Basic Math question and answers for August 13, 2024
- Q The board of directors for Procter and Gamble is concerned that only 19% of the people who use toothpaste buy Crest toothpaste. A marketing director suggests that the company invest...
- Q It is false that cats are lazy or dogs are not friendly. (Hint: Use DeMorgan's laws.)A. Cats are not lazy or dogs are friendly.B. Cats are not lazy or dogs...
- Q What is the image of (4, -8) after a dilation by a scale factor of 1/4 centered at the origin?
- Q A system of linear inequalities is used to represent restrictions, oron a function that must be maximized or minimized.
- Q Which of the following is the best definition of the domain of a relation?A. The set of all allowable output values, or x-valuesB. The set of all allowable input values,...
- Q A charity is hosting a benefit dinner. They are asking for $75 per table plus $35 per person. Martha is buying tickets for her friends and does not want to...
- Q Let X = {a,b,c,13,14,15) and Y = {b,d,f, 13,15,17}.List the members of the set XUY, using set braces.XUY=
- Q Let U = {a,b,c,d,e,f, 19,20,21,22,23,24}, X = {a,b,c,21,22,23), and Y = {b,d,f,20,22,24).List the members of the set X'nY', using set braces.
- Q Let U = {20, 21, 22, 23, 24, 25, 26},A = { 23, 24, 25, 26}.Use the roster method to write the set A'.A' = {(Use a comma to separate...
- Q Find the number of subsets for the following set.{F,G,H,I,J}How many subsets does this set have?(Type a whole number.)
- Q Which of the following is the inverse relation of the set below?{(-2,3), (7,-4), (3,7), (8,4)}{(3,-2), (-4,7), (7,3), (4,8)}{(7,-2), (-4,3), (2,3), (4,8)}{(-4,-2), (-4,3), (7,8), (4,3)}{(8,-2), (3,7), (7,-4), (4,-2)}
- Q Find the slope of the line.- 9x-8y = 1Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The slope is (Simplify your...
- Q Write the contrapositive of the following conditional statement:"If the cat is running, he either spotted a mouse or he spotted a squirrel." The cat isn't running, and the cat didn't...
- Q Determine if the following function has an Inverse function.h(x) = |x|
- Q -Consider three sets E? = {1,2,3}, F? = {1,3,4} and G? = {2,3,4,5). Twoelements are chosen at random, without replacement, from the set E?, and let S?denote the set of...
- Q Consider the following functions f(x) = 2x and g(x) = 3?x Find the formula for (f/g) (x) and simplify your answer. Then find the domain for (f/g) (x)
- Q A freelance computer consultant keeps a database of her clients, which contains the namesS = {Acme, Brothers, Crafts, Dion, Effigy, Floyd, Global, Hilbert).The following clients owe her money:A = {Acme,...
- Q Which was not a response to the September 11 terrorist attacks on the United States? A. Iraq denounced the events and disassociated itself from al-Qaeda. B. World leaders pledged support...
- Q Consider the following functions.f = [(-1.-2), (3, ? 1), (1, 3)]andg = ((-1.1), (3, 0), (1, ? 3)}Find (gl)
- Q Let A = {H, T}, B = {1, 2, 3, 4, 5, 6}, and C = {red}. Find the number indicated.n(A x CxC)
- Q Use set notation to write the members of the following set, or state that the set has no members.Odd numbers between 14 and 56 that are multiples of 5.Select the...
- Q What is the power set of the set (0,1,2)?(0. (0). (1), (2), (0, 1), (0.2), (1,2), (0.1.2))(0.(0). (1), (2), (0, 1), (0.2), (1,2))(10), (1), (2), (0.1), (0, 2), (1,2), (0.1,2))((0)...
- Q Let A be the set A=(1,2,3, 4) and let B be the set B=(5,6,7,8).What is an element in B*A?(6,4)(3,4)(4.7)(1,8)
- Q Consider the following function on the given domain.Correctr(x) = (x+3) - 5,x ?-3Step 1 of 2: Find a formula for the inverse of the function on the given domain, if...
