Basic Math question and answers for May 18, 2024
- Q Which question is best answered by an experiment?Does use of computer-aided instruction in college math classes improve test scores?Is there an association between the number of hours college students spend...
- Q A health club charges a one-time sign-upfee and a monthly membership fee. Theequation y=23x+35, where y = 0 total costand a represents the number of months.represents what the health club...
- Q The area of a rectangular living room is 450 square feet. The length of the room is 15 feet less than three times the width. Find the equation, in terms...
- Q After wildfires destroyed a portion of a national park, forest service biologists calculated the germination rate of new seedlings. Using a rope as a radius, they marked off a circular...
- Q An open box is to be constructed by cutting out square corners of x-inch sides from a piece of cardboard 10 inches by 6 inches and then folding up the...
- Q Students want to investigate this question: "Is there a relationship between the number of hours high school students spend each week on Facebook and their high school GPA (grade point...
- Q Consider the graph of the function f(x) =x +7x/x3-5x2-14xWhere is the removable discontinuity? Give only the x-value.
- Q A basketball player has made 12 of his last 20 free throws, which is a free throw percentage of 60%.How many more consecutive free throws would he need to make...
- Q A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 8 feet less than the length of the ladder....
- Q At the end of a snowstorm, Grace had 15 inches of snow on her lawn. Thetemperature then increased and the snow began to melt at a constant rate of2.5 inches...
- Q f(x) = -2x + 4x + 48Use the Second Derivative Test to locate any local maximum or minimum points in the graph of the given function.
- Q A 20% apple juice drink is mixed with a 100% apple juice drink. The function f(x) = (2)(1.0)+x(0.2) / 2+xconcentration of apple juice in the drink after x gallons of...
- Q Jan spent 3 3/4 hours doing homework last week. She spent 5 1/4 hours doing homework this week. How many more hours did Jan spend on homework this week than...
- Q The amount of simple interest earned, n, varies jointly with the rate of interest, r, and the number of years, t. The simple interest earned is $225 when the rate...
- Q Write an equation and solve the problem.Julia used square tiles to make adesign. She laid the tiles in a square,9 tiles wide by 9 tiles long. Each tilehas an area...
- Q Evan walks his dog 4 times around the perimeter of a park, for a total distance of 2.8 kilometers. How many kilometers does he walk each time around? Circle the...
- Q The lengths (in inches) of fish caught by two groups of fishermen are shown.Group 1: 20, 14, 14, 17, 23, 21, 9, 18Group 2: 13, 14, 24, 12, 20, 20,...
- Q A shipping container in the shape of a rectangular prism must have a volume of 25,000 cubic feet. The client tells the manufacturer that, because of the contents, the length...
- Q Explain why the initial value of any function of the formf(x)= a(bx) is equal to a.
- Q Use synthetic division to find the result when 2x4 - 8x + 10x ? 6x 49 is divided by x + 2.Write your answer in the form g(x) + d(x),...
- Q Solve the following rational inequality.3/x+2 ? -1x ? -5 or x>-2x< -5 or x?-2x < -5 or x>-2x?-5 or x?-2
- Q The number of computers N (t) (in millions) infected by a computer virus can be approximated byN (t)=2.8 / 1+17e^-0.8twhere t is the time in months after the virus was...
- Q Consider the line with the equation: y = x + 1Give the equation of the line parallel to Line 1 which passes through (-3, 2):Give the equation of the line...
- Q Solve the following rational equation, and make sure to exclude any extraneous solutions.x/x-3 + 2x/ x+3 = 3
- Q Divide using long division:24x - 31x - 71x - 25 / 8x + 3where Q(x) + R(x) / D(x)' where Q(x) is the polynomial quotient, R(x) is the remainder, and...
- Q Solve the rational equation by graphing. Make sure to exclude any extraneoussolutions.2x+1/x = x/x-2No solution.x?-0.6, 3.6x? 3.60-0.6
- Q Express the following fraction in simplest form using only positive exponents.3v8/2(v)
- Q One weekend, there were 98 pizzas ordered for the sophomore dorm. That weekend 19 customers ordered their pizza with just pepperoni, 16 customers ordered their pizza with just sausage, 20...
- Q A bank features a savings account that has an annual percentage rate of 3.4% with Interest compounded quarterly. Ashley opens one of these brand new savings accounts and deposits $2,000...
- Q Use synthetic division to find the result when 2x4 - 10x + 16x + 13 is divided by x - 3.Write your answer in the form q(x) +r(x)/d(x), where q(x)...
- Q Find R and ? given the components Rx = 15.07 and Ry = 5.29.R=
- Q Use synthetic division to find the result when 2x-9x - 16x-2 is divided by x + 1.Write your answer in the form q(x) + r(x)/d(x) where q(x) is the quotient,...
- Q Use the model Q(t)=Qoe-0.000121t for radiocarbon dating to answer the question.A sample from a mummified bull was taken from a certain place. The sample shows that 76% of the carbon-14...
- Q A boiler room has the shape of a rectangular prism. The area of the floor of the room is 112 square feet. The length of the room is 2 feet...
- Q The cost of a four-year private college education (after financial aid) has been estimated to be $50,000.+ How large a trust fund, paying 4% compounded quarterly, must be established at...
- Q The math department faculty at a large university wanted to know what portion of the student body believes students should be able to enroll in any math class without meeting...
- Q Provide an appropriate response.The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000 miles and a...
