Basic Math question and answers for June 23, 2024
- Q Consider the following.e5 - 3x = 15(a) Find the exact solution of the exponential equation in terms of logarithms.(b) Use a calculator to find an approximation to the solution rounded...
- Q Solve the given equation or inequality graphically.(a) x= 6 - 7x (Enter your answers as a comma-separated list.)(b) -x ? 6-7x (Enter your answer using interval notation.)
- Q This exercise uses Newton's Law of Cooling.Newton's Law of Cooling is used in homicide investigations to determine the time of death. The normal body temperature is 98.6F. Imme of the...
- Q Match the definitions in Column A with the correct words/terms in Column B. Writeyour answers on a separate sheet of paper.Column A1.Statement that can either be written "If..., then form2....
- Q Fill in the table using this function rule.f(x)=2?xSimplify your answers as much as possible.Click "Not a real number" if applicable.
- Q A group of first ten shoppers in TownMall have the following bodytemperature in Degree Celsius: 36.0,36.2, 37, 35.9, 37, 36.2, 37.2, 36.0,36.2 and 36.4.What is the percentile rank of theshopper...
- Q A rocket is fired upward with a velocity (v) of 680 feet per second. Find how many seconds pass before the rocket reaches the ground (S=0) again. Use the quadratic...
- Q Fill in the table using this function rule.f(x)=?x+2Simplify your answers as much as possible.Click "Not a real number" if applicable.
- Q From her camp, a hiker walks 550 meters north, then 425 meters southeast. How far, in meters, from the camp is the hiker?Select the correct answer below:390.58550.00695.07975.00STION
- Q If f(x) = 3x + 2x, find each of the following.(a) f(0) (b) f(-3) (c) f(2)(a) f(0) = (Simplify your answer.)(b) f(-3)=(Simplify your answer.)(c) f(2)=(Simplify your answer.)
- Q Marco has joined a bowling league, and is trying to raise his average to 170. On his last four games he scored 164, 170, 165, and 171. How much will...
- Q Express the confidence interval using the indicated format.Express the confidence interval 0.469 0.077 in the form of - E<p <+E.0.4305< p <0.50750.392 < p < 0.4690.469 <p <0.5460.392<p <0.546
- Q If an object is dropped, the relationship between the distance it falls and the time that it has been falling is given by:d = 1/2 gt2where:d is the distance the...
- Q Suppose you were asked to solve the following two problems on a test.(a) Find the remainder when 6x1000-12x562 + 15x + 25 is divided by x + 1.(b) Is x...
- Q The Coconut Delight Bakery can produce 500 coconut tartsin a weekat a total cost of $2000 and 700 coconut tarts at a cost of$2500.What is the weekly fixed cost in...
- Q Compute the discriminant of 8x - 6x - 6 = 0.The discriminant is:How many real solutions does the equation, 8x2 - 6x - 6 = 0, have?No real solutionOne real...
- Q A plane is 115 mi north and 176 mi east of an airport. Find x, the angle the pilot should turn in order to fly directly to the airport. Round...
- Q If P dollars is invested in an account that earns interest at 7% compounded annually, the amount available after t years is A = P(1 +0.07). How many years will...
- Q The formula for the braking distance of a car is:d =V/2g(f+ G)where:d is the braking distance (in feet)V is the initial velocity of the car (in feet per second)G is...
- Q Find the interest rate to the nearest hundredth of a percent that will produce $2000, if $1500 is left at interest compounded quarterly for 4.5 yr. Use the formula A=P...
- Q Suppose that you are grading a classmate's work on a compound interest problem, shown below. If there is amistake, select the step where the mistake was made. If there is...
- Q In a class, having more number of girls than boys,students were given a task of collecting flowers.Each boy collected 5 flowers whereas each girlcollected 3 flowers. If a total of...
- Q Landon went to the store to buy a new TV.The sales clerk asked "How large is your current TV?".Landon replied "It is 37 inches wide and 21 inches tall".The sales...
- Q Use the multiplication principle to solve. An auto manufacturer produces 8 models, each available in 9 different colors, with 6 different upholstery fabrics and 7 interior colors. How many varieties...
- Q The height of a trapezoid is 15 feet and the two bases are 10 and 11 feet. Find the area of the trapezoid.
- Q Find the distance between the points (-10, -9) and (-2,-2).
- Q Use A=(5, 6, 7, 8, 9) and B={1, 3, 7, 8) to find the set A?B.A?B=(Use a comma to separate answers as needed.)
- Q In response to rising concerns about identity theft, the number of models of paper shredders a company manufactures increased approximately steadily from 5 models in 1997 to 37 models in...
- Q Jerome is planning on tiling his bathroom floor with square tiles measuring 8 inches on each side. The bathroom measures 13 feet by 15 feet.a) What is the area of...
- Q The value of a machine, V, at the end of t years is given by V = C(1-r)', where C is the original cost and r is the rate of...
- Q The hotness of chili peppers is usually measured in Scoville units. Using a log scale for Scoville units works well to compare the heat of peppers.a) A Jamaican Hot Pepper...
- Q A student has a credit card that is only used for school expenses. Their fall tuition was $1295, and the costof books was $100. Both of these are put onto...
- Q The population of foxes in a certain region over a 2-year period is estimated to beP?(t) = 300 + 60 sin(?t/12)in month t, and the population of rabbits in the...
- Q Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as...
- Q The formula for changing Celsius (C) temperature to Fahrenheit (F) temperature is F = 1.8C + 32. Tothe nearest degree, what is the Fahrenheit temperature when the Celsius temperature is...
- Q Emilio buys a sofa for a total purchase price of $1,309.79. State taxes were 4.4%. What is the sales tax amount for his purchase? (Round your answer to the nearest...
