Math Questions

5 meters A water sprinkler has a range of 5 meters as shown The jet of water from the sprinkler sweeps out at an angle of 85 as the nozzle turns What is the area watered by the sprinkler Use the value 3 14 and round your answer to one decimal place O A 15 6 square meters OB 17 8 square meters 18 5 square meters 19 2 square meters OC 85 OD

You give up a full time salary of 45 000 a year to go to school for 2 years The total cost of going to school is 30 000 If you want to be able to recover your investment in 5 years or less what is the minimum salary you would need to earn upon earning your degree a 51 000 b 60 000 c 69 000 75 000

O 5 A surveyor determined the value of an area of land over a period of several years since 1950 The land was worth 31 000 in 1954 and 35 000 in 1955 Use the data to determine an exponential model that describes the value of the land

11 The equation c 2 5t represents the cost c for t tickets to the school play Does a value of 3 5 for t make sense in this situation Explain your reasoning Show your work What does t represent

Select the correct answer from each drop down menu Determine the number and type of solutions for the following quadratic equations using the discriminant x2 Equation 6x 5 11 x2 241 50 L 4x 8x 10 0 15x2 2 7x 8x Number and Type of Solutions

Does the geometric sequence converge or diverge Explain 320 40 5 0 625 The sequence diverges because r 8 which is less than one The sequence diverges because r 8 which is greater than one The sequence converges because r 0 125 which is less than one The sequence converges because r 0 125 which is less than one

For the following graph determine if the graph represents a polynomial function If it is a polynomial function then determine the number of turning points and the least degree possible This is not a polynomial There are no turning points as the curve represents an odd function Yes this graph represents a polynomial There are two turning points and the least degree possible is three Yes this graph represents a polynomial There are two turning points and the least degree possible is two This is not a polynomial There are no turning points as the curve is always increasing

Let f be the function graphed below If 20 subintervals of equal length are used write a summation that would represent a right Riemann sum approximation of 2 f x dx 0 5 5 4 5 3 5 3 2 5 2 1 5 0 5 0 5 0 5 1 1 5 DO 2 2 5 try 3

north positive y 1 the first hook origin Moving vertically up from the origin is movement in the direction of positive z The first hook will be hung at a point 4 feet east of the origin and 7 5 feet above the origin The second hook will be hung at a point 5 feet east of the origin 12 feet north of the origin and 8 feet above the origin Provide the coordinates of the following points 2 the second hook east positive x 3 the point on the string joining the hooks that is exactly halfway between the hooks

38 4 Place the steps required to simplify the given sum into one simplified rational expression in the correct orc Drag the tiles to the correct boxes Not all tiles will be used Tiles 8 8 3 3x x 1 3 8 1 3 3x x 1 8 3x x 1 4 4 x 1 8 x 1 32 x 1 112 8 32 3 1 32 x 1 3 x 1 32 x 1 Sequence PORO K

10 points In a class of 30 students 13 have a cat and 10 have a dog There are 4 students who have a cat and a dog What is the probability that a student who does not have a dog has a cat You must draw a two way table on your scratch paper to earn full points for this question The probability that a student does not have a dog but has a cat is kype your answer

A right cone has a base with diameter 10 units The volume of the cone is 100 cubic units What is the length of a segment drawn from the apex to the edge of the circular base aka the slant height

10 Select the correct answer A construction company is analyzing which of its older projects need renovation Building B was built two years before building C Building D was built two years before building B The product of building B s age and building D s age is at least 195 If x represents the age of building C which inequality represents this situation A OB OC O D 12 8x 16 195 12 61 8 2 195 12 4x 4 195 12 4 195 Reset Next D

The Math Team sells crunchy and fruity trail mixes to raise money The ratio of fruit to nuts in each mix and the price they charge for an 8 oz or cup bag of each mix are given in the table below Hint The ratio of fruit to nuts in the 2 1 crunchy trail mbx is 1 3 So of each bag is fruit and of each bag is nuts Crunchy trail mix Fruity trail mix Ratio of fruit to nuts Price of an 8 oz or cup bag 1 3 5 3 2 50 3 50 They have 30 cups of fruit and 50 cups of nuts to use in their trail mixes So they need to know how many bags of each type of mix they should they make They let c represent the number of bags of crunchy trail mix and frepresent the

