1. maths

    in right angled triangle ABC, angleBis90 degree and C is an acute angle of60degree. Also sin m

    asked by Rose on September 27, 2011
  2. Pre-Calculus

    Find the values of x for which the line y=2x intersects the parabola y=(x-1)^2+1. So I set the equations equal to eachother, and solved for x using the quadratic formula. The solution I got was: x=3.41 and x=0.59. Could someone please check my work.

    asked by Jon on September 20, 2010
  3. Math

    Suppose that è is an angle in standard position whose terminal side intersects the unit circle at ((-15/13),(12/13)). Find the exact values of cscè, tanè, and sinè.

    asked by Nick on April 17, 2014
  4. maths

    a fresh cup is in the form of a right circular one of base radius 7cm abd height 24cm .find the area of the sheet required to 10 such cats.

    asked by annu on February 12, 2016
  5. Physics

    In the figure below, m1 = 3.1 kg, m2 = 5.8 kg, and the coefficient of kinetic friction between the inclined plane and the 3.1-kg block is μk = 0.27. Find the magnitude of the acceleration of the masses and the tension in the cord. The incline is at at 30

    asked by Jimmy on October 12, 2011
  6. calculus-can someone please help me with this ques

    Given the following polynomial, find a. the zerros and the multiplicity of each b. where the graph crosses or touches the x-axis c. number of turning points d. end behavior f(x)=(x-1)(x-5) **please show work**

    asked by confused--Please help!!!! on December 17, 2012
  7. calculus

    Find the value of $800 deposited in a bank at 10% interest for 8 years compounded in the following ways. (Round your answers to the nearest cent.) (a) annually_________$ (b) quarterly_________$ (c) continuously________$

    asked by aj on March 7, 2018
  8. English

    I really needed help to find an academic journal (not website) based on Marxist theory specifically something talking about money. I looked through tremendous amounts of pdf's so I really need help now.

    asked by S.S on January 20, 2018
  9. statistics

    A set of normally distribution data had mean of 3.2 and a standard deviation of 7.0. Find the probability of randomly selecting 30 values and getting a mean greater than 3.6. a. 0.9991 b. 0.7157 c. 0.2843 d. 0.0009

    asked by maczindahouse on February 21, 2019
  10. physics

    A large truck (m=3300kg) accelerates from 15 m/s. Neglecting any friction or air resistance, find the average mechanical power that the trucks engine must supply.

    asked by Stacy on May 31, 2013
  11. Trigonometry

    Point P is located at the intersection of the unit circle and the terminal side of angle theta in standard position. Find the coordinates of P to the nearest thousandth.

    asked by Spencer on September 17, 2012
  12. Solid machanics

    At a point in a strained material the principal stresses are 60MPa and 40MPa. Find the position of the plane across which the resultant stress is most inclined to the normal and determine the value

    asked by Ashok on December 10, 2015
  13. applied mechanics

    How do we calculate the "radius of gyration" of a 500g steel rod spinning at 300 RPM and having a lenght of 30cm? We need this to find the moment of Inertia... don't we?

    asked by Henri on May 7, 2009
  14. History Help Please!!!

    i'm writing a paper on the Bolivarian Alternative for the Nations of Our America and I need to tie in a leaked U.S. document that referred to particular countries called the "Axis of Mischief." I can't find one, could you please help??

    asked by brett on December 16, 2010
  15. English grammer

    Use the conjunctions as,for,since,while in the sentence 1.the sun was very hot.it was still summer. 2.she can find the way.she is so clever. 3.he began to get frightened.it was getting dark 4.mona read a book.the baby slept.

    asked by Anonymous on March 6, 2018
  16. accounting

    After filling out a perpetual inventory card using fifo i need to find out how to prepare a journal entry to record a sale of 60 units sold assuming i got 5.00 each for them? Confused

    asked by JW on November 14, 2011
  17. Algebra II

    In an election poll, 56% of voters chose a certain candidate. find the margin of sampling error. So far I have: ME=2sqrt0.56(1-0.56)/400 but I don't know how to finish the problem. Any help would be great!

    asked by Lucy on April 5, 2008
  18. Math for liberal arts

    A single 6-sided die is rolled twice. C. Find the odds in favor of getting 2 numbers whose sum is greater than 5. I would simply like to be shown the steps to work this problem.

