Coordinate system Questions and Answers

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The box plot below represents the ages of campers at a summer camp What can be interpreted from this box plot OB 10 12 14 16 18 Age years O A It can be interpreted that about 50 percent of the campers are from 10 years of age to 14 years of age O C Age of Campers at Summer Camp O D 8 It can be interpreted that about 50 percent of the campers are 10 years of age or older It can be interpreted that about 50 percent of the campers are from 8 years of age to 10 years It can be interpreted that about 50 percent of the campers are 8 years of age or younger of age

What is the scale factor for this dilation O A OB 1 1 20 1 O C D y 2 9 8 7 6 5 4 3 2 In the dilation shown above the dark colored figure represents the original image and the light colored figure represents the resulting image 0 1 2 3 4 5 6 7 8 9 X

Amanda and Steve are preparing for a party Amanda buys flowers from a florist and Steve buys groceries from a supermarket Are the two events dependent or independent Justify the answer The two events are independent because the flowers that Amanda buys affect the groceries that Steve buys The two events are dependent because the flowers that Amanda buys affect the groceries that Steve buys O C The two events are independent because the flowers that Amanda buys do not affect the groceries that Steve buys O D The two events are dependent because the flowers that Amanda buys do not affect the groceries that Steve buys A B

Using only the unit circle definition of the sine function find the solution set of the inequality on the given interval 2 2 2 sin x on 0 2x Select the correct choice below and if necessary fill in the answer box to complete your choice OA The solution set is the interval Type your answer in interval notation Simplify your answer Type an exact answer using as needed Use integers or fractions for any numbers in the expression Os OB The solution set is Simplify your answer Type an exact answer using as needed Use integers or fractions for any numbers in the expression Use a comma to separate answers as needed There is no solution

May 05 7 42 21 AM A parabola can be drawn given a focus of 10 6 and a directrix of x 2 Write the equation of the parabola in any form

Transform Quadrilateral DEFG by rotating the image 90 Counter Clockwise around the origin 0 0 to create the image of Quadrilateral D EF G A minimum of 4 points at the new vertices must be graphed you may connect the dots but it is not required because the drawing tool is not as accurate as we d like it to be x Clear Undo Redo 5 4 3 2 1 YA 6 54 32 2 1 1 2 3 D G E 2 3 4 5 6 7 F Ax X

Question 4 of 10 The circle below is centered at the point 3 1 and has a radius of length 2 What is its equation 5 10 5 OD x 1 2 y 3 2 10 OA x 3 2 y 1 22 OB x 3 2 y 1 4 OC x 1 2 y 3 4 SUBMIT

Ci 10 5 0 5 T I 5 27 S 10 T X 15 Graph f x logx by finding 4 points and the asymptote AFTER you have plotted your points and asymptote press Check my graph CHECK MYOINTS If your points were not accurate make corrections to your written work

25 Part 1 of 5 The center of the ellipse is 1 Part 2 of 5 16 The vertices are 2 1 and 8 1 Part 2 5 Part 3 of 5 The endpoints of the minor axis are 00 and 00 olo 8

AA B C is a dilation of AABC with a center of dilation at point D C O 6 3 3 What is the scale factor of this dilation 12 6 B 6 A 744 7 B

Complete the rule that describes the transformation x y Input Output 7 9 10 45 4 4 7 20 3 7 6 35 8 1 11 5 d noir

Complete the rule that describes the transformation Input Output 7 4 21 0 7 6 21 2 1 5 3 1 8 4 24 8 x y

Question 4 10 8 6 4 a 20 v y b 2 15 10 I M 3 10 15 20 NT dapat X Identify a and b for the hyperbola with equation 6 8 1 a 62 1

A polar equation is given r 10 3 2 cos 0 a Find the eccentricity Use this information to determine the type of the conic section b Find the equation of the directrix c Sketch the curve Show the exact rectangular coordinates of the vertices and the y interrents Showt

For problems 1 4 use the diagram below A O 60 7 B Find the area of OO Round your answer to the nearest tent

Find the surface area and volume of the following solids Rour 1 5 cm

Find the point that partitions segment AB is a 2 1 ratio Enter your answers and your explanation in the space provided You may also use the drawing tool to help explain or support your answer yf 10 9 8 7 6 5 4 3 A T 8 B S

a 6 3 b 0 9 3 0 d 2 4 wn in order to receive full credit ring all work and annotations Keep work organized and box C ation for circle A below Which point lies on the interior of circle A x 2 y 5 20 hat is the circumference of the circle given in 1

2 Determine whether the point 7 3 lies on the graphs of the following lines a 2x 4y 26 b x 7y 13 K

Determine if a permutation or combination is appropriate find the number of possibilities 36 The number of ways that 18 runners can win first second and third place 37 The number of ways to choose 3 slices of pizza from a pizza cut into 16 pieces

Use OP at the right to find the name of a minor arc whose measure is less than 82 D 829 P 68

Click here to watch the video Use the graph of y f x shown below to graph the function g g x f 2x y fix 8 0 CE KEE 4 5 0 0 SE DE 8 0yb

Triangle ABC has vertices A 3 2 B 1 3 and C 5 0 Write the coordinate notation for a translation of 6 units left and 9 units down Then write the coordinates of AA B C Part A Write the translation in coordinate notation Part B Write the coordinates of the image Show your work here

1 Would you use primary or secondary data in each situation Explain a To determine the percentage of fellow workers who drink at least one coffee a day 2 marks b To find the average weight of Canadian men 2 marks

How many walks of length 10 are there from the green start to the red end node in the graph below START END

