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Mathematics Questions and Answers May 01, 2023

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What is the dimension of the vector space that is spanned by the following vectors? w = (0 1 1) u = (1 1 0) x = (2 1 -1)

. A peach-pomegranate juice mixture can be made by mixing peach juice and pomegranate juice in a ratio of 3 to 4. Explain how to solve each of the following problems about the juice mixture by reasoning about multiplication and division with quantities from the multiple-batches perspective. Use double or triple number line or a ratio table. a. How

Algebraic For the following exercises, find the domain and range of each function and state it using interval notation. 9. axed\"9'2" 5X+13 x+5 10. X : H ) x29x+14 Numeric For the following exercises, given each function f, evaluate JH3), \"-2), {(1), and f (U). 11
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A reconciled balance is found on the front side of a bank statement. (5 points) True False
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This question actually seems a bit tricky to me as there is no return used in the function. There is no need to write the answer in typed form. I just need clear hand pictures from you with a bit detailed answer. I would approve answer immediately after verification it. THANKS. \f
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What are the systems of equations and what would be L a=? Adrian is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Adrian will earn $40 every time one of his songs is played in a commercial and he will earn $130 every time one of his songs is played in a movie. Adrian earned a total of $1010
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9. Here you are trying to determine the size of the truck needed based on the total weight and volume listed in cells L13 and L14. Truck types are listed on the Ship worksheet. In cell boxes!L15 write a formula to automatically determine the number of the truck type to recommend - assuming you will need to use the larger of the two predicted based
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THANKYOUUUU Directions: Prove that the two triangles are congruent by completing the two-column proof. Choose your answers from the options below. A P 1. Given: AR - PE RT . EH AT . PH R E Prove: A ART = A PEN H STATEMENT REASONS 1. AR ~ PE 1, 2. RT ~ EH 2. 3. AT = PH 3. 4. BARS ATRS Given Given SSS Congruence Postulate GivenActivity B:
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Cost of Season Pass ($) Cost of Paying Per Day (35) b. c. How many times would Tamir have to swim to make the "season pass" less expensive than paying for each visit individually? He would have to swim mom than times I d. Which of the graphs below models each situation? Season Pass: Paying per day: I j
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Please solve Let X g R\" be a nonempty convex set, and let 9]- : R\" > R, j = 1, . . . ,r, be convex functions. Consider the system of strict inequalities: 9j(93)
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IfSis subspace of a Euclidean spaceRn,setSto be the set of all vectorsvRnorthogonal to every vectorwS.In set notation, S={vRn|vw=0wS}.n (a) ProveSis a subspace ofR. (b) Now supposeS=Span(w1,w2,w3,w4) for 1 2 4 8 w1=2,w2=3,w3=5,w4=13.1284 i. What are the elements ofS? (This is a question of the definition of this object). ii. Find dim(S) and a

Type 1 Type 2 Type 3 Widgets 55 10 10 Revenue 10 660 Plastic 190 500 Glass 260 500 Labor 75 75 Widget 1 55 10 Widget 2 10 10 Widget 3 10 10
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19. Determinar k para que el cociente > = -2 + Ki sea: k - i a) Un numero real. & Que numero resulta? Sol : k = +2; 2=12 b) Un numero imaginario puro. & Que numero es? (Sol : k = 0 ; z = -2/)
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The physician orders KCI 10 Me a in 1000 mL of D5 NS to infuse at 100 mL/h. How many mEq will the client receive in 24 hours?

Consider this John Deere 1510C scraper, an implement pulled by a bulldozer or tractor to scrape off (cut) a layer of dirt. Width of cut = 120. inches Depth of cut = 10. inches Scraper capacity = 16.5 yd3 Speed of travel = 2.0 mi/h a.Determine the distance (in feet and meters) the scraper must be pulled to fill it to capacity. b. Determine the time

