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Mathematics Questions and Answers April 04, 2020

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Find the directional derivative of f(x, y, z) 23xy at the point (5,5, 5) in the direction of the vector v (1,1,3).
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is the amount of money paid on the home at the time of purchase. O down payment security deposit O collateral
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A table that shows the breakdown of the principal, payments, interest paid, and the unpaid loan balances over certain timeframe.
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ve using artificial variables. e maximum is z when x and X2 Maximize z 3x 2x2 subject to X1 x1 x2 70 with 4x1 2x2 150 5x1 2x2 250 XX
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x 8. Let T P3 P3 be the linear transformation satisfying T(1) 4x 1, T(x) 3x 9, T(x) 5x Find the image of an arbitrary quadratic polynomial ax bx c. T(ax bx c)
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If you open a savings account that earns 5.5 simple interest per year, what is the minimum number of years you must wait to double your balance Suppose you open another account that earns 5 interest compounded yearly. How many years will it take now to double your balance The minimum number of years you must wait to double your balance is the
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Suppose that y varies directly wit (a) Write a direct variation e Equatio
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Graph one period of the function. y 4 sec x N kly fal hal
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nected graph is shown. Identify the follow dges ops elect the correct choice below and, if nece ce. A. Edge(s) is(are) a bridge(s). (Use a comma to separate answers a B. There are no bridges in the given grap
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You are running correlation analysis on a data set with 8 items. You calculate the correlation coefficient to be 0.973. What is the critical value Is there significant correlation Yes No
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Convert the numeral to a numeral in the base indicated. 9,030 to base 12 A. 5,82612 B. 5,28612 C. 5,02612 OD. 5,20612
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6) From a 24inch by 24inch piece of metal, squares are cut out of the four corners so that the sides can then be folded up to make a box. Let x represent the length of the sides of the squares, in inches, that are cut out. Express the volume of the box as a function of x. Graph the function and from the graph determine the value of x, that will
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4p Find dimension of the linear span of vectors (4 41 31) (12 2 0 4) and (88 26 2) 4. 4p Find dimension of the linear span of vectors (4,4, 1, 3, 1), (1, 2, 2, 0,4), and (8,8,2,6,2). (A) 2 (B) 3
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A logistics provider plans to have a new warehouse built to handle increasing demands for its services. Although the company is unsure of how much demand there will be, it must decide now on the size (large or small) of the warehouse. Preliminary estimates are that if a small warehouse is built and demand is low, the monthly income will be
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Solve for x 3 ti ti x 73 x 7 x1 x 2 2 7 3
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Consider the following linear system. a2b d 5 a b c 4d 1 Create the augmented matrix of this system. 1 1 2 0 1 4 1 Convert the system into one that exhibits the triangular structure 1 01 where the represent numerical values. 1 2 0 5 0 1 1 3 6 1 Write the linear system corresponding to the simplified matrix above, then solve the linear
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A cone has a diameter of 3 inches. The cone holds 12 cubic inches of water. To the nearest inch, what is the height of the cone OA. 1 OB. 4 OC. 5 OD. 8
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Edio Cou X Edio User X Edio Cale X Edio Cale X RepostEx 97760lessons1544622variants2376684take5 392 (41) through all of the points. Pr TEXT ANSWER Examine the function f(x)2 Answer the following questions. 1. What is the slope of the function (HINT What number times x will equal 6) 2. Provide five input values for x that will generate integer
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When playing American roulette, the croupier (attendant) spins a marble that lands in one of the 38 slots in a revolving turntable. The slots are numbered 1 to 36, with two additional slots labeled nd 00 that are painted green. Assume a single spin of the roulette wheel is made. Find the probability of winning with the given bet. In example of a
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Solve the equation by factoring. (Enter your answers as a commaseparated list.) 25 36x2 0 x
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Find a state space equivalent for the following linear system G(s) 10s 48 683 8s2 12s20 2s4783 682 108 11
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ind all roots. One root h x(3)3x(2)8x100
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ow many elements are in the union of four sets if each of the sets has 104 elements, each pair of the sets shares 50 elements, each ree of the sets share 25 elements, and there are 5 elements in all four sets
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13 04 Let A and B Find 4AB. 25 16 4 16 OA. 1 11 4 28 OB. 4 44 4 16 OC. 7 26 4 7 O D. 7 11
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Use elementary row operations to reduce the given matrix to row echelon form and reduced row echelon form 2 4 11 510 26 1 25 (a) row echelon form (b) reduced row echelon form
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Model the situation using a linear system. Define two variables and write the equations. You do not need to solve the system. (5 marks) Jadas job is to collect money from the pop machines. From one machine she collects a total of 76 dimes and quarters (think of their values). If the total value is 13, how many dimes and quarters are there
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mework A woman borrowed 3900 from a ban a) How much did the woman pay for t
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1. Determine the points of intersection between the linear equation f(x) 1.5x 5 and g(x) 2x 12x 13.
