Math Questions
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Math
Basic MathThe width of a rectangle is 5t 5 5 feet and the length is 5 5t 8 feet Find the perimeter of the rectangle The perimeter of the rectangle is feet Simplify your answer Use integers or decimals for any numbers in the expression
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ProbabilityPaul needs to randomly select one of his four children to go first in a board game Which simulation tools could he use in this situation two coins a standard deck of cards a spinner divided evenly into 12 sections with three sections each of four different colors a bag containing 12 chips in two different colors with six of each color a six sided number cube
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Basic MathTranslate the sentence into an equation Four more than the product of a number and 8 is 5 Use the variable b for the unknown number 0 O 8 OXO 0 0
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Matrices & DeterminantsRaya sent an encoded message back to Darnell that provides the location of the next clue 28 1271 41 80 44 C 77 755 13 240 2 14 1 To decode the message Darnell will need to use the inverse of the 2 x 2 encoding matrix A Complete the following problems to determine the next clue a What is the determinant of A Show your work or explain 3 points 3 4 1 2 A matrix of A Show how to get A 4 points
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Basic MathRectangle ABCD translates 4 units down and 2 units to the right to form rectangle A B C D The vertices of rectangle ABCD are labeled in alphabetical order going clockwise around the figure If AB 3 units and AD 5 units what is the length of B C OA 11 units OB OC OD 9 units 3 units 5 units
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Basic MathAshley drove to her father s house which was 164 miles away It took her 2 hours to get there After seeing her father for 2 hours she went to her cousin s house to stay overnight which was 125 miles from her father s house How many minutes does it take Ashley to get to her cousin s house if she drives at the same speed as when she traveled to her father s house Do not include units in your answer and round to the nearest hundredth For example if the answer is 19 546 minutes enter 19 55 Provide your answer below
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Basic MathA cylindrical tank contains water to a height of 2 m The tank measures 5 m high and 3 m in radius Find the work needed to pump all the water to a level 2 m above the rim of the tank The specific weight of water is 9810 N m Give the exact answer in function of
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Basic MathPoints C D and G lie on plane X Points E and F lie on plane Y E D G X F B Y Which statements are true Select three options O There are exactly two planes that contain points A B and F O There is exactly one plane that contains points E F and B O The line that can be drawn through points C and G would lie in plane X The line that can be drawn through points E and F would lie in plane Y The only points that can lie on plane Y are points E and F
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ProbabilitySuppose that Jason recently landed job offers at two companies Company A reports an average salary of 51 500 with a standard deviation of 2 050 Company B reports an average salary of 46 820 with a standard deviation of 5 755 Assume that salaries at each company are normally distributed Jason s goal is to secure a position that pays 55 000 per year What are the z scores for Jason s desired salary at Company A and Company B Please round your answers to two decimal places I Company A z Company B z At which company is Jason more likely to obtain his desired salary of 55 000 per year O Company B because the z score for 55 000 at Company B is greater than the z score for 55 000 at Company A O Company A because the z score for 55 000 at Company A is greater than the z score for 55 000 at Company B O Company B because the z score for 55 000 at Company B is less than the z score for 55 000 at Company A
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Basic MathElyds S Use the diagram below for questions 1 3 Name Date E Q 21 ft D IT Use the circle below for questions 4 and 5 Use the circle below for questions 8 10 S 52 R B 6 Find the diameter of a circle with an area of 226 98 square inches d 1 Which of the following is a tangent A PV B US C RT 2 Which of the following is a chord A PV B US C RT Bell 8 Find mED 3 Which of the following is an inscribed angle A ZPVU B ZUST C ZQUS D ZUSR 4 Find the circumference Round to the nearest hundredth 9 Find mEA Unit 10 Test Circles D PQ 5 Find the area Round to the nearest hundredth 10 Find mBDC D PQ C 1134 A 7 Find the circumference of a circle with an area of 530 93 square meters C mED mEA mBDC
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Basic MathQuestion Sue has of a bag of cherries Jim gives her another bag of cherries Now how many cherries does Sue have Give your answer as a simplified fraction not a mixed number Do not include units Provide your answer below
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Basic MathBlue Tide Swim Shop is having its annual summer sale when every item in the store gets marked down During the sale rashguards sell for 5 less than full price Miguel purchases rashguards and pays a total of 60 Which equation can you use to find how much money f each rashguard costs at full price 3f 5 60 5 f 3 60 5f 3 60 3 f 5 60 How much does each rashguard cost at full price
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Coordinate systemVector u has initial point at 8 6 and terminal point at 6 12 Which are the magnitude and direction of u Ollull 15 232 0 23 199 Ollull 15 232 0 156 801 Ollull 13 416 0 63 435 Ollull 13 416 0 116 565
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Basic MathA swimming pool is in the shape of the following figure The homeowner wishes to create a canvas cover for the pool How many square feet of canvas would be required to cover the pool 14 ft 16 ft 17 ft
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StatisticsA publisher reports that 24 of their readers own a particular make of car A marketing executive wants to test the claim that the percentage is actually less than the reported percentage A random sample of 150 found that 16 of the readers owned a particular make of car Is there sufficient evidence at the 0 02 level to support the executive s claim Step 3 of 7 Specify if the test is one tailed or two tailed Answer 1 Point O One Tailed Test Keypad Keyboard Shortcuts
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Basic MathIn a scale drawing of an airplane 1 Inch represents 4 feet Scale 1 in 4 ft Answer the following a In the scale drawing the length of the airplane is 9 inches What is the length of the real airplane feet b The wingspan of the real airplane is 40 feet What is the wingspan of the airplane in the scale drawing inches
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Basic Mathf x ab in red g x c d in blue and h x pq in green graphed below where a b c d p q are constants For each statement below enter all of the possible constants letters a b c d p or q as a list of letters in any order without any separating commas For example a possible answer could be apdq which is equivalent to paqd or any other order of these four constants but a d p q would not be graded correctly because it includes commas a Which of these constants are definitely positive b Which of these constants are definitely greater than 1 c Which of these constants could possibly be between 0 and 1 d Which of these constants could possibly be greater than the value of c e Which two of these constants are definitely equal Click on graph to enlarge y f x a b x
