Basic Math question and answers for September 16, 2023
- Q Let T1 be the reflection about the line4x?3y=04x?3y=0 in the euclidean plane. What isthe standard matrix A of T1?What are the two eigenvalues and corresponding eigenspaces of A?
- Q Decide which formula to use and than solveA. Sara borrows $1200 at 8 % simple interest. If the loan is for5 months, what is the total amount he pays back...
- Q Prove Desargues’ Theorem for the case where AC is parallel withA?C? on the extended Euclidean plane.
- Q Use the formula for computing future value using compoundinterest to determine the value of an account at the end of 5 yearsif a principal amount of ?$5,000 is deposited in...
- Q 7. Describe how to achieve the best score by Smith-Waterman inlinear space.
- Q For each of the statements (i)—(iii), state whether it is trueor false (i) Every system of linear equations has at least onesolution. (ii) A system of four linear equations with...
- Q Explain what is meant by deductive reasoning. Give an example ofthe Law of Detachment and the law of Syllogism.
- Q For the following exercises, suppose that x2 = 25 + 36 ? 60 cos(52) represents the relationship of three sides of a triangle and the cosine of an angle.Draw the triangle.
- Q Problem 3. How many arrangements of MATHEMATICS are there thathave ALL of the following properties:TH appear together in this order and E appears somewhere beforeC?
- Q Explain the difference between finding the horizontal andvertical asymptotes.When will there be a point of discontinuity?What could the graph look like when there is no horizontal orvertical asymptotes.
- Q Solve the following LP problem using graphical solution method.MAX: 5 X1 + 3 X2 Subject to: 2 X1 ? 1 X2 ? 2 6 X1 + 6 X2 ? 12...
- Q Discuss understanding how to express quadratic functions tostandard forms and graphing polynomial function. This is COLLEGEALGEBRA.
- Q Are these two functions inverses of each other?How would you solve for one of these?f(n)=2(n-2)3g(n)=4+cube root of 4n divided by 2
- Q Agrain barge travels on a river from point A to point B loading andunloading grain. The barge travels at a rate of 11mph relative tothe water. The river flows downstream...
- Q Discuss understanding how to express quadratic functions tostandard forms and graphing polynomial functions
- Q Howto construct a field of complex numbers as an extension of thefield of rationales?
- Q Describe how geometric quantities are identified as beingequal.Describe how the coordinate plane is used in studying geometry.
- Q Prove that each point has exactly 1 polar in Desargues'configuration.
- Q Youare given a system with n equations and n-2 variables. Is itpossible for the solution set to be the span of a single vector?Why or why not
- Q You have three lines of training modules: Company Training (CT),On-line Training (OT), and Academic Training (AT). For each soldCT, you will receive $1,000 in revenue, while for each sold OT,...
- Q (a) If V1,V2?V show that (V2^?)?(V1^?) implies V1?V2(b) If V1,V2?V , show that (V1+V2)^?=(V1^?)?(V2^?) where wewrite V1+V2 to be the subspace of V spanned by V1 and V2 .
- Q Chapter 3.6, Problem 20E in Introduction to Linear Algebra (5thEdition)Find the basis for the null space and the range of the givenmatrix. Then use Gram-Schmidt to obtain the orthagonal bases.1310119-125412-1-114
- Q A farmer has 360 acres of land on which to plant corn and wheat.She has $24,000 in resources to use for planting and tending thefields and storage facility sufficient to...
- Q g. Now let’s say you wait just 5 years before you start savingfor retirement, how much will that cost you in interest? How about10 years? How about just 1 year?...
- Q 1.38.4. The diagonal of a parallelogram and segments from anypoint on the diagonal to the vertices through which the diagonaldoes not pass divide the parallelogram into two pairs of equaltriangles.
- Q A. 271 and 5161. Find the greatest common divisor, d, ofthe two numbers from part A using the Euclideanalgorithm. Show and explain all work.2. Find all solutions for the congruence ax ?...
