Basic Math question and answers for May 08, 2024
- Q f(x) = -3/x^2Find two points on the graph of this function, other than the origin, that fit within the given [-10, 10] by [-10, 10] grid. Express each coordinate as...
- Q In a circle with a radius of 6 ft, an arc is intercepted by a central angle of 3?/2 radiansWhat is the length of the arc?2? ft3? ft 6 ?...
- Q Factor each expression:27x+1 =8a - 125b=
- Q Given the two functions, which statement is true?f(x) = log15 x, g(x) = log15 (x+4)g(x) is stretched vertically by a factor of 2 and shifted to the left 4 unitscompared...
- Q Which of the following polynomials is guaranteed by the Intermediate Value Theorem to have a zero on the interval [3, 4]?Select the correct answer below:f(x) = 2x + x ?...
- Q According to a researcher's data, about 63% of all of San Diego has taken at least 1 dance class. Suppose that we obtain 300 randomly selected San Diegans. a) Is...
- Q The monthly demand equation for an electric utility company is estimated to be p= 50- (10)x, where p is measured in dollars and x is measured in thousands of kilowatts-hour....
- Q The hole for a footing needs to be 7 ft deep. If it is currently 1 ft 7 in. deep, how much deeper does it need to be dug? Give...
- Q Lacey is at her house, which is located at (2, 4) on a coordinate grid. She wants to go to a bookstore that is located at (1, 6).Which route could...
- Q Psychologists use the formula i = 100m/c to measure a person's intelligence. Called the intelligence quotient, or I.Q., i is expressed in terms of m, the person's mental age, and...
- Q The average number of pounds of red meat a person consumes each year is 196 with a standard deviation of 22 pounds (Source: American Dietetic Association). If a sample of...
- Q The perimeter of a square box is 12x + 32. Drag numbers to complete an equivalent expression that shows the perimeter as four times the side length of the box....
- Q Identify the explicit formula for the sequence given by the following recursiveformula:f(n)=[(1)=-2f(n)=f(n-1)+4 if n>1A) f(n) = 2 - 4(n ? 1)B) f(n) = ?4 + 2(n ? 1)C) f(n) =...
- Q Given the function f(x) = 2x - 1, evaluate and simplify the expressions below. See specialinstructions on how to enter your answers.f(a) =f(a+h) =f(a+h)-f(a)/h =
- Q If we are collecting sample data for a study, the that we choose can greatly influence the validity of our conclusions. For example, we can use sound statistical methods to...
- Q A line passes through the point (, 2) and has a slope of -2.Write an equation in point-slope form for this line.
- Q The atmospheric pressure on an object decreases as altitude increases. If a is the height (in km) above sea level, then the pressure P (a) (in mmHg) is approximated by...
- Q Solve the following inequality.x2 +5x-6<0
- Q A family buys a studio apartment for $180,000. They pay a down payment of $54,000.a. Their down payment is what percent of the purchase price?b. What percent of the purchase...
- Q Rewrite this number in decimal notation without the use of exponents or scientific notation:2.858 x 10Enter an integer or decimal number [more..]Answers may be entered with or without commas, but...
- Q Find the degree, leading coefficients, and the maximum number of real zeros of the polynomial.f(x) = x + 2 + 5x^8 - 3x^5Degree =Leading Coefficient =Maximum number of real zeros...
- Q Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate.Voltage measurements of batteries: 1.5 V, 3 V, 4.5 V, 6 V, and 7.5 VChoose the...
- Q Graph the rational function.f(x) = 3x+3/x+2Start by drawing the vertical and horizontal asymptotes. Then plot two points on each piece of the graph. Finally, click on the graph-a-function button.
- Q A small airline has a policy of booking as many as 57 persons on an airplane that can seat only 50. (Past studies have revealed that only 77% of the...
- Q There are currently 10 frogs in a (large) pond. The frog population grows exponentially, triplingevery 9 days.How long will it take (in days) for there to be 270 frogs in...
- Q Let f(x) = 7/xThe slope of the tangent line to the graph of f(x) at the point (-6,-7/6) isThe equation of the tangent line to the graph of f(x) at...
- Q Petty Marine Co. has a long-term plan to expand to a second location that's actually near some water, so they want to start a monthly annuity to save $100,000 in...
- Q A charity organization had to sell a few tickets to their fundraiser just to cover necessary production costs. After selling 10 tickets, they were still at a net loss of...
- Q Let (4, -7) be a point on the terminal side of ?.Find the exact values of sin?, csc?, and cot?.
- Q If 11900 dollars is invested at an interest rate of 10 percent per year, compounded semiannually, find the value of the investment after the givennumber of years, using the following...
- Q A major league baseball team has 20 players on the active roster. How many choices does a manager have for batting order, listing the nine starters from 1 through 9?
- Q The time that it takes to fold 1,000 origami cranes varies inversely with the numberof people folding the cranes. If a class of 25 students work together to fold the...
- Q A class survey asked students to indicate if they are MAC or PC users. Of the following graphs, which is most appropriate to display their results?A. Pie chartB. HistogramC. Either...
- Q A grocery store has a discount of 13% off hand soap. At the same time, the handsoap manufacturer has a coupon for $2.00 off. Assuming both promotions can beapplied at...
- Q Cidnee is weighing combinations of geometric solids. She found that 4 cylinders and 5 prismsweigh 32 ounces and that 1 cylinder and 8 prisms weigh 35 ounces. Write and solve...