- Q Randy buys a lawn tractor costing $975.90. The store charges $35 for assembly and $30 for delivery. State taxes are 4% and local sales taxes are 3%. What is the...
- Q Aliza had a tax liability of $6,218 last year. She was entitled to tax credits of $748 and withholding amounted to $540 per month. Aliza owed other taxes of $606....
- Q Find the distance between the points (2, 9) and (-10, 1).Hint: Use the Pythagorean theorem.
- Q Aaron's dad has a pickup truck and his mom has an SUV. Last week, his dad traveled 84 miles in the pickup truck on 4 gallons of gas. His mom...
- Q Jeremy has a total of $25 in dimes and nickels. He has 4 more dimes than nickels.Which system of equations can be used to determine the number of dimes, d,...
- Q Water is passed through a pipe containing porous material to filter out pollutants. Each inch of pipe removes 50% of the pollutant entering.(a) True or false: The first inch of...
- Q Isosceles trapezoid ABCD with AB || CD has m (<A) = m (<B) = 60, small base CD = 12 cm and non-parallel side BC = 24 cm. Find the...
- Q Bernie and LuLu are selling fruit for a local fundraiser. Customers can buy boxes of apples or boxes of oranges. Bernie sold 7 boxes of apples and 7 boxes of...
- Q Solve the equation 0.05e^-0.344t = 0.15 using natural logs.NOTE: Enter the exact answer.t =
- Q Yolanda owns some property that has an assessed value of $59,928. Find the tax due if the tax rate is 8.33% of the assessed value. (Round your answer to the...
- Q Amy and Derek are married and filing jointly. Their taxable income is $36,847. Use the Tax Table, Exhibit 18-3 from your text to find the tax liability. $4,040.64 $4,149.64 $4,231.14...
- Q A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard...
- Q Terrance hopes to earn $600 in interest in 4.9 years time from $30,000 that he has available to invest. To decide if it's feasible to do this by investing in...
- Q A single fair die is tossed. Find the probability of rolling a number greater than 4.What is the total number of possible outcomes?What is the number of outcomes greater than...
- Q If sin (?) = 15/25 and ? is in Quadrant II, then what is sin(?/2) ? your answer completely and rationalize the denominator.
- Q The atmospheric pressure, p, in pascals, on a weather balloon decreases with increasingheight. This pressure, measured in millimeters of mercury, is related to the number ofkilometers, h, above sea level...
- Q 15.Suppose that you invest $2,500 in an account that makes 3% annual interest compounded monthly. Use the formula A = P(1+r)^nt to answer the following questions.a) How much money will...
- Q Video Games How many different ways can 10 different video game cartridges be arranged on ashelf?
- Q Suppose you bought speakers for a total purchase price of $598.36. If state taxes were 5.65%, what was the amount of the sales tax? (Round your answer to the nearest...
- Q 2014 Top Albums (Based on U.S. sales) Of all of the U.S. album sales, album 1 accounted for 25% of sales, album 2 accounted for 25.2 % of sales, and...
- Q A sample of 20 elements produced a mean of 91.4 and a standard deviation of 11.16. Assuming that the population has a normal distribution, the 90% confidence interval for the...
- Q In a random sample of 53 items produced by a machine, the quality control staff found 5 of them to be defective. Calculate the point estimate of the population proportion...
- Q Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will payher $5 per hour to babysit and her Father gave her $10 for mowing the...
- Q Current Attempt in ProgressEvaluate e ln11 - In e7 without a calculator, or say if the expression is undefined.If the expression is undefined enter NA, otherwise enter the exact answer.
- Q You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you believe the population standard deviation is approximately o...
- Q Algebraically solve the following system of equations. There are two variables that can be readily eliminated, but your answers will be the same no matter which you eliminate first.2x+5y-z =...
- Q Compute the upper Riemann sum for the given function f(x) = 5-x over the interval x = [0, 1] with respect to the partition P = [ 0,1/4,3/4,1]
- Q Assume that random guesses are made for 8 multiple choice questions on a test with 5 choices for each question, so that there are n-8 trials, each with probability of...
- Q Factor completely.2x - 12x - 144prime (not factorable)(2x ? 12) (x + 12)2 (x - 72) (x + 1)2 (x - 12) (x + 6)
- Q Write the algebraic expressions described by the following English phrases. Use the variable name "x" to describe the unknown.1. a number less than six2. a number less six
- Q While shopping, Edna noticed that three different pancake mixes indicated that they were the best value for the price. She also noticed that all three packages cost the same amount....
- Q Triangle ABC is congruent to triangle XYZ. In ?ABC, AB 12 cm and AC 14 cm. In ?XYZ, YZ 10 cm and XZ = 14cm.What is the perimeter of ?ABC?36...
- Q A certificate of deposit is worth P(1 + r)^2 dollars after years, where r is the annual interest rate expressed as a decimal, and P is the amount initially deposited....
- Q Use the quadratic formula to solve the equation. Be sure to simplify your answers. Enter both answers separated by a comma.x - 8x + 10 = 0For example, if x...
- Q Hattle has recently inherited $8100, which she wants to deposit into an IRA account. She has determined that her two best bets are an account that compounds quarterly at an...
- Q 11) Jeff owns a watch repair shop. He has found that the cost of operating his shop is given by C (x) = 2x - 108x+87, where C(x) is the...
- Q Divide.300?3619Select the correct choice below and fill in any answer boxes in your choice.A. The quotient isB. The quotient isC. The quotient is undefined.
- Q A graphics designer is designing an advertising brochure for an art show. Each page of the brochure is rectangular with an area of 72 in and a perimeter of 34...
- Q You own a home that was recently appraised for $390,000. The balance on your existing mortgage is $125,450. If your bank is willing to loan up to 70% of the...
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