Basic Math question and answers for June 27, 2024
- Q Select the correct answer.Consider functions fand g.f(x)= x-1/x2+x-1g(x) = 3 - 2Using a table of values, what is the approximate solution to the equation f(x)=g(x) to the nearest quarter of...
- Q Lighthouse Master Olivia is atop her 300 ft lighthouse and spots a boat in the distance at an angle of depression of 18. Along the same line of sight, she...
- Q The ratio of shirts to pants in Sara's closet is 5:2. Which best explains what that means? Sara has 5 shirts for every 2 pairs of pants in her closet...
- Q Ni Hua is an adventurous traveler. He skydives twice in every island he visits and skydives thrice in every peninsula he visits.In the last decade, Ni Hua went skydiving a...
- Q Which statements are true about the graph of function f?f(x) = log xThe graph has a range of {y|0 < y < ?} and decreases as x approaches 0.O The...
- Q A sandwich shop is ordering apples and grapes to make chicken salad. Apples cost $2.19 per pound and grapes cost $2.60 per pound. If they ordered a total of 20...
- Q In Exercises 1-4, find the indicated measure.1. radius of a circle with a circumference of 42? meters2. circumference of a circle with a radius of 27 feet3. circumference of a...
- Q In a Northwest Washington County, the speeding fines are determined by the formula:F(s) = 13(s 40) + 35where F(s) is the cost, in dollars, of the fine if a person...
- Q Let S be the universal set, where:S = {1,2,3,4,5,6,7,8,9,10}Let sets A and B be subsets of S, where:Set A={1,2,7,9,10}Set B= {1,2,4,5,6,7,8,10}Find the following:LIST the elements in the set (A'):(A) =...
- Q After a 40% reduction, you purchase a new stereo for $273. What was the price of the stereo before the reduction?A) First write an equation you can use to answer...
- Q Claire has received scores of 85, 88, 87, and 95 on her algebra tests. What score must she receive on the fifth test to have an overall test score average...
- Q The following equation:P = 139t + 9900gives the total population, P, of a small city t years after 1971. Use the equation to determine when (what year) the population reached...
- Q The perimeter of a rectangle is 48 feet. Describe the possible lengths of a side if the area of the rectangle is to be greater than 95 square feet.A. The...
- Q Use the given sets below to find the new set. Enter each number separated by a comma. If there are no numbers in the resulting set, leave the answer blank.A...
- Q 1. Mallory bought a computer system to start her business from home for $5,995. It is expected to depreciate at a rate of 8% per year. After how many years...
- Q Geraldo earns $505 from his summer job and deposits it in a savings account that earns 4% simple interest. After 3 years, he moves all his money to another savings...
- Q A function f(z) and interval [a, b] are given. Check if the Mean Value Theorem can be applied to fon [a, b]. If so, find all values c in [a,...
- Q The Franklins inherited $3,500, which they want to invest for the child's future college expenses. If they invest it at 8.25% with interest compounded monthly, determine the value of the...
- Q A box with an open top has vertical sides, a square bottom, and a volume of 32 cubic meters. If the box has the least possible surface area, find its...
- Q A lumber yard has fixed costs of $7259.40 per day and variable costs of $0.07 per board-foot produced. Lumber sells for $1.87 per board-foot. How many board-feet must be produced...
- Q The quadratic functionR(p)= 70p - 5.2pmodels the amount of revenue in dollars R(p), generated from a product priced at p dollars.Question: What price(s) generate a revenue of $250?Enter the two...
- Q A computer purchased for $1,100 loses 16% of its value every year.The computer's value can be modeled by the function v(t) = ab^t, where v is the dollar value and...
- Q What is the solution to the following system?3x+10y-12z=40x-5y=0X-4z=0(8, 40, 32)(10, 2, 3)(20, 4, 5)(40, 8, 10)
- Q Gordon invested $100,000 into a CD compounded quarterly with an annual interest rate of 6.00%. Determine how much money Gordon would have after 8 years. Round your answer to the...