- Q Is x = 0 a valid potential solution to the equation log(x + 7) + log(x - 3) = 17?A) Yes, logarithms are valid for any integer.B) No, because it...
- Q A student is gathering data on the driving experiences of other college students. One of the variables measured is the type of car the student drives. These data are coded...
- Q Graph the linear equation.x = -7y
- Q Rewrite the expression x^5/8 in radical form.
- Q In a random sample of 900 Americans, 40% indicated that they have a cat for a pet. Estimate with 99% confidence the proportion of all Americans that have cats as...
- Q Use the following information: In the United States, land is commonly measured in terms of acres. One acre is equal to 43,560 square feet.In the "Old West," a common homestead...
- Q Each order of lasagna or ravioli at Casa Italia weighs 1 lb and consists ofmeat filling wrapped in pasta. On Tuesday evening, the restaurant served40 orders of ravioli and 60...
- Q The following rule describes the relationship between and y.Rule: To find y add 2 to x.Complete the table for the given rule.
- Q The point P(5, 0.8) lies on the curve y. If Q is the point (a, 4), find the slope of the secant line PQ for the following values of a.If...
- Q Use graphing technology to find the domainof the function f(x) = ?(x - 2) - 2.
- Q A dripping faucet wastes 3 cups of water every 24 hours. How much water is wasted in a week?
- Q A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the number of machines made. If x machines are...
- Q A cookie company uses one cup of sugar for every 20 cookies it makes.Let S represent the total number of cups of sugar used, and let N represent the number...
- Q In a national survey conducted by the Centers for Disease Control to determine health riskbehaviors among college students. Asked "How often do you wear a seat belt when driving acar"?...
- Q In a survey people are asked "Which brand of toothpaste do you prefer?" The data gathered from this question would be what type of data?A. categoricalB. quantitativeC. continuous
- Q The point P(1,0) lies on the curve y = sin(107/2).If Q is the point (z, sin(107/2)), find the slope of the secant line PQ (correct to four decimal places) for...
- Q How many flowers, spaced every 6 inches, are needed to surround a circular garden with a 20-foot radius?
- Q A group of friends will go on a weekend camping trip and split the cost of gasequally. The cost that each person will pay for gas is inversely proportional to...
- Q What is the value of the expression below when w =7 and x=6?5w-x
- Q Suppose the function f(t) = et describes the growth of a colony of bacteria, where t is hours. Find the number of bacteria present at 5 hours.A) 59.598B) 148.413C) 79.432D)...
- Q Choose the measurement closest to 50 liters: 14 gal, 140 gal or 50 gal.Choose the correct answer below.140 gal50 gal14 gal
- Q Lily has an account that pays 3.48% simple interest per year and wants to accumulate $4,000 in interest from it over the next 12 years. How much money should Lily...
- Q Choose true or false. Explain your answer.For a dilation, corresponding angles of the image and preimage are congruent.Choose the correct answer below.A. True, because the image and preimage are congruent,...
- Q Michael is mixing two types of candy for a party. The chocolate pieces cost $0.40 per ounce,and the hard candy costs $0.20 per ounce. How many ounces of each type...
- Q Determine the volume and the surface area of the three-dimensional figure.Use the key on your calculator.The volume is 696.91 cm.(Simplify your answer. Type an integer or a decimal rounded to...
- Q Suppose that the manufacturer of a gas clothes dryer has found that, when the unit price is p dollars, the revenue R (in dollars) is R(p) = -4p +12,000p. What...
- Q A local minimum of a function is itsA) largest value of the function over its entire domain.B) smallest value of the function over its entire domain.C) smallest value for a...
- Q Your factory produces lemon-scented widgets. You know that each unit is cheaper, the more you produce. But you also know that costs will eventually go up if you make too...
- Q For the following stirred tank reaction, carry out the following analysis. a. Write an initial value problem for the mass of the substance. b. Solve the initial value problem. A...
- Q A principal of $2700 is invested at 5.5% interest, compounded annually. How many years will it take to accumulate $6000 or more in the account? (Use the calculator provided if...
- Q Barry is going to the movies and wants to buy drinks and candy for his friends. Drinks represent x and drinks are $3 each. Candy represents y, and candy is...
- Q Consider the following implication:"If you drink coffee then you won't be able to sleep."Which of the following is the contrapositive of this statement?If you can't sleep then you drank coffee.If...
- Q The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at the given point.9x + 4xy + 6y + 11y-9=0,(-1,0)(a)...
- Q You are going to the mall with your friends and you have $200 to spend from your recent birthday money. You discover a store that has all jeans for $25...
- Q You are at Pie 5 ordering a one toppling pizza. You have 5 options for the crust, 4 choices for the sauce, 5 options for cheese, and 10 options for...
- Q At a certain zoo, the average mass of one blue whale is measured to be,190000 kilograms. Use scientific notation to express the mass of 60 blue whales.
- Q Which of the following is typically the least important factor to consider when conducting a statisticalanalysis of data?Context of the dataFormula calculationSource of the dataSampling method
- Q 1) Find dy/dx for 2y - 144 = 22 2) Sales, x, of Michael Myers masks and their price, p, are related by p = 20. x 4500 - 5p....
- Q A given line has the equation 10x+2y=-2.What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)?...
- Q Find the difference.- 67x +68x + 25) - (31x + 49) =
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