    asked by KeKe on September 16, 2012
  19. Geometry

    I need to find surface area of triangular prism-dimension of base is 9.9 by 6.2 distance between bases is 14.6 choices are: 436.278 466.97 332.94 253.46 Thank you

    asked by Julia on May 3, 2010
  20. Physics

    A robot probe drops a camera off the rim of a 429 m high cliff on Mars, where the free-fall acceleration is 3.7 m/s2. What equation will be appropriate to find velocity?

    asked by Elizabeth on September 28, 2014
  21. english

    how would i compare and contrast these two realist stories a good man is hard to find by flannery o' Connor and a pair of silk stockings by kate chopin

    asked by sara on April 17, 2010
  22. Math

    A taxi cab is purchased for $30,000. At the end of 10 years, it is sold for scrap for $2000. Find the depreciation equation in slope-intercept form/

    asked by T on December 19, 2018
  23. environmental science

    You may never live in a big city, but we must all find ways to lower our environmental impact. What can the average citizen do with a minimum of cost and inconvienence to become more environmentally friendly?

    asked by amanda on February 24, 2010
  24. reading

    I have a 'movie' book report and I need some peopie to play parts for Huckleberry Finn. Could you give me a website to find some alive, famous people? (do not need to be actors)

    asked by Anya on February 14, 2009
  25. Physics

    A force of 10N applied normal to the wall can just prevent the sliding of a wooden block. If co-efficient of static friction is 0.2.Find the weight of the body.

    asked by avi on August 7, 2011
  26. Environmental Science

    4. You may never live in a big city, but we must all find ways to lower our environmental impact. What can the average citizen do with a minimum of cost and inconvienence to become more environmentally friendly?

    asked by lisa on February 24, 2010
  27. Supply and Demand

    50) the monthly demand and supply functions for the Luminar desk lamp are given by p=d(x)= -1.1x^2 + 1.5x + 40 p= s(x)= 0.1x^2 + 0.5x + 15 respectively, where p is measured in dollars and x in units of a thousand. Find the equilibrium quantity and price.

    asked by Steff on June 6, 2011
  28. math

    you want to find how many people in ur community are vegetarian. wherewould be the best plac eto take a survey? a a health food store b a steak house c a shopping mall

    asked by pari on September 13, 2008
  29. Statistics

    In a recent year, Delaware had the highest per capita annual income with $51,803. If o=$4850, find the mean X that falls at the 95th percentile for a sample of 35 residents.

    asked by Amy on July 2, 2013
  30. geometry

    I sent question about rt triangle, ABC, needing to find a & b. altitude was 4, base a and hypotenuse b. You mentioned knowing another angle. There is one < A is 45 degrees. Thanks for all your help. Math is not an easy subject for me.

    asked by robin on April 25, 2015
  31. History

    hi i am writing an essay for a history class about how salutary neglect was the leading factor in the american revolution. I need to find a lot of information because it is a long paper can someone please help me.

    asked by jon on August 20, 2008
  32. calculus

    a random sample of 80 students at a large school shows an average grade of 72 in algebra with a standard deviation of 4. find the t-score you would use for an 95 % confidence interval

    asked by emanuel hargrove on November 27, 2012
  33. math

    sofia deposits birr 3500 in a bank account paying an annual interest rate of 6%. find the amount she has at the end of the fourth year?

    asked by ashenafi on December 19, 2018
  34. Advanced Functions/Precalculus

    Trigonometry Questions 1.) Find the exaqct value of tan(11π/12) 2.) A linear trig equation involving cosx has a solution of π/6. Name three other possible solutions 3) Solve 10cosx=-7 where 0≤x≤2π

    asked by john on December 4, 2013
  35. f.u.t minna

    the period of a simple pendulum(T) depends on a mass of the bulb(M) length of the tred(L) and acceleration due to gravity(g) use the method to find the expression for the of oscillation(T).

    asked by akeem on November 30, 2010
  36. Math

    A trapezoid is formed by placing a right isosceles triangle next to a square as shown in the figure. The total area is 54 ft2. Find the length of the bases and the height.

