Basic Math question and answers for June 26, 2024
- Q The sides of a triangle are 12 inches, 15 inches, and 8 inches. Does the triangle contain a right angle?No, the sides of 8 inches and 12 inches do not...
- Q The results of a statewide exam for assessing the mathematics skills of realtors werenormally distributed with a mean score of 72 and a standard deviation of 12. The realtors who...
- Q A bacterial culture contains 200 cells initially and grows at a rate proportional to its size.After half an hour there were 400 bacteria. When will the population reach 1000?
- Q Dave bought a new car 8 years ago for $8400 to buy a new car comparably equipped new would cost $12,500. Assuming a steady rate of increase, what was the...
- Q The members of a youth football program are required to sell tickets to chicken dinners for the program's fundraiser. They can sell adult tickets for $10 and child tickets for...
- Q What factors must be taken into account in order to form a meaningful conclusion?RandomizationReplication and treatmentsControlling variables, randomization, and replication and treatmentsControlling variables
- Q Emma's Pet Shop sells aquariums in the shape of a right rectangular prism. Eachaquarium measures 50 inches long, 20 inches wide, and 30 inches tall. The recommended density of each...
- Q Manny is deciding between two packages of yogurt. YoFruit costs $4.48 for 16 ounces.Yummy Yogurt costs $2.64 for 8 ounces. How much more does Yummy Yogurt cost perounce? per ounce
- Q Find the equation of the plane containing the point P(3, 0, -1) and the line(x, y, z) = (2, 1, 3) + t(3, -1, -2).(a) 2x 6y + 2z =...
- Q Dakota and Justine are training to be in the Sweat for Fun Run. They ran the same distance on Saturday, but Dakota finished in less time. They each plan to...
- Q Find the absolute maximum and absolute minimum values of f(t) = t?/9-t2 on the interval [-3, 3].1. Find the absolute maximum of f on the interval.2. Find the absolute minimum...
- Q Exponential models and applicationsThe number of bacteria in a culture is given by the functionn(t) = 960e0.25twhere t is measured in hours.(a) What is the relative rate of growth of...
- Q On November 1st, Ben owes $500 on his credit card.On November 5th, Ben pays $60 towards the balance of the card.On November 12th, Ben makes $90 in purchases.On November 22nd,...
- Q A company observes the lifespan of 560 lightbulbs and finds that their data follows a normal distribution. What is the approximate number of light bulbs that fall within two standard...
- Q The electromotive force V of an alternating current circuit at time t can be describe by the following function, where V is volts and t is in seconds. V(t) =...
- Q Change 648,951,239 to Roman numeral (Assume the Roman Numerals in blue have double bar over them and Roman Numerals in red have one bar over them)DCXLVIII CMLI CCXXXIXDCXLVIII MCLI CCXXIXCDCXLVIII...
- Q Olivia's mom is ordering cupcakes for Olivia's birthday. A pack of 6 cupcakes from Baked Fresh costs $18. A pack of 12 cupcakes from Milk 'n' Creme Bakery costs $27.20....
- Q The soccer team is selling sweatshirts to raise moneyto pay for their season fees. Each sweatshirt costs $20.The team has already raised $100. The team's goal isto raise at least...
- Q For a sale, a store decreases its prices on all soccer equipment by 20%. A pair of shoes before the sale is $120.Which expression(s) represent the new price? Select yes...
- Q Let f(x)=8(x-4)2/3 +2.(A) Find all critical values and list them below. Note: If there are no critical values, enter 'NONE'.(B) Use interval notation to indicate where f(x) is increasing.Note: Use...
- Q An observer standing on the top of a 360 ft cliff spots a boat at an angle of depression of 28. How far is the boat from the base of...
- Q Two pools are being filled with water. To start, the first pool had 819 liters of water and the second pool was empty. Water is being added to the first...
- Q Over time, the value of the property at 397 West Lake Street increased by 215%. If the initial value of the property was P, what expression represents the property's current...
