Basic Math question and answers for July 22, 2024
- Q Solve the compound inequality. 4x + 6?-6 and 3x?0Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A). The solution set of the...
- Q Which of the following are rational numbers? Select all correct answers. Select all that apply:(A) 1.02022022202222...(B) ?2(C) ?3(D) ?4(E) 0.3333(F) 0.123123123123...
- Q Christian is going to invest $310 and leave it in an account for 20 years. Assuming the interest is compounded daily, what interest rate, to the nearest hundredth of a...
- Q Solve by graphing:-x + 2y=2-3x + 6y=6Select the correct answer below:a)Infinite solutions in the form (x,(-x/2)-1)b) Infinite solutions in the form (x, (-x/2)+1)c)Infinite solutions in the form (x, (x/2)- 1)d)...
- Q Solve the cubic equation.x +125=0The solution set is _______.
- Q Which of the following represents vector t = PQ in trigonometric form, where P(-10, 13) and Q (-20, 7)?O t = 11.662 cos 30.964i + 11.662 sin 30.964j ;O t=...
- Q If three times a number is increased by 24, the result is 16 less than seven times the same number. Find the number.10911
- Q Lillian is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for...
- Q Suppose that a large farm with a known reservoir of gas beneath the ground sells the gas rights to a company for a guaranteed payment at a rate of 1,500e^0.03t...
- Q Samuel is going to invest in an account paying an interest rate of 5% compounded continuously. How much would Samuel need to invest, to the nearest dollar, for the value...
- Q The sum of two consecutive numbers is 5. Find the equation representing the same.X+ (x + 2) = 5X + (x + 1) = 52X+ (x + 1) = 5
- Q Solve the compound inequality.- 4x<= -12 or 7x-13 >= 29Select the correct choice below and, if necessary, fill in the answer box to complete your choice.(A) The solution set is(B)...
- Q A cell culture contains 9 thousand cells, and is growing at a rate of r(t) = 4e^0.24t thousand cells per hour. Find the total cell count after 2 hours. Give...
- Q Check whether the equation 16 - 4a= 2(8 - 2a) is an identity.O Not an identityO Has solutionO IdentityComplete Later
- Q The total cost to produce x units of perfume is C(x) = (8x + 5)(7x+6). Find the marginal average cost function, C'(x).? A. C'(x) = 56x+83+30/x? B. C'(x) = 112-83/x?...
- Q In 1997, the cost of tuition at a large Midwestern university was $167 per credit hour. In 2004, tuition had risen to $230 per credit hour. Determine a linear equation...
- Q Graph the linear equation, f(x) = 3x + 2.Use the graphing tool to graph the linear equation.
- Q The Aquarium charges $22 for adult admission and $9 for each child.The Aquarium bill for a school field trip was $452.a)Write a linear equation in general form to represent this...
- Q The equation y = 123.1(1.065)^x models the number of college students (in thousands) who studied abroad each year from 1998 through 2013. In this equation, y is the number of...
- Q Solve the equation: p + 16p + 60 = 0 p =Write your answers as a list of integers or simplified fractions, with your answers separated by (a) comma(s). For...
- Q Determine the unit mark for Parker is he earned 19/30 on an assignment that has a 15% weight for the course, 6.5/10 on a project that has a 10% weight...
- Q The following table gives the approximate energy values of some foods and the approximate energy consumption of some activities in kilojoules (kJ). Determine how long it would take for you...
- Q Reena collects postage stamps to create an album. The album has 14 pages. The first five pages of her stamp album holds 4 stamps per page. The remaining pages of...
- Q How much money would Karl have in his account after five years if he started with $200, deposits $200 per year, and earns 3 percent interest, compoundedannually?a) $1,325.54b)$1,200c)$400d)$13,255.40
- Q Carolina is making punch for a party. She made 6 bowls of punch. Each bowl holds 2 gallons of punch. 1 gallon is equal to 4 quarts.She thinks each person...
- Q 300 juniors at Central High School took the ACT last year. The scores weredistributed normally with a mean of 24 and a standard deviation of 4. Howmany students scored between...
- Q Two different courier companies charge 3x + 5 and 2x + 7, respectively where x represents the weight of the parcel in pounds. Find the weight for which the charges...
- Q If the alternator-to-engine drive ratio is 2.55 to 1, what rpm will the alternator have when the engine is idling at 400 rpm? Hint: Use a direct proportion.The alternator will...
- Q A concession stand sold pizza slices, ice cream cones, and tacos at a basketball game. Pizza slices were sold for $2.75, ice cream cones were sold for $2.25, and tacos...
- Q Graph the inequality.4x + y<2Use the graphing tool to graph the inequality.
- Q Solve the compound inequality. -x+5 > 6 and 5+2x?-1Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The solution set is ___.(Type...
- Q Use the compound interest formula, A(t) = P(1+r)??An account is opened with an initialy deposit of $10,500 and earns 3.8% interest compounded semi-annually. Round all answers to the nearest dollar.a....
- Q If two people are selected at random, find the probability that they were born in the same month. Write your answer as a fraction in simplest terms.
- Q Two hundred college students were recently asked if they participated in music or sports. 127 students said they were involved in music. 78 students said they participated in both activities,...
- Q Which property is used to compare two linear functions?1. All of the choices2. Rate of change3. Slope
- Q Identify the dependent and independent variable in y = 12x - 30.a)Dependent variable: x and Independent variable: xb)Dependent variable: x and Independent variable: yc)Dependent variable y and Independent variable: x
- Q In order to estimate the population proportion of students at Sandy Beach High that are going to attend prom a random sample of 200 students was taken. The resulting confidence...