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Determine whether (1,3) is a solution of the system 2x4y 8 5x3y1 Is (1,3) a solution of the system Choose the correct answer below. Yes No
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MY NOTES A 657,000 property is depreciated for tax purposes by its owner with the straightline depreciation method. The value of the building, y, after x months of use is given by y 657,0001800x dollars. After how many months will the value of the building be 396,000 x months Need Help Read It Watch It
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Verify that x4, y 4, z 2 is a solution of this system of equations xyz 1x y 4z 12 2x y z 5 A) Not a solution B) Solution
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POINT POINTS) THE STANDARD DEVIATION 5) FOR THE DATA 63 76 88 75 82 A) MEAN B) MEDIAN
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vector function is a solution to a matrix differential equation if after substituting into the matrix differential equation. O A. it makes both sides of the matrix DE not equal. OB. it makes another matrix DE. OC. it solves the equation for x and y. OD. it makes both sides of the matrix DE equal.
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n 2n The 20th term in the sequence defined by 230 is a) 44 b) 40 c) 36 d) 30
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Evaluate the expression for x 2. 6(x3) 6(x3)
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Use the compound interest formula to compute the future value of the investment. Round to the nearest cent. 1,500 at 2 compounded monthly for 6 months OA. 1,514.93 OB. 1,515.06 OC. 1,689.24 OD. 1,501.25
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7) Sarah earns 800.00 in regular wages per weekly pay period. She also receives a taxable car allowance of 120.00 per week. She worked 4 over time hours this pay period for which she was paid 140. Her employer pays 75 each pay period towards RPP on her behalf. She pays 40.00 union dues per week and contributes 20.00 to her companys RPP plan.
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What is the rank of each of the matrices below (a) 1 0 1 (b) (c) 0 0 6 0 1 0 90 1 0 0117 0 0 0 0 0 1 6 0 0 0 0 1 (d) 0 0 0 0 0 0 0 0 0 (e) 10670 0 0 0 0 0 0 18 0 1 (f) 0 0 1 0 1 0 1 0 0 w.webassign.netv4cgiassignmentspreview.tplaid21237117UserPass966756bba9e613844df029ab 44 PM (g) 1 2 6 1 0 0 0 1 1 0 0 1 (h) 2 16 8 Assignm
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Product Lemonade Eggs Cost per item Subject to sales tax 6.00 4.50 Yes No In a city that applies 6 sales tax, how much money total will a person pay for eggs A. 5.25 B. 4.50 C. 4.77 D. 7.20
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The population, P, of fish in a lake can be modelled using the function P800 sin 30(6) 2000, where t is the number of months after August 1. What is th population on November 1 a) 1200 fish b) 2800 fish c) 2400 fish d) 800 fish
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Tamekas back yard has three trees that form a small triangle. She is planning to plant a flower garden in this triangular area and must calculate the area in order to buy the correct amount of fertilizer and mulch. She measures the following distances for the three sides of the triangle 10.5 ft, 8.75 ft, and 5.75 ft. Calculate the area of this
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21. On a large residential college campus, one student returns from vacation with a contagious and longlasting flu virus. The spread of the virus is modeled by y 6000 15999 0.8t t0 where y is the total number of students infected after t days. a) What is the limiting number of students who will become infected b) What are the two horizontal
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Find the transpose of the matrix. 158 19 2 13 10 3 80524 1 58 19 The transpose of 2 13 10 3 is 8 05 24
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This module is intended to help you understand fractional exponents. Rewrite the expression below as 16 to a single power (168)51640 (167) 1614 (16) 916 Let x 16 x9 16 x 16 Use the two different equations for x above to express as a radical in the answer form below. 16 16
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dy Tools Tips ips ls ductory Ch 08 Assignment Risk and Rates of Return REQUIRED RATE OF RETURN (Percent) 16.0 120 80 0.6, 7.6 Return on HCs Stock 4.0 1 0 0.5 10 15 2.0 RISK (Beta) CAPM Elements Riskfree rate (TRF) Market risk premium (RPM)) Happy Corp. stocks beta Required rate of return on Happy Corp. stock Value following graph plot, SML, and
