Basic Math question and answers for June 01, 2024
- Q To use the quotient rule, write the given function as a quotient of two functions.
- Q Express the fact that x differs from 10 by less than 5 as an inequality involving absolute value. Solve for x.Express the given sentence algebraically as an inequality involving absolute...
- Q Simplify the complex fraction:(3x5/4y6)/(x4/3xy)
- Q The land area of the entire United States is 3,531,905 square miles. Use the current population of the United States to estimate the population per square mile. Explain.
- Q Draw a tape diagram to represent each problem. Use numbers to solve, and write your answer as astatement.There were 22,869 children, 49,563 men, and 2,872 more women than men at...
- Q Jenny is solving the equation 3x+5-4x42 using algebra tiles. She cannot decide if she should add 3 negative x-tiles or add 2 negative unit tiles to both sides first. Which...
- Q Graph the function f(x) = ? ?x+2, and then find and graph its inverse.3f-1(x) =(Simplify your answer.)
- Q The scores and their percents ofthe final grade for a statisticsstudent are given. An erroroccurred grading the final exam.Instead of getting 94, the studentscored 99. What is the student'snew weighted...
- Q Substitution property of Equality: If AB = 20, then AB + CD =Symmetric property of Equality: If m1=m42, thenAddition property of Equality: If AB = CD, then AB + EF...
- Q Betsy, a recent retiree, requires $6,000 per year in extra income. She has $70,000 to invest and can invest in B-rated bonds paying 13% per year or in a certificate...
- Q A cell phone company charges $40 for a smart phone and $20 per month for its data package. Find the cost C(t) of operating a phone for t months. Use...
- Q A credit card company estimates thatthe average cardholder owed $7440in the year 2005 and $9420 in 2010.Suppose average cardholder debt Dgrows at a constant rate.a. Express D as a linear...
- Q When drawing a card from a deck, the P(face card and hearts) is:O 1/13O 3/26O 3/52O 1/52
- Q The distance, d, of an object in free fall for an amount of time in seconds, t, is given by the equation d = 9.81. Write the distance d as...
- Q Simplify s-s-9 and write your answer without using negative exponents.
- Q A taxi company charges an initial fee of $3 and a rate per mile of $0.71. Write C, the cost for a taxi ride, as a function of m, the...
- Q Graph f(x)=2x.
- Q A population of 420 bacteria is introduced into a culture and grows in number according to the equation below, where timeasured in hours.Find P'(t).P'(t) =P(t) = 420 3+5t72 +bacteria/hourFind the...
- Q Evaluate the discriminant and determine the number and type of solutions to the equation.6x-2x+8=0
- Q A cell phone company charges $30 for a smart phone and $20 per month for its data package. Find the cost C(t) of operating a phone for t months. Use...
- Q If we are told that (2x - 1)(5x + 3) = 0, then what can we infer?By the zero product property we know:And therefore we know that: Do not use...
- Q Solve by using the square root property. Express the solution set in exact simplest form.(z+3)=28
- Q A savings account had an initial deposit of $50 with $20 deposited each month after it was opened. The total amount in the account can be found by the function...
- Q A certain substance has a half-life of 4 minutes. A fresh sample of the substanceweighing 90 mg was obtained. After how many minutes will there be 23 mg of thesubstance...
- Q A business uses straight-line depreciation to determine the value y of a piece of machinery over a 10-year period. Suppose the original value (when t= 0) is equal to $42,000...
- Q A group of test subjects is divided into twelve groups; then four of the groups are chosenat random. [Select]ParIdeior c[Select]Simple RandomStratifiedSystematicClusterConvenient?crete, quantitative continuous,
- Q Mr. Morrison bought a cart to move boxes for $49.80 and furniture straps for $19.78. Hehelped the Greene family move and got paid $400. How much profit did Mr. Morrison...
- Q WHAT IF? The surface of a city playground is being covered with rubber mulch, which is shredded rubber made from recycletires. A city worker measures the dimensions of the playground...
- Q Hanna shops for socks that cost $2.99 for each pair and blouses that cost $12.99 each. Let x represent the number of pairs of socks purchased, and let y represent...
- Q An internet provider charges a $150 set-up fee and a $70 monthly fee. Find the cost C(t) of having a contract with this provider for t months. If a person...
- Q Convert 96F to degrees Celsius.If necessary, round your answer to the nearest tenth of a degree.Here are the formulas.C= (F-32)F=C+32
- Q The state of Michigan recorded an all-time high snowfall of 355.9 inches during the winter of1978-79. Its lowest snowfall of 81.3 inches was recorded during the winter of 1930-31. Howmuch...
- Q For a ride on a rental scooter, Dante paid a $2 fee to start the scooter plus 12 cents per minute of the ride. The total bill for Dante's ride...
- Q Frank invests $2,500 in an account that has an annual interest rate of 5.4% compoundedcontinuously. Hannah invests $3,000 in an account that has an annual interest rate of3.2% compounded quarterly....
- Q Graph r(x) = -8.Use the graphing tool to graph the function.
- Q The tangent line to the graph of y = g(x) at the point (4, 3) passes through the point (9, 4). Find g(4) and g'(4).
- Q A class of 195 students went on a field trip. They took 7 vehicles, some cars andsome buses. Each car holds 5 students and each bus hold 45 students. If...
- Q Using a calculator, simplify the following to the ten-thousandths place:A) log(768)B) In (135)2.88534.9052C) log4(225) 3.907D) log (225) 5.4161
- Q Is this equation an identity?19p+ 16 = 2p + 17p + 16yes no
- Q Write the inequality using interval notation and illustrate the inequality using the real number line.-4?x?8
- Q Determine if the following relation is a one-to-one function.S={(-6, -6), (4,4), (3,7), (7,3)}Is S a one-to-one function?YesNo
- Q The population of Winnemucca, Nevada, can be modeled by P=6191(0.98)' where t is the number of years since1990.What was the population in 1990?6191By what percent did the population change each...
