Basic Math question and answers for June 24, 2024
- Q The expression is given in standard form. Rewrite it in factored form. If it cannot be rewritten in factored form, write "cannot be done."p + 18p-40a (p-20)(p+2)b (p+20)(p+2)c (p+20)(p-2)d (p-20)(p-2)
- Q A long year-end status report for work is 82 pages long. You need to print 19 copies for a meeting next week. How much is the paper going to cost...
- Q Every year in Delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. The equation y = 15...
- Q Brandon is analyzing the profits from two of his restaurant locations. The first location showed a profit of $3,000 in the first week of the year but has a showed...
- Q Alma bought a laptop computer at a store that gave a 20 percent discount off its original price. The total amount she paid to the cashier was p dollars, including...
- Q Complete this expression. Assume that any variables are not equal to zero.z? = Simplify the following expression completely.(5w+2)? =Simplify the following.3? =Simplify the following.0? =
- Q Factor each trinomial. Then match the polynomial (term) on the left with its factored form (definition) on the right.Column A Column B1. x-8x-20 a. Prime2. x+8x-20 b. (x-2)(x+10)3. x -...
- Q The function h defined by h(t) + (49+4.9t) (10-t) models the height, in meters, of an object t seconds after it is dropped from a helicopter.From what height is the...
- Q A car company tested a sports car on a road with different inclines. The test driver tested the car by driving a distance of x miles on a flat road,(x...
- Q Answer the following.(a) The total surface area of Asia is approximately 17,200,000 square miles. Write this number in scientific notation.(b) The signal from a certain satellite takes approximately 4.1 x...
- Q To find the distance AB across a river, a distance BC= 357 meters is laid off on one side of the river. It is found that B=11511' and C =...
- Q Consider the curve given parametrically byx=4-t, y = t - 3t.(a) List all of the points (x, y) where the tangent line is horizontal.(b) List all of the points (x,...
- Q Find the present value of the ordinary annuity.Payments of $40,000 made semiannually for 12 years at 4.2% compounded semiannuallyA. $674,532.00B. $741,616.00C. $751,336.00D. $748,056.18
- Q The half-life of radium-223 is approximately 11.43 days.How much of an 8 gram sample of radium-223 would remain after 3 days? Round to three decimal places.
- Q At the beginning of an experiment, a scientist has 304 grams of radioactive goo. After 180 minutes, her sample has decayed to 19 grams.What is the half-life of the goo...
- Q If the alternator-to-engine drive ratio is 2.35 to 1, what rpm will the alternator have when the engine is idling at 500 rpm? Hint: Use a direct proportion.The alternator will...
- Q Perform the indicated operation. Note that the denominators are the same. Simplify the result, if possible.(x 1 / x - 4x - 5) - (34 -2x / x - 4x...
- Q A man buys a car for $39,000. If the interest rate on the loan is 12%, compounded monthly, and if he wants to make monthly payments of $600 for 60...
- Q Sandi weighs 145 lb, but she has started a new diet plan that promises she will lose 3 lb per month every month until she reaches her goal weight. Write...
- Q Country A has an exponential growth rate of 3.6% per year. The population is currently 4,957,000, and the land area of Country A is 27,000,000,000 square yards. Assuming this growth...
- Q In the first part of the video, Freddie wasposed the problem of having 400 baseballcards and selling 150 cards, and asked howmany cards he had left. He used a standardalgorithm...
- Q Find the prime factorization of 96 using a factor tree.Enter the prime factors you find from smallest to largest separated by the multiplication symbol, e.g.2x2x3 x 5.
- Q The distribution of NBA scores follows approximately a normal distributionwith a mean of 102 and a variance of 81.What is the probability that a team from a randomly chosen game...
- Q An ordered pair (x, ) for which the system of linear equations(1 + a)x+By+ z = 2ax + (1+B)y+z=3ax+By+ 2z = 2has a unique solution, is(a) (2, 4) (b) (-4,...