E 21 14 D B x 1 X What is the value of x O x 2 O x 3 O x 4 O x 6

3x Let 0 be the measure of an angle in radians in standard position with 0 Find the exact y coordinate of the intersection of the 2 11 terminal side of 0 with the unit circle given cos 0 sin 0 State the answer as a single fraction 16 The exact y coordinate is Simplify your answer including any radicals Rationalize all denominators Use integers or fractions for any numbers in the expression

4 Determine the length of side x to the nearest tenth K L 172 cm 55

Find the area of the regular polygon 26 cm

Find the area of the regular polygon Round your answer to the nearest tenth 16 cm

Express cos R as a fraction in simplest terms R 25 Q 24 P

Find the area of quadrilateral QRST Answer 4 2 2 4 y X R

37 2 25 In circle Y what is m 21 O 6 O25 O 31 O 37

133 A 1 N 2 147 In circle Z what is m 22 O 70 133 O 140 O 147

Qo bo a Which formula would be used to find the measure of angle 1 O a b 2 a c O b c a b 6

6 5 Result 1 4 2 3 10 11 The probability of winning a coupon at the grocery store checkout is 2 25 What is the probability of not winning Instrument For questions 9 15 give each answer as a fraction in simplest form 9 Natalie randomly answered the last three true or false questions on her math quiz What is the probability that she got at least two correct 13 A group of students were asked if they play a sport or play an instrument The results are shown in the Venn diagram below If one of these students is chosen at random find each probability a P instrument b P does not play a sport 14 4 15 A die was rolled 40 times The results of each roll is given in the table below If the die is rolled once more find the experimental and theoretical probability for each result Theoretical 10 5 7 12 8 Sport 555 18 Frequency 2 14 Out of 75 students 45 are taking Algebra 2 and 32 are taking Chemistry Sixteen students are taking both Algebra 2 and Chemistry If a student is chosen at random what is the probability that the student is taking Algebra 2 but not Chemistry 10 Two dice are rolled What is the probability that the sum on the two dice is less than 69 12 A number from 1 30 is chosen at random What is the probability that the number is not a prime number a P 5 c P both instrument and a sport b P 1 or 6 c P no more than 4 d P greater than 2 d P sport but not an instrument Experimenta

What is the probability of rolling a 5 on the first number cube and rolling a 6 on the second number cube Assume the number cubes are fair and have six sides Express your answer as a fraction in simplest form O O 1 30 O 12 07 10 Cube 1 Cube 2

A grab bag contains 7 football cards and 3 basketball cards An experiment consists of taking one card out of the bag then selecting another card What is the probability of selecting a football card and then a basketball card if a the first card is not replaced b the first card is replaced Express your answers in decimal form If necessary round answers to the nearest hundredth a 0 23 b 0 21 a 0 09 b 0 49 a 0 21 b 0 23 a 0 49 b 0 09

table below shows the number of days that a meteorologist predicted it would be sunny and the number of days it was sunny Based on the data in the table what is the conditional probability that it will be sunny on a day when the meteorologist predicts it will be sunny Predicts sunny Does not predict sun Total 57 59 90 Not Sunny 570 20 590 Sunny Total 63 347 410 633 367 1000

Of 100 workers in a stadium 42 work in the concession stands and 88 are wearing name tags Of the workers in the concession stand five sixths are wearing name tags Which is the probability that one of the workers is in concessions or is wearing a name tag Works Concession 0 3 0 87 0 95 O 1 Is Wearing a Name

In a bag of 60 candies 36 are green and 45 have caramel in them If the events of picking a green candy and picking a candy with caramel are independent what percent of the green candies have caramel in them 25 60 O 75 100

A six sided number cube is rolled 350 times and the results are recorded as follows 58 ones 63 twos 52 threes 61 fours 60 fives and 56 sixes What is the experimental probability of not rolling a five Round to the nearest whole percent if necessary 83 93 17 7

3 Shortest Route Algorithm If you start at vertex A and use the Shortest Route Algorithm what would be the second path to be selected highlighted AB AC 25 points ACE A 4 8 D 2 4

Find the area of the figure 8 m 5m 8m 6 m 5m

Directions Determine whether the examples Example 7 There are 15 students waiting at the bus stop If the bus can only fit 6 more students how many ways can the driver select the students to ride the bus 8 How many ways are there to make 5 letter arrangements out of the word DISCOVERY 9 A lock contains the numbers 0 39 The lock will open when the lock is spun to the correct 3 numbers in order How many different 3 number combinations are possible for the lock if the numbers cannot repeat 10 There are 18 baseball teams in a league How many ways can the league choose two teams to play each other on opening night 11 A multiple choice test contains 35 questions If the teacher allows the students to omit any 10 questions how many ways can a student choose which questions to answer 12 There are 45 golfers in a tournament How many ways can they win first second and third place P C 4 How many 7 digit phone numbers are possible using the digits 0 2 if the digits can not ropogt and the first C P P P C P 13 Alana has 17 dresses in her closet In how many ways can she select 4 to pack for a trip P Solve 156 15116 15 6 156 5005 ways 985 91 91 4 9 51 15 20 754443 45 45 45 3 42 85 140

4 Using the function f x x 4 3 write a new equation for each transformation Each part is a new problem a Translated up 3 units b Shifted left three units c Opens down e The new vertex is located at 3 2 d Vertically stretched with a scale factor of 3 f Opens down shifted right 2 units shifted down 4 units

e 5 Rewrite the equation of the given function in graphing form State the vertex a f x x 4x 6 b c f x x 4x 1 g x 2x 8x 7 d f h x 3x 18x 23 g x x 2 x 4 f x 2 x 3 x 4

2 Use y x 4x 7 for the following questions a Write the equation in graphing form b Name the vertex and intercepts

8 Express the quadratic in vertex form y x 20 9x