    asked by Ashlee on September 26, 2011
  37. Calculus II

    Assume that the rate of change of the unit price of a commodity is propirtional to the difference between the demand and the supply, so that dp/dt = k(D-S) where k is a constant of proportionality. Suppose that D = 72-5p, S = 9 + 2P, and p(0) = 2. Find a

    asked by Catherine on October 6, 2017
  38. math

    The length of a room is double its breath. Its height is 5m the area of four walls ( including the door and windows) is 210sq m. Find its volume solve this sum

    asked by Manjot on November 21, 2017
  39. business grade 10

    what are some ways to to change hositals from ineffiecient public bureaucrcies to a customer focused? i searched for info from the internet but i couldn't find any, and i need help ASAP please!!!!! HELP MEEE!!!thank you

    asked by sameul on September 28, 2009
  40. Physics

    How do we calculate the "radius of gyration" of a 500g steel rod spinning at 300 RPM and having a lenght of 30cm? We need this to find the moment of Inertia... don't we?

    asked by Henri on May 6, 2009
  41. calculus - functions!

    I was assigned this problem and I'm coming up against a brick wall. Here it is: Given that f(x) = 2x+1 and h(x) = 2x^2+4x+1, find a function g such that f(g(x)) = h(x) I tried to factor 2x^2+4x+1 but ended up with something that didn't work. Am I missing

    asked by Alyn on February 9, 2009
  42. math

    Henry wishes to accumulate $4,500 in 2 years for a long vacation. Find the sinking fund payment he would need to make each month, at 6% compounded monthly

    asked by dreamkatcher76 on December 4, 2013
  43. Math

    1. Find the volume of a rectangle prism with the length 4m, width 6m, and height 11m. 2. 3 1/2 yards = _____feet? 3. How many days are in 624 hours? 4. 4.39 x 37.5 is between which to consecutive intergers?

    asked by Taliyah on January 6, 2011
  44. Pre Algebra

    Please help! This is due tomorrow... I don't understand how "Counting Outcomes and Theoretical Probability" works! There's a question that says: You toss two coins. Find P (one head and one tail). Please help!

    asked by Lily on May 20, 2008
  45. Physics

    A solenoid 1metre long and radious 4cm has 1000 turns and is carrying 1Ampere current.find the magnetic flux density at the centre.

    asked by AB on May 19, 2018
  46. physical education

    I'm doing a gym project on some terms. I need to find pictures for each term. What would be a good picture to represent the words, target zone and resting heart rate?

    asked by brielle on January 29, 2012
  47. math

    find the perimeter and area of asegment of acircle of radius 8cm, cut off by achord that subtends acentral angle of: A,120 B,3/4 paiy radians

    asked by tarekegn on May 17, 2015
  48. Physics

    Two 200kg masses (400lb)are separated by a distance of 0.75m Using Newtons law of gravitation,find the magnitude of gravitational force exerted by one mass on the other.

    asked by KerryAnn on October 1, 2018
  49. physics

    A snowmobile is originally at the point with position vector 31.5 m at 95.0° counterclockwise from the x axis, moving with velocity 4.29 m/s at 40.0°. It moves with constant acceleration 1.82 m/s2 at 200°. After 5.00 s have elapsed, find the following.

    asked by hhh on September 24, 2012
  50. maths

    find the amount of sheet metal needed to form a conical funnel of base radius 30 cm and vertical height 50 cm, allowing for a 0.5 cm overlap at the join?

    asked by Chirayu on October 18, 2009
  51. Math

    A man travels distance 18km/h from his house to an exhibition by rickshaw at km/h and return back on cycle at 20km/h find his average speed for the whole journey

    asked by Sadique on May 26, 2017
  52. 11th grade

    I need to find an example of Inversion/abnormal word order in either "The Crisis" by Thomas Paine, "The Declaration of Independence" or "The Death of a Salesman" and am having trouble understnading what to look for in the readings. Any help?

    asked by Joan on December 28, 2009
  53. heat capacity , physics

    if an electric kettle of 5ooW power and water in it,is heated.the temperature change from10-15c for 100 sec.find the heat capacity

    asked by saby on April 11, 2013
  54. planning & implementing for the environment

    Purchasing equipment that has multiple uses can A. be more accessible to the children. B.make less work for staff. C.cut costs and encourage creative play. D.be easier to find. C

    asked by Amanda on October 20, 2014
  55. math

    Find the dimensions of an open topped box that can be made from 3600 cm^2 of cardboard, if the length of the base is three times as long as its width. What is the maximum volume?

