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Mathematics Questions and Answers February 13, 2023

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Which method of solving would be the most efficient in solving 16x^(2)-40x=-25 Square Rooting Factoring Completing The Square Quadratic Formula 2. 6 BigBlueButton - Period 6 OX S Schoology X Homework Help - Q&A from Onl x DO Mathway | Algebra Problem Sol X New Tab X + X C D
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OQ3.10. To someone who is not aware of fundamental TVM principles, which rate, the APR or the EAR, i.e. APY, would be most informative to them regarding the actual annual interest rate they are being charged on a consumer loan? (FYI, historically under "truth-in-lending" requirements, consumer loan laws have required lenders report the APR to the
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1= -2x + 2 = 2x - 6 First graph each line, then place a dot indicating the solution to the system. -5 -4 -3 - 2 -1 2 4 Clear All Draw: Line Dot
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Question 8 of 10 The function O(t) = Q e-k may be used to model radioactive decay. Q represents the quantity remaining after t years; k is the decay constant, 0.00011. How long, in years, will it take for a quantity of plutonium-240 to decay to 25% of its original amount? A. 3,150 years B. 9,450 years O C. 12,600 years O D. 1,575 years SUBMIT
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Let u, v, and w be vectors in R3. Consider the following statements. (i) uv ||u|| (ii) (uv)w (iii) ||(||u||v)|| Determine which of the above statements make sense mathematically (1) or do NOT make sense mathematically (2)

A barnyard has cows and chickens. there are 34 heads and 86 legs. if w represents the number of cows and k represents the number of chickens: a) create a linear system of equations to model this situation b) solve the linear system to find the number of cows and the number of chickens in the barnyard c) verify your solution by providing a

A pool can be filled by one pipe in 9 hours and by a second pipe in 3 hours. How long will it take using both pipes to fill the pool? It will take about hours to fill the pool using both pipes. (Type an integer or decimal rounded to the nearest tenth.)
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me solving these .....thank you 1. Find the equilibrium solution for the following system x`= 3x 7y 9, y = 2x + 6y + 3 2. Transform the given IVP into an IVP for three first order equations. 8u 7u + 6u 5u = 4, u(3) = 9, u(3) = 10, u(3) = 11

Find the zeros of thefunction, and their multiplicities. f(x) = x 3 8x 2 x+8 The zeros of the function are x= ______. Each zero has multiplicity _______

If there are 100 units in 1 ml, the how many ml's are needed for 28 units
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wer boxes to complete your choice. and if necessary, fill in the ans 3

Can someone help me answer these questions.. I am confused.. the problem is 0. 55 .\\ ( a ) What is the probability that the problem will be solved by at least one person ? ( b ) If you find out later that the problem has been solved by at least one person , what is the conditional probability that Tom solved it ?" |X
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Let {Wt: t2 0} be a standard Brownian motion. We call the solution {Xt: t2 0} to the Langevin equation Xt = Wt+/ Xsds the Ornstein-Uhlenbeck process. In particular, it is used for modeling short-term interest rates. 1. A first method to solve the Langevin equation: using the product formula for Ito processes, compute e-txt and deduce what a