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Straight linesHans is planting a garden with snapdragons and daisies The table shows some possible combina of the two plants If Hans plants 29 daisies how r snapdragons will he plant models the scenario The equation Hans will plantsnapdragons
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Coordinate system142 6b5a0d9593b0 assignmentld 22d3fc7d af42 4ec8 8a2f 01a Students draw anywhere on this slide Pear Deck Interactive Slide Do not remove this bar SAREES
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Area10 ft 8 ft 6 ft Find the area of this figure Round your answer to the nearest hundredth Use 3 14 to approximate A ft Notice that only half of the circle is included in the figure Enter
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Basic Math4 For the information given find the values of x y and r Clearly indicate the quadrant of the terminal side of 0 then state the values of the six trigonometric Functions of 0 30points 3 a cos 0 and sin 0 0 7 b tan 0 2 and sin ASO
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Application of derivativesCorrect The total revenue for Fred s Estates LLC is given as the function R x 100x 0 4x where x is the number of rooms rented What number of rooms rente produces the maximum revenue Answer How to enter your answer opens in new window Keyboard
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Basic MathUse 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
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Basic MathTwo 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
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Sets and RelationsConsider this conditional statement If there is a total of 50 cents in the piggy bank then the piggy bank is empty except for two quarters a Give the converse of the statement If Choose one then Choose one b Give the inverse of the statement If Choose one then Choose one c Choose one the piggy bank is empty except for two quarters If it is not the case that the piggy bank is empty except for two quarters then there is a total of 50 cents in the piggy bank X
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Straight linesSelect all the correct locations on the graph If we draw lines to join each given point to the origin identify the points whose corresponding line has a slope that is an integer value y 10 9 8 7 6 01 5 3
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Basic MathAn 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
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StatisticsOn a math exam Joel had a score of 90 which was exactly 2 standard deviations above the mean The standard deviation for the test is 3 What score was 2 standard deviations below the mean b What percent of the scores were at least 81 What score represents the mean a between R1 andd 079
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Coordinate systemA hotel currently has enough room to accommodate at most 200 guests per night They plan to expand their capacity by 12 guests every year In order to make a profit the hotel must have at least 40 guests staying in the hotel The hotel manager expects that threshold to increase by 10 every year The manager modeled this situation with a system of inequalities where x is time from today in years and y is the number of guests He graphed the system to show the solution region when the hotel is making a profit Number of Guests 560 480 400 320 240 160 80 0 What system of inequalities did the manager create 4 8 12 16 Years X 28 20 24
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Quadratic equations03 04 One factor of the function f x x 8x 17x 10 is x 5 Describe how to find the x intercepts and the y intercept of the graph of f x without using technology Show your work and include all intercepts in your answer
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AreaThe length of a picture frame is 7 inches more than the width For what values of x is the perimeter of the picture frame greater than 154 inches loca For X the perimeter of the picture frame is greater than 154 inches Type an integer or a decimal X X
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Basic MathMarika 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
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Basic MathThe 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
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Statistics37 of U S adults say they are more likely to make purchases during a sales tax holiday You randomly select 10 adults Find the probability that the number of adul who say they are more likely to make purchases during a sales tax holiday is a exactly two b more than two and c between two and five inclusive a P 2 Round to the nearest thousandth as needed
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Quadratic equationsMr Waller owns a company that manufactures decorative statues The revenue earned in thousands of dollars by the company each year over an eight year period is modeled by this quadratic function 3 22t2 40 63 11 17
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3D Geometry3 1 point A crystal paperweight in the form of a square pyramid is represented by the figure below 4 9cm 6 cm What is the volume of the paperweight in cubic inches The volume of the paper weight is type your answer cubic inches
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Basic MathQuestion 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
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Basic MathSolve 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
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Basic Math56 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
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StatisticsDiego wondered how far sixth grade students could throw a ball He decided to collect data to find out He asked 10 friends to throw a ball as far as they could and measured the distance from the starting line to where the ball landed The table shows the distances he recorded in feet 40 1 Find the median 2 Find the IQR 76 40 63 47 57 49 55 50 53
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Basic MathAn 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
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Basic MathA 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
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Basic MathAs 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
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Basic Math16 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
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Basic Mathst 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
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Basic MathBefore 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
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Basic MathIn 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
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Basic MathCity 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
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Basic MathCalculator 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
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Sets and RelationsA 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