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Mathematics Questions and Answers September 27, 2021

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Linear Equations & Integer Exponents 9 Topic Introductions, Linear Equations, & Integer Exponents TOPIC 1 Using distribution and combining like terms to TOPIC 2 TOPIC 3 Solving a linear equation Exponents and integers: TOPIC 4 Solving a multi-step with several occurrences Problem type 1 equation given in simplify: Univariate of fractional form the

Given the three-bar structure subjected to the prescribed load at point B equal to 103 N as shown in Figure below. The Young's modulus is E=1011Pa, the cross-sectional area of the bar BC is 2 10-2 m2 and that of BD and BF is 10-2 m2 . Note that point D is free to move in the x-direction. Coordinates of joints are given in meters. You will have to

Investment advisors recommend risk reduction through international diversification. International investing allows you to take advantage of the potential for growth in foreign economies, particularly in emerging markets. Janice Wong is considering investment in either Europe or Asia. She has studied these markets and believes that both markets

Question 18 Energy Drinks: Popular energy drinks contain green tea extract and caffeine. Do these energy drinks help you lose weight by increasing your metabolism? Researchers at a medical school designed an experiment to determine the effects of green tea and caffeine on energy metabolism in healthy, lean, young adults. Researchers randomly

Create one polynomial function, which will have 0, degree greater or equal to 3, and can't be factored by grouping. Solve it using Factor/Remainder Theorem, Synthetic/Long division, and Quadratic formula (if required). You can show a rough sketch to support your solutions.

If you could please answer the questions that you can with the explanations/solutions. Thanks! 1. You are given the following data (from smallest to largest): 2, 21, 44, 45, 57, 61, 78, 80, 81, 82, 86, 87, 111, 632, 1000. Write down the five num- ber summary of this data, compute the IQR and draw a box plot for this data. Also determine if there

The graph of the function y = f (@ ) is given below. Graph of f(x) ... .. Which statement is true at x=1? Of'(1) > 0 and f"(1) > 0 Of'(1) > 0 and f"(1) 0 Of' (1)

Find the probability that either event A or B occurs if the chance of A occurring is .5, the chances of B occurring is .3, and events A and B are independent. A. .80 B. .15 C. .65 D. .85

Realiza un ensayo donde analizaras las peliculas El demoledor, pelicula de ciencia ficcion y accion protagonizada por Sylvester Stallone, Wesley Snipes y Sandra Bullock, inspirada en la novela Un mundo feliz de Aldous Huxley, donde se presenta un mundo completamente diferente, con conductas forzadas por un regimen, el cual sanciona con multas a

see attached. Chrome File Edit View History Bookmarks People Tab Window # 9 7 )) 100% 27 Mon 10:07 PM Q QE F5 Dyna x 0 Mail - Al X Bb week 3 ( X Take a T X G what is a x G descript x G referenti x Course X Homewc x + mathxl.com/Student/PlayerTest.aspx?tc_profile_url=https%3a%2f%2fblackboard.roosevelt.edu%2flearn%2fapi2fv1%2flti%2fprofile.. yes

a local computer company produces a large variety of products by it's two top selling products are its USB flash drive. There are three production departments : Fabrication, Assembly, and inspection and packaging. The table below shows the profit per unit of each product along with its associated production requirement products Profit per Unit

Data displays 1 Data Displays A sample of 50 11th graders were asked to select a favorite pattern out of 6 choices. The data list below shows what their favorite color patterns were, and the accompanying frequency table and bar graph represent these data. In the bar graph, the height of the blue-gray bar is 4, the height of the green bar is 9, and

Comparing Communism in China and in the USSR Student version You should understand the similarities and differences in communist systems as they developed in the USSR and in China. Work with a partner to create a comparison chart. Communism in China Communism in USSR

List the eigenvalues of A. The transformation xAx is the composition of a rotation and a scaling. Give the angle

Prove that if a differentiable function g : R" -> I is convex and the gradient at some w* is 0, then w* is the global minimum of g

The projected population of a certain ethnicgroup(in millions) can be approximated by p(t)=37(1.019) t where t=0 corresponds to 2000 and 0t50. a. Estimate the population of this group for the year 2010. b. What is the instantaneous rate of change of the population when t=10?

please refer to this google drive link for the question (word document) and the excel sheet to answer the questions; https://drive.google.com/drive/folders/1cFCu86WgvUG55ZZzKIJj8d4gl2KVXSn6?usp=sharing (please go to the google drive link for the full question and the excel file to answer the questions) You are Tank McTavish, an analyst often asked