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do fast its urgent work Use the graphs to write the formula for the function. f (x) 8(x) (Click on a graph to enlarge it.) a. f(x) = b. 8(x) =
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Can you explain how to find the correct answers with solutions? 4. A segment is divided into six parts forming a geometric sequence. If the shortest length is 3/4 cm and the longest is 24 cm, find the length of the whole segment. 5. Jhun is saving money in a piggy bank. His daily target is to double the amount of money he has saved in each day. If
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QUESTION 14 1. R.H. Bruskin Associates Market Research found that 30% of Americans do not think having a college education is important to succeed in the business world. If a random sample of 5 Americans is selected, find this probability: At least two people will agree with that statement. 40.47
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Multiple Choice: 1. What is the value of x? \f\f\f\f\f\f\f\f\f\f
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5. Let A be the point (0, 1, 0) and B be the point (0, 0, 2). Let S be the sphere ( x-2)^2 + y^2 + z^2 = 4 (a) Provide a good diagram of the (x, y, z) coordinate system showing the points A and B and the sphere S. (b) Consider the family of all planes that pass through both the points A and B. This forms a one-parameter family of planes in the

23. Si 'D' denota el nmero de formas en que 8 cosas diferentes se distribuyen entre Rami y Shyam y 'L' denota la cifra correspondiente cuando las cosas son todas iguales, cada persona recibe al menos una cosa en ambos casos. luego encuentre el valor de D-L. 24. Cuntos collares se pueden hacer con 7 cuentas de las cuales 5 son cuentas rojas

Help A rule of thumb states that cars in personal use depreciate by 15% each year. Suppose a new car is purchased for $21,000. Let y be the value of the car after n years. (a) Find a difference equation satisfied by yn. (b) Solve the difference equation. (c) How much will the car be worth after 4 years? (a) The difference equation is yn = . yn - 1

Reflection Over Parallel Lines Instructions: Given the following coordinates complete the reflection transformation. A(5,2) B(1,5) C(0,3) Transformation: Complete the double reflection over the lines x=1followed byx=3. A"(?,?) B"(?,?) C"(?,?) Reflection Over Parallel Lines Instructions: Given the following coordinates complete the reflection

a stone is thrown from the top of a building upward at an angle of 30 with the horizontal with an initial speed of 20 m/s.If the height of the building is 40m,determine the (a) time it takes the stone strikes the ground, (b) speed and direction of the stone before it strikes the ground,(c) maximum height reached by the stone, and (d) distance from

141. Jones obtains a 36 month automobile loan at a nominal interest rate of 18% compounded monthly. Equal payments are due at the end of each month. After 24 payments have been made, what is the ratio of the total interest paid to total principal paid
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Let E and F be two independent events. If the probability that both E and F happen is 1/12and the probability that neither E nor F happens is 1/2 , then P ( E ) and P ( F ) respectively are ( a ) 1/3, 1/4 ( b ) 1/2, 1/6 ( c ) 1/6, 1/2 (d) 1/4, 1/3

One hundred identical coins, each with probability, p, of showing us heads are tossed once. If 0 < p < 1 and the probability of heads showing on 50 coins is equal to heads showing on 51 coins, then the value of p is ( a ) 1/2 ( b ) 49/101 ( c ) 50/101 ( d ) 51/101

i stuck in this question solve this question Problem 3. Consider the polynomial f(x) = 3x* + 17c' + 21x -9. (a) (2 points) As a - -co, what is f(x) approaching? As a - co, what is f(x) approaching? (b) (4 points) Find all the zeros of f, state their multiplicities, and write f in factored form. (c) (2 points) Sketch a graph of y = f(x)
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VenNum Earnings 21 2841 53 1876 60 2934 184 1552 263 3065 281 3670 354 2005 401 3215 515 1930 633 2010 677 3111 710 2882 800 1683 914 1817 997 4066 Age 29 21 62 18 40 50 65 44 17 70 20 29 15 14 33 Hours 12 8 10 10 11 11 5 8 8 6 9 9 5 7 12