2. Show that if u is a solution of au in D Vu+ D(x, y) + E(x, y) du =-F(x, y) ax ay with F
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Answer all of the questions below in order to determine the volume of the rectangular prism. 4 10 6 How many cubes are currently in the prism
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8. True or False? Box-whisker plots are useful tools in comparing the mean and the distribution of two or more variables broken down into different categories
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A city's population in the year - 1996 was y = 1,953,000. In 1961 the population was 1,940, 750. Compute the slope of the population growth (or decline) and choose the most accurate statement from the following: O The population is increasing at a rate of 500 people per year. O The population is increasing at a rate of 450 people per year. O The
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Triangle ABC is similar to triangle DEF. Find the scale factor and determine the area of triangle DEF. B 10 cm 5 cm D F A C Area of AABC = 36 cm2 The area of triangle DEF is square cm. (leave off units)
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the orthonormal basis of the subspace spanned by the vectors is StartSet nothing EndSet The vectors v1 = 1 5 and v2 = 5 form an orthogonal basis for W. Find an orthonormal basis for W. 4 1 6 u 32 of 35 (0 complete The orihonon'nal basis of the subspace spanned by the vectors is {D}. (Use a comma to separate vectors as needed.) i. Question Help
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6. Modelling task Ham Hop's historical case is one of the most-cited THE LAW CARRIED OUT 217 examples of the injustice and unfairness of the White Australia Policy in the early decades of the twentieth century - except mostly Ham Hop's name doesn't appear in such discussions. If she is referred to directly, it's mostly as Mrs Poon Gooey or Poon
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Maggie is standing in her front yard and measures the length of the shadow she casts, as well as the shadow, cast by her house.Her shadow is 8 feet long and the shadow of the house is 60 feet, long.If Maggie is 5 feet 2 inches tall, how tall is her house to the nearest foot?

Please answer exercise 7. Write legibly and in complete sentences. Thank you! Exercise 7 . Let A be an infinite set and let B be a set such that A is equinumerous to a subset of B. Show that B is infinite . 13. 24 Remark . It is possible for an infinite set to be equinumerous to a proper subset of itself . For instance , the set w = $0. 1 , 2 .
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Instructions Complete these problems on a separate sheet of paper (or on a tablet/iPad). Your work should be neat and the problems should be completed in the correct order. Submit the assignment as a PDF on Blackboard. . You may use a calculator or online app to find the zeros of the characteristic equation. Make sure that your answers includes
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8) A 10 kg weight stretches a spring that is hanging om the ceiling by 2 m on coming to rest at equilibrium. The weight moves through a medium offering a damping force numerically equal to 3 times the instantaneous velocity. The spring is subjected to an external force F (t) = 20 cos 4t Newton. If the weight is released from a point 1 m above the
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Please provide the proof of this following question. 46.11 (Banach's theorem) Let f be a contraction mapping on a complete metric space M. (See Exercise 44.7 for the definition of a contrac- tion mapping.) (a) Let x, EM. Let Xn+1 = f(x,) for n = 1, 2, .. . . Prove that {x,} is a Cauchy sequence in M. (b) Prove that if x = lim,-> X, where {x,} is
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Evaluate results 6. Evaluate each of the following series by evaluating each term and summing the results. (2 d.p.) E(1-72 ) [(2Vi) a) 1=2 b)
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Find the equation of the line which passes through the point (2,3) and is perpendicular to the line y=5.

An air conditioning and heating repair firm conducted a study to determine if the average outside temperature could be used to predict the cost of an electric bill for homes during the winter months in Houston, Texas. The resulting regression equation was: Y = 227.19 - 1.45X, where Y = monthly cost, X = average outside air temperature (a) If the

Enrique is making a party mix that contains raisins and nuts. For each ounce of nuts, he uses twice the amount of raisins. How many ounces of nuts and how many ounces of raisins does he need to make24 ounces of party mix?

3. Let 31(t)=13r+2r34:3, Ez(:)=2:+4tz, gap44:2\"? and ........ ;4(;)=_1_4t+332 +31r3 be polynomials in P3. A180, let H = Span{pl,p2,p3,p4}. a. Is the set {p1, p2, p3, p4} lineaxly independent? b. Find a basis 8 for H. 0. Does the set {pl,p2,p3,p4} span P3? d. Let 30') = -5t 8:3 . Is; in H ? Explain. If so, write the coordinates of E; with respect
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Solve the given initial-value problem. The DE is of the form dy/dx= f ( Ax + By + C ) dy/dx = cos(x + y), y(0) = /6