- Q There were 1200 teams competing in the first annual world math tournament. After each round, the number of teams are cut in half.a=a. Find the a and the b for...
- Q Suppose the statement below is true: "John wen to the gym or John wen to the bank." What can be said about the statement J = John went to the...
- Q The cooking time for a mini-loaf of bread is 5 minutes longer than half the time it takes to bake a regular-sized loaf of bread. If it takes 25 minutes...
- Q An empty ice cream cone has a height of 3.02 inches and a radius of 0.98 inches. What is the approximate volume of ice cream it will hold within the...
- Q The graph of the function f(x) = e-* - 5 can be obtained from the graph of g(x) = e by one of the following actions:(a) reflecting the graph of...
- Q Jaquin hopes to earn $700 in interest in 3.6 years time from $28,000 that he has available to invest. To decide if it's feasible to do this by investing in...
- Q Marsha gave the cashier $20 to pay for 3 pairs of socks. The cashier gave her $5.03 in change. Each pair of socks cost the same amount. What is the...
- Q Sally worked 7 hours on Monday, 6 hours on Tuesday, 6.75 hours on Wednesday, 5.75 hours on Thursday, and 3.5 hours on Friday. If she is paid $10.18 per hour....
- Q The harmonic motion function d (t) = 5cos(2t), in which dis measured in centimeters and t is measured in seconds, gives the distance a swinging pendulum is from its resting...
- Q Carter Motor Company claims that its new sedan, the Libra, will average better than 31 miles per gallon in the city. Assuming that a hypothesis test of the claim has...
- Q Eduardo wants to determine the fuel consumption of his vehicle. He knows that 20 L of gasoline will get him 220 km and that 11 L of gasoline will get...
- Q A radioisotope is used as a power source for a satellite. The power output is given by the equation P = 50e t/250, where P is the power in watts...
- Q A farmer is comparing the number of eggs laid by two hens. The first hen laid 6 eggs per week for x weeks. The second hen laid 9 eggs per...
- Q Zachary earns $8.00 per hour. He get paid time and a half for any hours over 40 that he works in a week. If Zachary works 9 hours per day...
- Q The exponential model A = 883.1 e 0.014t describes the population, A, of a country in millions, t years after 2003. Use the model to determine the population of the...
- Q Suppose there are five firms in an industry. Their sales (that is, total revenue) are as follows: Firm 1: $96 million Firm 2: $48 million Firm 3: $36 million Firm...
- Q Find the greatest common factor of 9m4 and 10n.
- Q Grande Prairie to Medicine Hat, Alberta, is 1013 km and takes Suzie10 hrs and 45 minutes to drive. Suzie's SUV is travelling at a constant rateof speed from Grande Prairie...
- Q After a 70% reduction, you purchase a new sofa on sale for $204. What was the original price of the sofa? The original price was $
- Q A delivery truck is driving along a straight road, and after, hours its distance (in miles) east of itsstarting point is s = 24t - 4t At time t =...
- Q You invest $20,000 into an account that earns 5.2% interest every year.How much would you have after 18 years?a. Find the a and the b for this problem.b. Write the...
- Q A bullet is fired straight up into the air. Its velocity after t seconds is given by v(t) = -9.81t + 345 m/sec. Find the total distance travelled by the...
- Q Aisle 2 of a furniture store stocks 4-legged chairs, 4-legged tables, and 3-legged stools. If there are t tables, cchairs, and s stools, which expressions show the total number of...
- Q The designers of a standardized test are interested in knowing how long people take, on average, to complete the writing portion of the test. They decide to conduct an observation...
- Q A local hamburger shop sold a combined total of 384 hamburgers and cheeseburgers on Saturday. There were 66 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Saturday?...
- Q A puzzle contains rectangular wooden pieces with a length of 5 cm and a width of 6 cm. Each puzzle contains 10 of these rectangular pieces. If Tommothy wants to...