- Q Translate the following verbal statement into an algebraic equation and then solve:Rachael bought a bookcase on sale for $220, which was two-fifths of the original price. What wasthe original price...
- Q Sarah borrows a $300 to purchase a new computer and is charged 12% simpleinterest. She is not required to make payments on the loan for two years, and shemakes one...
- Q Last week Marcus travelled 150 miles in 3 hours. This week he wants to go on a 300 mile trip in 5 hours. Will it be possible to make this...
- Q Grace collected data from twenty of her friends about the number of pets they have. The median number of pets is two.What does the median say about Grace's data set?A....
- Q In order for applicants to work for the foreign-service department, they must take a test in thelanguage of the country where they plan to work.The data below shows the relationship...
- Q The manufacturer of a refrigerator system forbeer kegs produces refrigerators that aresupposed to maintain a true mean temperature, ?,of 41F, ideal for a certain type of German pilsner.The owner of...
- Q The population of a small town in North Carolina is 4,000, and it has a decay rate of 3% per year. Which expression can be used to calculate the town's...
- Q A poll of 1567 adults in a certain country found that 23% identified themselves as the followers of some religion. The margin of error was 4 percentage points with 90%...
- Q A 10-foot ladder is to be placed against the side of a building. The base of the ladder must be placed at an angle of 72 with the level ground...
- Q Carolyn was not able to sell her house for $220,000, so she lowered the price to $195,000. What was the percent of decrease? Round to the nearest tenth of a...
- Q Solve and check the linear equation.5(x-2)+17= 4(x+3)What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The solution set...
- Q In 1984, the population of Greensboro, N.C. was 197,910.According to the U.S. Census Bureau, Greensboro has beendecreasing at the rate of 6.9% annually since 1984. Whatequation models the population of...
- Q Is the equation A = 21000(1-0.12)t a model of exponentialgrowth or exponential decay, and what is the rate (percent)of change per time period?exponential decay and 88%exponential decay and 12%exponential growth...
- Q Mr. Smith invested $2,500 in a savings account that earns3% interest compounded annually. He made no additionaldeposits or withdrawals. Which expression can be used todetermine the number of dollars in...
- Q A psychologist wants to estimate the standard deviation of IQ scores. It is widely believed that IQ scores follow a normal distribution. Her random sample of 20 IQ scores has...
- Q Order the investments below from 1 to 4, with the investment labeled "1" being theriskiest and the investment labeled "4" being the safest.Foreign StocksU.S. Government BondsFixed-Income Bank AccountU.S. Stocks
- Q There are 800 toothpicks in a regular-sized box. If a jumbo box is made by doubling all the dimensions of the regular-sized box, how many toothpicks will the jumbo box...
- Q Given that f(x)= x(x+3). Which of the following is correct?As x??, f(x)??o; as x??, f(x)?-?0.As X ??, f(x)?-o; as xxx, f(x) ??.As x??, f(x)??o; as x? ?, f(x) ??.AS X...
- Q Paul purchased a $2450 bond paying 3.5% annual simple interest after graduating from college. It is now 21 years later and he decides to cash in the bond. What is...
- Q A 15-foot ladder leans against the side of a house with its base 4 feet from the house. Use the Pythagorean Theorem to approximate how high the ladder reaches up...
- Q Samantha wants to start a college fund for her daughter Taylor. She puts $37000 into an account that grows at a rate of 2.14% per year, compounded monthly.Write a function,...
- Q 2. An educator was trying to determine the effect of remote learning on middle school aged children. They randomly selected 250 students who spent a full year with in person...
- Q Consider the following inequality: 25 <(x + 1)^2 + (y+ 6)^2. The shaded solution on the coordinate plane includes all of the area outside the circle, which is bordered by...
- Q The number of tomatoes sold weekly by a grocery store follows a normal distribution with a mean of 455 and a standard deviation of 65. Which sentence summarizes this Information?A....
- Q Determine where the graph of f is below the graph of g by solving the inequality f(x) sgtx).f(x)=x^4 +3g(x) = x + 3f(x) ? g(x) if x ? 0 or...
