Basic Math question and answers for July 26, 2024
- Q Kelly bought 4 shirts and 3 skirts for her doll and paid $11.40 total. After she did a doll fashion show for her best friend, Caitlyn wanted to know how...
- Q The square of a number is equal to 10 less than 7 times that number. What are the two possible solutions?Which of the following equations is used in the process...
- Q Solve for the variable in each of the following equations.Write your answers as whole numbers, proper fractions, Improper fractions, or mixed numbers in simplest form.x + 9 = 14 ...
- Q Find the probability of winning the Jackpot in a lottary if you buy just one ticket. In this lottary, a typical ticket is Formed by selecting 5 different numbers from...
- Q You had the following readings on your water meter:December 1: 7,500 cubic feetJanuary 1: 7,585 cubic feetFebruary 1: 7,671 cubic feetMarch 1: 7,749 cubic feetWhat is the number of cubic...
- Q Cash equivalents by definitiona. are a comparison of cash and liabilities.b. are expected to be converted to cash within three months.c. will be converted to cash within one year.d. are...
- Q Select the correct answer.What is the variable being tested in an experiment?A. control variableB. response variableC. placeboD. explanatory variable
- Q Find the average rate of change of f(x)=2x +2 over each of the following intervals.(a) From 4 to 6(b) From 2 to 4(c) From 2 to 1(a) The average rate...
- Q The thermal plot of a gaming system during play time is defined by 10ln(15t) - 2T+100=T + 10t for 0<t? 5, where t represents time in hours and T represents...
- Q The heat loss of a glass window varies jointly as the window's area and the difference between the outside and inside temperatures. A window 2 feet by 5 feet loses...
- Q Strontium-90 is a radioactive material that decays according to the function A(t) = A e ^-0.0244t, where Ao is the initial amount present and A is the amount present at...
- Q Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each other.f(x)=7x-4 and g(x)= x+7/4a. f(g(x)) =(Simplify your answer. Use integers or fractions...
- Q Using a table of values, what is an approximate solution of the given equation to the nearest quarter of a unit?|x + 3 |= 3x + 1A.x?1.25B.x?-3.75C.x ? -1.75D.x?1.50
- Q Which methods can be used to expand (x+3)?multiply 2 by (2+3), then multiply the product by 3apply patterns from the third row of Pascal's Trianglefind the third power of both...
- Q The weight M of an object on the moon varies directly as its weight E on earth. A person who weighs 157.18 lb on earth weighs 26.72 lb on the...
- Q Let a curve be defined as siny = x + y. Determine which of the following statement(s) is/are true. (1 point)I. The curve has a vertical tangent when cosy -...
- Q Officials begin to release water from a full man-made lake at a rate that would empty the lake in 6 weeks, but a river that can fill the lake in...
- Q A rope from the top of a mast on a sailboat is attached to a point 19 feet from the mast. If the rope is 28 feet long, how tall...
- Q During the past six months, 73.2 percent of U.S. households purchased sugar. Assume that these expenditures are approximately normally distributed with a mean of $8.22 and a standard deviation of...
- Q The Pool Fun Company has learned that, by pricing a newly released Fun Noodle at $3, sales will reach 9000 Fun Noodles per day during the summer. Raising the price...
- Q Company XYZ has 34 employees in the Finance Department, 45 technicians, and 32 in the Engineering Department. The HR Department received 20 complaints from the whole company. There were 5...
- Q A manufacturer of personal computers tests competing brands and finds that the amount of energy they require is normally distributed with a mean of 285 kwh and a standard deviation...
- Q Use the change of base formula to evaluate log12(1/5) to two decimal places and type your answer in the space below. If your answer is between -1 and 1, be...
- Q Assume that a rectangle with sides x and y is expanding with time. Let y=2x and x(t)=3t+1. What is the formula for the rate of change of the area with...
- Q An initial investment amount P, an annual interest rate r, and a time t are given. Find the future value of the investment when interest is compounded (a) annually, (b)monthly,...
