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Mathematics Questions and Answers April 27, 2023

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(a) Find the rational zeros and then the other zeros of the polynomial function f(x)=x 3 -91x+90; that is, solve f(x)=0 (b) Factor f(x) into linear factors.

CHALLENGE ACTIVITY 4.9 1 Coordinativetion Jump to level 1 Given the ordered basis B = A1 5 As 0 8 find A B, the coordinates of A 18 12 14 13 with respect to B Ex: 5
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e Hero Edit View Favorites Tools Help Knowledge Check Question 24 Translate each graph as specified below. (a ) The graph of y = x is shown. Translate it to get the graph of y = x - 2. (b ) The graph of y = x is shown. Translate it to get the graph of y = (x- 1)2 Part (a) X Part (b) X 4
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Hi. I need an example of how subjective probability is used in everyday life no sports or weather please. Thanks

2x = 5 - 3y I need help finding the x-intercept and the y-intercept without graphing. I need find writing the coordinates of each intercept.

Having a difficult time trying to understand this. Any help would be appreciated. The cost, in thousands of dollars, of airing x television commercials during a sports event is given by C(x) = 20 + 2,000x + 0.02xz. (a) Find the marginal cost function C'(x). HINT [See Example 1.] C'(x) = 2000 + 0.04): i Use it to estimate how fast the cost is
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A. Inductive Reasoning Approach 3. Pick a number: _________________________ Add 50 to the number: _________________________ Multiply the sum by 3: __________________________ Subtract 150 from the product: _________________________ Conclusion: _____________________________________________________ 4. Pick three consecutive integers:

Question 4 Choose the right answer out of a, b, or c for each problem (1) The vectors: a = (a) Vectors a, b, and c span R (b) Vectors a, b, and c do not span R' , but they span vector d (c) Vectors a, b, and c span a 2-dimensional subspace R3 (2) a, b, and c are vectors. Then the expression axe +bxa is (a) Meaningless (b) A vector collinear with a
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Help please I am so confused Write down the first five terms of the following recursively defined sequence. a1 =1; an+1 = 8an + 7 02 = * ag = 04 = * 05 = $ 06 =
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Please refer to the following: Write the equation of the parabola in vertex form. Assume a horizontal dilation of 1. y = a(b(x - c))' + d Vertex (3,5) and point (5,-3) V= (X+Write the equation of the parabola in vertex form. Assume a horizontal dilation of 1. y = a(b(x - c))' + d Vertex (-2,-9) and point (1,0) V= (x +Write the equation of the
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In triangles GHI and RST, G R, H S, and. Is this information sufficient to prove triangles GHI and RST congruent through SSS? Explain your answer.

A 6 inch personal pizza has 610 calories, with 240 of those from fat. A 16 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 16 inch pizza. Hint... must use Area = Pi*r^2 proportions to solve this problem.. DO NOT SOLVE BY PIECE.

Hi, can anyone help me with the nonlinear optimization homework question below? Reformulate the following nonlinear optimization problem as an equivalent linear program. min 2|:Iryl +3|2I+3y3| min{1,:I:y} (1) s.t. max{I+1,I2y+2,2I+y3} g 5, (2) I + y S 5- (3) Hint: The absolute value function is a convex piecewise linear function, Le. a max of two
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What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation? -3x^2+224=-6x+2 (part 1 of method)

Write the quadratic equation in standard form, identify the vertex, axis of symmetry and x-intercept f (x) = x^2 - 6x + 1

I am having problem of coming up with the formula of using the TVm calculator for this problem. Can you please explain this to me ,How much should you deposit at the end of each month in an IRA that pays 8% compounded monthly to earn $60,000 per year from interest alone, while leaving the principal untouched, when you retire in 30 years?

Matrices and Materix Operations

Find a polynomial function of degree 4 with minus 1 as a zero of multiplicity 3 and 0 as a zero of multiplicity 1.

Given that in IsoscelesABC ABC, baseBC BC,BE AC BEAC, andCF AB CFAB, which of the following proves thatBE CF BECF?

