Math Questions

Before radar and sonar sailors would climb to the top of their ships to watc for land or changes in weather If the lookout at the top of the mast can see an island six miles away about how tall is the mast Round your answer to the nearest whole number if necessary Use the formula for the relationship between height h and visibility how far you can see d OA 25 feet OB 7 feet C 52 feet D 20 feet

In the translation T of the graph below use the figure to describe the following transformation y 7 6 5 4 3 2 1 T 2 x y x 9 y 1 X 6 y 2 2x 6 2y 2 2 3 4 in 5 67 7 6 S 4 3 2 x y 12 3 4 x 3 Y 1 5 6 7 x

City planners are creating a 3 dimensional model of a city park to find the best placement for a new tennis court The city park is on a rectangular plot of land that is 1 500 ft long and 600 ft wide The scale model of the park measures 7 5 ft x 3 ft If the dimensions of the actual tennis court must be 120 ft long and 60 ft wide what are the dimensions of the tennis court in the scale model Note If the answer is a decimal include a leading zero For example enter 0 5 instead of 5 Length Width Ift Ift

Calculator A brand new filled can of chicken broth is 10 cm tall and has a radius of 10 cm Mishka uses some of the broth to cook and now the broth left in the can is 6 cm high How much broth did Mishka use Round only your final answer to the nearest whole number O 943 cm O 1257 cm O 1885 cm O 4712 cm

A basketball team has two substitute players Smith and Jordan The coach can choose to use one neither or both of these substitute players in a game In the braces below list all the possible sets of substitute players that the coach can use Write each set in your list in roster form If there is more than one set in your list separate them with commas If you need the empty set in your list use the symbol Smith Jordan 0 0

A boat is traveling at 54 knots in a direction of 48 It encounters wind moving at 14 knots in a direction of 20 What is the true velocity and direction of the boat Round to the nearest whole number 67 knots 42 4 447 knots 68 49 knots 47 67 knots 68

I O Industrial Organizational Psychologists examine hiring practices and employer employee relations in many major corporations Recently the contributions of employee status has been explored as a potential contributor to raises received in the workplace The table below shows the percent increase in salary for entry level management and executive employees at a company Entry Level 8 42 7 65 11 54 9 61 10 08 9 98 9 66 Management 16 59 8 53 9 85 11 32 14 70 11 71 8 02 Executive Type numbers in the boxes a Part 1 4 points a Part 2 4 points a Part 3 4 points 12 points 10 95 11 55 0 11 10 31 9 93 9 79 11 21 13 60 13 04 14 49 15 85 14 62 13 08 13 15 13 74 12 67 To study the variability of raises for the three different employee statuses calculate the sample standard deviations Round to 4 decimal places

A construction worker is pouring concrete stairs The first step requires 1 6 cubic feet of concrete and the first 5 steps require a total of 24 cubic feet If the steps follow an arithmetic series how much concrete is required for the first 10 steps 48 cubic feet 88 cubic feet 106 cubic feet 160 cubic feet

The graph provides a good approximation of the number of food stamp recipients in millions from 1994 through 2004 Use the given ordered pairs to find the average rate of change in food stamp recipients per year during this period C The average rate of change is million recipients per year Type an integer or decimal rounded to two decimal places as needed Recipients in million 28 1994 27 6 26 24 22 20 18 1991 1999 2004 21 5 2004

ist all the elements of the following set Use set notation and the listing method to describe the set 2 4 8 256 e complete list is se a comma to separate answers as needed Use ascending order

A ship travels N36 E for 500 nautical miles In component form which vector represents this displace North 1 Picture not drawn to scale 500 NM O 500 tan 36 500 tan 54 O 500 cos 36 500 sin 36 O 500 cos 54 500 sin 54 O 500 sin 36 500 cos 36 O 500 sin 54 500 cos 54 East

Each student in Mr Grinkov s class is either a junior or a senior Mr Grinkov took some students from his class on a field trip Of t 7 32 seniors in his class went on the trip and 37 juniors from his class also went on the trip Use this information to answer the questions below If not enough information is given to answer a question click on Not enough information a How many juniors are in the class b How many seniors from the dass did not go on the field trip c How many seniors from the class went on the field trip F Not whough indonnation

Select the correct answer from each drop down menu The ratio of sin B cos B sin A 8 feet to 90 A ramp is 17 feet long rises 8 feet above the floor and covers a horizontal distance of 15 feet as shown in the figure C is equal to tan B ramp 15 feet Reset B Next

Use the figure to find the specified angle measure In the figure m n andx ly 3 6 7 11 12 10 14 15 16 S Suppose m 25 68 Find m 14 by the select select Alternate Interior Angles Theorem m 214 Corresponding Angles Theorem and Linear Pair Theorem Corresponding Angles Theorem Vertical Angles Theorem and Linear Pair Theorem AMALUBA Elutule TREPPANSET 10 C C FOLDER P

