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Mathematics Questions and Answers April 30, 2023

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3.10. In an office there are > computers identified by serial number 1, 2, 3, 4 and ). Two computers are selected by two persons who work at ()different working hours, (ii) same working hour. Find the probability that sum of the numbers of the selected computers is (a) 8 or first selected computer has the number 3, and (b) 6 given that second
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Hello Tutor, please help me with these ten math problem. I would really appreciate your quick help. I would leave a thumbs up and a good feedbacks. Thank you so much?? PLEASE WRITE NEATLY AND CLEARLY so I can understand properly. For the following exercises, lines L1 and L2 are given. Determine whether the lines are equal, parallel but not equal,
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Question 22 What is the strength of the following correlation? 0.789 0 Weak 0 Moderate 0 Strong 1 pts
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When a cable is hung between two poles, it takes the shape of a curve y = f(x) that satisfies the differential equations: a(d 2 ^2y / dx ^2) =1+( dy / dx )^2 where a is a constant that depends on the lienar density of the cable, the gravitational acceleration, and the tension in the cable at its lowest point. SHow that the function is a solution

2. fx}= 912 Domain Asvm ptotes vinte rcept xinterce pts HI} = Use the number line below to determine the intervals where x] is increasing and decreasing. dh Intervals where fix} is increasing Intervals where f(x} is decreasing Local Minimums Local maximums x)= Use the number line below to determine the intervals where x] is concave up and concave
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1) 3 years in the future it will cost $42 000 to replace a family minivan. To prepare for the expense, the family invests weekly into an account that pays 6.6%, compounded weekly. 2) a) What weekly deposits should the family make to ensure they have enough for the van in 3 years? I 3) b) How much interest did the family earn on their investment
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For the following circuit, in how many cases the output X gets the value 1? B X O 0 4 0 8 O 2 0 7 OO
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Prove that for any natural number N, there exists N consecutive integers none of which is a power of an integer with exponent greater than one.

This relation is a function: {(- 2, 1), (- 1, -4), (0, 2), (1, -1), (2, 9) true or false?

find the margin of error for the given values c,s, and n C 0.95 ,S 2.2 N=24

tan tan - 5 6 Find the expression that is equivalent to 1 + tan - tan 5 6 Choose the correct answer below. O A. tan 5 tan 6 O B. tan 15 19x O C. tan 30 29 O D. tan 30
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hey, i'd appreciate it if someone can help me. In a pond ecosystem, green algae (A) produce energy from sunlight via photosynthesis, sh (F) eat the algae and consume some of that energy, and bacteria (B) decompose the dead algae and fish to obtain more of that energy. Set up a discrete-time model to track the energy through such an ecosystem,
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Hillary works for a company that offers 75% matching on all of her retirement contributions.For the last 32 years, Hillary has been depositing $200 each month into her 401(k) savings account that pays 4.99% interest annually.After 32 years, how much money has been deposited intothe 401(k) by both Hillary and her employer? Round your answer to the

Thank you! Problem 2. Let CJa, b be the vector space of continuous functions on a closed interval [a, b] C R and fix a function g E Cla, b]. Prove that (,g) : C[a, bj - R f -> (f,g) = / f(t)g(t) dt is an element of Ca, b]*, that is, a linear functional on Cla, b]. Notice that this is one part of the definition of an inner product on Cla, b.
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Given the point and slope, write the equation of the line using Point-Slope formula. Put your final answer in slope-intercept form. 14,2); slope = 3 2. (0, 3); Slope = -2 3. (1,-7) ; slope = -1 4. (-5, -3); slope = 5. (-8, 6); slope = 6. (9, -4); slope = 7. (6, -6); slope = 8. (9, -4); slope = 9. (-2, -11); slope = 4 10. (-4, 0); slope =
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1.a)Derive the Taylor series of second order for expanded about a = 16. (8 marks) b)Estimate using the formula that you have derived in (a). (2 marks) (8 marks) f( x) - f(a) + f'(a)(x -a)+ f" (a) 2! (x - a)2
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find the extreme points of the region defined by the following inequalities: (x1) + 2(x2) + (x3) =0

