Basic Math question and answers for July 19, 2023
- Q This exercise is designed to be solved using technology such ascalculators or computer spreadsheets.You borrow $18,000 with a term of four years at an APR of 8%. Makean amortization table....
- Q For the following matrices, first find a basis for the columnspace of the matrix. Then use the Gram-Schmidt process to find anorthogonal basis for the column space. Finally, scale the...
- Q Solve the system of equationsx?2y?z?2t=13x?5y?2z?3t=22x?5y?2z?5t=3?x+4y+4z+11t= ?1Using Gauss-Jordan to Solve a System
- Q Describe the process of solving an exponential equation. Givetwo examples.
- Q In the daily Play 4, players select a number between 0000 and9999. The lottery machinecontains 4 bins, each with 10 ping-pong balls. Each bin has itsping-pong balls labeled0, 1, 2,...
- Q solve by determinantsa.x+y+z=03x-y+2z=-12x+3y+3z=-5b. x+2z=12x-3y=3y+z=1c. x+y+z=103x-y=03y-2z=-3d. -8x+5z=-19-7x+5y=4-2y+3z=3e. -x+2y+z-5=03x-y-z+7=0-2x+4y+2z-10=0f. 1/x+1/y+1/z=124/x-3/y=02/y-1/z=3
- Q National Business Machines manufactures two models of faxmachines: A and B. Each model A costs $100 to make, and each modelB costs $140. The profits are $28 for each model...
- Q The Oregon Atlantic company produces two types of paper:newsprint and wrapping paper. Make 1 yard of newspaperIt takes 5 minutes to produce one yard of newspaper; and 8 minutesto make...
- Q Please write a few sentences on the following two topics:1. The system of coordinates is a "bridge" between algebra andgeometry. Why? How? Etc....2. Relations between straight lines and linear equations.Please...
- Q Construct the 2 × 2 matrix for the linear transformations R 2 ?R 2 defined by the following compositions. In each case, write downthe matrix of each transformation, then multiply...
- Q Prove that R>2r. R is circumradius and r isinradius of a triangle.Derive Heron's formula.
- Q Compare the monthly payments and total loan costs for thefollowing pairs of loan options. Assume that both loans are fixedrate and have the same closing costs.You need a $80,000 loan.Option?...
- Q Formulate a system of equations for the situation below andsolve.A manufacturer of women's blouses makes three types of blouses:sleeveless, short-sleeve, and long-sleeve. The time (in minutes)required by each department to...
- Q In this lesson, you are learning about systems of equations andthree methods for solving them: graphing, substitution, andaddition. Compare and contrast the three methods by discussing thefollowing:Is one method easier...
- Q The number of men and women wearing hats at a recent baseballgame is recorded. The results are shown below. Hat No Hat Total Men35 21 46 Women 10 32 42...
- Q 147 cars were sold during the month of April. 81 had airconditioning and 82 had automatic transmission. 54 had airconditioning only, 55 had automatic transmission only, and 11 hadneither of...
- Q Type in only your numerical answer to the following problem; donot type any words or letters with your answer. The population ofNeverland was 2.3 billion, one hundred years ago. Currently...
- Q 1. Describeyour personal view on algebra being a requirement for your degreeprogram. How do you feel about being forced to takemath?2. Mathematicsis part of the liberal arts curriculum, as well as the...
- Q Given two sets S and T, the direct product of S and T is the setof ordered pairs S × T = {(s, t)|s ? S, t ? T}.Let V,...
- Q An investment club has set a goal of earning 15% on the moneythey invest in stocks. The members are considering purchasing threepossible stocks, with their cost per share (in dollars)...
- Q (a) The n × n matrices A, B, C, and X satisfy the equation AX(B+ CX) ?1 = C Write an expression for the matrix X in terms of A,...
- Q 1----. Is the statement? "Elementary row operations on an augmentedmatrix never change the solution set of the associated linear?system" true or? false? Explain.A.?True, because elementary row operations are always applied...
- Q Proof:Let S ? V be a subset of a vector space V over F. We have that Sis linearly dependent if and only if there exist vectors v1, v2, .....
- Q 1.f(x)= 3x / x^2 + 1- Vertical AsymtoteAs x ? ?, f(x) ?As x ? +, f(x)?- Any hole in graph- Horizontal asymtoteAs x ? ?, f(x) ?As x ? +, f(x)?
