Basic Math question and answers for July 27, 2024
- Q Compute the total and annual returns on the described investment. Four years after buying 100 shares of XYZ stock for $70 per share, you sell the stock for $10,900.The total...
- Q Surveyors counted the number of trees is a popular city park. There were 62 spruce trees, 44 firs, 12 oaks, and 2 maples. What is the theoretical probability that a...
- Q A water tank that holds 60 L of water can be emptied in 24 min. How long will it take to empty a water tank that holds 280 L of...
- Q What's the circumference of a circle with a radius of 5 inches?Use 3.14 for I.
- Q If the rate of inflation is 2.8% per year, the future price p (t) (in dollars) of a certain item can be modeled by the following exponential function, where t...
- Q Consider the Quadratic function f(x) = x-3x - 40. Its vertex is Its largest x-intercept is x = Its y-intercept is y =
- Q In how many ways can the expression a5b5c5 be rewritten as a product without exponents?The number of ways a5b5c5 can be written without exponents is ___
- Q The original 24 medige length x of a cube decreases at the rate of 3 m/min. a. When x=3 m, at what rate does the cube's surface area change? b....
- Q Raise the number to the indicated power and express in trigonometric notation. [3(cos 27+ i sin 27)] 4 81(4cos 27+ i 4sin 2?) 03(cos/271 + 1 sin = 17) 81(cos...
- Q Brendon Walsh wants to borrow $30,000 from the bank. The interest rate is 6% and the term is for 5 years.What is the yearly payment amount?$1,800$7800$18,000$3600
- Q What is the simplest form of ?24 ? 8None of the choices are correct.3?22?312
- Q Factor the following, where n is a positive integer.6? - 2b? +1
- Q Shannon is paid a monthly salary of $1025.02. The regular workweek is 35 hours.(a) What is Shannon's hourly rate of pay?(b) What is Shannon's gross pay if she worked 7(3/4)...
- Q Subtract the following polynomials. Simplify your answer.(2x + 2x + 3) - (-4+ 2x 2x 3x)Provide your answer below:
- Q What is the simplest form of 3?2 + 5?2 ?(Do NOT approximate your answer)30168?2None of the choices are correct.30?2
- Q A piece of wire 19 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (Round your...
- Q Fred and Wilma purchase a new home for $180,000. The value of the home increases by 4% every 2 years. Determine the value of the home after 23 years.After 23...
- Q Match the volume of the pyramid to the volume of the prism with the same height and base area.
- Q The government conducted a study and collected the given data. Use the data to answer the following questions.Speed (mph) 45 55 ...
- Q On average the number of drum sets sold in Texas each year is equivalent to five times the average number sold yearly in Montana. If, on average, there are 46,625drum...
- Q Given the equation, y = 3(0.87)^x, where y is the amount of money in thousands in x years, describe what is happening?o The amount of money is decreasing at a...
- Q Suppose you have the following functions.f(x) = ?(x+2) +1g(x) = x 3x + 1Which of the following is an approximate solution for f(x) = g(x)?a. x = -1.821, x =...
- Q Given the equation, y = 3(0.87)? , where y is the amount of money in thousands in x years, describe what is happening?(1) The amount of money is decreasing at...
- Q Solve for x: 4+ 5log3 (x + 6) = 8Round your answer to 3 decimal places.-3.592no solution-3.3458.408
- Q The 80% confidence interval for the proportion of students who drink coffee daily is (0.27, 0.50). What point estimate was used to construct the confidence interval?a)0.115b)0.400c)0.385d)0.770
- Q 3) A fan of trigonometry is building a right triangular pool inhis backyard. The hypotenuse of the right triangle is 30 feetlong and the height of the right triangle is...
- Q At the beginning of an experiment, a scientist has 244 grams of radioactive goo. After 105 minutes, her sample has decayed to 7.625 grams. What is the half-life of the...
- Q In many cases the Law of Sines works perfectly well and returns the correct missing values in a non-right triangle. However, in some cases the Law of Sines returns two...
- Q An asymptote is a line that the the graph of a function will get closer and closer to, but never reach.a) Trueb) False
- Q Graph the equation. Let x= -3, -2, -1, 0, 1, 2, and 3.y=2x+2x y-3
- Q A bacterial population doubles every 4 months. If there were originally 2000 cells in the sample, how many will there be in 2 months?a) 512 000b) 2828c) 2519d) 8000
- Q Use the critical value method to solve the rational inequality. Write the solution set in interval notation.x-9/x+8 ?5
- Q Graph the equation y = -5|x|. Let x = -3, -2, 1, 0, 1, 2, and 3. Find the following y -values. Then choose the correct graph of the equation...
- Q Solve the equation. Check your solution(s).3x/4 - 14 = 67a)x = 9x = 3(81) /4b)x = 81c)no real solutiond)x = 81
- Q In a village there is a farmer, carpenter, and a tailor, who provide the three essential services: food, shelter, and clothing. Suppose the farmer himself consumes 40% of the food...
- Q If Solution A has a pH of 5.0 and Solution B has a pH of 3.0, which statement below is true?a) Solution A is twice as acidicb) Solution B is...
- Q Solve the equation. Check your solution(s).?6x+1=x-9a) X = 4b) x = 4 and x = 20c) x = 20d) x = -4 and x = -20
- Q Solve the equation.2/3x+1/5x-1/4=4/5xThe solution is x =(Type an integer or a simplified fraction.)
- Q We are now going to work with Conditional Probability with Percentages. We will use the information from question 1. This time you will take the number of men divided by...