2. The data points at the right are given. It is desired to t a "multiple regression" model of the form y=m++r Find the least Squares 1value of B and calculate and display the residual vector 3. Note: You will get a 3x3 matrix and you may use any online technology to calculate the inverse. I recommend: h :fwwwbluebit.
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3. International Conventions overhead costs to produce the 3 day Marketing Conference is $90,000 and their advertising costs are $50,000. They estimate that the variable costs for each attendee including meals and materials are $350. They are charging a registration price per attendee of $1,500. a. Calculate contribution per unit? b. Calculate
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step by step explanations for each operation please \fIf A is diagonalizable then A- is diagonalizable. True or False? (No answer given)
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Differential Equation and Linear Algebra 12. Write down, but do not solve the non homogeneous linear system Mx" = Kx described in the Figure below. where x(t) = [ri(t), my(t)]. mi m2 ko k1 0 k2 x1(t) x2(t The parameters are my = 1, my = 2, ko = 1, kj =3, and ky = 2. (a) Specify M: (b) Specify K
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Suppose the probability that a person will develop hypertension over a life time is 0.2. What is the probability that exactly one (1) hypertensive over a lifetime among 20 students graduating from the same high school class? I know the answer but I'm a bit confused on how we got 0.0576 as the answer thank you!

Multiply and write the results in standard form (2x+1) (x+3)

PLEASE HELP Develop an amortization schedule for the loan described. (Round your answers to the nearest cent.) $130,000 for 3 years at 8% compounded annually Period Payment Interest Balance Reduction Unpaid Balance $130,000 866.67 8690.88 $ 48884.76 $ 86599.06 2 $ 43529.97 $ 5354.79 48884.76 $ 146654.19 43069.09 $ 1741.85 $ 44810.94 $0.00 Need
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I need work shown! 1. What are the first 5 terms of the sequence where a, = 4 and an = 10 - 3an-1
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What is the simplified form of^6x^6x ^6x ^6x? 1),x^2/3 2),x^3/2 3),4 ^6x 4),^64x What is the simplified form of^3x^2 ^3x^2? 1),x ^3x 2),^3x 3),x 4),x^4/9 Which of the following represents6x ^3/4inradical form? 1),^36x^4 2),^46x^3 3),6^3x^4 4),6^4x^3 Which of the following represents6^x^5in exponential form? 1),5x^6 2),6x^5 3),x^ 5/6 4),x^6/5

d. Ihaarngo, [ch produces a GPS device that is becoming popular in parts of Scandinavia. When Thaarugo produces one of these a printed circuit board (PCB) is used, and it is populated with several electronic components. Thaarugo determines that it needs about lj of this type of PCB each year. Demand is relatively constant throughout the year, and
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Session 9 Homework VERNA COMPANY Statement of Cash Flows (Partial) For Year Ended December 31, 2019 Operating Activities: Net income Adjustment for noncash income items: Add: Depreciation expense Add: Patent amortization expense Add: Depletion expense Add: Amortization of discount on bonds payable Add: Loss on sale of land Less: Amortization of
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1. For each of the following story problems, write a division problem that solves the problem. give an appropriate answer to the problem and say which of the two interpretations of division is used [the "how many groups?" or the "how many in each group?\" interpretation]. [6.1] [a] if a box of laundry detergent costs $5 and washes 33 leads of
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Solve the quadratic equation using the quadratic formula. Express the solution in standard form. 10) 6x2 - 5x + 3 = 0 5 /47 B) 47 C) 5 47 D) 5 A) $12 + 47 12 12 12 12 12 12 + 12
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Must show work 6. A computer virus infects an e-mail account and sends itself to 4 new accounts. The next day, each of those accounts sends the virus to 4 other accounts, and so on. How many accounts are infected with the virus after five days
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I need help figuring this out please refer to the screenshot thank you in advance! Consider the following random sample of data: 13, 24, 29, 16, 21, 5, 8, 3, 106, 19 a) What is the median of the sample data? Round your response to 2 decimal places. Number b) If the outlier is removed, what is the median of the remaining sample data? Number
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1) Watch the video on iLearn, \"Layout at Arnold Palmer's Hospital\" and answer the following questions: a. What are the advantages of the circular pod design over the traditional hallway layout found in most hospitals; b. Why are servicescapes so important at the Arnold Palmer hospital? How is it used in their layout design
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Automobile Registrations by Year .. 15 E\" y = 0.3949x - 778.7 g 2 14 E 12 .E .. 7; 1o ..... o g 8 'I'. 174 5 _. '31,? g 4 0 ' 2 3 2 D g o 3 1975 1980 1985 1990 1995 2000 2005 2010 Year Use the model to nd the expected number of automobile registrations (in millions) for year 1,983. Express you answer as a decimal rounded to the nearest hundredth.
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LetVbe a finite dimensional vector space andT:VVbe a linear transform. (i)Prove that if rank(T)= rank(T 2 ) (T 2 =TT, composition ofTwith itself ), then range(T) ker(T) ={0}. (ii)Give an example to show that if rank(T)= rank(T 2 ) does not hold, the conclusion in (i) may not be true.

