Basic Math question and answers for May 20, 2024
- Q Factor the expression completely.18x - 3
- Q Solve for all values of x by factoring.x+x=2=0
- Q You are a lumber jack. You are chopping down a tree that is 91 cm thick. Every time you pull theyou cut through 2 cm of the tree. If 24...
- Q Junior is buying bags of grass seed and flower pots to do some work on his yard. Each bag ofgrass seed cost $23 and each flower pot cost $15. He...
- Q The wheels on Noah's bike have a circumference of about 5 feet.1. How far does the bike travel as the wheel makes 15 complete rotations?2. How many times do the...
- Q You are in charge of the marketing budget for a company. You have allowed a maximum budget of $10,000 for banners on various websites. It costs $600 to run a...
- Q You are crossing a toll bridge. You currently have $40 on your toll pass and each crossing costs you$3. How many times can you cross the toll bridge without having...
- Q Factor the expression completely.80x +50
- Q A mechanic sells a brand of automobile tire that has a life expectancy that is normally distributed, with a mean life of 35,000 miles and a standard deviation of 2600...
- Q Mr. Wells tells his class of 24 that when they have completed the assignment, they may play online math games. At the end of class, 40% of the class is...
- Q A consonant digraph is two consonants together that stand foronly one sound.A. Read the word. Circle the consonant digraph in eachword. The consonant digraph may be at the beginning orthe...
- Q Let P(x) = x32 x25 + x18x11 + x4 x + 1. Which of the following are CORRECT ? Number of real roots of P(x) = 0 are zero. Number...
- Q John drove 138 miles in 3 hours. Use the formula d = rt, where d is distance, r is rate, and t is time, to find John's rate of speed...
- Q Jacob is working two summer jobs, making $12 per hour washing cars and making $8 per hour landscaping. In a given week, he can work no more than 13 total...
- Q Two mountain peaks are known to be 15 kilometers apart. A person located at a vista point such that a right angle is spanned when he looks from one peak...
- Q A flower shop sells two types of bouquets. Bouquet A consists of a dozen roses and some carnations. Bouquet B consists of a dozen peonies and some lilies. The price...
- Q A recipe for trail mix uses 7 ounces of almonds with 5 ounces of raisins. (Almonds and raisins are the only ingredients.) How many ounces of almonds would be in...
- Q Which pair of linear equations could describe the opposite sides of a parallelogram? 5x5y = 30 and y = x + 160 2x + y 24 and y = 2x...
- Q In a class of 25 students, 14 have a brother and 17 have a sister. There are 5 students who do not have any siblings. What is the probability that...
- Q An object is dropped from a tower, 196 ft above the ground. The object's height above ground t sec into the fall is s=196-16t.a. What is the object's velocity, speed,...
- Q Madeline is going to invest in an account paying an interest rate of 4.4% compounded annually. How much would Madeline need to invest, to the nearest ten dollars, for the...
- Q For Valentine's Day, a company makes decorative cylinder-shaped canisters and fills them with cinnamon candies. Each canister is 10 in. high and has a radius of 2 in. They want...
- Q At time t, the position of a body moving along the s-axis is s= - t + 12t - 45t m.a. Find the body's acceleration each time the velocity is...
- Q Which equation has the same solution as x - 8x+8 = -10?(x-4) = -2(x-4) = -34? (x+4) = ?34(x+4) = -2
- Q A recipe for 2 dozen corn muffins calls for 3 cup of flour. The number of muffins varies directlywith the amount of flour you use. Estimate how many cups of...
- Q The formula used to convert between degrees Fahrenheit and degrees Celsius is "the sum of (32) and (frac95) times the temperature in degrees Celsius". What is an equivalent algebraic expression?...
- Q Assume that a hypothesis test will be conducted using significance level a = .01 and alternativehypothesis Ha: u: 19.3. Furthermore, we will use the following sample data: n = 12,...
- Q The Mitchells bought a $219,000 townhome. They made a down payment of $47,000 and took out a mortgage for the rest. Over the course of 30 years they made monthly...