Select the correct answer The table shows the maximum daily temperatures in degrees Fahrenheit recorded in a Texas town in May 84 86 84 88 83 85 90 84 88 84 85 83 85 84 90 84 85 85 83 85 Which data display s can be used to find the median of the maximum daily temperatures 1 box plot II dot plot III histogram OA I and II OB OC OD I II and III II and III I only

The line graph shows the average number of awakenings during the night for men and women of different ages Use the graph to estimate the difference between the average number of awakenings during the night between 25 year old men and 25 year old women SCIE The difference between the average number of awakenings during the night between 25 year old men and 25 year old women is Round your answer to the nearest tenth as needed Number of Awakenings During the Night 6 00 66 N men women VIVA 30 40 50 60 70 80 Ago 5 through 75 Q

f 3 12 5 4 3 2 1 2 3 1 2 3 4 5 At the point shown on the function above which of the following is true Of 0 f 0 Of 0 f 0 Of 0 f 0 Of 0 f 0

3 The function s f t gives the position of a body moving on a coordinate line with s in meters and t in seconds Find the body s displacement and average velocity for the given time interval s 3t 3t 10 0 t 2 A 38 m 19 m sec B 18 m 9 m sec C 12 m 15 m sec D 18 m 18 m sec

At the candy store Julie found a special scale that would measure the number of pounds p of candy and then calculate the cost c when you typed in the name of the candy For her favorite candy chocolate gummy bears she wrote this table P C 0 25 1 69 0 45 3 04 0 75 5 06 1 25 8 44 Choose all of the following statements that are true Select one or more a none of these b The total cost of the candy depends on the weight and the cost per pound of the candy c c 6 75p Od The cost of the candy is 0 15 times the number of pounds e The cost of the candy is 6 75 times the number of pounds

Finish the following phrases to identify angles as congruent or if they are supplementary add to 180 Alternate Interior angles Alternate Exterior angles Corresponding angles Consecutive angles Solve for x in the images below and show your work for full credit x 88 x 108 7x 6 Z 8x 1

Jim Goodman an employee at Walgreens earned 38 400 an increase of 16 5 over the previous year What were Jim s earnings the previous year Round to the nearest cent Earnings

Unit F Representing 3 D Objects Chapter 11 Assignment 2 7 A friend took a picture of a plant she found in the mountains To give an idea of scale she put her camera lens cover in the picture beside the plant The lens cover has a diameter of 1 5 cm in the picture and the plant has a height of 4 5 cm If the lens cover has a diameter of 65 mm in real life what is the height of the plant to the nearest millimetre

A system of inequalities is graphed below The variable x represents the number of cans someone is buying and y represents the number of bottles Conditions on the maximum amount of total weight and volume lead to two of the inequalities 180 160 140 120 100 80 60 40 20 5 10 1400 bottlon 15 Which descriptions correspond to solutions of this system 7 cans and 140 bottles 9 cans and 70 bottles 12 cans and 40 bottles

Find the derivative 10 sin x 1 cot x y ncvps instructure y 10 csc x cotx sec x y 10 csc x cotx csc x y 10 cos x csc y 10 csc x cotx sec x x

Question 20 of 25 A power company calculates a person s monthly bill from the number of kilowatt hours kWh x used The function b x the bill OA 120 OB 110 OC 100 0 15x 0 10 2 400 60 D 80 x 400 x 400 How much is the bill for a person who uses 800 kWh in a month determines h

Al changes 3 A five question multiple choice quiz has five choices for each answer Use the random number table provided with 0 s representing incorrect answers 1 s representing correct answers to answer the following question What is the probability of correctly guessing at random exactly one correct answer Round your answer to the nearest whole number Random Number Table 10000 11111 01000 10011 01101 10111 10110 11110 11100 11100 11100 10010 01100 11101 10000 00111 10110 11000