1. [lpt] Consider the description of two objects below: Object A Object B Feature 1 3 9.1 Feature 2 2.1 0.7 Feature 3 4.8 2.2 Feature 4 5.1 5.1 Feature 5 6.2 1.8 We can reason about these objects as points in high dimensional space. Consider the two different distance functions below. Under which scheme are they closer in 5D space? (a) Euclidean
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Find the axis of symmetry of the parabola defined by the given quadratic function. 3) f(x) = (x + 2)2 + 4 A)x=2 B}y=-4 C}x=-2 D)y=4
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need help with this review questions P.a) Using the orthogonal set create a matrix U with orthonormal columns. U = b) Use your matrix U to verify Theorem 6. c) Is your matrix U an orthogonal matrix? Explain
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Find an antiderivative of the following function. \f
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A rich man put up a thrust fund in the bank with the instructions to give her daughter the earnings of Php600,000 at the end of every three years and to continue until the 18th year of the deposit when the daughter could get the Php600,000 earnings and the principal. What is the amount of money placed in the thrust fund if guaranteed interest is

I need work shown! 4. An investor has purchased $5055 of a stock that increases in price by 12% each year. How much can she sell the stock for after 5 years
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1. Which of the vertices of the feasibility region for the system of linear inequalities graphed below minimizes the objective function ? A. B. C. D. 2. Let How many subsets does the set F have? A. B. C. B. 3. Let Universal set = Which of the following lists the members of the set A. B. C. D. 4. Use the Venn diagram shown below to list the members

Examine these quadratic graphs. The black parabola is the parent function, y = x 2 , which is actually in the vertex form of a quadratic equation. The other four graphs are generated by manipulating this parent function. You know what each term means in this vertex form: y = a(x - h) 2 + k . You know about the maximum and the minimum of a
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A communications tower is located at the top of a steep hill, as shown. The angle of inclination of the hill is 68. A guy wire is to be attached to the top of the tower and to the ground, 168 ft downhill from the base of the tower. The angle formed by the guy wire is 11. Find the length of the cable required for the guy wire

need help on circled question 8.16 Let Xbe a set and let ) C X. Show that {f ESx/(y)=y for all yer} is a subgroup of Sx. 8.17 For which n, # 2 2, do the cycles in S, form a subgroup? Do the odd permutations form a subgroup? 8.18 We have seen that if G is an abelian group and ne Z* then (x EGx=e) is a subgroup of G. Give an example of a group and
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try this question Delow Evaluate the expression ( - 1 + 22) (2 + 22) and write the result in the form a + bi. The real number a equals The real number b equals Submit
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Hi I'm confused using the vector region. How should I approach the orthogonal projection? N - o - - orthogonal complement of W? Consider the plane W in R' defined by x + y + z = 0. Which of the following vectors is in the
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A driver has something to do with his or her chance of getting into a fatal car crash. The bar graph shows the number of fatal vehicle crashes per 100 million miles driven for drivers of various age groups. Forexample, 25-year-old drivers are involved in 4.1 fatal crashes per 100 million miles driven.Thus, when a group of25-year-old Americans have