    asked by Jim on April 16, 2016
  56. math

    Two equal circles of radius 8cm intersect at X and Y. If the line joining the centers is 12cm long, find the length of XY. with solution pls, tnx...

    asked by HELP HELP HELP MNHS on January 30, 2013
  57. Math

    Can anyone help me find links or sites about sum and product of the roots of quadratic equation solving real life problem involving similarity and proportion?

    asked by Cyrille on March 4, 2015
  58. trig

    Find all solutions of cos (x) + 1/2 sec (x) = -3/2 in the interval (2pi, 4pi) (Leave your answers in exact form and enter them as a comma-separated list.)

    asked by Holly on July 31, 2013
  59. Science-Chemistry

    Wirte the half equation for the reduction of acetic acid. I Know that a colourless odourless gas is formed in the process but I can't seem to find an appropriate product to accompany it. Pleasae help.

    asked by Ben on January 28, 2008
  60. geometry

    how do you find out the center of a circle that circumscribes a triangle? See the midperpendicular paragraph. http://www.bymath.com/studyguide/geo/sec/geo7.htm

    asked by jessica on November 14, 2006
  61. pre calculus

    Given the following polynomial; f(x)=(x-2)^3 Find: a. the zeros and the multiplicity of each b. where the graph crosses or touches the x-axis c. number of turning points d. end behavior I have no clue what I am doing. pleeeaaase help!!!

    asked by sally on April 10, 2013
  62. math 7th grade

    If after the holiday season, the average number of customers per day at the Game Galaxy store decreased from 612 to 450. Find the percent of decrease thank you

    asked by Peggy on January 5, 2016
  63. Math

    Find total amount in the compound intrest account. $2000 is compounded quarterly at a rate of 8% for 6 years. (Round to nearest Hundereths as needed)

    asked by christopher on April 17, 2010
  64. Math

    Find the total amount in the compound intrest account. $4000 is compounded annually at a rate of 11% for 3 years. (Round the nearest hundredths as needed)

    asked by christopher on April 17, 2010
  65. Algebra II

    Find the accumulated value of an investment of $3000 at 9% compounded continuously for 3 years. Isn't the formula 3000e(0.09)x(3)??..which would be $2,201.81...but its wrong?!!..any suggestions would be greatly appreciated

    asked by Amber on April 27, 2009
  66. Trigonometry

    Find all solutions of 4(sin(x)**2)-8cos (x) -8 = 0 in the interval (2pi, 4pi). (Leave your answers in exact form and enter them as a comma-separated list.)

    asked by Holly on July 31, 2013
  67. Physicd

    A body of mass 2kg initially moving with 10m/s and a force is applied 10 N at an angle 53 degrees with the normal then find velocity and acceleration after 5 seconds

    asked by Sanobar on March 27, 2017
  68. math

    The length of a room is double its breath. Its height is 5m the area of four walls ( including the door and windows) is 210sq m. Find its volume solve this sum

    asked by maths on November 21, 2017
  69. Math

    the drawing is composed of rectangle and a semicircle . Find the area of the figure to the nearest unit the left side is 22 the top is 10 A.41 B.220 C.410 D.820 thanks for ur help! :)

    asked by Playtime on March 31, 2019
  70. english 3

    hi how do i like compare and contrast these two realist stories a good man is hard to find by flannery O'Connor and a pair of silk stockings by Kate Chopin

    asked by sara on April 19, 2010
  71. Math

    The following rational function describes blood concentration of a certain drug taken via IV over time, find a. the horizontal or oblique asymptotes b. the vertical asymptote c. describe their possible meanings f(x)= x+1/x

    asked by Jay on November 7, 2015
  72. Math 11 - Rational Expressions

    I really don't understand how you find or identify the restrictions at all for rational expressions, can someone talk me through it? I have a math exam Monday and I'm stressed. Thanks. Here are some examples for my textbook if needed... 1) 2x + 1 / 2x - 1

    asked by M. on June 20, 2014
  73. math

    A car with a sticker price of $42,850 with factory and dealer rebates of $5,100 Find the monthly payment if financed at 2.5% add-on interest for 60 months.