- Q Winston made strawberry jam anc raspberry jam. He made enough strawberry jam to fill 1/2 of a jar. If he made 4 times as much raspberry jam as strawberry jam,...
- Q Gerda discovers that the lifetime of light bulbs is normally distributed with mean 1000 hours and standard deviation 100 hours. If Gerda buys 50 bulbs, how many of them are...
- Q An engineer estimated the weight of a steel beam to be 600 pounds. The actual weight of the beam was 63 pounds. Find the absolute error and the percent error...
- Q A busload of campers stopped at a dairy stand for ice cream. They ordered 40 cones some soft-serve at $2.25 and the rest hard-pack at $2.75. If the total bill...
- Q A small telecommunications company invested its 2010 net income of $539,900 in asavings account for 5 years and 1 months. Money was earning interest at a rate of6.50% compounded monthly.a....
- Q In a clinical test with 1400 subjects, 420 showed improvement from the treatment. Find the margin of error for the 99% confidenceInterval used to estimate the population proportion.0.02400.01800.03150.0276
- Q Ashley estimated the height of her office building to be 12 m. The actual height of her office building was 13.4 m. Find the absolute error and the percent error...
- Q Mrs. Ashton buys journals for the students in her language arts class. She pays $64.48 for allof the journals. If there are 26 students in her class, how much does...
- Q The daily rainfall in Newtown in April isnormally distributed with mean 43 mm andstandard deviation 22 mm.Given that there are 30 days in April, on howmany days do we expect...
- Q The growth of a certain bacteria population can be modeled by the functionA(t) = 850e0.0649twhere A(t) is the number of bacteria and t represents the time in minutes.a. What is...
- Q Amy, Shen, and Rafael sent a total of 90 text messages during the weekend. Amy sent 5 fewer messages than Rafael. Shen sent 3 times as many messages asRafael. How...
- Q A sun in a distant galaxy has an estimated Mass of 1.73188 x 101 kg and the earth has a mass of5.972 x 1024 kg, how many earths would it...
- Q Solve the equation in x over the interval [0,2x). Give exact solutions.10 cos 2x = -5Select the correct choice below and, if necessary, fill in the answer box to complete...
- Q Which is greater,O3750O 37%3750or 37%?
- Q Tommy's Tree Farm sold 7 red maple trees so far this month. They expect to sell somemore red maple trees at their upcoming Fall Festival.The rule for this pattern is...
- Q Suppose an investor deposits $21,000 into a savings account for 4 years at 8.5% interest. Find the total amount of money in the account if the interest is:1. Compounded annually,...
- Q A certain disease has an incidence rateof 0.9%. If the false negative rate is 4%and the false positive rate is 1%,compute the probability that a personwho tests positive actually has...
- Q Given f(x) is a polynomial function and the remainder for the quotient oftrue.A. The binomial (x + 2) is a factor of f(x).B. The binomial (x + 2) is not...
- Q Yolanda estimated the length of a room is her house to be 13 ft. The actual length of the room is 12 ft.Find the absolute error and the percent error...
- Q Karen is estimating the volume of her bathtub. The actual volume of her bathtub is 44 gal. Karen's estimateis 48 gal.Find the absolute error and the percent error of Karen's...
- Q 2) Order (4 or 5 fractions; least to greatest vsgreatest to least is up to you)
- Q Given f(x) = 8x and g(x)=3x +6, find the following expressions.(a) (fog)(4)(b) (gof)(2) (c) (fof)(1) (d) (gog)(0)(a) (fog)(4) =(Simplify your answer.)
- Q Solve the following system of equations by graphing.y = x - 1y = - 2x + 8Identify the type of system.O Exactly one solution:O Infinite solutionsO No solutionSolve the following...
- Q The population of Nigeria can be modeled by the functionP(t) = 279(1+0.0251)*where P(t) measures the population in millions and t represents the number of years since 2000.1. Using this model,...