Could you explain how to show thm 6.3? I don't know how i should bring the concept of limit point here. I would like to know how to prove this using definitions listed below and the definition of limit point(if possible) Theorem 6.3. If X is a compact space, then every infinite subset of X has a limit point. Definition. Let A be a subset of X and
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Use thefoiiowieg information to answer the next question. Without the wind a plane can travel 24M Itm in the same time it can travel 2WD km with the wind. The plane's speed is 5D lanfh faster with the wlnd than without the wind The chart below summarizes this information. The following equation models this information. 2TH! _ 24M x+ 5i] - x
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Thank you for your time The motion of an object can be described by its as a function of time. O a. Velocity O b. Position O C. Acceleration O d. All of the above O e. None of the aboveQUESTION 13 Damping forces act upon a system to increase resonance 0 True 0 False QUESTION 14 The primary wave properties include the following... C] a. Resonance
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step by step explanations for each operation please Every diagonal matrix is diagonalizable. True or False? (No answer given) If an n X :1 matrix has n distinct eigenvalues then it is diagonalizable. True or False? (No answer given)
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1.solve for z using Cramers rule . a)2x-2y-3z=0 b)x+y-4z=5\5x-y-7z=-1 c)5x+7y=-2 d)3x-4y=-3 2..solve by using either Substitution or Elimination method a) 2x+3y=-7 x=-3y+1 b)4x-5y=1 3x+2y=-1 3...the product of 2 integers is 32 , and their sum is -12. Find the integers .

step by step explanations for each operation please If the eigenvalues of an n x 11 matrix are not distinct then the matrix is not diagonalizable. True or False? (No answer given) s The matrix is diagonalizable. Note: You will need a pencil and paper for this problem! True or False? (No answer given)
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Numerical Methods The boundary-value problem y =4(y-x), 0Sxs1, y(0) =0, y(1) =2 has the solution y(x) =e' (e* -1)-1(ed -e") +x. Use the Linear Shooting method to approximate the solution, and compare the results to the actual solution. Take h = =
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I am need help with these questions. Can you pls help (5,Al-)[A,d-) nouserefni arif to 2. Graph 3. Write an inequality for the graph shown. 3x+ 4y53. AV 8- -10 -8 6 -4 -2 2 4 6 8 10 -8 -6 -4 -2 x 4. While on a business trip, Bruce pays $60 per day to rent a car, plus $0.30 per mile driven. Bruce's company will reimburse him at most $360 for the
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Consider the ring of Gaussian Integers Z[i] and the ring Z17 of integers modulo 17. Prove that there are two surjective ring homomorphisms : Z[i] > Z17. Hint: first prove that (i) is either 4 or 13.

Linear Algebra This Question: 2 pts 16 of 20 (0 complete) Determine if the matrix below is invertible. Use as few calculations as possible. Justify your answer. 4 57 5 0 13 6 0 028 0 0 01 Choose the correct answer below. A. The matrix is invertible. The given matrix is not row equivalent to the non identity matrix. O B. The matrix is not
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1. It is important to repeat bad news several times to make sure the reader understands it
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9) A construction worker is building a ramp for a packing plant so semi-trucks can unload their cargo of hogs or cattle. The ramp will be a triangular chunk of cement. In order for the semis to just back up to the cement amp and unload, the ramp must be 4 12 feet tall. To allow for a reasonably steady walk down the ramp by the nimals, the ramp
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Use the following information to answer the question(s) below. Company Ticker Book Price Earnings Value per Share per Share per Share Abbott Labs ABT 54.35 3.69 13.79 Bristol-Myers-Squibb BMY 25.45 1.93 7.33 GlaxoSmithKline GSK 41.3 3.15 6.03 Johnson & Johnson JNJ 62.6 4.58 18.27 Merck MRK 36.25 3.81 10.86 Pfizer PFE $18.30 $1.20 8.19 35) Assuming
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The town of Fort Nowhere, Northwest Territories, is close to the Arctic circle. The day length there varies from two hours on December 21st (day 355 of the year) to 22 hours on June 21st (day 172 of the year). The hours of day light can be modeled approximately by the equation where h represents the hours of daylight and t represents time in days

7. A chemistry experiment is performed to analyze the amount of hydrogen gas released during a particular chemical reaction. The following readings were taken. Time (1: m I. Amount of gas released y cm3 a. It is suggested that x and y are related by the equation y = ax3 +be + cx+d. Find suitable values for a, b, c, and d. b. Using your equation.
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Show all work to factor x 4 17x 2 + 16 completely. I'm very confused on this problem, and don't even know where to start. Any help is appreciated!