- Q Suppose C is a m × n matrix and A is a n × m matrix. Assume CA =Im (Im is the m × m identity matrix). Consider the n...
- Q A committe of four is being formed randomly of from the studentsand staff of a school: 5 administrators, 37 students and 4teachers. How many ways can a committee be formed?
- Q Two balls are drawn in succession out of a box containing 3 redand 5 white balls. Find the probability that at least 1 ball was?red, given that the first ball...
- Q Matrix addition is both commutative and associative foraddition?
- Q Consider the set of vectors S = {(1, 0, 1),(1, 1, 0),(0, 1,1)}.(a) Does the set S span R3?(b) If possible, write the vector (3, 1, 2) as a linearcombination...
- Q The walls and ceiling in your bedroom need to bepainted, and the painters’ estimates to do the work are far tooexpensive. You decide that you will paint the bedroom yourself.Below...
- Q We can approximate the continuous-time tank model of theprevious problem by a discrete model as follows.Assume that we only observe the tank contents each minute (timeis now discrete). During each...
- Q The quantity demanded x each month of Russo EspressoMakers is 250 when the unit price p is $170; the quantitydemanded each month is 750 when the unit price is $150....
- Q 1. If (1, -1) is an eigenvector of A with associatedeigenvalue -2, and (1, 1) is an eigenvector of A withassociated eigenvalue 4, then what the entries of A ,a11...
- Q Communication is considered an important component ofmathematics education in order for deep learning to occur.1. Choose a specific algebra concept (SeeM2.Fractions andMixed Numbers or M4.Intro to Algebra in MFL) that...
- Q Find the basis for the row space, columnspace, and nullspace forthe following matrix.Row 1 {3,4,0,7}Row 2 {1,-5,2,-2}Row 3 {-1,4,0,3}Row 4 {1,-1,2,2}
- Q A consonsultant wishes to invest up to a total of $25000 in twotypes of securities, one that yields 10% per year and another thanyields 8% per year. They believe that...
- Q Convert the system3x1 +13x2 - 14x3 = -14x1 + 4x2 -5x3 = -4-7x1 - 25x2 +39x3 = 20to an augmented matrix. Then reduce the system to echelon formand determine if...
- Q You want to be able to withdraw $20,000 from your account eachyear for 30 years after you retire. If you expect to retire in 25years and your account earns 6.8%...
- Q Linear Programming A candy company makes three types of candy,solid-center, fruit-filled, and cream-filled, and packages thesecandies in three different assortments. A box of assortment Icontains 4 solid-center, 4 fruit-filled, and...
- Q (a) Calculate the five-number summary of the land areas of thestates in the U.S. Midwest. (If necessary, round your answer to thenearest whole number.)minimum square miles ?first quartile square miles ?median square miles...
- Q Which of the following are linear transformations?Choose Linear Not Linear The function f:?3??2 definedbyf([x y z]^T)=[x?y 3y+z]^T.Choose Linear Not Linear The function a:??? such thata(x)=(x?1)+(x?2)^2.Choose Linear Not Linear The functiong:M2,2(?)?M2,2(?) defined byg(A)=2A+[1 23...
- Q I am submitting this for the second time, because the personthat answered the first time definitely did not read my last twoparagraphs. I need to DISCUSS, why the theorem works...
- Q a) For the following polynomial; a. Use the Rational Zero Testto list all possible rational roots b. Use Descartes Rule of Signsto provide the possible numbers of positive and negative...
- Q Chloe is buying souvenirs on vacation. She wants to spend 70dollars at most, but only has 60 cubic inches of space available inher luggage. If bracelets cost 7 dollars and...
- Q How many 5-card hands have at least one pair?
- Q Kane Manufacturing has a division that produces two models offireplace grates, x units of model A and y units of model B. Toproduce each model A grate requires 3 lb...
- Q use the two-phase method and big.M method to solve the LPP: minz=x1-2x2 st: x1+x2>=2 -x1+x2>=1 x2<=3 x1,x2>=0 (twomethod!)
- Q In the real vector space R 3, the vectors u1=(1,0,0) and u2=(1,2,0) are known to lie in the span W of thevectors w1 =(3,4,2), w2=(0,1,1), w3=(2,1,1) and w4=(1,0,2). Findwi, wj...