Examine whether the set of all matrices of order 2x2 as defined below, set V is, a vector space with usual matrix addition and scalar multiplication. QI, a2 ERR V = {
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a cube has an edge of 2.225 feet. the edge is increasing at the rate of 1.25 feet per hour. express the volume of the cube as a function of h, the number of hours elapsed

I'd appreciate a clear solution for this one :) find exact solution to the equation. 3 x- 2 - 27x * = 0
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13. Let f (x) = 2x^2 + 3 and g(x) = x - 2. (a) Find the composite function (f o g )(x) and simplify. Show work. (b) Evaluate the composite function f o g for x = - 4. That is, find (f o g )( - 4). Show work.

People suffering from pernicious anemia should: Select one: a. be given 1 mcg of cobalamin orally every day. b. be given an injection of about 100 mcg of cobalamin every month. c. be given 100 mcg of cobalamin intravenously on a daily basis. d. be given 500 mcg of cobalamin intravenously once a month

Can you please explain how to resolve this Question 18 Write the equation of the line with the given conditions passing through ( 1. 1 and parallel to the line with equation -7x - 4y - -21
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Check Your Understanding! 1. Let R be the region bounded by y = Vx , the x-axis, and the vertical lines x = 0 and x = 4. Find the volume of the solid generated when R is revolved around the x-axis. 2. Let R be the region bounded by y = x2, x = 0, and y = 4. Find the volume of the solid generated when R is rotated around the y-axis. 3. Let R be the
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6) Calculate the labour cost percentage for the week if total sales for the week were $ 26,184.74. Labour Cost (%) = Labour Cost ($) / Sales (in dollar) = 6925.2352 / 26184.74 = 0.264 = 26.4%
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please explain step by step that I can totally understand this question, thank you! Question 2: Let c be a real number and let T: M2x2 + M2x2 be the transformation defined by T(A) = A+c AT where A is a 2 x 2 matrix. (a) Find the image of 5 and 2 under T. 3 Z t (b) Show that T is a linear transformation. (c) Find a basis for Ker T and Ran T when c
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Prefix SYMBOL NUMERICAL EQUIVALENT Example of relationship between prefix and 1 meter kilo (k) = 1,000 or 1x103 (1 X 103 = 10 X 10 X 10) 0.001 kilometer (km) = 1 meter deci (d) = 1/10th or 0.1 or 1x10-1 10 decimeters (dm) = 1 meter centi (c) = 1/100th or 0.01 or 1x10-2 (note that 1 x 10P-2P = 0.1 x 0.1) _____________cm = 1 meter milli (m) =

(a) A set of solar experiments is to be made at observatories. Each experiment begins on a given day of the year and ends on a given day (each experiment is repeated for several years). An observatory can perform only one experiment at a time. The problem is: what is the minimum number of observatories required to perform a given set of

Find the degree, the leading term, the leading coecient, the constant term and the end behavior of the given polynomial. Also, I need all the steps. Z(b) = 42b b 3

A. Determine the dimensions of each of the following matrices and explain how you know. \f\f\f\f
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How many functions are there from a set of 5 elements to a set of 7 elements that are not 1-1 ? Explain your reasoning fully.

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TOPOC: SIMILARITY OF TRIANGLES SPECIFICALLY RIGHT TRIANBGLE SIMILARITY THEOREM AND RIGHT TRIANGLE THEOREM Activity 2: I am Special. Apply the theorems on special right triangles to answer the following. Simplify your answers. (for nos. 1-5, refer to figure 1) Given: ACAT is an isosceles right triangle C 1. Find CT if AC = 7. 45 0 2. What is the
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You just discovered that you have 100 feet of fencing and you have decided to make a rectangular garden. Assume the lengths of the sides of the rectangle must be natural numbers (whole numbers but not zero). List three of the different rectangles you can make using the fencing. Note the area of each garden.