- Q Read the following description:An organization that provides networking and collaboration for American Indian and Alaska native psychological professionalsWhich of the following organizations best matches the description? Select the best answer.AAPANLPASIPKeyboa
- Q Suppose that a person with a push mower can mow a large lawn in 9 hours, whereas the lawn can be mowed with a riding lawn mower in 7 hours....
- Q Person A who is 20 years old, gives $6000 to their stock fund and continuesto do so for the next 10 years. Person B started contributing $6000 to the samestock...
- Q Since January 2005 the population of Brownsville has grown according to the mathematical modely = 778500 . (1.018)x, where x is the number of years since 2005a) What is the...
- Q Solve and check the following linear equation.8x ? (5x 3) = 27Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The solution...
- Q In a junior track and field meet, Jennifer jumped a height of 1.873 meters in the high jump. Samantha jumped a height of 1.807 meters.A. Use <, >, or =...
- Q The difference of two numbers is 5 and the sum of their squares is 53. Find the numbers.List any unique pairs of numbers that satisfy the given conditions.(Type an ordered...
- Q Gail, Lucas, and Joel are playing a number game where they must draw a card with a number on it. Then they compare the numbers on the cards. Gail's, Lucas's,...
- Q According to statistics, a person will devote 35 years to sleeping and watching TV. The number of years sleeping will exceed the number of years watching TV by 19. Over...
- Q Exponential EquationsExponential Equation: y =abContinuous Compounding: A =PertIn 2011, there were 8500 cell phone subscribers in Rochester. The number of people getting new cell phone services increased by 28% each...
- Q You are taking out a mortgage to buy a home. After the down payment, you need to borrow $320, 000.If a bank offers you a loan at 5.34 % for...
- Q Given the function f(x) = x - 13x + 40,what is its vertex?
- Q Which of the following would be considered a strength of cross-sectional studies? Select the best answer.Precise measurement is usually possible.They can detect patterns of behavior using relatively few participants.They are...
- Q A bucket on Bridget's porch holds 21/2 cups of water and collects 1/5 cup of rainwater each minute. A bucket on Cassie's porch is empty but collects 1/3 cup of...
- Q The Jones want to save $69,000.00 in 5 years for a down payment on a house. If they make monthly deposits in an account paying 5% compounded monthly, what is...
- Q A business pays $68 for a car seat and wants a 24% markup for operatingexpenses as well as a 6% markup for profit. However, customers think thecar seats are ugly,...
- Q A recent report indicated that twenty percent of the households in a certain communityspeak a language other than English at home. A reporter will randomly select ahousehold from the community...
- Q Boris plays a game of tennis. He servesfrom the base line to his opponent,Steffi.The path of the ball may be modelledby the quadratic curveH(x) = 2.103 +0.1455x -0.01932xfor 0 ?...
- Q Use a finite sum to estimate the average value of f on the given interval by partitioning the interval into four subintervals of equal length and evaluating f at the...
- Q Approximate the following number using a calculator.6-2.1
- Q Solve the exponential equation. Write the exact solution and the approximation to the 4 decimal places.Type "DNE" if there is no solution.109x-9 = 51) Exact solution:2) Approximation:
- Q Car A is traveling at a speed of 61 mph and isincreasing its speed 0.2 mph each second. Car Bis traveling at a speed of 75 mph and isdecreasing its...
- Q Eddie found a store that sells cell phone casesfor $18.50 plus $0.15 per letter engraved on thecase. A second store sells cases for $18.00 plus$0.25 per letter engraved on the...
- Q The data manager for a state political party gathered data to determine how many citizens would support the party's senate candidate. He polled citizens in 30 similarly sized senate districts...
- Q Select the correct answer from each drop-down menu. Marjory works at a commercial bakery. She is conducting an experiment to test the results of two yeast activators for making bread....
- Q A researcher for a travel company is looking into the prices people are willing to pay for airplane tickets. The company has communicated thatthe overall population mean is $265 with...
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