- Q Simplify the expression.4?2+?2a 10b 5?2c 5??2d 5?4
- Q Chase had $100 in his wallet. He spent $5.56 on lunch one day and $1.75 on coffee a few mornings a week. Write and solve an inequality to determine how...
- Q A man bought a length of rope at the hardware store. He used one-third of it to make a bow painter (a rope located at the front of the canoe)...
- Q At a track-and-field meet, the winner of the pole vault event cleared a height of 3.25 meters. This was 0.1 meters more than the height cleared by the second-place pole-...
- Q Samuel invested $28,000 in an account paying an interest rate of 5% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be...
- Q Which property is demonstrated by the following equation?(12+8) + 11 = 12 + (8 +11)Select the correct answer below:CommutativeDistributiveIdentityInverseAssociative
- Q Valerie is deciding on her schedule for next semester. She must take each of the following classes: English 102, Music 101, History 102, and Math 120. If there are 15...
- Q How much material would be needed for the rungs of a ladder of 30 rungs, if the rungs taper uniformly from 20 inches to 30 inches?inches of material would be...
- Q A particle moves in a straight line and has velocity given by v(t) = -6t + 7t-2 m/s. Its initial displacement is s(0) = 4 m.Find its position function s(t).Provide...
- Q Neglecting air resistance, the distance s(t) in feet traveled by a freely falling object is given by the function s(t)=16t2, where t is time in seconds. The height of a...
- Q Officer James has noticed a strong positive correlation between the speed of the vehicles on Main Street and the number of accidents. In order to determine if the speed is...
- Q It takes Doug 7 minutes to fill a bucket of blueberries and Nathan 10 minutes to fill the same size bucket. How long will it take them to fill 8...
- Q Suppose that $2900 is borrowed for four years at an interest rate of 9% per year, compounded continuously. Find the amount owed, assuming no payments are made until the end.Do...
- Q At a particular restaurant, each onion ring has 40 calories and each mini hotdog has 80 calories. A combination meal with onion rings and mini hotdogs has a total of...
- Q 9. The time required to deliver and install a computer at a customer's location is t = 4+, where t is time in hours, d is the distance, in miles,...
- Q The exponential model A=363.1 e 0.027t describes the population, A, of a country in millions, t years after 2003. Use the model to determine when the population of the country...
- Q A high times interest earned ratio indicatesa. no protection in the event of an earnings decline.b. mediocre protection in the event of an earnings decline.c. extremely good protection in the...
- Q (a) Estimate the area under the graph of f(x) = 1 + x from x= -1 to x 2 using three rectangles and right endpoints. Then improve your estimate by...
- Q 8. There are 9 red, 6 blue, and 5 green marbles in a bag.a. How many marbles are in the bag?b. What is the probability a marble chosen at random...
- Q Which of the following represents the explicit formula for the Arithmetic Sequence?-33, -29, -25, -21, ....Hint: a? = -33, so when n = 1, a? = -33.... Find the formula...
- Q A certain loan program offers an interest rate of 2.5%, compounded continuously. Assuming no payments are made, how much would be owed after six years on a loan of $1300?Do...
- Q If $2000 is invested at 6% compounded continuously, what is the amount after 8 years?The amount after 8 years will be $
- Q The average yearly salary of a lawyer is $33 thousand less than twice that of an architect. Combined, an architect and a lawyer earn $210 thousand. Find the average yearly...
- Q There are 3 balls in a hat; one with the number 2 on it, one with the number 6 on it, and one with the number 8 on it. You...
- Q Find all complex zeros of the polynomial function. Give exact values. List multiple zeros as necessaryf(x)=x4-9x-15x +325x-750
- Q A company's lawn seed mixtures contain three types of seeds: bluegrass, rye, and Bermuda. The costs per pound of the three types are 13 cents, 18 cents, and 7 cents,...
- Q Suppose that $5500 is placed in an account that pays 19% interest compounded each year.Assume that no withdrawals are made from the account.Follow the instructions below. Do not do any...
- Q A restaurant has an annual demand for 909 bottles of California wine. It costs $3 to store 1 bottle for 1 year, and it costs $10 to place a reorder....
- Q Inventory Control Jesaki Publishing sells 50,000 copies of a certain book each year. It costs the company $1 to store a book for one year. Each time that they print...
- Q Homes An exponential model describing number of homes in a growing suburban community since 1980 is Homes = 350(1.08 Year).a) How many homes were there in 1980?b) What's the growth...
- Q If a building contractor hires 8 day laborers and 1 concrete finisher, his payroll for the day is $1278. If he hires 1 day laborer and 4 concrete finishers, his...
- Q Which are equivalent expressions?Check all that are true.7a - 14b = -7(-a + 2b)7a+14b = 7(a + 2b)47a+ 14b = 7a 14b7a - 14b = 7a /14b7a- 14b = 7(2ab)
- Q Which of the following examples could correctly show the mean density of lunar soil?3.24 cubic centimeter3.24 grams per square centimeter3.24 cubic centimeter per gram3.24 grams per cubic centimeter
- Q Fill in each blank with the appropriate equation. (Select all that apply.)The two notations for the inverse of y= sin x are__and___y = arcsin xy = sin- xy =csc xy=1/sin...
- Q Suppose a product's revenue function is given by R(q) = 7q + 300qFind an expression for the marginal revenue function, simplify it, and record your result in the box below....
- Q The length of time Joe takes to get to work varies inversely as the speed he travels. If he jogs at 6.6 feet per second it takes him 75 minutes...
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