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5) How much is the total labour cost for the week including the vacation pay that will be paid out a later date? LBC ($) - Total Net Pay + (1 * Vacation pay % ) - 6658.88 + (1*4%) - 6925.2352
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features of this graph. The degree of f(x) is and the leading coefficient is . There are distinct real zeros and relative extreme values
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Matthew and Rachel are having dinner. Throughout the evening, Rachel notices that Matthew has begun to talk less and lean back in his chair. This shows Matthew's tendency of ____________. Group of answer choices over-accommodation maintenance divergence convergence

Example 12: (TYPE I) At a restaurant, the bill comes to $51.23. If you decide to leave a 14% tip, how much is the tip and what is the final bill? Round to the nearest cent. Example 13: (TYPE II) Joyce paid $33.00 for an item at the store that was marked as 45 percent off the original price. What was the original price? Round to the nearest cent.
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4. The olive oil was received on December 1, Year 1, and payment was made on January 31, Year 2. On December 1, Zorba Company purchased a two- month call option for 50,000 crowns. The option was properly designated as a cash flow hedge of a foreign currency payable. Prepare journal entries to account for the import purchase and foreign currency
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1.How much must be contributed into an RRSP at the end of each year for 37 years to accumulate to $213 000.00 if interest is 8.04% compounded quarterly?

period cost in accordance with FASB Staff Q&A, Topic 740, No. 5, 0 Accounting for Global Intangible LowTaxed lncome, which states that a company may elect an accounting policy to either treat the taxes due on future U.S. taxable income related to the GILT] provision as a currentperiod expense or factor those amounts into their measurement of
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1.A brine solution of salt flows at a constant rate of 6 L/min into a tank that initially held 50 L of brine solution into which was dissolved 1.5 kg of salt. The solution in the tank is stirred and flows out of the tank at the same constant rate of 6 L/min. If the concentration of the salt entering the tank is 0.05 kg/L, develop the differential

11. The Dungeon Drop ride at Astro World hauls you up many meters, stops to scare you and then drops you. After free falling 1.5 s, how fast are you going? a. 11.3 m/s c. 14.7 m/s b. 22.1 m/s d. 11.0 m/s
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Real analysis problem that deals with measure and content that is covered in Spivak's Calculus on Manifolds 3rd Edition Chapter 3. Problem: Let f and g be bounded functions on a rectangle A in R^n, and f=g on A-E, where E is a subset of A with zero content. Prove that if f is integrable then g is also integrable, and int_A f = int_A g.

please help me to understand the following If = {1, 2, 3, 5, 6,7,8,9,10,11,12,13,14,15,16}. A = {2,3, 7, 9, 12,14} B = {1, 7, 9, 15, 20}. C= {3, 4, 10, 18} \f
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a The minimum score for admission is 1126. You will be admitted. b The minimum score for admission is 1141. You will be admitted. c The minimum score for admission is 1159. You will be admitted. d The minimum score for admission is 1248. You will be admitted
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Problem 1: You are an employee of Cordiallys! Congratulations! Please write a query that shows me your (and just your) Name, Address, Phone Number and Salary
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Question #1. We are given a collection of positive real-numbers r1, r2, ..., rN, such that no two numbers are the same. Using these numbers, we create two (N x N) square matrices R and S such that R is a lower triangular matrix and S is an upper triangular matrix. The (i, j)-th element of R and S are given by a(i, j) = (i, j)-th element of R =

Write the standard form of the equation of the line through the pair of points (2,3) and (3,3). The standard form of the equation of the line passing through the points (2,3) and (3,3) is given by _____?

Suppose that a sequence ( an} _ converges to - . Which of the following is the limit of the sequence { bn ),-1, defined by on = 5an + 3n? Select one alternative O The limit does not exist 0 5 0 2 0 0
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All questions Mathematica Project #1 Due date: November 05, 2019 A hard copy of this assignment should not exceed 4 pages Kingston, 10/25/2019 1. Consider the homogeneous differential equation: dy $2y+2$y2 +y3 dst: _ m3 A (a) Find the general solution of this equation by using DSolve command. (1)) Use DSolve command to find the particular
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if a person get a 0 for assignment that was worth 30% of his grade, an 100 that was worth 30% of his grade and an 98 that is worth 30% of his grade what is the average.