- Q Let U=(c, d, f, g, h, k, m), and A = {c, f). Determine if the statement below is true or false.A?UChoose the correct answer below.A. The statement is false...
- Q On the first day of a song's release, it had 20 million streams. If the number of streams increases by 10% per day, how many streams will there be on...
- Q Fill the blank with either ? or to make the statement true.4 _{2, 3, 6, 7)Select the correct choice below and, if necessary, fill in the answer box to complete...
- Q Elmer has a job shoveling sidewalks that pays $22 per sidewalk shoveled and he plans to complete at most 10 sidewalks in a week.If x is the number of sidewalks...
- Q QuestionIf the function y = eis vertically compressed by a factor of 2, reflected across the y-axis, and then shifted down 3 units,cea + b.what is the resulting function? Write...
- Q Suppose that the relation G is defined as follows.G={(8,-7), (-6, 7), (7,0), (2, 2)}Give the domain and range of G.Write your answers using set notation.
- Q Given f(x) = (x + 2) and g(z)=2-3z, find (+g) (z).You should not include (f+g) (z) = in your answer, and your answer should be fully simplified.Provide your answer below
- Q 28% of U.S. adults say they are more likely to make purchases during a sales tax holiday. You randomly select 10 adults. Find theprobability that the number of adults who...
- Q A veterinarian prescribed Alexandra, a 23-pound dog, an antibacterial medication in case an infection emerges after her teeth were cleaned. If the dosage is 7.75 mg for every pound, how...
- Q To make a profit, a company's revenue must be greaterthan its operating costs. The company's revenue ismodeled by the expression 7.5x - 100,where x represents the number of items sold....
- Q Determine the validity of the following argument using an Euler diagram:Statement: Every day I practice either piano or guitar.Statement: Yesterday I did not practice piano.Conclusion: Yesterday, I practiced guitar.Select the...
- Q A camera shop stocks eight different types of batteries, one of which is type A76. Assume there are at least 32 batteries of each type. (a) How many ways can...
- Q Suppose that five microchips in a production run of fifty are defective. A sample of seven is to be selected to be checked for defects.(a) How many different samples of...
- Q Determine whether the statement is true or false, and explain why.Three sets divide the universal set into at most 6 regions.Choose the correct answer below.A. The statement is true. This...
- Q Decide whether the statement is true or false.?{}Choose the correct answer below.A. False because contains 0 elements so the only element of {0} is 0.B. True because {} is a...
- Q A number is selected from the set (1, 2, 3, 5, 15, 21, 29, 38, 500}. If equal elemental probabilities are assigned, what isthe probability that the number chosen is...
- Q For the functions f(x) = -6x + 9 and g(x)= 3x + 9 find the following.(a) (fog)(x) and its domain(b) (gof)(x) and its domain
- Q Express the given function has a composition of two functions f and g so that h(x) = (fog)(x), where one of the functions is x9 - 6.h(x)=?x9-6f(x)=?x (Simplify your answer.)g(x)=...
- Q 5. Theresa decides to donate money to cancer research each year. Her brother, Tony, also decides to contribute. Together, they donate $1,000 per year to cancer research. If Tony is...
- Q A person chooses a single number in a set containing the numbers from 1 to 50. Find the setrepresenting the event E of choosing a number that that can be...
- Q Which of the following sets is a subset of B = {green, 66, 9, 70, love, 8}?Select the correct answer below:h = {green, 6, 9, 70, 8}g = {green, love,...
- Q Are the sets A and B finite or infinite?A = {x ? Z | -2 < x < 2},B = {x?R| - 2 < x <2}.Select the correct answer below:A...
- Q Consider V = {2, 3, 5, 7, 9, 11, 13, 15, 17, 19) as a universal set. Let PC be the set of those numbers that are either multiples of...
- Q Which of the following is the set M for all the letters that make up the word MATHEMATICS?Select the correct answer below:M= {M, T, H, C, S}M = {M, A,...
- Q In a class of 107 seniors, 37 students are taking the AP Calculus exam, 39 students are taking the AP Literature exam, and 38 students are taking the AP Biology...
- Q Consider the following sets:1. The set containing all of the days in the month of December,2. The set containing all of the days in the month of January,3. The set...