8.) Algebraically nd exactly (to the nearest minute) when the containment vessels will reach the outer edge of the oil spill. You should get two answers...explain them. (10 points) 1 R(t)=D(t) = EVHZ =50-12t = 4:3 =100-24t _ 10024\";2 _ 2 _ _ _ \"2:6 _ 575: 4800+10000t+2 = 575:2 -4801t+9998=0 t=4.0641 and t=4.271
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Part 1. Since you are now familiarized with the basic knowledge in determining the degree of a polynomial and how to evaluate polynomial expressions, it now your turn to prove what you have learned. For each of the given polynomial, determine the number of terms and evaluate given that a = -1, b = 2, x = -2 and y = 3. Show your solution. 1. 2(xy -
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01 (a) (5 points) For the following statement either prove it is true, or find a counterexample to show that it is false. (You must justify your counterexample). Let A, B E MWGR). If W is the subspace of Mm(R) defined by W = Span{A, B}, then W = Span{AT, BT}. Note: AT denotes the transpose of A. + Drag and drop your files or click to browse... 01
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can you help me with this pls 6. The Distance Learning ECO dub collected the following data over a one-week period. The table below shows the number of cans sold at the Cameron Heights cafetiera and the number of cans in the recycling bins of the cafeteria. Number of Number of Cans in Cans Sold Recycling Bin 60 55 87 80 55 52 20 18 100 92 42 38 68
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plsss help me for this family of curves differential equations. . i hope u give me solutions 1. Straight lines through the fixed point(h,k); h and k not to be eliminated. 2. Straight lines with slope and y-intercept equal. 3. Straight lines with slope and y-intercept not equal. 4. Straight lines with slope and x-intercept equal. Straight lines
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D Exercise 2. Which of the following graphs is the graph of the function f(x) = ? Exercise 3. Differentiate the given functions. (1)
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Problem 3. Prove the following for subsets in a metric space (X, d). (a) If F C X is a finite set, then F is compact. (b) (Phillips, Section 3.1 #10) In the discrete metric space, every compact set is finite
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Please answer this question so I can further learn my material State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement. K AKLM ~ O similar, AA similarity, AKQR similar, SSS similarity, AKQR not similar similar, SSS similarity, A KRQ\f
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In this project, you are going to research 2 items you would like to buy. One item needs to be exactly $2.95 and the other $3.45. You are going to buy a total of 80 items. You have a budget of $250 to spend. Make sure the items you find are school appropriate.

A farmer is going to divide her 40 acre farm between two crops. Seed for crop A costs $15 per acre. Seed for crop B costs $30 per acre. The farmer can spend at most $1050 on seed. If crop B brings in a profit of $240 per acre, and crop A brings in a profit of $150 per acre, how many acres of each crop should the farmer plant to maximize her

5) Solve the inequality using the methods discussed in Chapter 3 of our text. Clear fractions from the inequality in the first step. Write your answer in interval notation . 4 X+ 11 3 XS 3 X
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In your day to day, is there any occurring fact that can be interpreted as composite and inverse functions? With two examples and explain it, please.

Can you help me with this question and give me detailed solutions? thanks 3. In this problem, we fix a data set { (x1, y1), ..., (Im, ym) }. The goal is to quantify how least-squares polynomials of best fit get "better" as the degree increases. For a function f with domain including x1, ..., Im, we define m Err( f ) = > (yi - f(zi)) 2. i=1 For any
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6 freshmen 5 sophomores 5 juniors and 5 seniors are eligible to be on a committee in how many ways can a dance committee of 12 students be chosen if it is to consist of exactly 3 juniors and exactly 4 seniors and the rest must be freshmen or sophomores

\fO simple graph S = E miltonngwenya 3 V [ S ] = Emiltongweya3 E [ g ] = E ( mi) ( i up it ) ( to ) ( on ) ( n n ) ( n q ) ( q w) (we)(en) (ny ) ( ya)3 10 6 Distance matrix to n g wey a ecc m 3 f S 6 - 6 O 2 3 4 6 - A T - G U F W Y - O 2 3 4 S 1 - - Q WW F W U O - - 4 - 0 W - W F W V W F U D - f 2 W 4 W D O diameter = ecc ( most ) diam ( s ) = 7
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A patient with preeclampsia has Magnesium Sulfate ordered at 2 grams/hr. The 500 mL IVPB contains 20 grams of Magnesium Sulfate. What is the infusion rate in mL/hr for the ordered dose?

