6 7 Write an equation for a rational function with Vertical asymptotes at x 1 and x 6 x intercepts at x 1 and x 2 y intercept at 6 Q Write an equation for the function graphed below 14 13 UN 2 1 1 2 3 4 5 6 7

3 points Find a unit vector u such that the rate of change of the function T x y x y at the point 2 0 in the direction of u is 7 or explain why this is impossible

5 Assume A A A2 and A B 0 If A2 kB show that k A B

Find the length x to the nearest whole number X Do not round until the final 22 35 550

Find the directional derivative of f x y z yz 2 at the point 2 3 1 in the direction of a vector making an angle of with V 2 3 1

Find the vector projection of u onto v Then write u as the sum of two orthogonal vectors one of which is prou u 2 6 v 8 3 proj u Simplify your answer Type an integer or a fraction

What is the sum of all values of p that satisfy the equation 3p2 24p 6 0 A 6 2 B 8 C 8 D 6 2 E

The temperature at which water boils varies with altitude The formula above models the relationship between t the temperature at which water boils in degrees Fahrenheit and a the altitude in feet Which of the following equations expresses altitude in terms of the temperature at which water boils A a B a C a D a b 0 0018 to 212 to 212 0 0018 to 212 0 0018 212 th 0 0018 thipment 3220 COPAN 04 03

Mutually Exclusive and Inclusive Events What is the probability of 2 randomly drawing a RED Face Card OR a card with a BLACK NUMBER O O O 1 4 01 02 1 13 alia alia alla alla alla alla 7222 7 7 BORBE

Female Male Total 45 814 Snellville 13 10 20 30 Stone Mountain 12 14 26 Suwanee Total Consider the following table with information about a sample of students from Phoenix High School and where they live If a person is randomly selected determine the following probability provided the condition P Female Suwanee 8 16 24 30 50 80

Conditional Probability A teacher asked students in his class if they had any brothers or sisters The results are shown at the right What is the chance of randomly selecting someone from this group with a brother given that they have a sister P Brother Sister OOOC S 12 59 14 Brothers 9 5 Sisters 12 8

a Find the component form of the velocity of the airplane b Find the actual ground speed and direction of the airplane Save changes Cancel acer the bearing 200 at 80 mph

9 Find the resultant of two vectors of 136 lb and 251 lb with an angle of 53 9 between ther Also calculate the angel that the resultant makes with 251 lb

5 Ethan invests 20 000 in bonds The bonds increase in value by 10 each year for 5 years What is the percent change in Ethan s bonds over the 5 year period Round final answer to nearest percent

What percentage of an 8 5 x 11 sheet of paper is at least 2 inches from the edge of the paper Round to nearest percent

5 10 0 1 5 0 5 c 0 5 10 Remember the transformations lesson from the previous module What happened to the graph of the function when a value was added or subtracted on the outside of the function Feel free to use the slider on the right side of the graph to help refresh your memory with regards to the affect that c has on the function f x a b c Share With Class