Basic Math Questions and Answers

Use the information above to complete the missing values in the table below for 2 500 invested at 4 interest Question 2 Year 2020 2038 2074 O Less than 75 years Value of Investment 2 500 5 000 10 000 Questions 1 and 2 Some types of investments such as Certificates of Deposit earn interest based on a percentage rate People often estimate the doubling time of investments to predict how much money the investment will be worth in the future An investment that earns 4 interest will double in value about every 18 years 2 pts Which of the following is the best estimate for the amount of time it would take the investment to reach 100 000 Between 90 and 105 years

Two weather stations are aware of a thunderstorm located at point C The weather stations A and B are 34 miles apart 28 2 miles How far is weather station A from the storm 38 6 miles 21 59 9 miles A 53 B

An empty swimming pool needs to be filled to the top The pool is shaped like a cylinder with a diameter of 6 m and a depth of 1 5 m Suppose water is pumped into the pool at a rate of 12 m per hour How many hours will it take to fill the empty pool Use the value 3 14 for and round your answer to the nearest hour Do not round any intermediate computations

Marika is training for a track race She starts by sprinting 100 yards She gradually increases her distance adding 4 yards a day for 21 days Which explicit formula models this situation A an 21 n 1 4 OB an 100 n 1 4 C an 4 n 1 100 D an 100 n 1 21 www

The histogram shows the longest verified wait times for rides at a theme park this decade Longest Wait Times Frequency 5 4 3 2 0 150 160 170 180 190 200 210 Which interval had the fewest observations O 150 160 minutes O 170 180 minutes O 180 190 minutes O200 210 minutes

Question To make 3 cups of cooked rice a recipe calls for 1 cup of uncooked rice To make 5 cups of cooked rice 3 the recipe calls for cups of uncooked rice To make 8 cups of rice how much rice should you use Give your answer as an exact improper fraction not as a mixed number Provide your answer below

Solve the following problems Make sure to follow the significant figure rules for subtracting and multiplying and end with the correct unit a 10 781 g 3 0 g b 0 0023 m x 1 345 m

56 3 Jayne stopped to get gas before going on a road trip The tank already had 4 gallons of gas in it Which equation relates the total amount of gasoline in the tank y to the number of gallons that she put in the tank x O y 4 x O y x 4 O y 4 x Oy x 4

An assignment is worth 200 points For each day the assignment is late the professor deducts 5 points from the assignment grade What is the maximum number of points that can be earned on an assignment turned in 3 days after it was due AnswerHow to enter your answer opens in new window 2 Points Keypad

A student conducts two experiments in the lab and records their observations in the tables below Experiment 1 A 0 4 g piece of magnesium ribbon which is often used in fireworks is submerged in 3 0 mL Copper II sulfate solution and is allowed to sit at room temperature for one hour Observations are below Before Reaction During Reaction After Reaction Point in the Experiment Before During After linee SA PILIHE Experiment 2 0 3 g of Sodium polyacrylate the absorbent material found in diapers is mixed with 20 0 mL of distilled water and allowed to sit at room temperature for 30 minutes Observations are below COLALE Magnesium Ribbon Silvery grey smooth Covered in bubbles grey bits falling off PUERTE MNG STRET Alie Gillgisine ons til oppl cellules Rough bluish grey pleces Faint blue color at the bottom of the test tube Copper Il Sulfate solution Blue Fading blue and bubbling Sodium polyacrylate While individual crystals While crystals that are growing in size Large white chunks of crystals at the bottom of the beaker Water cloar Clear water level lowering No water at all Using the data provided which experiment showed a chemical change Justify your answer by referencing all indicators of chemical reactions that ar procont

As a smart consumer you are always on the lookout for sales coupons and rebates While shopping for new clothes you notice that one particular brand of shirts is on sale for 20 off the original price You also have a coupon for 10 off a 40 purchase Coupons are applied after the 20 discount is taken If each shirt originally costs 17 99 how many shirts would you need to buy to be able to use your coupon Show your work 15 points

16 14 121 10 8 5 0 0 N 2 M 6 8 10 12 14 Which sentence describes why polygon MNOP is congruent to polygon JKLP OA Polygon JKLP maps to polygon MNOP through a translation OB Polygon JKLP maps to polygon MNOP through a rotation OC Polygon JKLP maps to polygon MNOP through a dilation OD Polygon JKLP maps to polygon MNOP through a stretch

9 Type the correct answer in each box Use numerals instead of words A manufacturer tests a certain number of the headsets that are produced each day If 280 units of that model are tested and the manufacturer finds 273 headsets without any defects what is the chance of finding a defective headset Round your answer to the nearest tenth There is a chance of finding a defective headset Reset Next

st on the effect of video game play and how it affects grades in academics The results were shocking and it is estimated that every hour of video game play reduces your academics score by 5 points What if you play 2 hours a day and currently have a grade of 80 lope Intercept

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 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

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

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

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

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

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

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

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

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

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