- Q Given that the degree of the polynomial f(a) is 7, which of the following most accurately describes the number of a intercepts that f(a) has?Select the correct answer below:f(x) has...
- Q Given that the polynomial f(x) has degree 9, which of the following most accurately describes the number of turning points of f(x)?Select the correct answer below:The graph of f(x) has...
- Q The sum of two nonnegative numbers is 20. Find the numbers a. if the product of one number and the square root of the other to be as large as...
- Q Find all the zeros of f(x) = 2x + 30x + 18x + 270
- Q Tremayne is saving for his daughter's college education. If the savings account earns 4% Interest compounded monthly, and he wants to have $50,000 in 15 years, what must the principal...
- Q A fish tank in the shape of a rectangular prism has a volume of 24 cubic feet. The length of the fish tank is 2 feet less than twice the...
- Q Which is an equation of the degree 3 polynomial function with real coefficients having zeros (roots) located at x = = 2 with multiplicity 1 and x = -6 with...
- Q A shed in the shape of a rectangular prism has a volume of 910 cubic feet. The length of the dumpster is 7 feet less than twice the width w,...
- Q Of all the rectangles with a perimiter of 168 feet, find the dimensions of the one with the largest area.a) 42 ft. x 42 ft.b) 14 ft. x 70 ft.c)...
- Q Find the mathematical model for the following statement. Remember to use k as the constant of proportionality.z varies jointly as the square of and the cube of y.
- Q Suppose that $12,000 is invested in a bond fund and the account grows to $14,146.32 in 5 yr.(a) Use the model A=Pe to determine the average rate of return under...
- Q Write the following expression without negative exponents and without parentheses.2x3
- Q A rectangular playground is to be fenced off and divided into two parts by a fence parallel to one side of the playground. 1320 feet of fencing is used. Find...
- Q A 12 volt battery is connected to a series circuit in which the inductance is henry and the resistance is 10 ohms. Assuming that E is constant,i. Determine the current...
- Q Find the inverse of the following function.f(x) = 6x - 7/2x 2Do not include "f-(x) =" in your answer. For example, if you found f-(x) = 2x + 1, you...
- Q Factor the trinomial completely.m +24m + 144m
- Q Which question is best answered by an experiment?Is successful completion of a college-level English class within two years of enrolling in college linkedwith earning a degree or certificate?Are students who...
- Q At Elisa's Printing Company LLC there are two kinds of printing presses: Model A which can print 70 books per day and Model B which can print 55 books per...
- Q In a study, the sample is chosen by dividing the population by Gender, and choosing 30 people ofeach gender What is the sampling method?Simple RandomSystematicStratifiedClusterConvenience
- Q If f(x) = -2ex, find f(-2).Round your answer to the nearest hundredth, and if necessary, include a leading 0 with any decimals less than 1. For example, 0.5 Instead of...
- Q In a study, the sample is chosen by asking our 40 closest friends What is the sampling method?Simple RandomSystematicStratifiedClusterConvenience
- Q Use synthetic division to find the result when 4 - 8x + 12x + 12x - 38 is divided by x + 4.Write your answer in the form q(x) +...
- Q A triangle has interior angle measures of 2x + 10, 2x-17, and x-3. What is the valueof x?Write your answer as an integer or as a decimal rounded to the...
- Q Consider the function f(x) = x + 15x + 74x + 120.If f(x) = 0 for x = -6, for what other values of x is the function equal to...
- Q If $500 is borrowed with an interest of 21.0% compounded monthly, what is the total amount of money needed to pay it back in 1 year? Round your answer to...
- Q A factory building built for $400,000 depreciates continuously at 10% per annum. What is its value after 7 years?Select the correct answer below: 188,634 178,634 168,634 158,634 148,634 198,634
- Q Suppose Charmaine places $8500 in an account that pays 8% interest compounded each year. Assume that no withdrawals are made from the account.Follow the instructions below. Do not do any...
- Q The container of orange juice held 5 cups of juice. If a serving of orange juice is of a cup of orange juice, to the nearest whole serving, how many...
- Q Evaluate e-0.87 Round your answer to five decimal places, and do not include "e-0.87"In your answer. If necessary, include a leading 0 before the decimal point. For example, 0.5 instead...
- Q Convert the angle in degrees to radians.75
- Q The amount y (in dollars) that you raise by selling x fundraiser tickets is represented by the equation y = 5xGraph the equation and interpret the slope.
- Q Advice columnist Ann Landers once asked her female readers whether they would be content with affectionate treatment by men, with no sex ever. Over 90,000 women wrote in. 72% answered...
- Q Total piston displacement is given by the following formula P.D.=?DLN, where P.D. is the piston displacement in cubic inches, D is the diameter of bore of cylinder, L is the...
- Q Use synthetic division to find the result when 3x4-3x + 10x + x ? 32 is divided by x + 5.Write your answer in the form g(x) + r(x)/d(x) where...
- Q The funtion C= 100+.30m represents the cost (in dollars) of renting a car after driving m miles.a) The slope iswhich in this situation meansb) The y-intercept iswhich in this situation...
- Q Amanda has 5 office assistants. If A is the event that at least 4 of them are men and B is the event that at least 4 of them are...
- Q Divide -60x^3-40x +54x+38 by 6x + 4.
- Q The area of a triangle, a, varies jointly with the length of the base, b, and the height, h. The value of a is 24 when b = 6 and...
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