Criterion: Calculate confidence intervals using SPSS. Data: Use the SPSS output fromProblem Set 3.5above. Instructions: Based on the SPSS output from Problem Set 3.5, including a test value (population mean) of 8, calculate the 95% confidence interval. T-Test [DataSet1] One-Sample Statistics Std. Std. Error N Mean Deviation Mean Time 15 7.3333

3) Suppose { } are martingale differences. Suppose we "integrate" { } to obtain a series (y }. Specifically, define y 1 = $1, 12=&] + 82, etcetera. a) Show that yt =Vt-1 + &. b) Use the results of a) to show that {y, } is a martingale. (Thus, integrating a martingale difference yields a martingale.)

Determine the standard deviation of this data set 30,70,75,80,85,90,95.

I'm stuck on this question please help: To test whether the mean time to mix a batch of adhesive is the same for machines produced by four manufacturers, TiteBondMax obtainedDATAon the time (minutes) needed to mix the materials. Test whether the machines have equal mean mixing time at =0.01. EXCEL Format: Manufacturer ABCD 25232528 23212527

According to one survey taken a few years ago, 32% of American households have attempted to reduce their long-distance phone bills by switching long-distance companies. Suppose that business researchers want to test to determine if this figure is still accurate today by taking a new survey of95American households who have tried to reduce their

For her thesis, Kathryn recruited individuals who were easily available. This is known as ______. Group of answer choices convenience sampling cluster sampling stratified random sampling two-stage sampling

8:15 ct |_-_{' 0D 0 (- Discussions _ $652.24 $543.91 : $497.37 $475.45 Sg For example, a 48 month loan for a car that you ' buy for $5,000, will cost you $276.59 per month. We now want to t a model to this data. In other words, we would like to know how to predict the monthly payment based on the loan term, as well as the loan amount. Questions:

true or false? End mill holders use set screws to to hold the endmill - because these are usually on the side of the holder, a hgh degree of concentricity is not guaranteed

What is the sum of squares of these numbers? {1, 2, 7}

Please discuss confidence interval and give two examples In nursing, we seldom know the true values or percentages of many illnesses or syndromes. For example, if we were asked how many people contracted a particular strain of flu during a year then we could give estimates but not the true count. Not everybody went to the doctor or emergency room.

Hello guys, i would like some help solving this problem. this assignment is due at midnight and i am really struggling to figure out what the steps are. Cheers. Ram. MindTap - Cengage Learning X + X C D ng.cengage.com/staticb/ui/evo/index.html?deploymentld=5736002231691487902353886133&elSBN=9781337115377&id=501132847&snapshotld=1205183& 9Gamers

At a particular company, employees have a six digit code. Three of the digits must come from {2.3.5.9}. The remaining digits must come from {1, 4, 6, 7}. Repeated digits are allowed. How many codes begin with 1'? Write your final answer (number) only. Do not put spaces between numbers. * (4 Points)

QUESTION 13 . 1 POINT Simplify 9(19 - 14 ) 3 9 - 2 -4

Given the following equations and solutions, identify the reason for the highlighted step. 10. b 5( 2b 3) -85 Statements Reasons b5(2b8)=85 b10b+40=85 9b+40=85 9b=45 b=5 O multiplication property 0 division property \fGiven the following equations and solutions, Identity the reason for the nignigntea step. Statements Reasons -94 = 2(6n + 1) -94 =

1. Let T = 24 be total available hours (note that T = 24, not T = 12), L be hours of leisure, and n be hours of work. Let w >0 be the hourly wage and p >0 be the price of the consumption good. Finally, let C be consumption. Treat each part of this question as a separate and independent scenario. Assume the utility functionis U(L, C) = LC. a.

\f\f\fF: y-intercept F: vertex 10. The final equation y = (-x + 2)(-2x - 4) is not yet in fully factored form though it shows two factors. Write the equation in fully factored form. What information about this quadratic function is more evident in factored form than in the form originally provided in the table? This might help. The final equation,

USING MICROSOFT EXCEL WORKBOOK WITH CORRESPONDING FORMULAS 1. For the Hawkins Company, the monthly percentages of all shipments received on time over the past 12 months are: 80, 82, 84, 83, 83, 84, 85, 84, 82, 83, 84, and 83. a) Construct a time series plot. What type of pattern exists in the data? b) Compare a three-month moving average forecast

a. Develop a decision tree for this problem. Draw this tree by hand and include it along with your submission. . Do not put any numbers (probabilities, costs, etc.) on your drawing. . The tree should show the structure and logic of the decision process. . Distinguishing between decision and chance nodes, and naming the various nodes and branches,