- Q How did Trevor Noah suggest to change the old adage: "Give 1 poina man a fish, feed him for a day. Teach a man to fish, feed him for alifetime."?*If...
- Q Mr. Costa randomly surveyed 20 students as theywalked through the front door of the elementaryschool and found that 8 of them were buying hotlunch. If there are 430 students at...
- Q A company decides to survey its employees about their job satisfaction. The company's managers are responsible for delivering the surveys. The managers Interview the employees they supervise face-to-face, asking the...
- Q The half-life of radium (Ra226) is 1620 years.When will a 20-gram sample of radium (Ra226) be completely gone? Explain.
- Q How long will it take a sample of radioactive substance to decay to half of its originalamount, if it decays according to the function A(t) = 750e-0.144t, where t is...
- Q The exponential model A = 84.3 e0.032t describes the population, A, of a country in millions, t years after 2003. Use the model to determine when the population of the...
- Q A veterinarian is interested in the average number of pets her clients own. Over the course of a month, she questions each client she meets with and records their responses....
- Q Stacy Arrington is paid $.73 for sewing a jacket collar, $.86 for a sleeve with cuffs,and $.94 for a lapel. One week she sewed 318 jacket collars, 112 sleeves with...
- Q Suppose a rectangle has width W and length L both in feet. Choose the correct translation of the following into symbolic algebra: "Five feet more than four times the width...
- Q Suppose that the amount of time it takes to build a highway varies directly with the length of the highway and inversely with the number of workers. Suppose also that...
- Q Suppose a certain baseball diamond is a square 95 feet on a side. The pitching rubber is located 61.5 feet from home plate on a line joining home plate and...
- Q Emily has 50 gallons of water to share between 6 different fish tanks. She puts an equal amount of water in each fish tank. What is the total amount of...
- Q The volume of a fixed amount of a gas varies directly as the temperature I' and inversely as the pressure P. Suppose that V= 120 cm when T=260 kelv and...
- Q Solve the following exponential equation. Express the solution in terms of natural logarithms or common logarithms. Then, use a calculator to obtain a decimal approximation for the solution. 37x+4 =...
- Q Hans will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $52 and costs an additional $0.15 per...
- Q A car traveled at an average speed of 80 miles per hour for 3 hours and consumed fuel at a rate of 34miles per gallon. Approximately how many gallons of...
- Q A biologist observed a population of bacteria that grew at a rate expressed by the exponential equation f(t) = 256e(0.0611r) where I is in minutes. How long will it take...
- Q At Imelda's fruit stand, you bought 5 apples and 4 oranges for $10, and your friend bought 5 apples and 5 oranges for $11. Using this information, is it possible...
- Q Two cyclists leave towns 180 miles apart at the same time and travel toward each other. One cyclist travels 8 slower than the other. If they meet in 5 hours,what...
- Q The Jones family and the Griffin family each used their sprinklers last summer. The water output rate for the Jones family's sprinkler was 20 L per hour. The water output...
- Q One month Rachel rented 7 movies and 9 video games for a total of $71. The next month she rented 5 movies and 3 video games for a total of...
- Q A motorboat takes 3 hours to travel 108 miles going upstream. The return trip takes 2 hours going downstream. What is the rate of the boat in still water and...
- Q The formula d = rt is used to calculate the distance an object travels over a period of time, t, at aconstant rate, r. Based on this formula, what is...
- Q Cindy measured a community college and made a scale drawing. The scale she used was 1 centimeter: 3 meters. A building at the college is 53 centimeters long in the...
- Q A dairy farmer uses a storage silo, shown below, that is in the shape of a right circular cylinder below. If the volume of the silo is 72pi cubic yards,...
- Q Find the amount of money (Future Value) in an account where $3,700 is deposited (Present Value) at an interest rate of 2.5% per year compounded continuously and the money is...
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