- Q Drag the expressions to the correct functions. Not all expressions will be used.Consider the functions fand g.f(x) = 4x + 1g(x)=x2-3Perform the function compositions.-24x2 +374x4 24024 361624 + 8x2 +...
- Q Answer parts a and b.a. n(A ? B) = 16, n(A ? B)=3, and n(B) = 9, find n(A).b. If n(A) = 12, n(B) = 25, and n(A ? B)=8,...
- Q What is (Y?X)c where X = {11, 14, 67, 5, 36,99), Y = (54, 11, 99, 5, 22, 808) and Universal Set= (2, 45, 90, 22, 11, 444, 14, 99,...
- Q The event of you going to work is A and the event of you taking leave is B. If these events are mutually exclusive events, using P(A) = 0.55, and...
- Q Among the 30 students registered for a course in discrete mathematics, 15 people know the JAVA programming language, 12 know HTML, and 5 know both of these languages.(a) How many...
- Q Given the universal set U consisting of all integers between and including 1 and 20, and let the set A consist of all of the powers of 2 (integers of...
- Q What is a set? Describe the use of braces for listing the members of a set.
- Q In the braces below, list all subsets of the set {g, f, e). Write each subset in your list in roster form. If there is more than one subset in...
- Q Sets G and I are defined as follows.G= {0, 4, 7, 8)I=(-1, 0, 3, 5, 8}Answer each part below. Write your answer in roster form or as .(a) Find the...
- Q You and your friend are arguing on whether or not the SPOTTY Newsgraph that was on TV last night was correct.. Your friend stated: I don't believe the graph because...
- Q Write each set in the indicated form.If you need to use11." to indicate a pattern, make sure to list at least four elements of the set.As you answer below, remember...
- Q In the braces below, list all subsets of the set {e, d).Write each subset in your list in roster form. If there is more than one subset in your list,...
- Q At the north campus of a performing arts school, 20% of the students are music majors. At the south campus, 30% of the students are music majors. The campuses are...
- Q Read the scenarios below. Determine which scenario can be represented by an inequality, an equation, ora system of equations. Use the drop-down menu to the left of each scenario to...
- Q Find the payment necessary to amortize the following loan.$7900; 8.4% compounded semiannually; 24 semiannual paymentsThe payment is $(Round to the nearest cent as needed.)
- Q Identify the property of real numbers illustrated in the following equation.Answer(3-5) (7-5)= [(3-5)-7](5)Commutative Property of AdditionO Associative Property of AdditionO Distributive PropertyO Multiplicative Identity PropertyO Multiplicative Inverse PropertyO Commutative Property...
- Q The implication operation, i.e. xRy is defined as x implies y, on the set (0,1).Is the relation reflexive?Yes NoIs the relation irreflexive?Yes NoIs the relation transitive?Yes NoIs the relation symmetric?Yes...
- Q A jet plane has 160,000 pounds of fuel after the first hour of flight. The four engines consume a total of 14,000 pounds per hour at its cruising altitude. How...
- Q A concert hall has 14 seats in the first row, 16 seats in the second row, 18 seats in the third row, and so on. If the pattern continues, how...
- Q state the domain for the function below.f(x)=(2x - 6)/(x + 2x + 5)all real numbers except o and 3all real numbers of xall real numbers except oall real numbers except...
- Q Jerome will be buying a used car for $7,000 in 3 years. How much money should he ask his parents for now so that, if he invests it at 7%...
- Q Which expression uses the commutative property ofaddition and the associative property of multiplication torewrite the expression 5 + 3 (3.8)?3 (8.3)+53 (3.8) +5(3.3) 8+55+3 (24)
- Q Consider the interval [2/9,16/9](a) Find the length of the interval.(b) If we partition [2/9,16/9] into 7 subintervals of equal length, then(i)the length of each subinterval is(ii)the first subinterval is ...
- Q Promenade Limousine RentalYou and your friends are planning to go to prom. To rent a limo, it will cost $200 and an additional $25 for refreshments for each passenger. You've...
- Q Determine the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicated value of x to be less than 0.01.
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