Need Help ? Read It 8. [-/1 Points] DETAILS AUFEXC4 2.1.033. Determine whether the statement is true or false. If the statement is false, give a reason. {x|XEN} = {x|xE W and x > 0} O False. The set of whole numbers is equal to the set of natural numbers greater than 0. O False. The set of natural numbers is the same as the set of whole numbers. O

Draw the network for this transportation problem. (Let x ij represent the flow from node i to node j .) Min 2 x 13 + 4 x 14 + 4 x 15 + 8 x 23 + 11 x 24 + 11 x 25 s.t. x 13 + x 14 + x 15 500 x 23 + x 24 + x 25 400 x 13 + x 23 = 300 x 14 + x 24 = 300 x 15 + x 25 = 300 x ij 0

please help with 1-6 1. [-/2 Points] DETAILS BBBASICSTAT8 9.TB.003. MY NOTES A z-score that is used for hypothesis testing is also called one of the following. test statistic O level of significance O critical region O critical value 2. [-/2 Points] DETAILS BBBASICSTAT8 9.TB.017. MY NOTES A Type I error means that a researcher has done the

Question 4: a. Consider the multiple linear regression model Yr = Bo + BiX, +e. It is known that var(e) o Ti. Find a transformation such that the transformed model has constant variance. Clearly defined all the symbols in the transformed model in terms of the symbols given in the original model. b. Explain the what assumptions will be affected by

__________ charts are needed when there are multiple causes for rejecting a product and the parameter of interest is the proportion of rejected products. Question 26 options: Variable Delta Attribute Both a and b Both a and c

4% of the customers buy specialty clothes for their pets AND The owner had 275 customers that day. What would be the mean and the standard deviation of the number of customers who buy specialty clothes for their pet each day?

are these 2 statements false and true? For proper needle angulation for the Gow-Gates Technique, it is important to align the needle with the plane extending from the corner of the mouth on the same side to the intertragic notch on the side of injection. It should be parallel to the angle between the ear and the face

Suppose a random sample of 100 companies taken in 2003 showed that 18 offered high-deductible health insurance plans to their workers. A separate random sample of 110 firms taken in 2004 showed that 24 offered high-deductible health insurance plans to their workers. Based on the sample results, can you conclude that there is a higher proportion of

500 people are surveyed and asked to check the boxes that apply to them. They are "i am confident in the economy" and "I have health insurance". 321 said they were confident in the economy, 403 said they had health insurance, and 63 checked neither box. Draw a Venn diagram that represents the situation consisting of cardinalities

Q14. For the given table of observed frequencies: 1 2 3 A 20 8 14 B 5 9 9 C 41 11 5 (a) Compute the row totals, the column totals, and the grand total. (b) Construct the corresponding table of expected frequencies. (c) Compute the value of the chi-square statistic. (d) How many degrees of freedom are there? (e) If appropriate, perform a test of

5. Find the derivative of y = sin (2x + 1). (4 points possible) A. 2 cos (2x + 1) B. 1 1 2 C. D. 1 - (2x + 1) 2 -X- - X 2x

Question 5 The following rst order ODE is a mathematical model of an industrial curing process: y'=x2-y. yo=1 where y is temperature and x is power setting. (a) Using the integrating factor method. or otherwise. show that the exact solution is: 3!: (x22x+2)e"' and hence determine the accurate values of y for x = 0, 0.2. 0.4, 0.6.0.8, 1 (6 marks)

How to evaluate the integral of tan^-1 (x) / x^2 dx from 1 to infinity, or how to prove it diverges

12. What is the average acquisition cost for #6? 13. What is it for #9? 14. What is it for #10

Which of the following statements is true? Group of answer choices To find large differences between groups or strong correlations, the sample size required is smaller than if you want to find small differences or weak correlations. Sample size that is required is unrelated to the size of correlations or the strength of differences. As sample size

theorem. 11. Find the length of JK using the midsegment KJ 2 CAC ) 10 KJ = 5 B L 22 13. Find the missing side length. 15 or = 5 = ? Z 3 10 ? = 3 00 12 ? 20 = 37 - GO 15 1 15 3 2 3 ? = 1 = 20 7 = 20 25 12 27

Amount in dollars Number of unity How many piccri of jewelry don the arti need to tell to that the monty canned equi the roots to make the jewsby! 0409 0 2 800