2. Given the quadratic form Let 12 X = A = 12 -6 and Q(x) = x' Ax = 3r; + 240102 -617. I2 Do the following steps: a. Compute the eigenvalues for the matrix A. b. Compute basis vectors for each eigenspace. c. Show that the eigenspaces are orthogonal. d. Normalize the eigenvectors and write down a matrix S such that S-1 = ST. e. Calculate B = S"AS,
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Bruce bought 6 boxes of tiles, and only used 2 tiles from the last box . Felicia bought 5 boxes and bought 5 additional tiles from the store. The tiles that Bruce used were each 1/4 of a square foot in area. The picture below shows the area covered by felicias tiles in terms of the number of tiles used. For both Bruce and Felicia how would a graph

A certain forest covers an area of 4800km 2 . Suppose that each year this area decreases by 7.25 percent. What will the area be after 15 years?

For the following exercises, use each pair of functions to nd 3\" (g (1)) and girl-1}) 24. f (x): 4' 2x+5 , g[x]=x2+? Real-World Applications 25. The radius r, in inches, of a spherical balloon is related to the volume, V, by r: 3 E .Air is pumped into the balloon, so the volume after 4 n t seconds is given by V (t) = 15+18 t . Find the composite
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I think it's c but I'm not really sure Let a be a real number, and let 7: R - R be the unique linear transformation for which T(1, 1, 0) = (3, a, 2), T(0, -1, 0) = (-1, -a, -1), and T(0, 1, 1) = (5, a + 3, a + 1). Find all values of a for which |IT(2, -3, 1) |1= V35. Select one: a. - 3, 1 cross out O b. 0, 2 cross out O c. 1, 2 cross out O d. 1/2,
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3) A rectangular display board depicting "BE DISCIPLINED" is kept near the main gate of the school. Length of the board is 4m more than its breadth b. If the perimeter of the board is 84m, find the length and breadth of the rectangle.

For each problem, say which formula you would use to solve the problem (simple interest, compound interest, annuity, payout annuity/loan) and which variable you would be trying to find. Explain why you chose that formula and solve the problem. a.Marta is saving to buy a plane ticket for vacation.They deposit $40 each month into an account which

The number of sales can be predicted from the price of an item with Y = 3.5x - 2.25, what is the predicted number of sales for a price of $5.50?

Question 1 (05.01 MC) If the cos 36 =three fourths, then the sin 54 = _____. one half, because the angles are complementary 4 over 3, because the angles are supplementary three fourths, because the angles are complementary 1, because the angles are complementary Question 2 (04.01 LC) Which statement explains how you could use coordinate geometry

a) Which step in the construction of copying a line segment ensures that the new line segment has the same length as the original line segment?

[-/5 Points] DETAILS MY NOTES Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die shows 1; B: the numbers add to 5; C: at least one of the numbers is 1; and D: the numbers do not add to 9. Express the given event in symbolic form. HINT [See Example 5.] Either the numbers add to 9 or the red die shows a
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Using the concept of net rate, determine a model for a population P(t) if the birth rate is proportional to the population present at time t but the death rate is proportional to the square of the population present at time t. Basically, find a function P(t) based on the differential equation dP/dt = k 1 P - k 2 P 2

Date: MATH\t252:\tCalculus\t2 m252f001a Name: Final\tExam! In\tProblem\t1,\tfind\tthe\tindefinite\tintegral. K A. 3 J B. C. D. E. N OJ P J K QR J J K QR N ln Page 1 of 8 Date: MATH\t252:\tCalculus\t2 m252f001a Name: Final\tExam! In\tProblem\t2,\tfind\tthe\tindefinite\tintegral. A. sinN cos B. N sin 3 C. 3 sin N D. cos O E. ln N Page 2 of 8 Date:

5. Using the mass yalues from your ore-lab, create 1J3 M and [24.5 M solutions of fruit drink mix for your 1J2} M and 0.5 M cups. If you do not have a kitchen scale that measures in grams, use 1 tablespoon = 12.5 g and 1 teaspoon = 4 g as approximate measurements
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Part a and b please Verify Stoke's Theorem for the given vector field, F, and given surface, S, by computing both: I] curlF-dS and 3g F-ds. s as a. F=(x,y,z) Sis defined by x = 1/ 16 y2 22 oriented with inward facing normal vectors b. F = (2yz,x+y2 z,4y 3x) Sis defined by x2 + y2 + z2 = 4,2 S 0 oriented with outward facing normal vectors
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Please see the attached problem Consider the following problem minimize f (3:) subject to (I: E A\" (I) Where A\" C R" is the probability simplex, i.e., A\" = {:I: E R\" I 223:1 3:1,; : 1, :I: Z 0}, and f is a proper convex function such that relint(dom( f )) relint(An) % {3). Assume that f is differentiable over the relative interior of its
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ZZ Which of the following is incorrect with respect to financial Statement articulation ?" A Preparation of the income statement and statement of comprehensive income provides the necessary needed to balance the balance sheet . Preparation of the balance sheet provides the data needed to prepare the statement of cash flows . [ Preparation of the
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For a periodic continuous-time signalx(t), it has a base frequencyw0and Fourier seriesak. If we have a new signal y(t) =x(1t) +x(t1) what are the new base frequency and Fourier series fory(t)?