    asked by Anonymous on November 21, 2013
  74. Physics

    A small car has a mass of 300 kg and it is brought to rest in 4 seconds from a speed of 20 metres per second.If there is no resistance to motion,find the force exerted by the brakes

    asked by Kila on August 31, 2016
  75. electronics

    Find the value of the remaining components of a common emmitter single stage amplifier circuit given Ic=3mA, Tr=ZTx300, hfe=80, F=40Hz, Ve=2.5 show workings A

    asked by kaycee on March 20, 2016
  76. Math

    A right circular cylinder is to be designed to hold 750 cm3 of processed milk, and to use a minimal amount of material in its construction. Find the dimensions for the container.

    asked by Mary on July 31, 2011
  77. calculus-can someone please help me with this ques

    Given the following polynomial f(x)=(x-1)(x-5), find A.the zeros and the multiplicity of each one b. where the graph crosses or touches the x-axis c.the number of turning points d. the end behavior Please show work.

    asked by Ladybug--Please help!!!! on December 17, 2012
  78. Trigonometry

    an open box is made by cutting squares from the corners of a piece of metal that is 18 cm by 26 cm. If the edge of each cut-out square is x cm, find the volume when x=1, x=2, and x=3. If someone could explain to me how to do this. It would be very

    asked by asdfghjk on August 24, 2011
  79. statistics

    A final exam in Math 157 is normally distributed and has a mean of 75 with a standard deviation of 12. If 36 students are randomly selected, find the probability that the mean of their test scores is greater than 70.

    asked by Jessica on June 22, 2011
  80. AP Physics B

    If the system shown in Figure P8.29 is set in rotation about each of the axes mentioned in problem 29, find the torque that will produce an angular acceleration on 1.5 rad/s2 in each case.

    asked by Rochelle on November 14, 2012
  81. trigonometry

    can someone check the first one and help me with the last two find the values of s in the interval [0,pi/2] that make the statements true. 1. sin s = 0.75438373 i got 0.8547148 2. cos s = 0.74241049 is it .83666126?? 3. cot s = 5.6394377 :)

    asked by y912f on January 15, 2009
  82. Geometry

    One leg of an isosceles right triangle is 14cm long. Find the length of the hypotenuse. C^2=a^2+b^2 C^2=14^2+14^2 392=14^2+14^2? What do I write? Because 14 square root 2 doesn't make sense.

    asked by Kt on May 3, 2016
  83. help

    An investment of $10,000 in the Emerging Country Debt Fund in 2001 was worth $24,780 in 2006 find the 5-year average annual return.

    asked by Anonymous on November 1, 2009
  84. calculus

    A rocket fired at 275 m/s at 36o angle of elevation is described by: x= (275cos〖36〗^0 )t and y= (275sin〖36〗^o )t-4.9t^2 Find the velocity (magnitude and direction) at t = 8 s. Round to 1 decimal place.

    asked by Preet on November 26, 2012
  85. Math question check

    find the surface area of a square pyramind with a base length of 24cm and a height of 16cm . . . . . . . . A.1056 cm^2 . . . . . . . . . . B.1536 cm^2 . . . . . . . . . . C.816 cm^2 . . . . . . . . . . D.1344 cm^2(I PICKED THIS ONE)

    asked by luna on March 20, 2014
  86. Statistics

    You are dealt a hand of three cards, one at a time. Find the probability that your third card is your first jack. A) 0.068 B) 0.145 C) 0.127 D) 0.077 E) 0.00018 How do I set this problem up?

    asked by Larry on October 5, 2013
  87. Calc 1

    A rectangular garden is to be enclosed by a fence and divided into 5 regions as shown below. Find the values of L and W for which the total area is as large as possible assuming that only 120 ft. of fencing is available.

    asked by TayB on May 3, 2015
  88. algebra

    You deposit $500 in an account that pays 3% annual interest. Find the balance after 2 years if the interst is compounded with the given frequency. a) annually b) quarterly c) daily

    asked by Kayla on March 8, 2010
  89. Calculus

    The volume V of a growing spherical cell is V =4/3πr^3, where the radius is measured in micrometers (1 µm = 10^−6m). Find the average rate of change of V with respect to r when r changes from 3 to each of the following. i)3 to 6µm ii)3 to 4µm

    asked by Joey on October 31, 2015
  90. outlines

    where would i go to find different samples of outlines? Try these sites. http://owl.english.purdue.edu/handouts/general/gl_outlin.html (Broken Link Removed)

    asked by patti on January 16, 2007
  91. Physics

    Why is it highly unlikely to find an ion with a charge less than -4 or greater than +4? I need examples of different types of ions and evidence to support the logic using the concepts of ionization energy and electronegativity.