Find the proportion of the area under the curve to the left of the following z scores. Step by step explanation 1.5 -0.4 3.4 0 -2.8 CheckPoint ( Homework ) Find the proportion of area under the curve to the left of the following z-scores: in 2. 0.4 .4 Answers to this exercise are found on page 270. CHAPTER 6 Where Am I? Normal Distrib

solve the function 4 Diberip : x -> 3x + a dan p-' : x -> 3bx 3 , dengan keadaan a dan b adalah pemalar, cari nilai a dan b. Given p : X -> 3x + a and p-1 : x -> 3bx - 2, where a 4 and b are constants, find the value of a and of b. U -3 -1 O 4 18 24 15 6 12 39 f(x) X w / -....-X X 4 Rajah di atas menunjukkan fungsi f(x) = x2 - 10x + 15 untuk

Could you give me an original example of a function word problem like the image shown? With answers too, and steps pls. A car's efficiency in terms of miles per gallon of gasoline is a function. If a car typically gets 20 mpg, and if you input 10 gallons of gasoline, it will be able to travel roughly 200 miles

How to solve ? Unit 5: Polynomial Functic 7. The path of a baseball after it is hit is modelled by the equation h =-4.9812 +12.51t +1.36, where h is the height, in metres, of the ball and t is the time, in seconds, after the ball is hit. a. Find the maximum height that the ball reaches, to the nearest hundredth of a metre. (1 mark) 9 = - 4.98+2 +

Explain how to do this with excel please Quantity of First Units = Conversion Facto Second Units 5 Use entries from the conversion table on the right to perform the following conversions. kilogram (kq) 2.2046 pounds [lb) luid ounce (floz = 29.5735 milliliter (mL) Note that you may only use entries from the Conversion Factor Table to the right,

Stat 2118 Homework 8 For this homework use the data set class.xlsx, which is on blackboard. This data set consists of a previous semester's students' scores in STAT 2118. The variables from the data set are the scores in eight homework; two midterms, and the nal. The objective is to study the nal exam score and which variables inuence it. The goal

Questions 1. Select Stat/ Summary Stats / Correlation. Select all variables .Click 'Compute'.You should see what is called a "Correlation Matrix" (You don't need to provide the matrix ). a. Look at the R( Runs Scored) column ( and/or row) .Which variable is most strongly positively correlated with Runs Scored and what is the value of the

1.31am 1which of the following graphs are functions and explain your reasoning. {:1 marks, (3] 3] '14-'11! 2. Given f(x)= x2 -5x +3, then evaluate f(-1). (2 marks, K) 3. Given f(x) = x2 - 4x -6, find the equation of the inverse function. (2 marks, T) 4. Given the following graphs that have gone through transformations, identify the base(parent)

Lab 7: Conservation of Linear Momentum Objectives When you have completed this assignment, you will be able to: 1. Understand the concept of linear momentum. 2. Understand the concept of conservation of momentum. 3. Examine the motions of the elastic and inelastic collisions between two objects. Discussion If an object is in motion with mass m and

4. Read the Economist article entitled "Comradely Capitalism", the WSJ article entitled " The Mortgage Market's $1 Trillion Pocket of Worry ", and the FT Alphaville's article on new Fed Chairman's Jerome Powell's comments on potential GSE reform posted in NYU Classes (session 3, required). a. What does "Comradely Capitalism" refer to? How well

True/False 1. True or False? A Kruskal-Wallis test is used to compare a continuous outcome in more than two independent samples. 2. True or False? H 0 for a Mann-Whitney U test is always that the two populations are equal. 3. True or False? When performing a Mann-Whitney U test, one should always use the lower value of the calculated U values to

quizzes/50945/take O O O wight of students O O O OO 120 140 160 180 200 220 240 O O O O O O O O O O O OO O OO 00 0 0 O O O O 65 70 75 height of students . This kind of graphs are called scatterplots, it relates two variables. The x-axis variable is called independent variable and y-axis variable is called dependent or outcome variable. Here as

Group 5: The IRS reports that the mean federal income tax paid in 2014 was $14,040 (IRS, 2014} with a standard deviation was $2,200. A random sample of 1000 tax forms is drawn to study. Assume that the distribution of federal tax paid is approximately normal. Round all probabilities to three places. 1. List the requirement[s) that make this

(book 2.4) Prove that E[X^n] >= (EX)^n for n=2k and k is an integer greater than or equal to 1. Which of the following arguments proves the claim? (The first answer choice given here does not exactly match that answer choice in the document you have been working on. If you answer the question correctly here using EITHER the version in the document