- Q 7x 2y = 37 8x + 8y = 40Is ( 5, 1) a solution to the first equation? True FalseIs ( 5, 1) a solution to the second equation?...
- Q Solve the equation by factoring: 2w(3w + 1) = 3w + 1.Write your answers as a list of integers or reduced fractions, with your answers separated by (a) comma(s). For...
- Q Suppose f(c) has zeros at x = -2, c = 4, x = 6 and a y-intercept of 11. In addition, f(x) has the following long-run behavior:as x --> ??,...
- Q Use substitution to solve the system.3x - 6y = 12- 3x + y = -4Select the correct choice below and, if necessary, fill in the answer box to complete your...
- Q Use the law of sines, the law of cosines, or the Pythagorean Theorem to solve ?ABC Round to one decimal place where necessary.(A) C = 90, a = 7, b...
- Q If121 people attend a concert and tickets for adults cost $53.75 while tickets for children cost $3.5 and total receipts for the concert was $440.25, how many of each went...
- Q A football team sold raffle tickets to raise money for the upcoming season. They sold three different types of tickets: premium for $8, deluxe for $3, and regular for $1....
- Q Evaluate the sum.12? (-5-6i) i=4
- Q 10 candies cost 100 cents. Which of the following equations will lead you to find the cost of a candy (x)?O 10^x = 100O x+10 = 100O x-10 = 100
- Q Graph the solution of the system of linear inequalities.3x-2y ? 6y ? -3
- Q A teacher administers a test to his class of 30 students. The mean score (out of 100 possible points) is 80. From previous studies, you know the population standard deviation...
- Q Mr. Hanes, the manager of the local movie theatre, found that the more people attended the movies, the larger his daily bank deposit.a): Can Mr. Hanes conclude that larger attendance...
- Q A water tank that holds 500 gallons and leaks 1/2 gallon of water every hour.(A) What is the rate of change for the function that models the number of gallons...
- Q Blake is going to invest $34,000 and leave it in an account for 9 years. Assuming the interest is compounded annually, what interest rate, to the nearest tenth of a...
- Q You deposit $100 each month into an account earning 8.5% interest compounded monthly. How much total interest will you earn after 30 years?a)$129,070.58b)$165,070.58c)$36,000d)$82,623.82
- Q Daniel is going to invest $860 and leave it in an account for 14 years. Assuming the interest is compounded quarterly, what interest rate, to the nearest hundredth of a...
- Q A rare isotope of a nuclear material is very unstable, decaying at a rate of 14% each second. Find how much isotope remains 11 seconds after 5 grams of the...
- Q Find the distance between the points (-4, 9) and ( -8,1).
- Q Use the given equivalents, along with dimensional analysis, to convert the given unit to the unit indicated. ...
- Q In 2001, the mouse population in a park was measured to be 4,860. By 2009, the population was measured again and was found to be 5,980. Assume the population continues...
- Q Find the restricted values of x for the following rational expression. If there are no restricted values of x, indicate "No Restrictions"(-3x^2 - 6)/6x
- Q Convert to Fahrenheit. Use the formula F=(9/5)+C+3261C=______ F
- Q Consider the circles shown to the right. Assume one circle is selected at random and each circle is equally likely to be selected. Determine the probability of selecting the number...
- Q Assume that a hat contains four bills: a $1, a $ 5, a $10, and a $20 bill. Two bills are to be selected at random with replacement. Find the...
- Q Suppose tan(a) = 5/8, where 0 ? a ? ?/ 2. The least solution to tan(3x) = 5/8 in [0, 2?) is x = The greatest solution to tan(3x) =...
- Q Bryce got a job selling glow sticks at the local fairground. He is paid a fixed amount of $480 per week plus $0.82 per item sold. This is represented by...
- Q Some checking accounts pay a small amount of interest on the money in the account. In this case, interest is money that is paid to the account holder by the...
- Q Use the distributive property to help simplify the numerical expression 8?8 - 8?18 into the form A?C, where A and C are integers.
- Q Let Xn+1 =1.2Xn + 29 be a linear DDS.a) Calculate the equilibrium value for this DDS.b) Suppose the initial value is x? = 66. Find the explicit solution. c) Determine...
- Q Solve the compound inequality. 0?2x-5?7Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A). The solution set is_________B). The solution set is .
- Q Suppose a computer processor can perform about 3.3 billion operations per second. How many operations can it perform in 0.1 second?It can perform about ______ operations in 0.1 second.(Type a...
- Q Solve the compound inequality. x+8?8 and x +4?3Select the correct choice below and, if necessary, fill in the answer box to complete your choiceA. The solution set is ___.(Type your...
- Q Minimize P subject to the given constraints. P = 16x + 2y constraintsx ? 0y ? 0x + 2y ? 82x + y ? 8a. P =16 at (0, 8)b....
- Q You have a summer job that pays time and a half for overtime. That is, if you work more than 40 hours per week, your hourly wage for the extra...
- Q Determine whether the statement mekes sense or does not make sense, and explain your answer.I factored 48x -196 completely and obtained (7x +14)(7x -14).Choose the correct answer below.(A) It makes...
- Q The Family Fine Arts Center charges $22 per adult and $10 per senior citizen for its performances. On a recent weekend evening when 436 people paid admission, the total receipts...
- Q At what interest rate must $4,800 be compounded annually to equal $8,109.499 after 9 yr?(Round to the nearest percent.)A. 8%B. 7%C. 5%D. 6%
- Q Use the model A = Pe^rt or A = P( 1 + r )^nt, where A is the future value of P dollars invested at interest rate r compounded continuously...
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