Vectors Questions and Answers

V and w head to tail as needed to sketch the indicated vectors a u v b u v w C U V d u w Choose the correct sketch for u v O A Q Choose the correct sketch for u v W O A Choose the correct sketch for u v O A Q O B B OB Q Q C C O C O C u Q G 5 W O D O D O D Q Q G Q

3 Which ordered pair does not fall on the line formed by the other three Hint graph the points to the right 1 16 18 2 12 12 3 9 10 4 3 6 RDBTSNFO7654 Y 20 19 18 17 16 15 14 13 12 11 10 9 8 7 32 2 1 0 F 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 X

Lets 1 5 correspond to the point x y a Determine the quadrant where x y is located b Determine whether sins and cos s are positive or negative a Choose the correct answer below A Quadrant III B Quadrant II OC Quadrant IV D Quadrant I b is the value of the function cos 1 5 positive or negative Positive Negative Is the value of the function sin 1 5 positive or negative Negative O Positive

mea inal with A in degrees not equal to the given measure of the least positive angle that is The measure of the least positive coterms Simplify your answer

72 Consider the following experiment You are one of 100 people enlisted to take part in a study to determine percentage of nurses in America with an R N registered nurse degree You ask nurses if they have an R N degree The nurses answer yes or no You then calculate the percentage of nurses with an R N degree You give that percentage to your supervisor a What part of the experiment will yield discrete data b What part of the experiment will yield continuous data

Follow the steps for graphing a rational function to graph the function F x UL Ine domain is the set of all real numbers Write F x in lowest terms Select the correct choice below and if necessary fill in the answer box within your choice A F x Simplify your answer B F x is already in lowest terms x 17x 18 X 6 Find the intercepts of the graph Select the correct choice below and if necessary fill in the answer box es within your choice OA The graph has y intercept and x intercept s Simplify your answers Type integers or fractions Use a comma to separate answers as needed Type each answer only once OB The graph has y intercept and no x intercept Simplify your answer Type an integer or a fraction OC The graph has x intercept s and no y intercept Simplify your answer Type an integer or a fraction Use a comma to separate answers as needed Type each answer only once OD The graph has neither x intercepts nor y intercepts

9 12 Find the sum of the given vectors and illustrate geometrically 9 1 4 6 2 10 3 1 1 5

Chapter b The report also gave data on the percentage of children who were not covered by health insurance for four groups Hispanic children with both parents foreign born Hispanic children with at 1Q least one U S born parent Non Hispanic White children and Non Hispanic Black children Those data were used to create the time series plots for these four groups shown below The data for all children are also included in the plot Uninsured 25 20 15 10 5 0 2010 2012 2014 Year Non Hispanic White children Non Hispanic Black children Hispanic children with foreign born parents Hispanic children with at least one U S born parent All Children Hispanic Foreign Born Parents Hispanic At Least One U S Born Parent Based on this the title of the report Select and the group showing the lowest rates is Select Non Hispanic White Non Hispanic Black 2016 2018 Write a paragraph based on this plot that comments on the similarities and differences of these groups Also explain whether the title of the report is or is not supported by these time series plots Bb Over time the percent of Hispanic children with foreign born parents who are uninsured appears to be Select who are uninsured appears to be Select 8 the percent of Hispanic children with at least one U S born parent e the percent of Non Hispanic White children who are uninsured appears to be Select B and the percent of Non Hispanic Black children who are uninsured appears to be Select B However if we look only at the last three years the percent of uninsured children in the following groups appear to be increasing Select all that apply G to be supported Additionally the group showing the highest rates of uninsured children is Select B

quadratic function f x 4x 48x 128 Give the a vertex b axis and d range ex is dered pair

Population standard deviation 23 N 49 X 14 a Set up a 98 C I E for population Mean b Set up a 95 C I E for population Proportion c Between what two values around the mean 99 of observations fall d Between what two values around the mean 98 of observations fall e Above what value only 2 of observations fall f If s 23 do parts a and b