How do you determine how much view the red square covers

3. Stress and Strain A metal rod with the length 0.4 m and the radius 0.01 m has the following stress-strain curve: 1000 Stress (Mpa] 750 500 250 004 0. 1 0.2 0.3 0.5 Strain a. Determine the Young's Modulus. (4 pts) b. Determine the yield strength for a strain offset of 0.002. (4 pts) c. Determine the maximum load that can be sustained by the

you see a lighning flash and then hear the thunder from it later, how long is the delay if the event is 1 mile away? Pick the closest of these to your estimate. Hint: A mile is 1.6 km. imperceptibly different for a distance of only 1 mile 10 seconds 5 seconds 1 second

The Red Lobster Restaurant chain conducts regular surveys of its customers to monitor the performance of individual restaurants. One of the questions asks customers to rate the overall quality of their last visit. the listed responses are Poor 1, Fair 2, Good 3, Very Good 4, and Excellent 5. The survey also asks respondents whether their children

3. When performing a two-sided z-test you obtain m: 2.10. If the signicance level is set at on = 0.05, then the decision should be the null hypothesis. (2 pain ts) a. Accept b. Fail to reject c. Reject (1. Not enough information to make a decision

The score of the LSAT examination have a population mean = 70 and population standard deviation = 10. Answer the questions below. 1.) A random sample of 64 individuals is taken. What is the probability that the sample mean is below 71? 2.) A random sample of 100 individuals is taken. What is the probability that the sample mean is below 71?

(a) Suppose that A is a 6 x 6 matrix with characteristic polynomial CA(A) = (1 + 2)3 (1 + 1)2 ( 1 - 1). Does there exist a set of three linearly independent vectors v1, V2, V3 in R such that Av1 = V1, Av2 = v2, and Av3 = V3? Justify your answer. (b) Let X and Y be square matrices of the same size. Suppose that A is an eigenvalue of X and / is an

(a) Suppose that A is a 3 x 3 diagonalizable matrix and that { v1, v2, v3} is a basis of R' consisting of eigenvectors of A with corresponding eigenvalues 1, 12, 13. Suppose that the matrix B is also a 3 x 3 diagonalizable matrix with the same eigenvectors as A, although with possibly different eigenvalues 1, 62, 63. Prove that A + B + 21 is a

Applicants for a job at Norco Company are administered two types of psychological tests -{ an objective test and a projective test. These tests are scored on a scale from 0 to 10. Let O and P represent the scores attained on these two tests by a randomly selected applicant. The mean and variance of scores on these tests has been E[O] = 5, E[P] =

Preventable chronic diseases are Increasing rapidly in some regions, particularly diabetes. Shown below is a contingency table showing cross classification of educational attainment and diabetic state for a random sample of 1173 people in a region (HS is high school). At the 1% significance level, do the data provide sullicient evidence to

May someone help please. 6. (8 pts) Find the derivative of the inverse (f-1) (2) to the function f(x) =1+8-c' +r

efer to the image here which shows a hill, an intermittent stream (in blue), contour lines (light brown) and two index contours (darkened brown contour lines). Assume the contour interval for this map is 5 ft, and the index contour that is crossing the stream has an elevation of 70 ft. Assume that North is at the top of the image. image.png Is the

The formula for the volume of a sphere is V = m3. 3 Which of the following is the same equation solved for the variable r? O a')r=%n'v3 b.) :13 O r 4n V c) _ 0 r 4n 0 (\"msNW

Let the random variable be uniformly distributed in the interval [0,2] Suppose we have X=Cos() and Y=Sin() . Analyze the distribution to find whether the random variables X and Y are independent? Are they uncorrelated? Are they orthogonal? Comment on the uncorrelatedness if the interval of distribution changes to [0,/2]

primes. 16. Still the 1 (S). Consider the following sequence of natural numbers: 1111, 11111, 111111, 1111111, 11111111,.... Are all these numbers prime? If not, can you describe infinitely many of these numbers that are definitely not prime

1. A US firm has sold $ 100 million in exports to another firm in the UK . The current spot rate is $ 2.00 = EI so the UK firm has contractually agreed to pay the US firm $50 million in 30 days . Thus the US firm has an AIR Of $50 million . The US firm does not hedge this A/R and thus faces FX risk . A. What is the dollar value received by the US