e op kewle op kewle op kewle op kewle op kewle op kewle op kewle op kewle op kewle op kewle op kewle op kewle op kewle op kewle op kewle op kewle op kewle op kewle op kewle op kewle op kewle op kewle op kewle op kewle op kewle op kewle op kewle op kewle op kewle op kewle op kewl

Use interval notation to write the intervals over which f isand Select one: a.a. (-,2) b. (2, ) c. never constant b.a. (-,2) b. (2, ) c. x =2 c.a. (-,-1) b. (-1, ) c. never constant d.a. (-,-2) b. (-2, ) c. never constant

'l 1 U. Frank owns an apple farm and plans to spend 4 hours today picking apples. The number of apples he can pick per hour depends on the total number of hours he spends working in either the east orchard or the west orchard in the manner shown in the table below. Apples Per What is the opportunity cost to Frank of spending an additional hour
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1) A rectangle is inscribed in a circle of radius, r. if the rectangle has length 3x, write the area of the rectangle as the product of two functions. in terms of x and r only. 2) Shipping boxes come in various sizes and shapes. Consider a box with a square base, whose base length must be greater than 5cm. the volume in cubic cm, V, of this box is

Solve the system. If there is more than one solution, write the general solution. x + y - 2 z =9 3 x + y + 2 z =15 x - 5 y + 22 z =-27 Solution {-2 z +3,4 z +6, z | z is any real number}

Anne wants to create a rectangle patio with pavers in her garden. It will cost $25 per square foot to put in pavers. She wants a rectangle patio with length and width in the ratio 3:2, and she has $850 to spend. What are the dimensions of the largest patio she can afford?

pls solve this Fill in the blank so that the resulting statement is true. To solve x - 7XF 49 by completing the square, add to both sides of the equation. (Type an integer or a simplified fraction.)
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One of the largest issues in ancient mathematics was accuracynobody had calculators that went out ten decimal places, and accuracy generally got worse as the numbers got larger. The famous Eratosthenes experiment, that can be found athttps://www.famousscientists.org/eratosthenes/, relied on the fact known to Thales and others that a beam of

Hi, I am looking for help with this question Algebra (a) Let A = b and B = y 2 W be 2 x 2 matrices. Show by C d explicit calculation that det(AB) = (det A) (det B). 2 1 -2 (b) Let A = 1 0 0 Solve the equation det(A - x]) = 0, that 1 0 is, find all numbers a such that the matrix A-x/ has determinant zero. Here, I is the 3 x 3 identity matrix
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Section5.6QRFactorization: Problem 1 (1 point) Perform the Gram-Schmidt process on the following sequence of vectors. 2/3 555 555 555 1/3 as; , as; , _ as: 2/3 555 _ 555 555
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2. [Space of polynomials Pm lpts] Let P.L be the space of functions defined on [1.1] that can be described by polynomials of degree less of equal to n with coefficients in R. P... is a linear space in the sense of linear algebra, in particular, for 31.4; E R. and o E R. also p+q and op are in P... Since the monomials {1.55.32. . . . ,Ic} are a
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5.Consider the following scenario analysis: Rate of Return Scenario Probability Stocks Bonds Recession .40 -4% +19% Normal economy .50 +20 +9 Boom 10 +26 +8 a. Is it reasonable to assume that Treasury bonds will provide higher returns in recessions than in booms? Yes b. Calculate the expected rate of return and standard deviation for each
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Two fair dice are tossed. Let X be the event that the first die shows an even number, and Y be the event that the second die shows an odd number. The two events X and Y are ( a ) mutually exclusive ( b ) independent and mutually exclusive ( c ) dependent ( d ) none of these