Mr Zepplin wanted to see how different types of music affected students pulse rates He played different types of music heavy metal rap R B alternative pop country and classical music Identify the independent variable Mr Zepplin Pulse rate High pulse rate Types of music

Try It Abigail has 30 00 to buy groceries She needs to buy some apples some bananas and 3 pounds of potatoes Fuji apples are 1 79 a pound bananas are 0 36 each and potatoes are 2 99 for a 3 lb bag If a represents the number of pounds of apples Abigail buys and b represents the number of bananas she buys which expression represents the amount of change she receives after her purchases 30 00 a b O 1 79a 0 36b 2 99 30 00 1 79a 0 36b 2 99 30 00 1 79a 0 36b 2 99

When rabbits were introduced to the continent of Australia they quickly multiplied and spread across the continent since there were only primitive marsupial competitors and predators to interfere with the exponential growth of their population The data in the following table can be used to create a model of rabbit population growth Time months No of Rabbits 0 6 1 y 7 898 x 1 491 2 y 7 89803992x 3 x 17 9 months 1 7 982 x 1 497 0 4035x 2 y 7 982e 3 x 17 7 months 1 y 7 982 x 1 907 2 y 7 98206455 3 x 20 6 months 3 1 y 7 898 x 1 049 00478x 2 y 7 898e 3 x 149 months 6 9 1 Find the regression equation for the rabbit population as a function of time x 2 Write the regression equation in terms of base e 3 Use the equation from part b to estimate the time for the rabbits to exceed 10 000 32 107 309 12 770

Forests are complex evolving ecosystems For instance pioneer tree species can be displaced by successional species better adapted to the changing environment Ecologists mapped a large Canadian forest plot dominated by pioneer Douglas fir with an understory of the invading successional species western hemlock and western red cedar The two way table records the distribution of all 2050 trees in the plot by species and by life stage The distinction between live and sapling trees is made for live trees taller and shorter than 1 3 meters respectively Western red cedar RC Douglas fir DF Western hemlock WH Total Dead Live Sapling Total 0 02 0 10 0 08 0 20 0 00 0 32 0 16 0 16 0 23 0 21 0 04 0 48 0 41 0 47 0 12 To access the complete data set click the link for your preferred software format Excel Minitab JMP SPSS TI R Mac TXT PC TXT CSV CrunchIt What does the given data say about the current composition and the evolution of this Canadian forest a Compute the conditional probabilities that a randomly chosen tree is dead given information about its species for each of the sine in this Comet Beton rounded to three decimal places

Suppose a county s recent health report gives a pet allergy prevalence of 0 16 for kids There is a new at home test kit for pet allergies on the market that provides families with a convenient way to test if children have a pet allergy The probability that the test gives a positive result when a child really does not have a pet allergy is 0 04 The probability that the test gives a negative result when a child really does have a pet allergy is 0 15 The tree diagram shows the possible outcomes with the associated probabilities What is the probability of an incorrect test result Give your answer as a decimal precise to two decimal places P incorrect test result Pet allergy status 0 16 0 84 Pet allergy No pet allergy Test result 0 85 0 15 0 04 0 96 Positive Negative Positive Negative

Select the correct answer from each drop down menu Use the given functions represented by the equation and the graph to complete the statements 2x3 3x2 5x 7 As x approaches positive infinity f x approaches 8 6 2 g x 8 6 4 2 4 6 8 9 2 4 6 and g x approaches 8 X

Select the correct answer from each drop down menu Tests show that the hydrogen ion concentration of a sample of apple juice is 0 0003 and that of ammonia is 1 3 x 10 9 Find the approximate pH of each liquid using the formula PH log H where H is the hydrogen ion concentration The pH value of the apple juice is The pH value of ammonia is J S O 54 V 21

Suppose that the nation of Copperton produces cinnamon and nutmeg Below are the possible combinations of cinnamon and nutmeg that Copperton can produce Use the data below to follow steps a d Once you have created your curve upload a picture Make sure all elements are labeled x axis y axis points a Using one of the graphing tools described in the directions plot the Production Possibilities Curve for Copperton b Find the combination of cinnamon and nutmeg of 6 000 tons of cinnamon and 3 000 tons of nutmeg Label this point F What term best describes this point c Find the combination of cinnamon and nutmeg of 6 000 tons of cinnamon and 14 000 tons of nutmeg Label this point G What term best describes this point d Draw a new curve on the same graph reflecting what the PPC might look like if new production technology is invented to speed up production in both industries Combination A B C D E Cinnamon metric tons X axis 7 000 6 000 4 500 2 500 10 Nutmeg metric tons Y axis 10 7 000 11 000 14 000 16 000