)1 exit rurlscreen 3. The following table shows the concentration of medication in a patient's blood after an injection. a. Use technology to determine the most appropriate regression equation. b. Use the regression equation to find the concentration after 3 hours. What can you conclude from your answer? 5. A researcher is studying growth patterns

1- (10 pts, 8 pts for graduate students) Consider the following model and data sections of AMPL input for a mathematical program. model; param m; param n; param 1; set plants := 1 .. n; set procs := 1 .. m; set periods := 1 ..1; param p(i in procs, j in plants, t in periods]; param bli in procs, t in periods); param r(j in plants t in periods);

The measures of the angles of the triangle are indicated in terms of x. Find the measure of angle A. The measures of the angles 01 the mangle are Indicated In terms of X Find the measure of angle A The measure of angle A Is

Find two linearly independent solutions in Frobenius series ( for x> 0) for the edo 2x^2y '' + xy '- (3-2x^2)y = 0

Page . Find a missing side (or angle) of two similar figures Triangle Similarity: Be able to: TITLE . Identify when 2 triangles are similar using AA. SAS. or SSS triangle similarity 1 9:54 Triangle Proportionality: imanA inA Be able to: Use scale factor or proportions to find a missing side of similar triangles Use angle bisector theorem,

9. Which arithmetic expression will return a numeric value? 1. '14-FEB-2002' + 25 2. '03- JAN-200' - 30 3. '17-JUN-1999' * (480/24) 4. TO DATE('01-JAN-2001') - TO_DATE('01-DEC-2000')

Solve the transportation problem described below using Simplex Method: \f\f

La empresa MAXIBOX fabrica cajas de carton. Esta empresa ha encontrado que la ecuacion de la demanda para su producto principal comporta con forma exponencial mediante la funcion p(q) = 25.507e-0.029. donde q es la cantidad de unidades en cientos. Los costos variables de fabricar este producto son de 5 dolares la unidad. Si el costo de fabricar q

This problem computes discrete logarithms. (a) Describe a Baby Step, Giant Step attack to find a in 5* = 46 (mod 47). (b) In this exercise you will independently study the Pohlig-Hellman algorithm Apply the Pohlig-Hellman algorithm to find y in 59 = 20 (mod 47). (c) Without using a Baby Step, Giant Step attack or the Pohlig-Hellman algo- rithm,

Fill in the blanks in the following table. Round your answers to 2 decimal places. Cost ($) Amount of Markup ($) Selling Price ($) Rate of Markup on cost (%) Rate of Markup on Selling Price (%) Amount of Markdown ($) Rate of Markdown (%) Reduced Selling Price ($) a. $241.50 $72.50 $41.75 b. $826.57 $224.50 21.00% c. $74.00 8.00% $155.00 d. $3.25

If something is elastic, then it will change due to outside forces

A pot at the end of the rainbow has one gold coin, two silver coins, and one bronze coin. If a coin is selected at random, and it is not gold, the process is stopped. If the coin is gold, the coin will be kept back in the pot, and then another coin is picked randomly again, and then the process stops. For this process, a person can pick either one

kindly do it fast Q1. Consider the limit lim sin (x2 - "- ) x - a) (2 marks) Explain why the following argument is incorrect: -1

&. Use summation properties and formulas to rewrite and evaluate the sum: 20 100(k 5k + 1) k=1

1. A surveyor is surveying a cave. He follows a passage that goes 210m straight West, then 180m in a direction 45deg East of North, then 110m at 60deg East of South. After a fourth unmeasured displacement he finds himself back where he started. a) Determine the fourth displacement (magnitude and direction) by polygon method. (use a scale 1cm:20m)

Plans for a zoo's new exhibit call for the animal enclosures directly across the sidewalk from each other to be congruent. This computer printout shows the elephant pen. If the vertices of the rhinoceros pen are located at (-x1, y1), (-x2, y2), (-x3, y3), and (-x4, y4), will the rhinoceros pen be congruent to the elephant pen? On a coordinate

This is topology. 3. [solo] (a) Consider the equivalence relation on R defined by (x1, y1) ~ (x2, y2) if and only if x1 + y1 = x2 + y2. Describe the set of points in each equivalence class. What is the quotient space, again up to homeomorphism, that results from considering the set of equivalence classes? (b) Same problem except the equivalence

O In 1912, the RMS Titanic, a British passenger ship, sank in the North Atlantic Ocean after colliding with an iceberg. Historians do not know the exact 2 passenger list, so the death toll is estimated. Here is data from the 2201 passengers on board, by cabin class. First Class Second Class Third Class Crew Row Totals Died 122 167 528 673 1490

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