- Q A $1000 par value 4% bond with semiannual coupons matures at theend of 10 years. The bond is callable at $1050 at the ends of years4 through 6, at $1025...
- Q 1. Discuss the different properties of Matrices for eachmatrix2. What is the importance of interface in fiber reinforcecomposite?
- Q 1) How much will you have accumulated over a period of 30 yearsif, in an IRA which has a 10% interest rate compounded quarterly,you annually invest:a. $1 b. $4000 c....
- Q discover and prove a theorem about planes and transversalssuggested by the corollary of theof the triangle proportionalitytheorem
- Q Find all ring homomorphism from Z?Z into Z?Z
- Q An investment of ?$71,000 was made by a business club. Theinvestment was split into three parts and lasted for one year. Thefirst part of the investment earned? 8% interest, the...
- Q A beverage company has introduced three new juice blends:carrot-canteloupe, kiwi-kale, and raspberry-rhubarb. They conducteda study where 210 volunteers tried all three blends and reportedwhich ones they liked.The number of volunteers...
- Q When Gustavo and Serrana bought their home, they had a 5.1% loanwith monthly payments of $870.60 for 30 years. After making 78monthly payments, they plan to refinance for an amount...
- Q A chair company produces two models of chairs. The Sequoia model takes 3 worker-hours to assemble and worker-hour to paint. The Saratoga model takes 2 worker-hours to assemble and I...
- Q A group of retailers will buy 120 televisions from a wholesalerif the price is $375 and 160 if the price is $325. The wholesaleris willing to supply 88 if the...
- Q Using a compass and straight edge, construct an isoscelestrapezoid with at least one angle 60 degrees.
- Q The table shows the estimated number of E. coli bacteria in alab dish t minutes after the start of an experiment.Time (min)0102030405060Bacteria300423596842118816862354A. Using t as the independent variable, find the...
- Q The daily demand for ice cream cones at a price of $1.20 percone is 50 cones. At a price of $2.20 per cone, the demand is 30cones. Use linear interpolation...
- Q This week we study complex numbers which include an "imaginary"part. This is an unfortunate name, because imaginarynumbers can be proven to exist and they are very useful fordescribing certain physical phenomena....
- Q State whether the following statements are true of false. Ifthey are true, give a short justification. If they are false, givea counterexample. For each of the following, P(x) is apolynomial.(a)...
- Q find the coordinates of the center and foci and the lengths ofthe major and minor axes for the ellipse with the given equation.remember to complete the square in oder to...
- Q Give the fifth roots of z=11+10i in rectangular form with realand imaginary parts rounded to 4 decimal places. Show yourwork.
- Q Thepine tree nursery received an invoice for $1,750 worth ofmerchandise and $90.50 in freight charges. The invoice carriesterms of 3/10,n/30. If the company borrows money at 12% to pay theinvoice...
- Q Let f(x) = 5x+3 and g(x) =2x-5. Find (f+g)(x),(f-g)(x),(fg)(x),and (f/g) (x). Give the domain of each.(f+g) (x) =(f-g)(x) =(fg)(x) =(f/g)(x) =The domain of f+g is_The domain of f-g is_The domain...
- Q Assume that you have a balance of $5300 on your Discover creditcard and that you make no more charges. Assume that Discovercharges 21% APR and that each month you make...
- Q Twice last? month, Judy Carter rented a car in? Fresno,California, and traveled around the Southwest on business. The carrental agency rents its cars for a daily? fee, plus an additionalcharge...
- Q Calculate a t-test for the following scenario. An engineer isdesigning a stationary parts bin at a work table and considersusing an established... Calculate a t-test for the followingscenario. An engineer...
- Q explain why a matrice can have many row echelon forms
- Q 1. Consider the three vectors, u and v are 10 degrees above andbelow the x-axis respectively, and ||u|| = 1, ||v|| = 2, and ||w||= 3. Arrange the dot products...