Proving Quadrilaterals... Prove that ABCD is a square \f
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4. Compare your answers in parts 2 and 3. Did your predictions for the coordinates of the reflected images match the actual results? Why or why not
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7. Consider the complex number z = 4v2 -4V2. SHOW YOUR WORK as you answer the questions below. (a) Write z in polar form. You may use cosine and sine or Euler's formula, and your angle can be measured in either degrees with 0
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Translation: Describe the translation your partner performed on the original triangle. Use details and coordinates to explain how the figure was transformed. Be sure to use complete sentences in your answer. Rotation: How many degrees did you partner rotate the triangle? In which direction clockwise, counterclockwise) did it move? Be sure to use
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Proposition 24.4.2. For a symmetric n x n matrix A (for any n), if there is an eigenvalue ) whose absolute value exceeds that of all other eigenvalues (this is called a dominant eigenvalue) and if the solutions to Ax = Ax constitute a line (as happens whenever there are n different eigenvalues) then for large m we have Am ~ (Xm/(w . w)) ww= Am
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Please solve this problem will be really appreciated.. 4. [20 pts] Use the Gram-Schmidt algorithm to find an orthogonal basis for R& that includes NOLN
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An author of a book discusses how statistics can be used to judge both a baseball player's potential and a team's ability to win games. One aspect of this analysis is that a team's on-base percentage is the best predictor of winning percentage. The on-base percentage is the proportion of time a player reaches a base. For example, an on-base

If for example you change the exponential form of 5 to the power of 4 = 625 to log5625 which would equal 4 then how come log1/28 doesn't = -3 if the exponential form is (1/2)^-3 = 8 what am I doing wrong here?

A pharmaceutical company claims that the average cold lasts an average of 8.4 days. They are using this as a basis to test new medicines designed to shorten the length of colds. A random sample of 106 people with colds, finds that on average their colds last 8.6 days. The population is normally distributed with a standard deviation of 0.9 days. At
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Linear algebra Compute the given determinant, using row operations, determinant properties, cofactor expansions, or a combination of those 4 awOH UIUINUT OHOH
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Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form. x= y= \f
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Hello I need help calculating grades. I need to know what my g.p.a will drop to since I was not able to pass on class this semester.?

According to a salad recipe, each serving requires3 3teaspoons of vegetable oil and15 15teaspoons of vinegar. If19 19teaspoons of vegetable oil were used, how many teaspoons of vinegar should be used?

Please prove conjecture 1 by using geometric construction. Conjecture 1: A= b/2 - 1 the picture below is an example of the same given Proving Conjectures: Conjecture 1: Conjecture Geometric A=(b/2)-1 .construction 6 + / b=18 A=(b/2)-1 N N -(18/2)-(2/2) =16/2 or 8 CY
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Which step is the same in the construction of a perpendicular line through a point on a line and the construction of a perpendicular line through a point off a line? Create only one arc on the original line. Create two arcs on the original line. Place the compass on a point off the original line. Place the compass on a point on the original line.

Find the derivative of the function f by using the rules of differentiation. F ( x ) = x0.7 f ' ( x ) =

a) The construction of copying is started below. The next step is to set the width of the compass to the length of . How does this step ensure that the new angle will be congruent to the original angle? c) The construction of copying ZQPR is started below. The next step is to set the width of the the original angle? compass to the length of AB.
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????(????) = ????0 + ????0???????? ????(????) = ????0 + ????0???????? 1 2 ???????? 2 ????0???? = ????0 cos(????0 ) ; ????0???? = ????0 sin(????0) ???????????????????? = ????0???? ???? ???????????????????? = (???????????????????????? ????0) = ????0 2 ????????????(2????0) ???? where ????0 = ???????????????????? ???????????????????????????????? =

Use both Newton's method and the secant method, given above, to calculate a root for the following equation, f ( x ). Use a calculator or computer to calculate how many iterations of each are needed to reach within three decimal places of the exact answer. For the secant method, use the first guess from Newton's method. The formula for the secant
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Which angles are adjacent to each other? H G D B F F C K ZHDE and ZDEA ZLFD and ZECI ZBEC and ZAEB ZKFL and ZBEC
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