- Q Based on the following data, what is the quick ratio, rounded to one decimal point?Accounts payable $ 30,000Accounts receivable 60,000Accrued liabilities 5,000Cash 40,000Fixed assets 670,000Intangible assets 50,000Inventory 69,000Long-term investments 80,000Long-term...
- Q Bonds Payable has a balance of $1,000,000 and Discount on Bonds Payable has a balance of $12,500. If the issuing corporation redeems the bonds at 99, what is the amount...
- Q Find the center of mass of the given system of point masses lying on the x-axis.m? = 0.2, m? = 0.3, m3 = 0.4, m4 = 0.1X? = 1, X?...
- Q Which of the following is aprime number?Enter a, b, c, d, or e.a. 211b. 187C. 219d. 183e. 177
- Q Within a company is a (micro)economy that is monitored by the accounting procedures. In terms of the accounts, the various departments "produce" costs, some of which are internal and some...
- Q (1 point) Sylvia is running a marathon. Let D(1) represent the total distance in kilometers she has runt hours after starting. Find a formula for each of the following functions...
- Q Dani had $200 in her savings account. When she turned 18, the bank began charging her a $5.00/month fee. Write a function in terms of a for the balance of...
- Q Green plants absorb sunlight to power photosynthesis, the chemical synthesis of food from water and carbon dioxide. The compound responsible for light absorption and the color of plants, chlorophyll, strongly...
- Q Which of the following is a composite number?Enter a, b, c, d, or e.a. 29b. 37c. 57d. 41e. 31
- Q Decide if you are given enough information to prove that the quadrilateral is a parallelogram for each description below.One pair of opposite sides are congruent.All angles are congruent.One angle is...
- Q Let fix) be defined such that f(-1) = 1 and f'(x) = cos(-1/x2+x), where -2<x<1.Part A: Find the tangent line approximation for f(-0.9).Part B: If f(-0.9) has an actual value...
- Q Fill in the blanks: The goal of an optimization problem is to find the maximum or minimum value of the__ function subject to the__The goal of an optimization problem is...
- Q The equation V = 17.8 +3.8x gives the value (in thousands of dollars) of an investment after a months. Interpret the Slope in this situation.The value of this investment is
- Q Justify whether x + y2 = 3xy has a horizontal tangent at (2, 4). No, because 3y-3x/2y-3x?0 at (2,4)Yes, because 3y-3x/2y-3x=0 at (2,4)Yes, because 3y-3x/2y-3x=0 at (2,4)No, because 3y-3x/2y-3x?0 at...
- Q Find the distance between the points using the following methods.(2,7), (9, 9)(a) the Distance Formula(b) integration
- Q What is the polynomial function in factored form?f(x) = x + 2x - 5x - 6Enter your answer by filling in the boxes.f(x)=
- Q Suppose a student wishes to minimize the objective function on a closed interval, but finds that it has only a single local maximum. Where should the student look for the...
- Q Find the quotient and simplify your answer. If the quotient is undefined, indicate "undefined".0 23/24
- Q Solve the following system of equations.Provide your answer below:x - y= 11-3x + 2y= -3
- Q Determine whether the following statements are true and give an explanation or counterexample.a. The zeroes of f' are - 3, 1, and 4, so the local extrema are located at...
- Q The label on a 20 mL aminophylline vial indicates a strength of 500 mg/20 mL.(a) How many mL of aminophylline would contain 200 mg of this drug?(b) How many mg...
- Q A company's profit in dollars has a function of the number of widgets sold, w, is given by this function: -2w + 120w - 30= P. How many widgets were...
- Q Solve the following logarithmic equation. Express your answer as either an exact expression or a decimal approximation rounded to four decimal places. If there is nosolution, indicate "No Solution ()."In(x-3)...