A large white canvas 9 x 21 has two triangles painted on it one with a base of 1 and height of 3 and the other with a right triangle with a hypotenuse of 5 and a side of 3 What is the probability of throwing a drop of paint into one of the triangles O 1 9 O 12 O 4 0 O 14

Eliza went to the store and bought 3 lbs of apples at 1 99 per lb two loaves of bread at 89 per loaf a boz of cereal at 3 99 per box and a gallon of milk at 3 19 per gallon If Eliza paid with 20 how much change did she receive O 5 70 O 14 93 O 5 07 20

TIME REMAINING 01 38 18 A supervisor finds the mean number of miles that the employees in a department live from work He finds x 29 and s 3 6 Which mileage is within a z score of 1 5 O 21 miles O 24 miles 36 miles O41 miles

Complete the sentence below The polynomial 2x5 3x4 12x 2 is of degree The polynomial 2x5 3x4 12x 2 is of degree Type an integers or decimals The leading coefficient is The leading coefficient is

height m 5 42 4 45 4 53 4 29 3 96 5 42 5 64 3 74 4 45 4 11 weight kg 1273 1257 1152 1059 1070 1260 1310 1046 1139 1084

A sociologist wants to investigate the question Is there a relationship between texting during class and grade point average GPA among high school seniors in a large district Which study design is most appropriate Before the semester starts randomly select 40 seniors from each high school who do not text during class Assign 20 to the texting treatment group text three or more times during every class meeting and 20 to the control group no texting during class At the end of the semester obtain each student s GPA from the appropriate admissions and records office Compare the GPA of students who routinely text during class to the GPA of students who do not text during class Obtain the cell phone numbers of all seniors in the district Send a text survey to each student asking about the student s texting habits during class Obtain each student s GPA from the appropriate admissions and records office Compare the GPA of students who routinely text during class to the GPA of students who do not text during class Obtain a list of seniors in the high school district Randomly select 300 seniors and survey them about their texting habits during class Obtain each student s GPA from the appropriate admissions and records office Compare the GPA of students who routinely text during class to the GPA of students who do not text during class

ine pis perpendicular to line q Drag and drop the correct answers to the boxes below to complete the sentence If the equation of line p is 2x 5y 10 then the equation of line q must be x 2y 12 because perpendicular lines have slopes with a product of

80 Watt 400 Watt Total B C According to the table above 100 Watt bulbs made what fraction of the working lightbulbs D 1 230 3 614 2 384 3 614 271 398 Working 1 230 2 384 3 614 2 384 2 655 Defective 127 271 398 Total 1 357 2 655 4 012

The function y 100e 0 045t models the amount y of radioactive material remaining in grams as a function of time t in days Calculate the half life of this radioactive material Round your answer to the nearest tenth 1 A B I NE

In Kawhi Leonard s previous 6 playoff games he scored the following amount of points 26 28 31 33 34 36 In his most recent playoff game he struggled and scored only 6 points Decide which statements are true or false about the influence of the outlier 6 The new outlier of 6 will increase the mean The new outlier of 6 will increase the median The new outlier of 6 will increase the standard deviation 3 4 5 6 Data Set 2 2 The frequency distributions of two data sets are shown in the dot plots below Choose the correct answer om the choices on the next page Data Set 1 3 2000 Select the one correct statement that describes these data sets The mean and median are greater for Data Set 1 The mean and median are greater for Data Set 2 The mean and standard deviation are greater for Data Set 1 The mean and standard deviation are greater for Data Set 2 True 4 False 000 8 9 10 11 12 Justify your reasoning for the choice you made above

Find the sum A wildlife refuge currently has 100 deer in it A local wildlife society decides to add an additional 2 deer each month It is already known that the deer population is growing 12 per year The size of the population is given by the recursively defined sequence Po 100 Pn 1 01pn 1 2 How many deer are approximately in the wildlife refuge at the end of the second month That is what is p 2 O1060 deer 109 deer 106 deer O111 deer