- Q Use the Remainder Theorem and the Factor Theorem to determine whether (x+3) is afactor of the polynomial f(x) = 2x + 6x+x+3.O It is not a factor because f(-3) =...
- Q How much water must be evaporated from 32 ounces of a 7% salt solution to make an 8% salt solution?To obtain a solution that is 8% salt,ounce(s) of water must...
- Q Find the inverse of the one-to-one function.f(x) = 6x+5
- Q The following table shows worldwide sales of a certain type of cell phone and their average selling prices in 2012 and 2013.Yearq(p) =2012Selling Price ($) 395Sales (millions) 70220133351,050(a) Use the...
- Q Given f(x) = 32x-3 +1 and g(x) = 4x, what is the x value(s) where f(x)=g(x)?O x-1.067 and x = 10O x-0.267 and x -2.5Ox=2Ox-1.2 and x = 3.1
- Q Ellie needs more than 10 packs of thread to make friendship braceletsfor her classmates. She already has 6 packs of thread. She models this situationwith the inequality 6 p> 10,...
- Q Solve the inequality, and write the solution set in interval notation if possible. Write numbers as simplified fractions or integers.|4w-5| +6<3
- Q The 2015 senior class from Puma High School raised funds for an end of the yearparty at Club Sizzle. It costs $4,000 to rent out Club Sizzle plus $20 per...
- Q - Multiply using the distributive property.a. 3(90+5) = 3.c. 4(a + b) = 4.e. 7(y + 3) =g. s(6+x) =i. 8(5+ b) ==+3.+4.||
- Q Assume that the growth of the membership of a country club was linear from 1996 to 2000 with a membership of 167 in 1996 and a rate of growth of...
- Q Find the derivative of the function.f(x)= =10??x+ 8cos xStep 1Rewrite the function f(x) using an exponential expression for the radical.f(x) = 10x. + 8cos x
- Q A local hamburger shop sold a combined total of 481 hamburgers and cheeseburgers on Saturday. There were 69 fewer cheeseburgers sold than hamburgers.How many hamburgers were sold on Saturday?
- Q Solve for x.x2+x-2=0If there is more than one solution, separate them with commas.If there is no solution, click on "No solution."
- Q Factor the polynomial f(x) = x5 + 2x - 8x - 16and find its real zeros using the Zero Product Property.f(x) = (x - 8) (x + 2); real zero...
- Q Identify the equation as a conditional equation, a contradiction, or an identity. Then give the solution set.3(8-8w)+2=-5w+3-19wPart 1 of 2The equation isa conditional equation.a contradiction.an identity.
- Q our final answer(s).The Toyota Camry and the Honda Civic were the top-selling passenger cars in the United Statesin 2016. Honda Civic sales were 22 thousand less than Toyota Camry sales,...
- Q Solve for u.u-6u+9=0If there is more than one solution, separate them with commas.If there is no solution, click on "No solution."
- Q An employee has two options for positions in a large corporation. One position pays $13.30 per hour plus an additional unit rate of$0.95 per unit produced. The other pays $12.10...
- Q Given the parent function f(x) = x, choose the function g(x) that first reflects f(x)over the x-axis and then shifts f(x) up by 2 and left by 1.g(x) = (x...
- Q Which polynomial has a zero at x=5, a zero with multiplicity two at x=-1, twoimaginary zeros, and a y intercept at (0,4)?O f(x) = (x - 1)(x + 1)(x +...
- Q The distance from Boston, Massachusetts, to Phoenix, Arizona, isapproximately 1,690 mi. Estimate to find how long it would take todrive from Boston to Phoenix if you average 58 mi./hr.0201 C?
- Q Trent can deliver his newspapers in 60 minutes. It takes Lois 20 minutes to do the same route. How long would it take them to deliver the newspapers if they...
- Q Ethanol fuel mixtures have "E" numbers that indicate the percentage of ethanol in the mixture by volume. For example, E10 is a mixture of 10% ethanol and90% gasoline. How much...
- Q Which of the following is not a law of exponents?When dividing like bases subtract the exponents1 to any power is 1Anything to the 0th power is 1, except 0When adding...
- Q Write the equation of the line with slope 5 and y-intercept 1/2The equation of the line is
- Q Bradley High School was the winner in Saturday's track meet with the help of 20individual-event placers earning a combined 68 points. A first place finish earns 5points, a second place...
- Q A Hamilton multitouch watch was originally priced at $475. At a closing of the Alpha Omega Jewelry Shop, the watch is being reducedbyWhat is the new selling price?
- Q Critique Reasoning A cube-shaped box hasa volume of 27 cubic inches. Bethany says eachside of the cube measures 9 inches because9 x 3=27. Is Bethany correct? Explain yourreasoning. MP.3
- Q Lacoste Middle School surveyed its student population about their favorite mobileapps. The 786 students who listed Facebook as their favorite app represented 32fewer students than two times the number of...
- Q 5A triangle has sides 46 yards, 8 yards, and 38 yards. What is the perimeter (distance around the edges) of the triangle in yards?Express your answer in mixed number form,...
- Q Which of the following functions has a restricted domain?f(x) = 3x - 2x + 1f(x) = 3?2-1f(x) = -32-3+1f(x) = ln(x - 3)
- Q Keiko, Jose, and Michael have a total of $97 in their wallets. Keiko has $7 more than Michael. Jose has 4 times what Michael has. How much does each have?Amount...
- Q Lara rents a car while spending her vacation traveling in Chile. When she returns the car, she has driven 850 miles and used about 34 gallons of gas. If gas...
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