What is the maximum atomic scattering factor of Ti 00 O 10 O 22 O 29

For the function H x x 2 a graph the rational function using transformations b use the final graph to find the domain and range and c use the final graph to list any vertica horizontal or oblique asymptotes a Choose the correct graph below O A O B G C O B The domain of the given function is xlx is a real number x Type an integer or a simplified fraction O C M O D b What is the domain of the given function Select the correct choice below and if necessary fill in the answer box to complete your choice O A The domain of the given function is xlx is a real number x Type an integer or a simplified fraction Q

Find the length of GH F I GH 5 8 2 G J H Write your answer as a whole number or a decima

A bouncy ball will bounce 80 of the height it falls If a bouncy ball is dropped from 20 feet the first bounce will be 16 feet high The second bounce will be 12 8 feet high Question What will be the height of the third bounce What is the height in feet of the 3rd bounce of the supe ball Skip Question Scratch Paper Optional To Use Functions 7 4 1 Previous Question 0 8 5 2 AC 9 6 3 11 x

A farmer wants to make a rectangular field with a total area of 4000 square meters It is surrounded by a fence It is divided into 3 equal areas by fences as shown fence x fence 30 fence fence fence fence Express the total length L of all the fence required in terms of the length x of one of the fences which divide the field L x

Tom wants to plant grass in his backyard His backyard is in the shape of a rectangle Its length is 27 feet and its width is 26 feet Suppose each pack of seed covers 13 square feet How many packs of seed will he need to cover the backyard packs

the IB SL formula booklet Round to 3 s f if not otherwise specified 21 A garden includes a small lawn The lawn is enclosed by an arc AB of a circle with centre O and radius 6 m such that AOB 135 The straight border of the lawn is defined by chord AB The lawn is shown as the shaded region in the following diagram diagram not to scale 135 ing cal B a A footpath is to be laid around the curved side of the lawn Find the length of the

1 point What is a radian a radius that is 3 14 inches long an angle measure with an arc length equal to one diameter length an arc length that is the length of one diameter an angle measure with an arc length equal to one radius length Previous

16 If AB 12 and AC 5x 4 find x MWO SE alle atmoe niwe www P

16 If AB 12 and AC 5x 4 find x MMO Trades armloq gniwollst B

How different are the minor offense laws today from the laws discussed in the video and what effect do these laws have on employment income generation and wealth accumulation In what ways might we criminalize unemployment status or poverty today

Find a vector parametrization of the line through P 1 1 1 in the direction v 6 3 4 r t t i 9 it j

Let ro co yo zo be a fixed point r x y z be a variable point and v a b c be a vector If r ro tv is a vector equation for the line through ro xo Yo zo in the direction of v a b c then we can conclude that Select all that apply 0 x x at y yo bt z 20 ct are parametric equations for the line If r x y z is on the line then the displacement vector r ro x xo y yo z zo is parallel a b c to the vector v The equation v rro 0 that is a x xo b y yo c z zo 0 is an equation for the plane containing the line x xo y Yo a b z 20 C are symmetric equations for the line

Find a vector that is parallel to the yz plane and perpendicular to the vector 3 4 4 12 11

4 10 points Consider the line of intersection of the two planes 2x x2 4x3 5 and 3x3 2 and the line 2 1 0 s 1 2 3 Find the normal equation of the plane containin these two lines

The front view of the top of a house is in the shape of a triangle whose height is 10 inches less than the length of its base and its area is 75 in2 If b represents the length of the base which of the following equations can be used to find the value of b O b b 10 75 Ob b 10 150 Ob b 10 4 75 h h 10 Base Height 75 2

rested in predicting the temperature in Fahrenheit of the striped ground cricket from their chirps per second We take a simple random sample of 15 striped ground crickets Below are the R outputs for a linear regression model Coefficients Estimate Std Error t value Pr ltl Intercept 25 2323 10 0601 2 508 0 026183 chirps 0 6012 5 475 0 000107 Signif codes Multiple R squared 0 6975 01 O 0 0 001 0 01 0 000107 0 001085 Now suppose we want to test if chirps per second are a significant predictor of temperature in Fahrenheit of the striped ground cricket What is the p value in this scenario 0 05 0 1 1