- Q The total number of public electric charging units available for hybrid vehicles has increased exponentially since 2006. The number of outlets A(t) at these alternative fueling stations t years after...
- Q Assume that 75% of people are left-handed. If we select 5 people at random, find theprobability of each outcome described below, rounded to four decimal places:a. There are some lefties...
- Q Ordered: Oxacillin sodium 900 mg in 125 mL D5W IV PB to be infused over 45 min, Drop factor: 20 gtt/mL, Flow rate: gtt / min 5.6 gtt / min...
- Q Allison buys a spool of thread for sewing. There are 8 yards of thread on the spool. She uses 2 meters. How much thread is left on the spool in...
- Q Calculate the scaling factor that will adjust the recipe to produce the desired yield. (Round to 2 decimal places). Recipe Yield 12 6-oz crabs Desired Yield 50 2-oz crab cake).Scaling...
- Q The function A(x)= x(x + 10) describes the area A of the opening of a rectangular window in which the length is 10 feet more than the width, x. Find...
- Q Given the final answer in f(x+h)-f(x)/ h(a) 2x + h-2(b) 1(c) 2x +h+2(d) h
- Q Solve the equation.5(x+5)=8x+8-3x+17Select the correct choice below and, if necessary, fill in the answer box that completes your choice.OA. The solution set is { }. (Type an integer or a...
- Q The total numbers of Navy personnel N (in thousands) and Marines personnel M (in thousands) from 2000 through 2007 can be approximated by the modelsN(t)=0.194-7.88+2+12.9t+375 and M(t) = 0.031-0.25t +6.7t+173where...
- Q A rectangle has a width of x centimeters and a length that is 10 centimeters longer than its width. If the total perimeter is 220 centimeters, what is the measure...
- Q Solve the following equation using a graphical method.12x-16-41-7xx=Type an integer or a simplified fraction.)
- Q A town has a population of 14000 and grows at 3.5% every year. What will be thepopulation after 14 years, to the nearest whole number?
- Q The amount of money (in trillions of dollars) that is invested in passively managed mutual funds can be approximated by the function A(x) = 0.35(1.14)*, where x = 1corresponds to...
- Q Suppose an investor deposits $26,000 into a savings account for 6 years at 6.25% interest. Find the total amount of money in the account if the interest is:1. Compounded annually,...
- Q The solution of differential equation y1y3 = 3y2 is (where a, b, c are arbitrary constants & yn denotes nth derivative of y w rt'xO x = ay + by...
- Q Match the items.a. 8?2b. 71c. -15d. 2i?121. ?-492.?-483. ?1284. ?-25 x ?-9
- Q a. Find the linear approximating polynomial for the following function centered at the given point a.b. Find the quadratic approximating polynomial for the following function centered at the given point...
- Q Consider the set of real numbers: {x| -1 < x ?0}.Graph the set of numbers on the real number line.
- Q During the 2005 football season, Team Tackle beat Team Sack by 15 points. If their combined scores totaled 39, find the individual team scores. Team Tackle's score was points.
- Q 12.Identify the hypothesis and conclusion of this conditional statement:If two lines intersect at right angles, then the two lines are perpendicular.a.Hypothesis: The two lines are perpendicular. Conclusion: Two lines...
- Q Each baseball team has nine players and each football team has eleven players. Five schools have both baseball and football teams. Three schools have only a baseball team. How many...
- Q Yesterday, Martina went on a bike ride. Her average speed was 10 miles per hour. Today, she went on another ride, this time averaging 12 miles per hour. In the...
- Q The revenue function R(x) and the cost function C(x) for a particular product are given. These functions are valid only for the specified range of values. Find the number of...
- Q The scale on a set of architectural drawings for a house is 1 3/4 inches - 2 feet. If the master bedroom is 14 feet long, what is its length...
- Q Translate "two less than four times a number is ten" into an equation and solve.4x + 2 = 10; 64x - 2 = 10; -34x - 2 = 10; 6None...