Linear Algebra Given the three matrices 2 4 55 1 1 A( 11 2)*B(1 4.1)15(2 3) {a} Show that SB 2 AS fb} With}r can you conclude that B is similar to A (by the denition on page 1'95}? ELI-[plain briey. {a} Let L be the linear operator with the standard matrix representation A {so L[x) = Ax). Is B a matrix representation of L with respect to some
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number 2 3 help me 106 a) Find the values of the house price adjusted to the end of year 2012. (12pts) b) Hence, work out all the remaining values of nominal price and index number. (9pts) c) If the index number of the real data in 2010 is 97.4 and the nominal price is $101, find the rate of inflation for 2011. (6pts) Fill in the table with all
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step by step explanations for each operation please Find the eigenvalues and corresponding eigenvectors of the matrix 0 0 1 0 1 0 1 0 0 Note: you will need a pen and paper for this problem! The eigenvalues and corresponding eigenvectors are 2.1 = . :3.) U3 II Is the matrix diagonalizable'? The matrix is (No answer given) : . The matrix cos(70)
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Please solve in detail possible. 2. Apply Dijkstra's Algorithm to find a shortest path from A to E, also write steps wherever B C D A 9 6 14 A K 10 L 15 E 1 5 5 12 H 11 G 11
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I need help 1. Solving system of linear equations with complex coefficients. (a) Write 1 + i, - bai and in polar form. (b) Solve the system of equations (1 + i)x + 2y = 0 -x+ (- stygi)y=0
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Find an equation of the line that passes through the two given points. Write the equation in slope-intercept form, if possible. passes through (5,3) and (7,3)

Question 19 If possible, find all values of k such that there are no T-intercepts for f() = 2/x + 1| + k. If there is no such value of k, then type DNE. Otherwise give your answer in interval notation. Submit Question' Question 1E: The transformation of a function ts} into a function 9(3) is given by {3(3) = Az + H] + K. where the constants I A
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11. During scal 2016, Kohl's had sales of $18,686 million. Cost of merchandise sold of $11,944 million, and gross prot of $6,741 million. What was net income for 2016? A) $ 6.741 million B) $11,944 million C) $ 5,299 million D) $18,686 million E) There is not enough information to calculate the amount
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Find a 33 matrix T such that Tx represents a translation of [8 1 ] for all x in the x-y plane. ( x is a 3-dimensional vector with a dummy coordinate of 1 in the third entry).

Financial Report Worksheet Directions: Complete the financial report worksheet to help you with your calculations to create the APA report. 1. Go to your financial institution's website or a local financial institution's website and find the interest rate and compounding frequency (monthly, quarterly, annually, and so on) for a savings account.

I need help with this. Suppose that a family wants to fence in an area of their yard for a vegetable garden to keep out deer. One side is already fenced from the neighbor's property. (a) If the family has enough money to buy 180 ft of fencing, what dimensions would produce the maximum area for the garden? The dimensions that would produce the
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I need help with all parts of this question. Please explain step by step. The following graph and table represent a relationship where y varies exponentially with respect to z. Use the graph to complete the exercises that follow. "- ' Di'agtheparplethonthez-aicistovarrie initial value of 2:. The coordinates of the two points are shown in the
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need help with algebra hw, no explanation is needed..thank you 5:; which of the following relations is nut a function? A. ,9 Type here to search Recycle Bin LMS X * Course Hero Microsoft Word - x i Ravinder K. Manki x + 0 X O A Not secure | https://my.americanhighschool.org/stud... > . .. C. D. OA O B 1 of 10 NEXT - Type here to search m 10:22 AM
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A field currently holds 20 tulips.The number of tulips will grow by 70% each year.The field can only sustain 300 plants.Use the logistic growth model to predict the population in the next 3 years.

Jenson SawLogs borrows $34,500 to buy a new electric generator. The company agrees to make quarterly payments for 2 years at 10% per year. Find the amount of the quarterly payment.