Write your birth date or the birth date of someone in your family as mm/dd/yy. (Example: March 13, 1981 is written 3/13/81, and November 7, 1967 is written 11/7/67). Now let a = the one- or two-digit month number, b = the negative of the one- or two-digit day number, and c=thetwo-digityearnumber.(Ourexample:a=3,b=-13,andc=81 or a=11,b=-7,andc=67)

Find all triangle which have integer side lengths with perimeter 36 and integer area. Find a three-digit palindromic number which is 19 times the sum of its digits. Find all four-digit palindromic number which is 352 times the sum of its digits. James has 3 cups of strawberry juice, 3 cups of orange juice and 3 cups of apple juice. he wants to

. For

Can you explain to me how to solve this equation? Thank you! 2) Find the measures of the missing variables in each of the following parallelograms. a) b) (n+56) (3m-12) 18 21 ( 2n + 19 ) d e (m+54) C) d) 6c+12 4f+2 42 7g 34 3c+24
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2. Frandec Company manufactures, assembles, and rebuilds material handling equipment used in warehouses and distribution centres. One product, called a Liftmaster, is assembled from four components: a frame, a motor, two supports, and a metal strap. Frandec's production schedule calls for 5000 Liftmasters to be made next month. Frandec purchases
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Graph the system of inequalities. Tell whether the system is bounded, unbounded, or empty, and find all corner points. x+7y>=21/2 y>=1/4x x>=0 y>=0 Is the region bounded, unbounded, or empty? Corner points: If there is more than one corner point, type the points separated by a comma, I.e ''(1,2), (3,4)". If there are no corner points, type "N".

The following data are the distances from the workplace (in miles) for the5employees of a small business. 12,7,2,20,4 Assuming that these distances constitute an entirepopulation, find thestandard deviationof the population. Round your answer totwo decimal places. (If necessary, consult alist of formulas.)

Part IV: Use the functions from Part I and Part III to write the piecewise function for how much an employee will be paid if he or she were to work less than or equal to 40 hours, or more than 40 hours. (2 points)
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Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 9 people, while each carton of clothing will help 4 people. Each 25-cubic-foot box of food weighs 50 pounds and each 5-cubic-foot box of clothing weighs 20 pounds. The commercial carriers transporting food and clothing are bound by the

How do I find the domains and which ones should be matched? once.) Match each of the functions below with their appropriate domains. (Some answer(s) may be used more than f(x) = x
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Ministry of Higher Education Kingdom of Saudi Arabia CSTS SEU, KSA Linear Algebra (Math 251) Level IV, Assignment 3 (2016) 1. State whether the following statements are true or false: [6] (a) The sum of eigenvalues of a square matrix is same as its determinant. (a) (b) (1,0,3) is the real part of the complex vector (2i + 1, 3i, i + 3). (b) (c) The

Please help with the following: A county is planning to expand its train service. To better understand the current service, the county planner looked at which train stations are along or not along various train lines. The Venn diagram shows this information for two of the lines. All county train stations _ (a) How many stations are along the
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The dimensions of a square are altered so that 8 inches is added to one side while 3 inches were subtracted from the other. The resulting area is 126 inches. What was the original side length of the square? I have to solve this question using quadratic equations but I'm very confused on how you would use that to solve this

(1 point) Let 6 12 13 A = 2 8 12 3 6 6 (a) Compute det(A) = (b) Use Cramer's rule to solve the following system 6x1 + 12 x2 + 13 X3 = 8 x2 4 2x1 + + 12 X3 3 X1 6x2 + 6x3 4 + X=
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Determine the number of permutations. 9 P 2 Formulate the situation as a system of inequalities. (Let x represent the number of goats the farmer can raise and y represent the number of llamas.) A rancher raises goats and llamas on his 800-acre ranch. Each goat needs 4 acres of land and requires $110 of veterinary care per year, while each llama