- Q 23. Show that for any numbern,n andn+1 are coprime.28. Show that if (a,b)=1 andc divides a, then (c,b)=1.
- Q In a population of 10,000, there are 5000 nonsmokers, 2500smokers of one pack or less per day, and 2500 smokers of more thanone pack per day. During any month, there...
- Q Determine the student's Level of Van Hiele Model of GeometricThought based on the response given. For example: Is the student atLevel 1 (Basic Level): Visualization, Level 2: Analysis, Level 3:Informal...
- Q A land surveyor places two stakes 500 ft apart. He locates themidpoint between the two stakes and creates a perpendicular to theline that connects these two stakes. He needs to...
- Q 75 million people died in World War 2 spread over 6 years. Rightnow in the World 13 000 people have died due to the pandemic. Ifthe doubling time is 5...
- Q For the following exercises, assume???is oppositeside?a,??is oppositeside?b,?and???is oppositeside?c.?Determine whether there is no triangle, onetriangle, or two triangles. Then solve each triangle, if possible.Round each answer to the nearest tenth.1) ?=119°,a=14,b=262)...
- Q Use the given conditions to write an equation for the line in?point-slope form and in? slope-intercept form.Passing through (-2,-5) and parallel to the line whose equationis y=-4x+2
- Q There are 2 different catalogs sent to customers. One of thecatalogs costs 50 cents to make and is 50 pages long. Theconversion rate for the catalog is 5% and each...
- Q Express the point (10,20) as a convex combination of (0,0),(0,40), (20,20) and (30,30).Please explain the "algorithm" on how to solve this type ofproblem.
- Q Holly Krech is planning for her retirement, so she is setting upa payout annuity with her bank. She wishes to receive a payout of$1,700 per month for twenty years. (Round...
- Q Question # 5 a. Briefly explain how the Bernoulli equation is derived. Discussits application in oil / gas productions, including its limitation.[4 marks]b. The water level in a tank shown...
- Q Graph all vertical and horizontal asymptotes of thefunction.f(x)=-4x+11/-2x+7
- Q Write out the addition and multiplication tables for the ringZ2[x]/(x^2 + x). Is Z2[x]/(x^2 + x) afield?
- Q Sales Tax: If the purchase price of a bottle ofCalifornia wine is $24 and the sales tax is $1.50, what is thesales tax rate?The sales tax rate is %.A tire...
- Q Determine whether S is a basis forR3.S = {(4, 2, 5), (0, 2, 5), (0, 0, 5)}S is a basis for R3.S isnot a basis for R3. If S is a...
- Q Activity 1: How far can a soccer player kick a soccer ball downfield? Through the application of a linear function and a quadraticfunction and ignoring wind and air resistance one...
- Q 1. For the function f (x) = 2x² + 8 use the limit definition(four-step process) to find f?(x) . Students must show all steps(more or less four of them) to...
- Q Mimi can run around a quarter-mile track in 150 seconds. Judycan run around the same track in 120 seconds. Suppose they startrunning in the same direction from the same place...
- Q John has been hired to design an exciting carnival ride. Tiff,the carnival owner, has decided to create the world's greatestFerris wheel. Tiff isn't into math; she simply has a vision...
- Q Please keep it simple for Hyperbolic Geometry (the response Iwas given was great, but it was well beyond what we needed)Illustrate with a picture showing that the following aresimply not...
- Q formulate an argument to prove that all squares and circles aresimilar
- Q Assign the coordinates to each point on an Affine plane of order3.
- Q Consider a rectangular coordinate system in the plane, in theusual sense of analytic geometry. Every point has a pair ofcoordinates (x,y). For the purposes of this question, let us regardpoints...
- Q George and Paula are running around a circular track. Georgestarts at the westernmost point of the track, and Paula starts atthe easternmost point. The illustration below shows their startingpositions and...
- Q A company is creating a new fertilizer additive for lawn seed,which will be a mixture of nitrogen, phosphate, and potash. Basedon their research, the total amount fertilizer added must be...
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