How many different ways can the letters of "leggings" be arranged?

On January 01, 2021, Bonnie's Barcade purchased a new virtual reality game. It cost $14,995, has a useful life of 3 years and a salvage value of $1,000. Complete the following depreciation table. IMPORTANT: In the Year column, please enter the year only (no months). When entering numbers, please do not use dollar signs or commas. HINT: Remember
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Thehalf-life of radium is 1690 years. If 90 grams are presentnow, how much will be present in 60? Do not round until the final answer. Then round to the nearest thousandth asneeded.

Infancy and Childhood Adolescence Adulthood What is Physically happening? List at least 3 List at least 2 List at least 5 What is happening? Cognitively What theories/theorists are related? List at least 3 happenings, 3 theorists List at least 2 happenings; 2 theorists List at least 2 happenings What is happening? ially
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Please show all the steps Use Laplace transforms to find Y (s) for the following differential equation. It is not necessary to find y(t). y" + 4y' + 3y = eu3(t) + 58(t - 1), y(0) = 0, y'(0) = 0
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In 2016, Alberta had about 4.2 million people. Assuming they follow the same population growth rate, it is predicted they will have 6.65 million people in 20 years. At what rate is the province's population growing?

Question 11. -101 2 10 8 6 6 8 16 Select all the ordered pairs that are solutions of the equation. A. (3, 0) B. (1, 4) C. (4, 1) D. (0, 3) E. (6, 2) F. (2, 6)
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For the following exercise, solve the system of nonlinear equations using substitution. Simplify any fractions and radicals to the lowest terms. x-y= 4 and x 2 +y 2 =25

E Homework: Section 6.2 Homework Graph the given system of inequalities 3X* y56 BxZyz Use the graphing tool to graph the system. Click to enlalge graph Selected: none Help me solve this View an example mmmwggg Get more help - A w\" Q 3 Q 6 a .. x D 71143 a a 4 vi a to q .4 .5 .3 % Eglxezemear ? _. []
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How many 8-bits strings have exactly five 1's? How many strings over the alphabet{a, b}have length 20 and exactly 8 a's?

solve the given equation for the indicated variable Solve for y: 1-2y/y+3=x Solve for T 2 : V 1 /T 1 =V 2 /T 2

given f(x) =2x 2 -9x+2, g(x) =1-6x, and h(x) =x 2 -4, find each function. Indicate any restrictions in the domain. ( f-g )( x )

Two cyclists leave towns 201 kilometers apart at the same time and travel toward each other. One cyclist travels 3 km/ h slower than the other. If they meet in 3 hours, what is the rate of each cyclist?

The population of a country in 2010 was approximately 35 million with an annual growth rate of 0.804%. At this rate, the population P ( t ) (in millions) can be approximated byP(t)=35(1.00809) t P(t)=35(1.00809)twhere t is the time in years since 2010. a. Evaluate P (0) and interpret its meaning in the context of this problem. b. Evaluate P (6)

1 Use Gauss-Jordan row reduction to solve the given system of equations. HINT [See Examples 1-6.] (If there is no solution, enter NO SOLUTION. If the system is dependent, express your answer in terms of z , where x = x ( z ) and y = y ( z ).) 8 x y z =0 x + y + z =9 ( x , y , z ) = 2 Use Gauss-Jordan row reduction to solve the given system of

How do you find domain and range of a function? What are the domains and ranges of a exponential function?

Explain why it is not possible for two of a vector's direction angles to be less than 45.