Problem 1 Exercise 1.2 (1), (3), (5), (10) (Abramovich and Ritov's book). For (3), can you find a scalar sufficic statistic (not a vector)? Problem 2 Let X1, X2, . .., Xn't beta(a, B). i. Find a two-dimensional sufficient statistic T(X ) for a and B. ii. Show that T is minimal sufficient. iii. Show that T is complete. Problem 3 Let / be a random
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18 yards 26 yards 26 yards Find the volume of the solid shown above. (The solid is not drawn to scale and remember to use 7 ~ 3.14 for all calculations Involving 7). Volume = Select an answerv Round answers to 2 decimal place as needed. Submit
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Can you explain to me how to solve this equation? Thank you! A Given: AB = DC, AD ~ BC Prove: ABCD is a parallelogram. D C STATEMENTS REASONS AB ~ DC, AD ~ BC Given
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Can you explain to me how to solve this equation? Thank you so much! 10) Find the value of x and y so that the quadrilateral is a parallelogram. 45 4X 16 by - 3
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What is the SUM of the angle measures in a nonagon (9 sides)?

The matrix below is the final matrix form for a system of two linear equations in the variables x1 and x2. Write the solution of the system. left bracket. 1 -8 | 19 0 0 | 0 A B or C A. The unique solution to the system is x1= and x2= B. There are infinitely many solutions. The solution is x 1and x2=t, for any real number t. C. There is no solution.

Use only NOR gates to construct circuits for the given output: . (Note: in Section 12.2 of Rosen we verified the equivalent representations)

can you help with this question pages 36-45 10. A camp counsellor is fencing off a rectangular play area for the younger campers. a) If she has 16 m of fencing, how should she arrange the fencing to provide the greatest possible play area? b) How should she alter her design if she can use the dining hall as one of her boundaries? 1.6
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for the given function, find (a) the equation of the secant line through the points where x has the given values and (b) the equation of the tangent line when x has the first value y=f(x)=x^2+x; x=-2, x=2 a. the equation of the secant line is y= b. the equation for the tangent line is y=

MAT540 Homework Week 10 Page 1 of 2 MAT540 Week 10 Homework Chapter 6 1. Consider the following transportation problem: From To (Cost) Supply 1 2 3 A 6 5 5 150 B 11 8 9 85 C 4 10 7 125 Demand 70 100 80 Formulate this problem as a linear programming model and solve it by the using the computer. 2. Consider the following transportation problem: From

Question 3 Choose the right answer out of a, b, or c for each problem (1) The eigenspaces of the matrix A=3 are spanned by the vectors and - w 16) [ 8] and Ly] (c) None of the above x =1+1 (2) Plane P given by the equation 3x - y+ = =0 . Line L given by the equations { } = 1+2 E=-1-1 (a) Line L is parallel to the plane P (b) Line L is
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If triangle XYZ is dilated buy a scale factor of two about point ask which of the following is true about segment a Y prime

(k) +(V) (3y)(=)(o(my, =)V -(3=)(3u) ~o(x, z,)) = (3x)(3y)a(a, y, ), where a is a constant. ()-()(CA)(((AV()) - ()D)(A)(CA)((T'A)(RE) = (I)O)(TA) (A 'D)(E)(IA) = (I'D)(FA) + ()FOOD(A) ((@)F =(@))(CA) (@)(IA) + (4) "()(XE) A()(IA) = ((O)DA (I)D) (IA) - (3) "D ut banj you SIX Orym (C) + D)(CA) = (()(IA)
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ASAP HELP!- Given these two parallel lines intersected by a transversal, order a, 2a, b, 2a + 5, and 2a + b + 5 on a number line. 2a + 5 7 4a -35 b
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Determine the resultant R of the force system shown below. Compute the magnitude, sense, and angle of inclination of the resultant R with the X axis. Use the method of components. Y F1 =50 N 20" 20 N 10 X F2 - 70 N F1 = 60 N
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3. The area of a rectangle is 46 square inches. If the length is 4 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth

Consider the numbers 2, 7, 3, and 9. If the same number is added to each of thenumbers, it is found that the ratio of the first new number to the second is the same as the ratio of the third new number to the fourth. What is thenumber? Cambridge Slim ate 56 sausages in the first 23 minutes of ahigh-stakes eating contest. Assuming that he continued