Solve the nonhomogeneous linear system of differential equations (d/dt)u = (10 7 (1 8 9) u - 9e^(8t) * 1) \f
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need help with these review questions 1. a) What is the definition of an orthogonal set of vectors in R? b) What is an orthonormal set of vectors? 2. What does Theorem 4 say about an orthogonal set of vectors
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An equation that defines y as a function f of x is given. a) solve the equation for y in terms of x, and replace y with the function notation f(x). b) Find f(3) x+2y = 14 f(x) = f(3)=

Lebesgue Integrals Exercise 11: Answer 15-18 Exercises 11 Math 250 October 7, 2020 Given 1. a measure space ([2,.F, P) and 2. a simple, non-negative, measurable function X on {2. Show that 3. the function : .7: > [0,00] E v> / X dP E is a measure on (QT). That is, that 4. 13 is countably additive, and 5. 15 is not identically 00. First, verify
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Procedure: You are Fred's friend and you want to help him prove his point. You volunteer to use Hamilton's method, Jefferson's method, Webster's method and Adams\" method of apportionment to determine which method is the \"most fair\". 1\"\". mm 1) a) List the apportionment for each method. b) Considering all four methods of apportionment, which
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At the beginning of a population study, a city had260,000people. Each year since, the population has grown by1.1%.Lettbe the number of years since start of the study. Lety be the city's population.Write an exponential function showing the relationship betweenyandt.

Stock x 06-04_ x 06-05_ x 06-06_ x https:/x K 06-03_ x a Senior x B Quizze x / Desm arn.com/d21/Ims/quizzing/user/attempt/quiz_start_frame_auto.d2/?ou=71622&isprv=&drc=1&qi=865.. or Time Left:0:57:50 Samantha Gaddison: Attempt 2 Solve the problem. An airline with two types of airplanes, P1 and P2, has contracted with a tour group to provide
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1.I have a friend with a furniture company that has determined when ' x ' hundred wooden chairs are built, the average cost (C) per chair (x) is given by the following equation: C(x) = 0.1x 2 - 0.7x + 1.625 C(x) is in hundreds of dollars.How many chairs should be built in order to minimize the average cost per chair?

11. You would like to see the cumulative salary for each job after 20 years and wish you had function rules for C (t) and C, (t). Your math major friend develops the following: C (t) =525t- +32575t and C, (t) =31500(1.039' -1)/0.039. Use these function rules to find the cumulative salaries after 20 years. Show your calculations. Round to the
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can someone explain this question in detail , and please explain the solution you have given

Solve the system of equations by the addition method 10x-7y=6 2x+5y=14

Financial Mathematics Let e be a given integrable function. For each (t, s) E R define B(t, s) = exp E(T) dT. Show that the function B obeys the Principle of Consistency, i.e., B(to, tn) = B(to, t1)...B(tn-1, tn)
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Solve the systems of equations. Write in set notation x-3y=7 2x+y=-7

15 Contin X B Begin B Begin H Begin. 1 Begin 279085 X S Find a linear GION a palmbeachstate.blackboard.com Question 12 4 4 4 Find the inverse of the matrix 12 20 16 12 24 20 Question 13 Write the system of linear equations represented by the augmented matrix. Then use back-substitution to solve. (Use variables x, y, and z.) 17-16 01 1 -2 0 0 1 -3.
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question in the pic The one-to-one functions g and h are defined as follows. 8=1(-6, -8), (-4, 3), (3, 8), (9, -1)) h (x) =3x+14 Find the following. 8 (3 ) = 10 h ( x ) = 0 X P (hoh) (- 2 ) = 0
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Using the following data, test the question of whether an equal number of Democrats, Republicans, and Independents voted during the most recent election. Test the hypothesis at the .05 level of significance. Republican 800 Democrats 700 and Independents 900.

1. (True or False?) The matrix is in row-echelon form. 2. (True or False?) The system of equations corresponding to an augmented matrix that has all entries 0 in the last row of its row-echelon form will have exactly one solution. 3. (True or False?) A system of linear equations that yields the augmented matrix is an inconsistent system and has no

Tools Numerical Response Use the following information to answer numerical-response question 3. 3. Using the numbered directions given in the information box, match the direction of the field at Point P in each diagram as described below. Diagram I Diagram II Number: Electric Field Magnetic Field Description: Direction of the Direction of the
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Directions: Write a equation for the function described. Then find the input. The output of a function is 13 more than 4 times the input. Find the input when the output is 17. The output of a function is 7 more than 1/2 of the input. Find the input when the output is 19. The output of a function is 16 less than 5 times the input. Find the input

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