- Q The Sandersons are planning to refinance their home. Theoutstanding principal on their original loan is $120,000 and was toamortized in 240 equal monthly installments at an interest rate of10%/year compounded...
- Q Janine is considering buying a water filter and a reusable waterbottle rather than buying bottled water. Will doing so save hermoney?First, determine what information you need to answer thisquestion,How much...
- Q Solvea. x + y = 3, 2x – y = 1b. 3x + 2y = 6, x = 3c. 2x + y = 4, y = -2x + 1d. x – 3y = 6,...
- Q After a weekend of lucrative gigs, a singer finds herself withan extra $ 1,500. She currently has $4350 of credit card debt, onwhich she is charged an annual yield of...
- Q Use a software program or a graphing utility to solve the systemof linear equations. (If there is no solution, enter NO SOLUTION.If the system has an infinite number of solutions,...
- Q A company produces individual resistors and transistors as wellas computer chips. Each set of resistors requires 2 units ofcopper, 2 units of zinc, and 1 unit of glass to manufacture....
- Q Prove Proposition 3.22(SSS Criterion for Congruence). Giventriangle ABC and triangle DEF. If AB is congruent to DE, BC iscongruent to EF, and AC is congruent to DF, then triangle ABC...
- Q eigenvalues of the matrix A = [1 3 0, 3 ?2 ?1, 0 ?1 1] are 1, ?4and 3. express the equation of the surface x^2 ? 2y^2 + z^2...
- Q Find the perimeter of a regular 36 sided regular polygoninscribed in a circle with a radius of 14 units. Then find the sizeof one of the inscribed angles.
- Q Which units do you prefer to use when performing calculations,American units or metric units? Why? Describe some advantages anddisadvantages to both unit systems.
- Q A plane delivers two types of cargo between two destinations.Each crate of cargo I is 3 cubic feet in volume and 137 pounds inweight, and earns $30 in revenue. Each...
- Q Marvin was standing on the roof of his house throwing waterballoons onto people on the sidewalk below. (Do not try this athome.) When he let the balloon go the balloon...
- Q The table to the right gives the per capita gross nationalproduct and the per capita expenditure on defense for eightdeveloped countries. Gross domestic product? (GDP) is a measure ofthe total...
- Q Prove the Converse of Proposition 3.3 by using Betweenness Axiom1. The converse is Given B ? C ? D and A ? B ? D, then A ? B ?...
- Q Quest
- Q How much will you have accumulated, if you annually invest$1,500 into an IRA at 8% interest compounded monthly for:a. 5 yearb. 20 yearsc. 40 yearsd. How long will it take...
- Q A container of yogurt has the shape of the frustrum of a cone.With the lower base having diameter length 6 cm and the upper basehaving diameter length 8 cm, the...
- Q Part of Desargue’s Theorem: If two triangles are perspectivefrom a point, then they are perspective from a line.a. Create a diagram of Desargue’s Theorem in which the point ofperspectivity is...
- Q Prove that the axiomatic set for Fano's 7 point/line geometry isindependent
- Q What are some modern day applications of Pick'stheorem?
- Q Profit Parabolas: The baseball card shop istrying to sell limited baseball cards for $30, yet no one isinterested in buying the cards. The owner of the baseball cardshop, reduced the...
- Q Discuss the differences and similarities in the analyticgeometries developed by Fermat and Descartes.
- Q A company surveyed 1000 people on their age and the number ofjeans purchased annually. The results of the poll are shown in thetable.Jeans Purchased Annually0123 or MoreTotalUnder 120 64 79 57 20012-1810 69 76 65 22019-2521 69 114 56 260over 2531 65 204 20 320Total62 267 473 198 1000A person...
- Q A projector screen is 3.5 ft tall and 6 ft wide. You want toproject a photo that is 4 in tall by 6 in wide. What are thedimensions of the...
- Q A coffee distributor needs to mix a Terraza coffee blend thatnormally sells for $10.50 per pound with a Gazebo coffee blend thatnormally sells for $13.40 per pound to create 100...
- Q What are the postulates that define Spherical Geometry?
- Q Determine whether you think the given pair of events isindependent.You frequent casinos. You have lost money gambling.
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