Basic Math question and answers for June 16, 2024
- Q A particle moves according to the law of motions = t - 8t2 + 3t, t ? 0,where t is measured in seconds and s in feet.(a) Find the average...
- Q After a baby was born, he began to gain weight at a rate of 1.5 pounds per month. The weight of the baby at birth was 10 pounds. Write an...
- Q A gray crayon is made with 5 mL of black wax for every 6 mL of white wax.Which of the following wax mixtures will create the same shade of gray?Choose...
- Q If a single pane of glass obliterates 2% of the light passing through it, the percent p of light that passes through n successive panes is given approximately by the...
- Q Sketch the graph of a function f that satisfies all of the following properties. Indicate all asymptotes.(a) f(x) is defined for all real numbers except x = 1.(b) f(x) is...
- Q A rectangular parking lot has a length that is 6 yards greater than the width. The area of the parking lot is 160 square yards. Find the length and the...
- Q Henry made a shirt using 1/3 yards of red fabric and 3/4 yards of blue fabric. How many more yards of blue fabric did Henry use?Write your answer as a...
- Q A lunar module weighs 12 tons on the surface of the Earth. How much work is done in propelling the module from the surface of the moon to a height...
- Q {(-9, 3), (5, -6), (3, -9), (-6, 5), ?}Which ordered pair can replace the missing value and create a function?(5,3) (9,3) (-6,-9) (-9,-6)
- Q Graph the following quadratic function.f(x)=x-9Find the vertex of the function.The vertex is(Simplify your answer. Type an ordered pair.)
- Q The local bakery requires that Josh must spend at least $7 to be able to pay using a credit card. Cookies cost $2.10 each. A bottle of water costs $1.10....
- Q A car has a 16-gallon fuel tank. When driven on a highway, it has a gas mileage of30 miles per gallon. The gas mileage (also called "fuel efficiency") tells us...
- Q Lottery Prizes A lottery offers one $800 prize, two $500 prizes, two $400 prizes, and five $200 prizes. One thousand tickets are sold at $7 each. Find the expectation if...
- Q Find the real solutions of the following equation.x4-17x +16=0Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The solution set is(Use a...
- Q Multiple Choice Which is not a possible classification of the zeros off(x) = x4 + 2x-7x - 7x + 3 according to Descartes' rule of signs?A. 2 positive real zeros,...
- Q The average tuition, fees, and room and board rates charged per year for full-time students at a certain college is approximated by the polynomial C= 5x2 +38x+2876 for the years...
- Q An object moves along a coordinate line, its position at each time t? 0 is given by x(t) = (t - 2 t) (t + 2 t). Find the acceleration...
- Q Find the zeros of the polynomial function and state the multiplicity of each.f(x) = ? 5(x - 1)4(x + 5)xThe zero 1 has multiplicityis a zero of multiplicity 2.The remaining...
- Q Find the slope m and y-intercept b. (If an answer is undefined, enter UNDEFINED. If an answer does not exist, enter DNE.)y = 7
- Q Suppose that from 2020 to 2060, the number of females in the U.S. under the age of 18, in millions, can be modeled byN=0.150x + 36.4where x is the number...
- Q A Food Marketing Institute found that 27% of households spend more than $125 a week on groceries. Assume the population proportion is 0.27 and a simple random sample of 391...
- Q inches is rated at R-11 and 6 inches is rated at R-19. Assuming that this relationship is linear,The R-value of insulation is a measure of its ability to resist heat...
- Q A fair coin is flipped 13 times. Find the probability that more than 5 of the flips turn up tails.0.7576360.7094730.6838470.5731940.7340940.657303
- Q Leticia manages a company whose total weekly revenue is R(q) = 240q - 0.04q dollars when q units are produced and sold. Currently, the company produces and sells 60 units...
- Q For 1998 through 2005, the sales S (in billions of dollars) of sporting goods can be modeled by S = 0.007 + 0.1t + 1.4x + 70 where t is...
- Q A particle is moving along the parabola x = 4 (y + 3). As the particle passes through the point (8, 13), the rate of change of its y-coordinate is...
- Q Grocery Store Revenue For the 25 years that a grocery store has been open, its annual revenue R (in millions of dollars) can be modeled byR= 1/10,000 (-t4 + 12t...
- Q Two cities are 1800 km apart and lie on the same north-south line. The latitude of the northernmost city is 84 N. What is the latitude of the other city?...
- Q Jessie recently drove to visit her parents who live 540 miles away. On her way there her average speed was 21 miles per hour faster than on her way home...
- Q In a neighborhood 8/20 of the homes have waterfront views of a lake. What percentage is equivalent to the portion of homes that have a waterfront view of the lake?
- Q The depth of the water in a water tank changes every time someone in the Harrison family takes a bath or does laundry. A bath lowers the water level by...
- Q Fuel Consumption From 1995 to 2002, the total fuel consumption 7 (in billions of gallons) by cars in the United States and the U.S. population P (in millions) can be...
- Q A cellular network transmits its signals in a circular pattern. If the tower is considered the origin, (0,0), of the signal and a house, is located on the edge of...
- Q Violet was given a box of assorted chocolates for her birthday. Each night, Violet treated herself to some chocolates. Violet ate 4 chocolates each night and there were originally 24...
- Q In ?MNO, MO is extended through point O to point P,m?MNO: - (3x + 11), m?OMN = (2x +20), andm?NOP = (8x - 5). What is the value of a?