1.Draw the Hasse diagram for: A = {1,2,3,4,5} R = {(1,1),(2,2),(3,3),(1,3),(3,4),(3,5),(1,4),(4,4),(1,5),(2,5),(2,5),(5,5)} 2.For the Hasse diagram for a relation on A = {1,5,10,15,30} under divisibility Draw the diagram. What does 1 connect to? What does 5 connect to What does 10 connect to? What does 15 connect to? What does 30 connect to?

Use the given condition to write an equation for the line in point-slip form and in slope- intercept form. Passing through (-6, -5) and parallel to the line whose equation is y=-3x+5 Write an equation for the line in the point-slope form._________________ Write equation for the line in slope intercept form ________________

Solve the following system of differential equations (Simplify your solution) x' (t) = x(t) +2y(t)+t-1 y'(t) = 3x(t) +2y(t) -5t -2
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Could anyone help on the below questions and provide steps and reasoning for that? Let X be a random variable with the chi-squared distribution with m degrees of freedom, and let Y be a random variable with the chi-squared distribution with n degrees of freedom. Select all of the following statements which must be true. O X/Y has the
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For numbers 16 to 20: A virologist discovers that a certain virus replicates inside the human body by doubling every hour. If there are 6 viruses in the rst hour, 12 viruses in the second hour, 24 viruses in the 3'd hour, and the pattern continues in the hours that follow, how many hours will it take to have 3072 viruses? 1 pm in 16. What is the
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There are more than one choice is correct. Select all that apply. 2.4.4 Classify the equation as separable, linear, exact, or none of these. Note that it is possible for the equation to have more than one classification. (5x e xy + 5y) dx + (5ye Xy + 5x) dy = 0 Select all that apply. A. Linear B. Separable C. Exact D. None of these
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Let U be any set. Prove that for every B (U) there is a unique D (U) such that for every C (U), C \ B = C D.

Question 11 (1 point) Match the graph to its function: 0 a) v = -2(x+4)'+3 O b) y=2(x+4)'-3 O c) y=2(x-4)'+3 0 d) Fannus
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Shalom. Plz help me answer these two questions. Thank you. (a) Sami invests $2000 in an account paying compound interest at a rate of 1.8% per year. Calculate the total interest paid to Sami after 3 years. Answer S .......... (b) Theresa takes out a loan. She repays the loan over one year at a rate of $54 per month The total she repays is $%
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Find the 5 number summary for the data shown 1 18 20 22 29 30 31 42 47 55 63 66 72 74 99

Ms. Whitney owns and operates Aunt Emma's Pie Shop. She hired a consultant to analyze her business operations. The consultant tells her that her profit P(x) is given by P(x)=120x-x 2 ,where x is the number of units of pies she makes. How many units of pie should be made in order to maximize the profit? What is the maximum possible profit?

3. A force gives a 200 kg mass an acceleration of 2 111/52. The same force would give a mass of 1000 kg an acceleration of
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Consider the second order constant coefficient linear differential equation with initial values y '' ? 3y ' + 2y = e 3t , y(0) = 0, y ' (0) = 3 . (a) Find the characteristic polynomial q(s), then find the set B q . (b) The B q in Part (1) should contain two functions. Denote these two functions by y 1 and y 2 . Use variation of parameters to find
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4. The Kaiser Family Foundation polled 1294 residents of Orleans Parish in New Orleans in 2008 and found that 41% of the residents who had lived through Hurricane Katrina in 2005 report that their lives are still disrupted 2 . a. The poll surveyed 1294 people. We need to find approximate margin of error for a 95% confidence interval? b. The poll

transforming the graph of a function O GRAPHS AND FUNCTIONS Transforming the graph of a function by reflecting over an axis (a) The _ whofy = f (x) is shown. Draw the graph of y = -f (x). 2- X 5 ? 4 (b) The graph of y -g (x) is shown. Draw the graph of y = g (-x). X ? -2- - 1 Explanation Check
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