Coordinate system Questions and Answers

82 196 Figure 5 Using Figure 5 above calculate the m 0 96 L 164 V 164 E

12 B Figure 1 Using Figure 1 again name the Radii O There is only one Radius no Radii OOB and OC O OB and AC AC and AB

Let P t x y be the terminal point on the unit circle that corresponds to the real number t Find the values of sin t cost and tan t 1 3 2 2 P sint Simplify your answer including any radicals Uso intogar

5 Consider the autonomous y prime y 1 y 2 y 4 ODE a 5 points Find and classify all equilibrium points as stable or unstable b 5 points Sketch the behavior of solutions on the provided axes labelling equilibrium solutions Page 7 of 14 c 2 points Suppose y 0 3 Use your sketch to find lim y t t d 2 points Suppose y 0 0 Use your sketch to find lim y t t

Find the volume of a sphere with a radius of 5 Show your work here Hint To add the pi symbol rt type pi

What is a solution to the equation x 2 11x 6 X

12 Use the expression Part A x y 12 x y5 to answer the question Which exponential property should be used to simplify the given expression A Power of a Power B Product of Powers O Quotient of Powers D Power of a Quotient Part B Simplify the given expression

STATION 2 2 3 3 4 H 4 DISTANCE FT 53 35 29 CUT AREA SF 224 109 109 210 210 50 R6 AVG CUT AREA SF 2166 5 CU 8

What is the value of x in the figure below 60 65 70 40 x

2x Plot the point 1 3 following are true given in polar coordinates and find other polar coordinates r 0 of the point for which the a r 0 2x 0 0 53 b r 0 0 0 2 1 c r 0 2x 0 4x G a What are the coordinates of the point for which r 0 2x 0 0 0 Type an ordered pair Type an exact answer using a as needed Use integers or fractions for any numbers in the expression Simplify your answer b What are the coordinates of the point for which r 0 0 0 2 Type an ordered pair Type an exact answer using z as needed Use integers or fractions for any numbers in the expression Simplify your answer c What are the coordinates of the point for which r 0 2x 0 4x 0 Type an ordered pair Type an exact answer using as needed Use integers or fractions for any numbers in the G

How do you find the angle measures and if the base is 15ft how do you find the two parts of the base C A Toft

What is the value of A if sin A O 30 O 45 60 O Undefined None of the other onc CUNOKS AKO 3 2 correct

DIRECTIONS Use this information to answer Parts A and B j x x 10 Part A Write the inverse of the function Enter the correct expression in the box Show Hints

Watch help video Which of the following sets of numbers could not represent the three sides of a right triangle O 36 77 85 O 24 45 51 O 7 24 25 O 65 72 96 Submit Answer problem 4 out of max 10

27 8 8 A 1 386 B 1 173 C 960 D 426 10 12 8 A time capsule is constructed from two rectangular pyramids and a rectangular solid with measurements indicated in the figure above Of the following which is the closest to the volume of the time capsule in cubic inches In d f

A behavioral biologist has a bag containing t treats that she is using to train a group of animals If she gives 4 treats to each animal she will have 6 treats over In order to give each animal 5 treats she will need an additional 8 treats How many animals are i the behavioral biologist s training group A 2 B 8 C 14 D 16

3 A camper wants to protect her bag of food from bears She decides to tightly stretch a rope between two trees and hang her bag from a point exactly halfway along the length of the rope The first tree is 10 feet east and 6 feet north of her firepit The second tree is 5 feet west and 8 feet north of her firepit The rope is attached at a height of 8 feet to the first tree and a height of 5 feet to the second tree Let the firepit represent the origin movement east of the firepit represent movement in the direction of positive x movement west of the firepit represent movement in the direction of negative x movement north of the firepit represent movement in the direction of positive y and movement above the firepit represent movement in the direction of positive z 1 Write the coordinates of the points on the trees where the rope is attached 2 Find the distance between the points in part a Use sqrt to indicate a square root For example 3 would be written sqrt 3 3 Find the coordinates of the point where the food bag is hung 4 If the food bag is 1 2 feet long when hung and bears can reach a height of 7 5 feet when standing is the camper s food safe from bears Explain why or why not

D AA sh sh O has 4 distinct zeros Which of the following graphs could represent the graph of m the xy plane A B Ar

Questions 11 and 12 refer to information Spring 1 Spring 2 Spring 3 Spring 4 Spring 5 Spring 6 Spring 7 Spring Constant 0 7 0 9 1 2 4 7 0 6 3 3 2 1 The chart above shows the spring constants in newtons per meter for 7 different springs in a laboratory Th force required to stretch a spring can be found by using the formula F km where F is the applied force measure in newtons k is the spring constant measured in N m m is the distance that the spring is stretched measured in meters and What is the force in newtons required to stretch Spring 2 a distance of 5 meters A 3 5 B 4 5 C 5 5