- Q In the last lesson, you came up with a formula for the tax a couple owed based on their wage income. A similar formula for a single person with taxable...
- Q Suppose that a random sample of 9 adults has a mean score of 80 on a standardized personality test, with a standard deviation of 8. (A higher score indicates a...
- Q A recording studio charges musicians an initial fee of $50 to record an album. Studio time costs an additional $75 per hour.a. Write a linear model that represents the total...
- Q Locate the critical points of the following function. Then use the Second Derivative Test to determine whether they correspond to local maxima, local minima, or neither.f(x) = 2x-6x +2What is...
- Q Sam and Jen had a tax liability of $5,115 last year. They were entitled to tax credits of $119 and withholding amounted to $110 per month. Sam and Jen owed...
- Q Complete the table of values for f(x) = 6x .Complete the table of coordinates.
- Q Sandy and Bill put 2,870 coins into rolls of 50 coins each.How many complete rolls did they make?How many coins were left over?
- Q - If initial velocity of a particle is 40 m/s and it is moving in a straight line under constant retardation 5 m/s. The ratio of displacement in 4 second...
- Q Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 25 liters per minute. There are 700 liters in the...
- Q Jaquan hopes to earn $1500 in interest in 2.9 years time from $120,000 that he has available to invest. To decide if it's feasible to do this by investing in...
- Q Janine has 12 cookies. Mark has three more than half the number of cookiesthat Janine has. Angelo has twice the number of cookies that Mark has.What is the ratio of...
- Q A bank loaned out $31,000, part of it at the rate of 8% annual interest, and the rest at 10% annual interest.The total interest earned for both loans was $2,710.00....
- Q The revenue function is given by R(x) = x p(x) dollars where x is the number of units sold and p(x) is the unit price. Ifp(x) = 49(2), find the...
- Q Estimate 25% of $98.50. Do not give the exact answer use estimation.
- Q Find the intervals on which p is increasing and decreasing.p(z)=z cosz - 2 cos z - 2z sin z on ( ?/2, 5?/2)Select the correct choice below and, if necessary,...
- Q Solve the inequality: -2x+5<8The answer as an inequality:The answer in interval notation:
- Q The Sugar Sweet Company is going to transport its sugar to market. It will cost $6500 to rent trucks plus $250 for each ton of sugar transported. The total cost,...
- Q Tessa has recently inherited $5600, which she wants to deposit into a CD account. She has determined that her two best bets are an account that compounds monthly at an...
- Q Jenny buys a dining table costing $795.95. The store charges $55 for delivery. State taxes are 5.5% and local sales taxes are 1.5%. What is the total purchase price? (Round...
- Q (a) The diameter of Uranus at its equator is approximately 5.11 x 10 kilometers. Write this number in standard notation.(b) An astronomer's infrared telescope is able to detect radiation with...
- Q (a) An astronomer's infrared telescope is able to detect radiation with a wavelength of 7.68 x 10 -4meters. Write this number in standard notation.(b) The diameter of Mars at its...
- Q Sharon works as a sales associate and earns all of her salary in commission. a) Last month, she had sales that totaled $24,000. However, when she received her paycheck, she...
- Q Bubba is saving up money for a down payment on a condominium. He currently has $2535, but knows he can get a loan at a lower interest rate if he...
- Q (a) The signal from a certain satellite takes approximately 0.0078 seconds to reach Earth. Write this number in scientific notation.(b) The total surface area of South America is approximately 6.89...
- Q Solve the inequality: 2x +5 <8The answer as an inequality:The answer in interval notation:The answer on a number line:5
- Q A company finds the demand x, in thousands, for their kites to be x = 400 - p at a price of p dollars. Find the elasticity of demand when...
- Q Chester hopes to earn $1500 in interest in 3.3 years time from $15,000 that he has available to invest. To decide if it's feasible to do this by investing in...
- Q Graph the system below and write its solution.6x-2y=-6y=3x+3
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