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Sterling, Inc. reports the following financial information for its sports clothing segment. Average operating assets 3,059,000 Controllable margin 672,980 Minimum rate of return 10 9 Compute the return on investment and the residual income. Return on investment Residual income 10 96
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A manufacturer of DVD players has weekly fixed costs of 1,580 and variable costs of 13.50 per unit for one particular model. The company sells this model to dealers for 18.50 each. (a) For this model DVD player, write the function for weekly total costs C(x). C(x) 1,58013.50x Excellent (b) Write the function for total revenue R(x). R(x) 18.50x
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3. Jacob North wants to buy a fouryearold Palomino sedan. His friend has a V8 fourdoor that he will sell Jacob at wholesale. The car has a manual transmission, a DVD player, leather seats, a power sunroof and 53,480 miles. Premier Certified PreOwned Autos has a V6 four door that is being sold at retail. That car has power mirrors, front bucket
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Joe rides his bicycle an average of 15 mph. The distance Joe rides d (t) (in mi) is given by d (t) 15t, where t is the time in hours that he rid (a) Evaluate d (3) and Interpret the meaning. (b) Determine the distance Joe travels in 35 min. Give the exact answer. Do not round. Parte Part 1 of 2 (a) d (3) Thus, Joe travels mi in hours.
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Verify that S and T are inverses. S P P defined by S(a bx) (4a b) 2ax and T P P defined by T(a bx)b2 (a 2b)x. We must verify that S o T 1p and To S1p (So T)(a bx) (To S)(a bx) Thus, (So T)(a bx) (To S)(a bx) for any a bx E P so both compositions are the identity and we are c
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Congratulations, you have worked out how row reduction is also a matrix factoring algorithm Exercise 3.6.7. Using the ideas from the above exercise, go back to exercise 1.4.8 and find the matrix E, which is a product over a bunch of matrices coming from elementary row operations, so that E. AR where A is the coefficient matrix for the problem and
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26. IV fluids 1000 mL, blood transfusion 2 units (360 mL per unit), 6 oz water
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The vector field F (x, y) x y represents an ocean current. An iceberg is at the point (1, 2) at t Determine the position of the iceberg at timet 4. aebced, where a i 0. b i ,c i , d i
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Let T P2 P be defined by T(aoa1xa2x) (9a0 7a1 19a2) (a1 49a2)x(ao 4a2)x2 Find the eigenvalues of T. NOTE Enter any repeated eigenvalues as often as they repeat.
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Let and 122 A 31 1 201 B 2 11 1 124 Use the matrixcolumn representation of the product to write each column of AB as a linear combination of the columns of A Ab3 Ab 2 Ab 3 Give the final product, AB.
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Select the correct choice below and, if necessary, fil in the answer box to complete your choice A. The solution set in interval notation is (Simplify your answer Use integers or fractions for any numbers in the expression. Type your answer in interval notation.) 08. The solution set is o Graph the solution set on a number line. Choose the correct
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If Am then A is Invertible if ad bc 0, in which case A1 ad bc c If ad bc 0, then A is not Invertible. Find the inverse of the given matrix (if it exists) using the theorem above. (If this is not possible, enter DNE In any single bl
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2.91 Points DETAILS An equation of a hyperbola is given. x2 y2 1 SALGTRIG4 12.3.012. (x, y) 16 25 (a) Find the vertices, foci, and asymptotes of the hyperbola. (E vertex ) (smaller xvalue) vertex (x, y) (larger xvalue) focus (x, y) (smaller xvalue)
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x2 2x8 x1 In the diagram, three parallel lines cut two transversals. Solve for x. a. x6 b. x30 c. x5 O a. Ob. C d. e. d. x12 e. x7 x4
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At the start of your post secondary education, your parents invest 12000 in an account that pays 6.5a. compounded weekly. How much can you withdraw from the account at the end of every week while you are in school over the next 4 years
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To go with the animals sold, you want to include a trivia booklet about each animal. One interesting bit of information you want to include with the polar bear stuffed animal is how fast their fur grows. You know that it grows at a rate of 1 x 108 miles per hour. 7. How much longer will the fur be after 100 hours Dont forget units (3 points) a.