2 The senior class is having a fundraiser to help pay for the senior trip Selling a box of chocolates yields a profit of 2 45 while selling a box of cookies yields a profit of 2 70 The demand for cookies is at least twice that of chocolates but the amount of cookies produced must be no more than 550 boxes plus 3 times the number of chocolates produced Assuming that the senior class can sell every box that they order how many boxes of each should they order to maximize profit if they cannot order more than 1950 boxes combined Show work

Question 9 of 46 Todd is attempting to predict how much money his furniture company will make based on the amount raw materials the company currently has at its disposal The average profit from the sale of 1 piece of furniture can be expressed as x 4 and the average number of pieces of furniture that can be made using the current supply of raw materials can be expressed as x 4 What polynomial function can Todd use to calculate the average profit F x x 8x 16 A B F x 4 C F x x 16 OD F x 16x 16

Solve the system by substitution 4y 3x x No solution 5 7y 15

hts in a mathematics class are calculating the dimensions of a local billboard They know that the perimeter of th billboard is 130 feet and that the length of the billboard is 5 feet longer than twice the width of the billboard Which student has chosen the correct formula to use to solve this problem Choose the correct answer below Julio has decided that O A 130 2x 2 2x 5 will give the correct values OB O C O D Delia has written 130 x 2x 5 Samnong has written 130 x 2x 5 for his formula Joel has used the formula 130 2x 2 2x 5

A lottery consists of 36 numbers You must pick the six winning numbers to win What is the chance of you winning Enter your answer as an exact value Type an integer or a simplified fraction

Select the three prepositional phrases Spanning 17 098 242 square kilometers of land and water Russia is the largest nation on earth followed by Canada the United States China and Brazil

3 The population of a town increased from 3500 in 2010 to 4100 in 2017 Let x 0 for year 2010 a 6 pts Build a model exponential function of the form P t Pekt for the population of this town Clearly show your algebraic work b 4 pts Use your answer from part a to predict the year when the town s population will reach 7000 Clearly show your algebraic work

Paul Rey bought two new Dunlop tires at Goodyear for 96 19 per tire Goodyear charged 3 15 per tire for mounting 3 05 per tire for valve stems and 3 90 per tire for balancing If Paul paid no sales tax what was his total cost for the two tires Round your answer to 2 decimal places Total cost

A survey was done that asked people to indicate whether they run or ride a bike for exercise Out of those who were surveyed what is the percentage of bikers who do not run Run Do not run Bike 724 121 Do not bike 103 052

Internet Use in 2000 The following pie chart shows the percentage of the population that used the Internet in 2000 broken down further by family income and based on a survey taken in August 2000 35 000 Internet user 11 35 000 Nonuser 24 35 000 Internet user 35 35 000 Nonuser 30 a Determine the probability that a randomly chosen person was an Internet user given that his or her family income was less than 35 000 Round your answer to two decimal places 0 27 MY NOTES ASK YOUR TEACHER b Based on the data was a person more likely to be an Internet user if his or her family income was less than 35 000 or 35 000 or more Support your answer by citing the relevant conditional probabilities Round your answers to two decimal pla By comparing P Internet user 35 000 with P Internet user 2 35 000 it can be determined a person is more likely to be an Internet user if his or her family income was less than 35 000

18 Lombard Street in San Francisco California is paved with red bricks and is a switchback road with a speed limit of 8 km h because of its extreme grade The angle of elevation of Lombard Street in one section reaches 15 Determine the grade of this section of road to the nearest percent STO Thinkstock 9 A hill on Oak Street has an angle of elevation of 11 A hill on Broadway Street has a 21 grade Which hill is steeper Hint Convert both into slone

A mirror should be centered on a wall The mirror is 36 inches wide and the wall is 18 feet wide Which equation helps determine the distance x on each side of the mirror A X 3 x 18 B X 18 3 X 36 x 18 3 x 3 18

Follow the guided instructions below to create the line of reflection that would map the pink figure onto the blue figure Click and drag to draw lines connecting all corresponding points from the figure to its reflected image 10 9 8 7 6 5 4 3 2 1 10 9 y 8 7 6 5 4 3 2 1 L 2 02 4 10 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 x