The gardening club at school is growing vegetables. The club has 300 square feet of planting beds. Cucumber plants require 6 square feet of growing space, and tomato plants require 4 square feet of growing space. The students want to plant some of each type of plant and have at least 60 plants. Select all the equations or inequalitiesthat could

Sam ordered two hamburges and three hot dogs from the concession stand and the baseball fame. His bill came to $ 19.05. a)what is a linear equation to represent what Sam bought. (use x to represent hamburgers and y to represent hot dogs). b) If hamburges cost $5.25 each, how much does each hot dogs cost? Mini lesson: How do we write linear

how to graph 4/9 on a number line? 4 Graph the fraction 9 on the number line using equally spaced tick marks. Label the tick marks. 'ii
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Can you help me with my assignment for class because I Don't know how to get the answer? The link to the video is: https://mrmeyer.com/threeacts/buckythebadger/ And the questions for the video is: 1) Restate the Bucky the Badger problem. Construct a viable argument for the following: 2) About how many total push-ups do you think Bucky did during

15 In the figure shown below, if line m is parallel to line n, then find the value of x. m (2x-10) 65-x) n X =
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Solve the problem. You are encouraged to use the linear equation solver or your graphing calculator to solve this problem. 11) Linda invests $25,000 for one year. Part is invested at 5%, another part at 6%, and the rest at 11) 8%. The total income from all 3 investments is $1600. The total income from the 5% and 6% investments is equal to the
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A motorboat travels 240 kilometers hours upstream 360 kilometers going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current

Topic: Application of Linear Programming Model in Real Life. Technical report suggested structure: 1. Introduction 2. Identified real life situation where LPP can be applied. 3. Explain how the LPP can help to solve the problem, (include the explanation of LPP method). 4. Final analysis on efficiency of the method when compared to other techniques

Out of 850 people sampled,595 said that they supported candidate Johnson.The researchers conclude that they are 95% confident that, in the population, the true percentage of people who support candidate Johnson is between 66% and 74%.Use this information to answer the following questions. The percentage of people in the sample who support

Help me and show a solution pls. On August 17, 1983, an earthquake with a magnitude of 5.3 In the Richter scale hit the province of llocos Norte. This was the most sever earthquake in North - western Luzon in 52 years and probably the second largest earthquake to hit Laoag City and its Immediate vicinity In historical times (Source: phivocs.dost
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A question about topology. Let A be a compact subset of a metric space. By using an approach that results in either a nite cover or an impossible sequence of points, prove that for every r > 0, there exists a nite cover of A that consists of open balls with radius r and centres at points in A. THE QUESTION IS COMPLETE, thank you in advance! ;-)

Hi could I get some help. 8. [6 marks] An aftershock measuring 5.5 on the Richter scale occurred south of Christchurch, New Zealand in June 2011. An earthquake with a Richter scale M that is T times more intense than an earthquake with a Richter scale 5.5 an be modeled by the following function: Mm = logm + 5. 5. Remember, for every unit of
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The lengths of the legs of a right triangle are 17 m and 20 m. To the nearest tenth of a meter, what is the length of the hypotenuse? a. 26.2 m b. 24.3 m c. 23.7 m d. 32.8 m

Question 4. Reorder your variables as (y, v, w, u, z), (u, y, w, v, z) and (u, v, y, w, z). Put each of the resulting systems of equations into reduced row echelon form
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The cost, in millions of dollars, for a company to manufacture x thousand speed boats is given by the function C(x) = 4x 2 - 32x + 128. Find the number of speedboats that must be produced to minimize the cost. To minimize the cost, how many speedboats must the company produce?