    asked by Sarah on August 6, 2013
  92. Physics

    find the electrostatic potential, and then the electric field a distance z above the centre of a circular loop of radius r, which carries a uniform line charge (lamda)

    asked by Danny on October 13, 2011
  93. Math

    find the median of 2,2,26,14,49,42,39. If necessary, round to one decimal place. A) 14 B)25.4 C)39 D)26 I have done the math for this calculation by adding the numbers and then divided by 7 and got 24.85714286 by rounding I would have 24.9. Which isn't an

    asked by Carol on May 12, 2015
  94. Chemistry

    A reaction at 3.24 atm consumes 5.10 L of a gas adiabatically (q = 0). Calculate the change in internal energy of the system (in kJ). I know that I have to use w=-p deltaV but how do i find the Final and Initial volumes?

    asked by JUNDY on March 31, 2015
  95. Physics

    I have to find the Current created by earth as it circles the sun.through the formula I=(Q/delta t). Hint:It says think of the cross section of the earths orbit.How often does a charge pass through it.

    asked by Jim on March 10, 2008
  96. AP Calc Help!!

    Let f be the function satisfying f'(x)=x√(f(x)) for all real numbers x, where f(3)=25. 1. Find f''(3). 2. Write an expression for y=f(x) by solving the differential equation dy/dx=x√y with the initial condition f(3)=25. Please show work and reasoning.

    asked by Jess on March 21, 2013
  97. Research

    Can someone help me find more information on George Beers who wrote on Russian Collectivisation? No webmaster contact available for the website I was on. I need to assess the sources reliability and I need the authors credidentials...

    asked by Em on May 26, 2011
  98. electronics

    Two identical small charged spheres, each having a mass of 3.00*10^-2 kg hang in equilibrium . The length L of each string is 0.150m, and the angle between them is 5. Find the magnitude of the charge on each sphere

    asked by katlego on April 10, 2014
  99. chemistry

    We did not find any results for 'if the solubility of cuso4.5H2O at 30 degree celcus is 25 gram per 100gram of H2O.what is the maximum mass of crystal that will be obtained from 10gram?

    asked by doni on September 2, 2014
  100. Geometry

    I only have one question # 1 find to the nearest meter the height of a church spire that casts a shadow of 50 meters when the angle of elevation of the sun measures 68 degrees.

    asked by Anonymous on October 29, 2013

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  1337. 1337
  1338. 1338
  1339. 1339
  1340. 1340
  1341. 1341
  1342. 1342
  1343. 1343
  1344. 1344
  1345. 1345
  1346. 1346
  1347. 1347
  1348. 1348
  1349. 1349
  1350. 1350
  1351. 1351
  1352. 1352
  1353. 1353
  1354. 1354
  1355. 1355
  1356. 1356
  1357. 1357
  1358. 1358
  1359. 1359
  1360. 1360
  1361. 1361
  1362. 1362
  1363. 1363
  1364. 1364
  1365. 1365
  1366. 1366
  1367. 1367
  1368. 1368
  1369. 1369
  1370. 1370
  1371. 1371
  1372. 1372
  1373. 1373
  1374. 1374
  1375. 1375
  1376. 1376
  1377. 1377
  1378. 1378
  1379. 1379
  1380. 1380
  1381. 1381
  1382. 1382
  1383. 1383
  1384. 1384
  1385. 1385
  1386. 1386
  1387. 1387
  1388. 1388
  1389. 1389
  1390. 1390
  1391. 1391
  1392. 1392
  1393. 1393
  1394. 1394
  1395. 1395
  1396. 1396
  1397. 1397
  1398. 1398
  1399. 1399
  1400. 1400
  1401. 1401
  1402. 1402
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  1408. 1408
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  1414. 1414
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  1416. 1416
  1417. 1417
  1418. 1418
  1419. 1419
  1420. 1420
  1421. 1421
  1422. 1422
  1423. 1423
  1424. 1424
  1425. 1425
  1426. 1426
  1427. 1427
  1428. 1428
  1429. 1429
  1430. 1430
  1431. 1431