Find the orthogonal projection of u projw 98359 4422 5309 ER 4422 889 1474 12 7 18 onto the subspace W spanned by HA CH S

K O Points 0 of 1 Use the value of the linear correlation coefficient to calculate the coefficient of determination What does this tell you about the explained variation of the data about the regression line About the unexplained variation r 0 747 Calculate the coefficient of determination Part 1 of 3 Round to three decimal places as needed

Consider selecting two elements a and b from the set A a b c d e List all possible subsets of A using both elements Remember to use roster notation ie a b c d e List all possible arrangements of these two elements Enter your answers as a comma separated list Enclose each arrangement in parentheses

9 If the exact volume of a right circular cylinder is 200 cm and its altitude measures 8 cm what is the measure of the radius of the circular base 10 Suppose that the volume of an aluminum can is to be 97 in

1 point Recall that similarity of matrices is an equivalence relation that is the relation is reflexive symmetric and transitive 14 8 18 10 Verify that A A T AT T P S We know that A and B Q R 3 1 1 We also know that B and C 3 2 0 29 are similar since A P BP where Verify that BA by finding an S such that B S AS 2 1 is similar to itself by finding a T such that 6 8 2 2 Verify that A C by finding an R such that A R CR are similar since B Q CQ where

Question 6 Points 3 Find the equation of a line perpendicular to 8x 2y 4 and passes through the point 4 3 O y 4 x 16 Oy 4x 8 O y 4 x 2 O y 4 X 4 R

Question 10 What is the shape of the polygon obtained when the square circle asterisk and heart are joined 94 8 74 6 5 4 3 2 1 Y Points 3 2 O Triangle 3 O Quadrilateral 4 5 6 7 8 9

Initial Point 8 3 Answer Terminal Point 6 1

In order to buy a vacation home Neal and Lilly took out a 10 year mortgage for 150 000 at an annual interest rate of 8 After 7 years they refinanced the unpaid balance of 58 123 at an annual rate of 5 Use the table to find the monthly payments on the original loan the monthly payments on the new loan and the total amount saved on interest by refinancing Click the icon to view a table of monthly payments on a 1 000 loan The monthly payments on the original loan are Type an integer or a decimal

11 If sin a 6 TT 11 2 11 2 following expressions Be sure to simplify radicals and rationalize the denominator a cos a a 0 and cos 1 0 B find the exact value of each of the b sin 3 c Enter the numerator and denominator separately in the boxes below If the denominator is 1 enter the number 1 Do not leave either box blank The sign in the denominator should be positive Answer sin a B

If 0 x 2 find all values of x that satisfy the equation Select the correct answer below O x 3 x 3 and S X 3 and 4 tan x 1 sec x 2

1 0 1 2 3 4 5 1 2 V 3 4 4 3 L D 5

9 Name the following relationship between theses circles B O Disjoint circles O Tangent circles

If an equation is true it doesn t matter which side of the equal sign informa writte 4 Give B Symmetric Property Reflexive Property Transitive Property Additive Property rty

In Exercises 7 to 12 use the angles provided to perform the constructions 1 4 A B Exercises 7 12 7 Construct an angle that is congruent to acute ZA 8 Construct an angle that is congruent to obtuse ZB 9 Construct an angle that has one half the measure of ZA 10 Construct an angle that has a measure equal to m B MZA

9 Find the equation of the circle whose center is 2 1 and radius 5 units O x 2 y 1 25 O 2 y 1 25 O x 2 y 1 25 O x 2 y 1 25

Rewrite the vector components using the unit vector form 7 13 3 U 13 3

Given the polar equation r 1 5sing Select one O a x 24y 30y 9 0 O b x 26y2 15y 9 0 Oc 24y x 15y 9 0 d None of these which is the rectangular equation

If a 5 4 and ka 30 24 then k 9 8 7 6 5

Given the vector 6 12 6 12 1 with a directional angle of

Given a vector begins at 3 and ends at 2 1 then the components of the vector are 4

i 8j 4w 6i 3j 3w I i 7 6 5 4 3 W

What values are required for A and B so that 3pi 4 is a solution to the following question Asin x Bcos 2x 1 A R