1) Make mountains on desmos(graphing calculator) by using the only functions which is listen down below (Don't have to use all the functions just use what is needed to use to make mountains): Polynomial function (degree greater than 2) Exponential function Logarithmic function Trigonometric function Rational function A sum of two of the above

Figure 8 below shows the cross-section of a tunnel designed for an underground aquarium. The tunnel is 400m long. \f
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Represents the speed of a runner as a function of time it takes to run 120 meters in the track Then, construct a table a table of values for the speed of a runner with the following run times. 5 seconds, 10 seconds, 15 seconds, 20 seconds, 25 seconds and 30 sceonds. Plot the points in cartesian plane and determine if the points on the function

find all the zeros, real and nonreal, of the polynomial. Then express p(x) as a product of linear factors. 76. p(x) = x^2 + 25 79.p(x) =x^4-8x^2-9

Complete either #3 or #4. Label your work and show all work necessary to support your answer. (3 points total) 3. Suppose you wanted to solve the following system of equations, 2v+ w+ x- 2y+7= =2 8v+5w+6x-3y-z=3 -v+2w+3x-9y+2z=-6 3v +4w-x+y+3z=-9 V-7w-4x -6y+z=12 a. Write the augmented matrix corresponding to this system. b. Begin Gaussian
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The hydrogen ion concentration of a lemon is about 0.01. What is its pH? How does an earthquake of magnitude 8.4 compare to an earthquake of magnitude 3.7? Round answer to the nearest whole number.

Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros. 3+i,4 f(x)=

Could you explain how to show 4.6 in easiest possible way(in very detail)? Exercise 4.6. (1) Consider R2 with the standard topology. Let p E R2 be a point not in a closed set A. Show that ind(a, p) | a E A} > 0. (Recall that inf E is the greatest lower bound of a set of real numbers E.) (2) Show that R2 with the standard topology is regular (3)
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Question 1: Identify the slope: y = 18x + 6 Question 2: \f\f
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What are the steps in solving this? 2. + -/5 points WaneFMAC7 8.3.002. 0/5 Submissions Used My Notes Complete the following probability distribution table and then calculate the stated probabilities. HINT [See Quick Example 5.] Outcome a b d e Probability 0. 1 0.61 0.1 0.09 (a) P({a, c, e}) P({a, c, e}) = 0 (b) P(E U F), where E = {a, c, e} and F
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How do I work this out? Word Problems Complete the word problems below and be sure to show your work when answering the question 14. Product A is an 8-oz. bottle of cough medication that sells for $1.36. Product B is a 16-oz. bottle of cough medication that costs $3 20. Which product has the lower unit price? Type answer here DFocu O 3
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Hello, good afternoon, could you help me with these problems? :( 10. [-/1 Points] DETAILS LARLINALG8 2.2.004.MI. 0/5 Submissions Used Evaluate the expression. 2 (14 -205) + 14 - 18 6 9 Need Help? Read It Master It Talk to a Tutor9. [-/1 Points] DETAILS LARLINALG8 2.2.037. 0/5 Submissions Used Explain why the formula is not valid for matrices.
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1. In general, a ladder is leaning safely if its slope is 4. A 6.2 m 6.0 m B C D a. What is the slope of this ladder? Is this ladder leaning safely? Explain. Answer: b. Prove that the slope of this ladder is constant. Hint: Calculate the slope twice using different sets of points each time.
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The mayor ofHawkinsnotices that there is a higher percentage of smokers in his city than in the surrounding cities.He makes agoal to reduce the percentage of smokers in Hawkins by 25%.If 50.5% of Hawkins residents currently smoke, what percent does the mayor hope to achieve?

Jane, Goran, and Lamar sent a total of 68 text messages over their cell phones during the weekend. Goran sent 2 times as many messages as Lamar. Lamar sent 8 fewer messages than Jane. How many messages did they each send? number of text messages jane sent number of text messages goran sent number of text messages lamar sent

1. Write the unsimplified Boolean expression for the logic diagram shown in Figure 1. Figure 1: Logic Gate Network. 1 of 3
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in a race with 12 swimmers, how many different orders of finish are possible for the first 3 position?