- Q Noah is helping to collect the entry fees at his school's sports game. Student entry costs $2.75 each and adult entry costs $5.25 each. At the end of the game,...
- Q Find the real solutions of the following equation.x4 - 41x + 400 = 0Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A....
- Q Find the derivative of the trigonometric function.g(x) = 4 tan(6x)g'(x) =
- Q Victoria is going to use a computer at an internet cafe. The cafe charges an initial fee to use the computer and then an additional price per minute of usage....
- Q Suppose that you follow a population over time. When you plot your data on a semilog plot (using logs with base 10), a straight line with slope 0.18 results. Furthermore,...
- Q For problems 5-7, solve each triangle by finding the measure of all the unknown angles and sides. Use degrees for angle measurements and round all answers to the nearest whole...
- Q A tank is being filled with a liquid. L (t), given below, is the amount of liquid in liters in the tank after 1 minutes.L(t)=1.25t+61Complete the following statements.
- Q A plumbing company charges $50 for the first hour of a service call and $30 per hour for each hour or part of an hour that a job requires after...
- Q Find the area of the region in the first quadrant bounded by the line y=5x, the line x = 5, the curve y=5/x2 and the x-axis.
- Q The U.S. Senate has 100 members. After a certain election, there were 18 more Democrats than Republicans, with no other parties represented. How many members of each party were there...
- Q Select the values that make the inequality -2w ?-22 true. Then write an equivalent inequality, in terms of w.(Numbers written in order from least to greatest going across.)
- Q The 8th grade fundraiser gives away a prize for the student who guesses the number of bubble gum balls in a jar shaped like a cube. Al decides to count...
- Q A line passes through point (4, 2) and has a slope of -3/2Write an equation in Ax+By=C form for this line.Use integers for A, B, and C.
- Q You are trying to decide whether to pay $120 for a season pass to an amusement park. If you buy the pass, you get an unlimited number of visits to...
- Q The scores of adults on an IQ test are approximately Normal with mean 100 and standard deviation 15. Find the top 2% of the scores.a. Find the z-value for the...
- Q Mark flew from Boston to Baltimore, then Baltimore to Orlando. The number of people on his first flight was five more than four times the number of people on his...
- Q Ariel has a plastic ice cream cone in her food playset. The ice cream cone is a half-sphere sitting on top of a cone. What is the approximate volume of...
- Q Convert this rational number to its decimal form and round to the nearest thousandth. 1/7 =
- Q A principal of $4400 is invested at 7.5% interest, compounded annually. How much will the investment be worth after 7 years?
- Q A rectangle is inscribed in a circle of radius 4 inches. If the length of the rectangle is decreasing at the rate of 2 inches per second, how fast is...
- Q Steve was offered $5,025 per year for a weekend lifeguarding job at a local pool. He wants to know how much his monthly income will be at this salary level....
- Q There are 32 people in your math class and the classroom size is 22 feet long and 31 feet wide. How many square feet does each person get?Round your answer...
- Q A boat traveled 210 miles downstream and back. The trip downstream took 10 hours. The trip back took 70 hours. What is the speed of the boat in still water?...
- Q The Ward family and the Martinez family each used their sprinkders last summer. The water output rate for the Ward family's sprinkler was 15 L per hour. The water output...
- Q Sales at a local ice cream shop went up 20% in 5 years. If 18,000 ice cream cones were sold in the current year, find the number of ice cream...
- Q A CB radio is rated at 7.5 watts, and actual measurements show that it delivers 5.4 watts to its antenna. What is its efficiencThe efficiency is %.(Type a whole number...
- Q Maya and Sally were the two finalists in a singing competition. The person with the most votes from the audience was chosen as the winner. Sally received 25% of the...
- Q The daily expenses for each of a transportation service company's trucks is given by the function dx) = 15 +0.5x, where d(x) is the daily expense per truck (in dollars)...
- Q A physics class has 50 students. Of these, 17 students are physics majors and 16 students are female. Of the physics majors, five are female. Find the probability that a...
- Q In North Texas there was .65 inches of snowfall overnight. Write a simplified form that represents .65 inches of snowfall.
- Q A ceiling fan can rotate 150.5 times per minute. The fan rotated a total of 2,426.06 times. Which of the following is true?A. The fan rotated for 17.12 minutes.B. The...
- Q Solve the equations 2x + 3y = 1 and x - y = -9.
- Q 5 x 863 = ?
- Q .Maggie spent $4.05 on cheese and fruit at the farmer's market. She bought 1/8 pound of apples, 1/4 pound of pears, and 1.25 pounds of bananas. If fruit cost $0.80...
- Q Where do the lines y = 3x + 4 and 2y = x - 4 cross?
- Q Joan built a table to sell. She wanted to sell it for $48 but her dad said she should sell it for less. So she decided to mark down the...
- Q p(x) is the unit price at which all x units will be sold. Assume p(x) is in dollars. Use marginal revenue to estimate the revenue derived from the sale of...
- Q A 52-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away from the wall at the rate of 3 feet per second,...
- Q Intersection points Use algebraic methods to find as many intersection points of the following curves as possible. Use graphical methods to identify the remaining intersection points.29. r=2 cos? and r=...
- Q Based on a survey, assume that 44% of consumers are comfortable having drones deliver their purchases Suppose we want to find the probability that when four consumers are randomly selected,...
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