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Consider the following. Find Av. Av A 101 V 90 1 1 1 1 Complete the following statement. Since Avvo, v Select in null(4)
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The Acme Class Ring Company designs and sells two types of rings the VIP and the SST. They can produce up to 24 rings each day using up to 60 total manhours of labor. It takes 3 manhours to make one VIP ring, versus 2 manhours to make one SST ring How many of each type of ring should be made daily to maximize the companys profit, if the profit on
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What does the remainder theorem conclude given that (f(x))(x3) has a remainder of 11
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Apply the GaussSeidel method to the given system. Take the zero vector as the initial approximation and work with foursignificantdigit accuracy until two successive iterates agree within 0.001 in each variable. Compare the number of iterations required by the Jacobi and GaussSeidel methods to reach such an approximate solution. (Round your answers
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Refer to the vectors below. b 3, 4, 1 c 1,4, 1 d 1,1,3 C Compute the indicated vector. 3h2cd
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Suppose that the point (x, y) is in the indicated quadrant. Decide whether the given ratio is positive or negative. Recall that rx 11, In Quadrant II, is positive or negative O Negative Positive
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1. Compute the following by using A 3 B 4 232. and v a) A 2B and (A 2B) b) (A2B)v and ((A 2B)v) c) vT (A 2B)T
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Find the approximate area of the shaded region below, consisting of a right triangle with a circle cut out of it. Use 3.14 as an approximation for . 90 m 40 m 90 m O 6, 844 square meters O974 square meters O2, 794 square meters O1, 256 square meters
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What is the present worth of these future payments (a) 25,500 eight years from now at 12 compounded annually (b) 58,000 twelve years from now at 4 compounded annually (c) 25,000 nine years from now at 6 compounded annually (d) 35,000 four years from now at 9 compounded annually Click the icon to view the interest factors for discrete compounding
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Let 1 2 P 0 1323 13 13 13 12 3 3 2 3 3 3 0 be the transition matrix for a Markov chain with three states. Find p. p What proportion of the state 2 population will be in state 3 after two steps
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5) 9 of the students in a Biology class passed a Biology test. If these students are 60 of all the students in the class, how many students are in this Biology class Round your answer to the nearest whole number if necessary. 24
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054312 3.32 Vol 4G KBS LTE 69 Chegg Time remaining 000956 Trigonometry You want to invest 1,000. Which growth curve would yield the largest principal 5 years from now 10 years 20 years Hint Show all the forecasts. a. yt 1,000e0.040t b. yt 1,000 48t c. yt 1,000 9 5 Year Curve a Curve b Curve c 10 20 522 Answer Skip Largest Principal Exit
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Consider the following set of vectors. 3 V V 4 Let V, V2, and V3 be (column) vectors in R3 and let A be the 3 x 3 matrix V1 V2 V3 with these vectors as its columns. Then V, V2, and v3 are linearly dependent if and only if the homogeneous linear system with augmented matrix A10 has a nontrivial solution. Consider the following equation. 3 C11 4
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For the universal set, U 5, 6, 7, 8, 9, complete the parts below. Write your answers in roster form or as . (a) Suppose B5, 8, 9. Then what is B B 0 (b) Suppose we know that C 5, 6, 9. Then what would C have to be C
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19 Using the substitution method, the solution to the linear systemx2y3 and yx4 is a. (1,3) b. (5, 1) c. (11) d. (11,4) 20 Using the elimination method, the solution to the linear system 4x3y9 and 4x9y21 is a. (2,2) b. (3, 1) 21 What is the product (8x10)(9x11) B 72x178x 110 b. 72 178x110 c. (3,2) d. (1,3) c. 72x2x110 d. 72x2x110
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on a variablecosting system. The firm has just adopted variable costing for its internal reporting. HUBER CORPORATION Income Statement For the Month of November (in thousands) Sales 2,400 Less variable cost of goods sold 1,200 Contribution margin 1,200 Less fixed manufacturing costs at budget 600 Gross margin 600 Less fixed selling and
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A ping pong ball is drawn at random from an urn consisting of balls numbered 2 through 10. A player wins 1 dollar if the number on the ball is odd and loses 1 dollar if the number is even. What is the expected value of his winnings Express your answer in fraction form. A card is drawn at random from a standard deck of playing cards (no jokers). If