- Q There are 7 erasers in a set. Grace buys 9 sets. After giving some erasers away, Grace has 35erasers left. How many erasers did she give away? 4Solve on paper....
- Q Rewrite the distance formula to solve for y?.SOA.OB.3? = ???d - (1? - 1) - y?3? - ?d - (x? - 1?) 321 =OC.? =OD. 3/? = 2 -2 -...
- Q Damonii and Adrian have new jobs at Ms. Battle's Cotton Candy Confectionary. Damonii is Adrian's manager. In their first year, Damonii will be paid $20 per hour, and Adrian will...
- Q Find the domain of the function f(x)=?x - 2. Write your answer in interval notation.
- Q A ship is sailing due north. At a certain point, the bearing of a lighthouse 3.3 km away is N38.3E. Later on, the captain notices that the bearing of the...
- Q Solve the problem.25) A straight trail with a uniform inclination of 11 leads from a lodge at an elevation of 800 feet to a mountain lake atan elevation of 7400...
- Q 22 What is n NOR n (nn) when n = 1 and when n = 0?On NOR n is 1 when n = 1 and 0 when n = 0On...
- Q A printer prints 2 photos each minute.Let P be the number of photos printed in M minutes.Write an equation relating P to M. Then graph your equation using the axes...
- Q For a certain endangered species, the goal is to have 900 breeding adults in the wild by 2023. If progress toward this goal continues, the population of breeding adultsin the...
- Q =. A track is to be constructed around the football field at ajunior high school. If the straightaways are 100 yd inlength, what length of radius is needed for each...
- Q 58.In 1988, Winchell's House of Donuts in Pasadena, California, made the world's largestdonut. It weighed 5000 pounds and had a circumference of 298.3 feet. What was thedonut's diameter to the...
- Q The speed of light is 3 108 m/s.If a star is 51, 000, 000, 000, 000 meters from Earth, how many seconds does it take light to travelfrom the Earth...
- Q A 9-microgram sample of a radioactive isotope decays to 7.61 micrograms in 7 min. What is the half-life of the radioactive isotope, in minutes? Usethe exponential decay equation A =...
- Q Solve the triangle.a=8.953 in c=6.808 in B=75.17What is the length of side b?in(Round to the nearest thousandth as needed.)What is the measure of angle A?(Round to the nearest hundredth as...
- Q You plan to bake "apple crisp" for a dinner party you are hosting. Your recipe serves fourpeople. The recipe calls for teaspoon of cinnamon. How much cinnamon will you need...
- Q SEvaluate the integral2 40x + 4-dx.Your answer should be in the form k, where k is aninteger. What is the value of k?Hint:k =(b)Now, lets evaluate the same integral using...
- Q A boy weighs a pounds. His younger sister weighs 53 pounds less than him. His father weighs four times as much as his sister.A simplified expression that represents the father's...
- Q A financial advisor recommends that a client deposit $2700 into a fund that earns 7.5% annual interest compounded monthly. What will be the value of the investment after 9 years?...
- Q A 40-year-old man in the U.S. has a 0.247% risk of dying during the next year. An insurancecompany charges $250 per year for a life-insurance policy that pays a $100,000...
- Q Find and simplify each of the following for f(x) = 5x ? 7x + 6.(A) f(x + h)(B) f(x+h)-f(x)(C)f(x+h)-f(x)h(A) f(x + h) =(Do not factor.)(B) f(x+h)-f(x) = (Do not factor.)f(x+h)-f(x)h(C)a(Do...
- Q This exercise uses the radioactive decay model.If 250 mg of a radioactive element decays to 230 mg in 48 hours, find the half-life of the element. (Round your answer to...
- Q 16. Adrienne answered all 21 multiple-choicequestions correctly on her science test. If herteacher decided to let one of the questionscount as a bonus, worth the same number ofpoints as the...
- Q A plumber needs to cut pipe into short sections for a project. The plumberneeds meter for each piece that is cut. Draw a picture to show how manynieces of pipe...
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