Select the Humans have a normal body temperature of 98 6 F A temperature x that differs from normal by at least 2 F is considered unhealthy Which inequality could be used to determine whether a temperature is unhealthy ect an OA x 98 6 2 x 98 61 2 x 98 6 22 x 98 6 2 SOB OC O D

Anna has purchased 3 pounds of rice from the market for 21 What is the function that defines the cost of rice as a function of weight in pounds Select one O a f x x O b f x 21x O c f x 7x O d f x 3x What is the range of g x 2x 3 if the domain is 2 1 0 1 2 Select one O a 0 1 3 5 7 O b 1 1 3 5 7 OC 1 0 1 3 5 O d 7 5 3 1 1 What is the range of g x x Select one O a O b 0 0 O c 0 O d 0

V 2 V 1 1 V lim t 1 1 The size of a balloon is changing with respect to time such that the volume is measured in cubic centimeters and t is measured in seconds A tangent line is shown for V t at t 2 seconds Determine the best estimate for the value of the instantaneous rate of change of V t when t 2 6 points AV t 2 V 2 01 V 1 99 0 02 8 7 6 5 3 2 1 0 1 21 V t y 0 2 3 4 5 6 7 X 8

A recycling plant manager needs to melt 1500 kg of scrap copper to sell to a wire manufacturer The copper is at 288 C and its melting point is 1356 C The copper has a specific heat of 385 J kg C How much heat is required to raise the temperature of the copper to its melting point O 7 9 x 108 J O 7 7 x 108 J 6 3 x 108 J 6 2 x 10 J Q mass Cp Final Temp Initial Temp

Train A is traveling at 70 mph to a destination 200 miles away Train B will leave 20 minutes after train A Train B will leave from Train A s destination and will head in Train A s direction If Train B will be going at a speed of Train A s how long after Train A left will it take before Train B arrives at Train A s starting point Round your answer to the nearest tenth of an hour

On moving day Guyton needs to rent a truck The length of the cargo space is 11 ft and the height is 2 ft less than the width The brochure indicates that the truck can hold 385 ft What are the dimensions of the cargo space Assume that the cargo space is in the shape of a rectangular solid The dimensions of the cargo space are x x 2 ft by 11 ft ft by ft X

Use the Fundamental Theorem of Calculus to find the area under curve of 2 7 between x 3 and 7 In your calculations if you need to round do not do so until the very end of the problem

ACRV has side lengths that measure 10 centimeters 12 centimeters and 15 centimeters Which of the following best describes this type of triangle O A Scalene triangle B Obtuse triangle C Isosceles triangle O D Equilateral triangle

Chris is super hungry and wants to eat an entire pizza The radius of the pizza is 6 inches If Chris eats the whole pizza how many square inches did he consume Your answer should be a number only Use 3 14 for pi Round your answer to the nearest hundredth

sider the two exponential equations shown Identify the attributes for each equation to complete the table 40 111 89 40 250 250 0 89 Initial Value Growth or Decay 11 Growth Decay Rate Growth Decay 8 9 250 40 1 11 Initial Value Growth or Decay I Growth Decay Rate

A 150 lb person who runs at 6 mph for 1 hr burns about 720 calories The same person walking at 2 mph for 90 min burns about 240 calories Suppose a 150 lb person runs at 6 mph for 75 min How far would the person have to walk at 2 mph in order to burn the same number of calories as burned when running The person has to walk miles Type an integer or a decimal

7 The principle of redundancy is used when system reliability is improved through redundant or backup components Assume that a student s alarm clock has a 17 1 daily failure rate Complete parts a through d below a What is the probability that the student s alarm clock will not work on the morning of an important final exam Round to three decimal places as needed b If the student has two such alarm clocks what is the probability that they both fail on the morning of an important final exam Round to five decimal places as needed c What is the probability of not being awakened if the student uses three independent alarm clocks Round to five decimal places as needed d Do the second and third alarm clocks result in greatly improved reliability A Yes because total malfunction would not be impossible but it would be unlikely B Yes because you can always be certain that at least one alarm clock will work C No because total malfunction would still not be unlikely D No because the malfunction of both is equally or more likely than the malfunction of one

Mr Smith has 5 courses he teaches at the community college His Course A has 102 students with an average tardiness of 3 students each day Another course has an average tardiness of 5 students each day with 85 enrolled The average of these two courses receive a B What percent of students are tardy in Course A Do not include in answer and round to nearest hundredth Example if answer is 19 567 put 19 57 Provide your answer below

A chocolate cake recipe serves 12 people A blueberry cake recipe serves 36 people A lemon cake recipe serves 16 people Each recipe needs 2 eggs The chocolate needs 2 cups of flour while the blueberry needs 3 cups The lemon uses 2 lemons and the blueberry uses 1 cup of blueberries Each recipe needs 1 cup of sugar and milk If we need to make the lemon cake for 9 people how much sugar is needed Round your answer to the nearest tenth of a cup and do not include cups in your answer For example if the answer is 19 256 cups enter 19 3