Find P Even Number Numbered Card 59 GEEE 26 YZEY

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 Twy Station A Region B only Region E only Dar S G In which region or regions would this place Justin in the VENN diagram Region A B and E Region A B and C

What is the probability of drawing a BLACK card OR a card with D a LETTER El illa alla alla 15 P

y 4 x shifted 9 units left shifted 5 units up

Find the product Simplify your answer 3m 1 3m 1

Polynomial vocabulary DYB Classify this polynomial 764 86 trinomial Subrit monomial binomial none

find the minimum value of f t 4t 3 36x 2 10 t is greater than or equal to and give the value of t where the minimum occurs

2 Explain in your own words what a mole is

12 a Solve 3y x 2 for y C 146 15 6 C 155 b Use a graphing calculator to graph the equation you found in part a c Use your graph and the TABLE feature of your calculator to find y when x 2 x 5 and x 6 2 1 F 32

9 1 a The formula F C 32 gives the Fahrenheit temperature F in terms of the Celsius tempera Transform the formula to find the Celsius temperature in terms of the Fahrenheit temperature b Use a calculator to find the equivalent Celsius temperature for a Fahrenheit temperature of 6C Round your answer to the nearest tenth

Page 1 1 4 7 10 13 2 5 col A 11 34 69 9 12 14 15 A Question 14 1 point Retake B C If m D 66 and

3 Which equation is A h b b solved for h 2A b b B h 24 b b A h h b b 2 A C h D h 2b 2b A E h A 2b

1 Determine the best method to solve for x and y in the triangle below a Pythagorean Theorem b Inverse Trig c Trig ratio d Special Triangle Ratio e Heartbeat or Boomerang X 4 3 y 30

ough the points with the given coordin 2 1 3 3

1 The point C 3 1 is rotated 180 clockwise about the origin What are the coordinates of the resulting point C A 3 1 B 3 1 3 1 D 1 3

The point D 4 2 is rotated 180 counterclockwise around the origin What are the coordinates of the resulting point D D 6 D 0 6 xo

The point Z 3 3 is rotated 180 counterclockwise around the origin What are the coordinates of the resulting point Z 0 N

Question 8 Multiple Choice Worth 1 points 03 01 LC M N O B A A B AB was dilated by scale factor of 2 to create A B Which point is the center of dilation

0 1 Find the value of x in the figure below Type your answer 113 123 97 1 point How many sides does a polygon with an interior angle sum of 1980 have Type your answer 1 point What is the measure of one interior angle of a regular polygon whose sum is 1260

5 A polygon has an interior angle sum of 2 520 How many sides does it have Type your answer 1 point Jim drew a regular polygon that had exterior angles measuring 40 How many sides did his polygon have Type your answer 1 point IGAL 1 100 I x

6 5 T do 2 Graph these two lines 4 3 2 No 0 T 2 5 0 2 1 2 0 1 1 1 6x 5y 5y 5 4x 5y 5 Where do the two lines intersect 2 You 3 5 CO answer must

Equation M B 3 4 M 15137 24 ONX 2 Equation Y 5 0 1 X Y 01 N 3 6303 Al Thon 7 6 5 3 4 2 2 1 EAT 306818

Fill in the table if y 7 3x X 2 1 0 1 2 Y Fill the table if y 644x Mic N 2 3 2

Use the following graph to find for what values of x is f x 0 f x 0 and f x 0 20 H

CO 8 y 3 7 6 5 4 2 Show Transcribed Text 3 X 2 0 2 3 5 6 3 5 O 6 7

6 5 4 3 2 3 A ON 1 4 2 3 3 2 ON The graph above shows the function f x The graph below shows g x 6 5 4 3 2 1 2 23 3 M S 2 3 4 of g x is a transformation of f x g x Af Bx where

Move the slider h so that the graph of y x gets shifted to the right 3 units Then type the new function f x in the answer box T 32 2 2 2 f x x 3 h 0 00 t Don t forget to shift the graph to the right Using function notation i e f x enter the function that results from the transformation

3x Let 8 be the measure of an angle in radians in standard position with 0 Find the exact 2 19 y coordinate of the intersection of the terminal side of 0 with the unit circle given cos 0 sin 0 State the answer as a single fraction 36

write an equation for the function whose graph is described The Shape of f x x3 shifted three unis to the left and then reflected in both the x axis and the y axis g x

An experiment is conducted with chips ea S 1 2 3 4 5 6 7 8 9 with events E Choose an odd F Choose a number less than or equal t

Which of the following is NOT an equation for a conic section Enter a b c d or e a y 5x 3x 2 b x y 5x 2y 7 0 c 2x 5y 7 d y x x 2 y 3 e 25 16 1