This is a linear algebra problem I want to know how to solve these problems because the professor said there is no answer. These problems are the review questions for midterm. Could you solve all these problems? I do not know how to solve these problems, so I need explanation. This is my last chance to revise question. Thank you 10. Can you
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all of question 1 1) Consider the matrix -3 2 JI a) Describe all the vectors w in the column space of A in terms of a basis for the column space. b) What does the result in a) tell you about the dimension of the null space of A? *c) Describe all the vectors in the null space N of A using some basis for M
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Define a variable, formulate an inequality, and solve each problem. The sum of two consecutive odd integers is at most 123.Find the pair with the greatest sum.

Please help me 4. Square KLM/ can be mapped onto the square STUVby a dilation about the origin. 10 U M NA -4 4 18 10 K N -e What is the scale factor of the dilation? O A. 4 O B. 2 O C. 6 O D. 3 Powered by Linkin
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Could i get some help? 11. [8 marks] The population of Surrey, BC is shown in the table below for the years 1986 through 2011 in ve-year increments. Surrey incorporated in 1879 with fewer than two hundred citizens. Complete the following table. Time (in years) 1986 1991 1996 ] 2001 2006 ] 2011 Population (in persons) 154193 208706 267300 [347320
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what are the steps in solving this from web assign.com? 10. 0 -i1 points WaneFMAC7 8.3.017. DIS Submissions Used R My Notes An experiment is given together with an event. Find the (modeled) probability of each event, assuming that the dice are distinguishable and fair, and that what is observed are the numbers uppermost. Two dice are rolled; both
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The first sheet on QMB3200-Homework#1Data average commute time (in minutes ) it takes citize work and back home each day. a. Using Excels statistical functions such as =A median, mode, max, min, variance (sample) average commute times, 10th percentile, 20th 60th percentile, 80th percentile, 1 quartile, and
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5. (a) Let A be a square matrix. If det A is not 0, how many solutions does the equation Ax = 0 have? (b) Let B be a 3 3 matrix such that the entries in each row of B add up to 0 (i.e., bi1 + bi2 + bi3 = 0 for 1 i 3). Use part (a) to show that det B = 0.

A zero has a multiplicity of 8.As the graph approaches the x-axis at that point it: crosses straight through the x-axis at this zero. "bounces" (touches without crossing) at this zero. crosses through the x-axis while flattening at this point.

A NVNB dP NB = + N dt wh x PNB A A NVNB = dr dt Ytr dt +0 X xr Y X Y NVNB = TY + 0 r OO N) NVNB = TY + re Z Acceleration: (31pts) We find the required acceleration by differentiating the velocity vector as NVNB = N INVNB dt We will use the transport theorem for this differentiation NVNB = A INVNB + NA X NV NB dt O 0 A dr A A dre A NVNB = Y + dt Z
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An objective function and a system of linear inequalities representing constraints are given. Complete parts a. through c. Objective Functionz = 6x + y Constraints x 0,y 0 3x + 2y 24 x + y 4 a. Graph the system of inequalities representing the constraints. b. Find the value of the objective function at each corner of the graphed region. c. Use the

The most common piecewise polynomial for interpolating parametric curves is ___________?

Two cars leave town at the same time going in opposite directions. One travels 50 mph and the other travels 42 mph. How long before they are 115 miles apart

Solve using the quadratic formula Solve the quadratic equation given. 8x2 - 40x = 0
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tell me if you need help Question 1 (Mandatory) (1 point) Determine which expression is the correct rationalization of the denominator of 15 + 3-43 6 O a) 3 /10 - 6 /2 ( b) $30 + 9 /2 O c) 3w/ 10 + 34/2 O d) 30 - 6 /2 Question 2 (Mandatory) (1 point) Determine which expression is the correct rationalization of the numerator of 34/x+9-9 3x ( a) -
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The cost, in thousands of dollars, of airing x television commercials during a sports event is given by C(x) = 20 + 2,000x + 0.08x2. (a) Find the marginal cost function C'(x). HINT [See Example 1.] C'(x) = Use it to estimate how fast the cost is increasing when x = 4. thousand dollars per television commercial Compare this with the exact cost of
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In the power function f(x) = 5x 2 , what is the end behavior of f(x) as x goes to -?

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