What is the correct way to notate the blue region indicated by this Venn Diagram U A B Enter a b c or d b An B d A a A UB C AUB e A e B Enter

A survey was conducted from a random sample of 8225 Americans and one variable that was recorded for each participant was their answer to the question How old are you Select one answer 10 points The mean of this data was found to be 42 while the median was 37 What does this tell you about the shape of this distribution

Jane and Rob go to the local cafe to have breakfast A single chocolate muffin has 290 calories and a blueberry muffin has 270 calories Both muffins can be bought at the local cafe The fruit platter has 190 calories and the french toast has 350 calories A glass of orange juice is 40 calories and milk is 102 calories The hashbrowns and eggs have twice the calories of the fruit platter Jane has half a blueberry muffin with a whole fruit platter and a third of a glass of milk for breakfast Rob has hashbrowns and eggs with a half glass of orange juice What was the smaller amount of calories consumed between Jane and Rob Round to the nearest whole calorie Do not include units in your answer For example if the answer is 19 calories put 19

Kevin cycles 18 miles every morning as part of his exercise The time it takes him to complete the distance varies inversely as the speed at which he rides Which equation best models the amount of time it takes him to finish with his cycling t if he rides at a speed of m miles per hour OA t 18 m O B t O C OD t m 18m 18 772

3 2 31 According to a study 79 of K 12 schools or districts in a country use digital content such as ebooks audio books and digital textbooks Of these 79 3 out of 10 use digital content as part of their curriculum Find the probability that a randomly selected school or district uses digital content and uses it as part of their curriculum The probability that a randomly selected school or district uses digital content and uses it as part of their curriculum is Round to three decimal places as needed

weight of 4 3 ounces and a standard deviation of 0 25 What is the probability that a randomly chosen hamster weighs less than 4 6 ounces 0 655 0 788

Andrew is watching the stock market He recorded the changes every day as follows Day 1 Opened at 4 798 68 points Day 2 Lost 125 07 points Day 3 Lost 36 5 points Day 4 Gained 52 71 points Round each number to the nearest whole number Then add the values to find the value on Day 5 4 690 4 689 4 691

Suppose a vine maple grows in height linearly Four weeks after it is planted it stands 7 8 inches and after nine weeks it is 13 8 inches tall Write an equation that models the growth in inches of the vine maple as a function of time in weeks 1 What is the slope of the function 2 How tall was the tree when it was first planted 3 Write the function G w 4 How tall will the vine maple be after 16 weeks If needed round to 2 decimal places

1 Fabio has his own computer repair business He uses the following guidelines to estimate how long a project will take Install operating system 1 hour Replace motherboard 1 hours Reimage hard drive 2 hours Upgrade memory 20 minutes Install new hard drive 45 minutes Install sound card 30 minutes Install video card 30 minutes Fabio needs to install a new hard drive and an operating system for a customer If Fabio charges 65 per hour what will he charge the customer for his time A 94 25 B 105 00 OC 113 75 D D 146 25 42 There are approximately 1 335 000 000 cubic kilometers of water in the Earth s oceans Which of the following expresses that number in scientific notation A 1 335 x 100 x 100 B 1 335 x 10 C 1 335 x 106 1 09

The radius of Earth is approximately 6378 km What is the approximate area of a cross section of Earth that contains the center of Ea The area of a cross section of Earth that contains the center of Earth is approximately Round to the nearest million as needed

To make a profit a company s revenue must be greater than its operating costs The company s revenue is modeled by the expression 7 5x 100 where x represents the number of items sold The company s operation costs are modeled by the expression 79 86 5 8x How many items does the company need to sell to make a profit The inequality that will determine the number of items that need to be sold to make a profit is The solution to the inequality is The company must sell at least profit items to make a

Suppose that you have a piece of string 6 cm long If one end is held fixed and you draw with a pen at the other end keeping the string tight then you will draw a circle What is the circumference of this circle Express your answer in centimeters to three significant figures

Todd hit a golf ball 250 yards The maximum height the golf ball reached was 35 yards Assume the path of the ball is parabolic Write an equation for the path of the ball OA B C D y y y y 5 49 x 125 35 7 3125 x 125 35 5 301 x 35 125 5 1849 x 35 125

Marcus finds that 3x 2y 5x 4x 12y 7x 7x 10y 2x What error did Marcus make O He combined the terms 5x and 7x incorrectly O He combined the terms 3x and 4x incorrectly O He combined the terms 2y2 and 12y2 incorrectly O He subtracted the polynomials instead of adding