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Solve following linear system by the elimination method, if possible (if does not have a solution leave answers blank) 0.3x0.7y1.3 2x0.9y 0.2 The value of x is (keep answer as reduced fraction) enter or sign for the value of x numerator of x is denominator of x is The value of y is (keep answer as reduced fraction) enter or sign for the value
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Find all of the eigenvalues of the matrix A. separated list.) A 32
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Write the quadratic equation in standard form 3223x92
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2. (5 points) If the graph of y f(x) is shown below, sketch the graph of y sure to label inflection points clearly. 4 2 2 4 2 4
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6. 10 a) Give the general solution to xy xy (x5)y 0 in terms of Bessel functions. b) Give the general solution to xy xy (x 9)y 0 in terms of Bessel functions.
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Given x 15cm 28 Find the grey area Answer 51.27 2 B B A
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15 Solve the nonlinear plane autonomous system by changing to polar coordinates. Describe the geometric behavior of the solution that satisfies the given initial conditions(s). x x yx y y y xx y, X(0) (1,1).
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3 Points DETAILS he terminal point P(x, y) determined by nt (1313)
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Let v be the vector from initial point P to terminal point P2. Write v in terms of i and j. P1 ( 3,2), P2 (6,1)
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(a) Ope p, v p p, v Ot t, z (b) t t, z 04 3, 4, 5 (c) 04 3, 5, 6 O 9, 11, 13 1, 3, 5, 7, ... (d) O 9, 11, 13 1, 3, 5, 7, ...
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Why might a country impose a tariff on imports To send a message to the producing country that its products are worth less than it thinks To prevent an embargo To give the imported goods additional value, making them more attractive in the marketplace To protect domestic producers of the same goods
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In supply (and demand) problems, y is the number of items the supplier will produce (or the public will buy) if the price of the item is a. For a particular product The supply equation is y 3x442 The demand equation is y 5x610 Solve this system of equations to determine the point at which the two lines intersect. Give your answer as an ordered
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What type of variability occurs with no human intervention or error
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14. Find an LU factorization of the given matrix 30 9 5 357 1 4 211
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Find the orthogonal projection of v onto the subspace W spanned by the vectors u,. (You may assume that the vectors u, are orthogonal.) F 4354
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A Determine whether the graph is a function. If it do range.
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Find the leastsquares solution of the system 2 1 5 1 1 1 9 1 1 5 1 1
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What does it mean if the slope of a line is 0 Choose the correct answer below. A. A line is horizontal when its slope is 0. OB. A line is neither vertical nor horizontal when its slope is 0. OC. A line is vertical when its slope is 0. OD. It is impossible for a line to have a slope of 0.
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Determine the number of 5 card hands that have at least one club in them For the toolbar, press ALTF10 (PC) or ALTFNF10 (Mac).
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2. A road has an elevation change of 23.2 feet in the horizontal distance of 1400 feet. What is the grade of the road, in percent (3 points)
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3. The height h, in meters, of a car above the ground as a Ferris wheel turn can be modelled using the function h B0 sin () CD, where t is the time in seconds. a. Determine the average rate of change of h over each time interval, round to three decimal places. i. 5s to 10 s ii. iii. 9.9 s to 10 s 9.99 s to 10 s b. Estimate the value for the
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In the study of population dynamics one of the most famous models for a growing but bounded population is the logistic equation dP P(abP), dt where a and b are positive constants. Although we will come back to this equation and solve it by an alternative method in Section 3.2, solve the DE this first time using the fact that it is a B equation.
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