- Q An elevator is constructed using an electric motor at the top which is used to lift the elevator's car via a cable. The cable weighs 6 pounds per foot. The...
- Q You are throwing a party in 4 hours. If it takes 40 minutes to bake 12 cupcakes, how many cupcakes will you be able to finish baking before your party...
- Q The perimeter of a square, p, varies directly as the length of a side, s. The perimeter of a square is 30 when the length of a side is 7.5....
- Q A group of 60 students and 4 sponsors took a field trip to a local museum. For their first guided tour, students were given a choice of 1 of 3...
- Q The number of tickets sold each day for an upcoming performance of Handel's Messiah is given by N(x) = -0.5x + 15x + 14, where x is the number of...
- Q Substitute the given values into the formula, and solve for the unknown variable.A=1/2h(B+b); A=42, B = 4, b=3
- Q y=x + 3y = 15x-33The system of equations shown above is graphed in the xy-plane. If system has two solutions, what is the product of the x-coordinates of the two...
- Q The half-life of radium-222 is approximately 38 seconds.Step 1 of 3: Determine a so that A(t)=A0a^t describes the amount of radium-222 left after t seconds, where Ao is the amount...
- Q Give the equation of the horizontal and vertical lines passing through the point (-1/3,-10).The equation of the horizontal line is:The equation of the vertical line is:
- Q College students take different course loads. Many colleges determine the number of Full-time equivalent' students, F, by using the formula F=15, where n is thetotal number of credits in which...
- Q Write an equation and solve it to find the answer to the question below. Remember to define your variable.Susan is buying three different colors of tiles for her kitchen floor....
- Q Selected Technologies According to recent surveys, 60% of households have personal computers. If a random sample of 152 households is selected, what is the probability that more than 48 but...
- Q Is the line through points P(0, -9) and Q(2, -8) perpendicular to the line through points R(1, 4) and S(3, 3)? Explain.a. Yes; their slopes are equal.c. No; their slopes...
- Q An preimage mapped to its prime image maps to (x, y) ? (3x, 3y). The prime image is mapped to the double prime image to (x, y) ? (x+1, y-4)....
- Q A jet plane has 180,000 pounds of fuel after the first hour of flight. The four engines consume a total of 15,000 pounds per hour at its cruising altitude. How...
- Q What is the solution to the equation?1/2 In (x+17) = ln (x - 9) - ln (x+3)x=8 onlyx-1 and x = 8x=1 onlyx= -8 and x = 1
- Q A club swimming pool is 18 ft wide and 34 ft long. The club members want an exposed aggregate border in a strip of uniform width around the pool. They...
- Q Suppose that the dollar value v (1) of a certain house that is f years old is given by the following exponential function.v (t)=559,900(0.91)tFind the initial value of the house.$Does...
- Q A loan of $14,000 is made at 8.5% interest, compounded annually. After how many years will the amount due reach $41,000 or more? (Use the calculator provided if necessary.)Write the...
- Q Omar paid $13.29 for a 7.03-kg bag of dog food. A few weeks later, he paid $13.58 for a 7.26-kg bag at a different store.Find the unit price for each...
- Q 1. Find only the area of the shape below. Round your answer according to theguidelines. Include units in your answer.
- Q Which of the following statements is (are) true for all positive integers?1) n3+2n is divisible by 3.2) 5^2n- 1 is divisible by 24.Both statements are true.None of the statements are...
- Q Given the graph of the Logarithmic Function g(x) = log4 x: The graph of the function f(x) = log4 (x-6) can be obtained from the graph of g(x) = log4...
- Q AB is a chord of the parabola y = 4ax. If its equation is y = mx + c and it subtends a right angle at the vertex of the...
- Q Suppose a product's revenue function is given by R(q)=8q2 + 900q, where R(q) is in dollars and q is units sold.Find a numeric value for the marginal revenue at 26...
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