
Mathmatics
Show that the equation 3x^2  x^3 + 3 = 0 can be rearranged to give: x = 3 + 3  x^2 x^3 = Divide by ? = x = 3 + 3  x^2 Using Xn+1 = 3 + 3 with x0 = 3.2  x^2n find the values of x1 x2 and x3? What to the values of x1 x2 and x3 represent? The
asked by Joe on January 3, 2017 
geometry
Point A is 5 feet from the center of the circle and 12 feet from point B. is tangent to circle O at A. Find OB to the nearest tenth. Answer Choices: 13 ft 14.3 ft 26 ft 5 ft
asked by DA on April 28, 2012 
Trig
Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s.? Radius, r=16 ft Arc length, s=10 ft
asked by Sue on May 18, 2012 
Mathmatics
The number of t teaspoons in b tablespoons can be found by using the equation b=t/3 . Find the number of tablespoons needed for a recipe that calls for 8 1/2 teaspoons of sugar.
asked by Themathperson on March 22, 2011 
math
Thickness of 12 sheets of paper is 2.4mm, find the thickness of 1 sheet of paper, help im 12 years old and \i don't know the steps can u show the steps please
asked by marisddd on August 27, 2016 
Math
Sarah can make 6 bracelets per half hour. How many bracelets can she make in 1 hour? Find the factor for the conversion, pints to quarts .
asked by Kate on January 14, 2013 
Algebra
What number must be added to both the numerator and denominator by 3. If 3 is added to the numberator and 9 is subtracted from the denominator, the new fraction is equal to 3/2. Find the original fraction.
asked by Brandon on August 11, 2011 
Physic
A ball of mass 0.7Kg is dropped unto a floor from a height of 5m and rebounds to a height of 3m. Find the impulse on the ball when it hits the floor
asked by Shina omotoye on August 16, 2016 
math
sketch the feasible region for this system of the inqualities and find the coordinates of each vertex:y greater than or equal to 1;x less than or equal to 2; 1x+2y less than or equal to 6;1x+2y greater than or equal to 2
asked by jessica on April 22, 2010 
maths
1.check whether root16/root448 is a rational number or irrational number. 2.if root3=1.732 then find value of square root 31/root3+1
asked by dhivya on June 15, 2017 
Physics
A beam that weighs 10.0 N/m is 2.5m long. It is supported at point a point 0.78 m from one end.? Find the weight of the object that must be placed on the other end of the beam to balance it
asked by Fin on November 4, 2015 
ALGEBRA
A rectangular room is 4.15 meters longer than it is wide, and its perimeter is 27.9 meters. Find the dimensions of the room. The length is : meters and the width is meters.
asked by NINA on September 26, 2015 
Math
The radius,diameter, or circumferences of a circle is given. Find the missing measures. D=2a,r=___,C=___. For the radius I got 1a and the circumferences I got 6.28.a. Could someone check my answer? Thanks
asked by Shadow on September 19, 2010 
geometry
Find the perimeter and area of a right triangle if one leg measures 24ft and the other leg measures 70ft. Shoe step by step please.
asked by lonnese on July 22, 2010 
physics
An object is projected vertically in "V" velocity.After "T" time, another object is projected at the same place in same velocity("V").Find the velocities of stones when they meets.
asked by MAS on October 30, 2016 
Quadratic Equations
The height of a triangle is 1 in. more than twice the base. Find the base and the height if the area of the triangle is 521/2 sq in. (Please provide steps/explanation to solve this problem.)
asked by purpletree on March 29, 2009 
Math
A triangular traffic island has a base half as long as its height. The island has an area of 100 m2 . Find the base and the height.
asked by Kat on January 26, 2017 
Math
You find out your faucet is leaking 10 pints of water every 3 hours. After 6 hours, how many gallons of water will have leaked from the faucet? How do I solve this problem?
asked by Steve on January 22, 2015 
Chemistry
What is the Wavelength( in nm) of the least energetic spectral line in the infrared series of the H atom? I don't understand how to find the least energetic spectral line?
asked by Grace on September 10, 2011 
Adv. Function math
How would you set up this problem if instead of using 1000 feet of fencing, only 750 feet of fencing is used? Solve the problem to find the maximum area..
asked by brittany on February 29, 2012 
math
a shopkeeper bought some eggs at rupees 3 each.20 of them were broken while the rest were sold at 4 rupees each.if he made a profit of 20%,find how many eggs he bought
asked by madina on September 6, 2016 
science '
a book with an area of 0.0800 m/2 and a weight of 1.00 n is lying on the table . find the pressure on the surface of the table caused by the weight of the book.
asked by Anonymous on October 26, 2015 
math
Air is pumped into a spherical balloon at the rate of 20cm^3/s^1.find the rate of change of radius of the balloon when the radius is 6cm
asked by charles on November 25, 2015 
trigonometry
Find all the angles between 0 degrees and 360 degrees which satisfy the equations a. 8 cos x sin x = sin x b. 5 tan^2 y + 5 tan y = 2 sec^2 y.
asked by lindsay on April 21, 2012 
math
If a room were 2m longer and 3m broader its area would have increased by 16 sq m. if its were 1 metre shorter and 2m broader . the area would have increased by 16 sq m. find its lenght and breadth ?
asked by aman on June 2, 2016 
algebra
the sum of the age of a girl and her brother is 26 year 3 years ago her age was 4 time the age of her brother. find their present age?
asked by kiran on November 11, 2014 
Geometry
Line MN is perpendicular to line NP. Point R is in the interior of the angle MNP. If angle MNR = 5x+12 and angle PNR =6x+23. Find both angle measures
asked by Maria on September 9, 2012 
Psychology
I have to find a famous person with a personality disorder and I am having a hard time finding famous people with a personality disorder, one that is legitate, can someone help?
asked by Adam on April 29, 2009 
Physics
Draw a graph to show the decay of 32g of plutonium241. Use the graph to find the mass of plutonium241 after 20 years.
asked by Heena on November 14, 2010 
Geometry
how do you find length when you are given perimeter and width? area? the length of what??????? wow You divide the perimeter by the width!Somebody helped me with this question to. in.=4yd.
asked by Carolina on August 23, 2005 
math
The width of a basketball court is 1 m more than half the length. If The area of the court is 364m^2, find the length and width. how would you solve this problem? please help me.. =)
asked by Chin Po on July 13, 2008 
Math
You toss tails and roll an even number ( when you toss a coin and roll a number cube) Find the probability. I thought It was 1/3 but I think that is wrong.
asked by Lala on March 23, 2011 
calc
Find the critical number(s) of f(x)= abs(2x4) What is the derivative of abs(2x4)? Is it abs(2)? No. You have to specify the domain of x. At x=2, this function has no derivative. At x>2, f' = d (2x 4)/dx= 2 at x
asked by Brian on December 17, 2006 
Math
The sum of the ages of Monica and her mother is 70. Monica is 4 less than 1/2 her mother's age. Find their ages. I've been trying to do this for the past 20 minutes. I think the question is wrong, but try for yourself. Help please!
asked by Catherine on October 6, 2012 
Literature
I need help with this question on Island of The Blue Dolphins: What is an example of foreshadowing in Island of the Blue Dolphins? I've looked through the book but i can't seem to find any, maybe I'm just not looking hard enough. Any help is appreciated,
asked by mysterychicken on March 20, 2009 
maths
In a class 20 pupils like science, 13 pupils like history,8 pupils like both subjects and 9 pupilz do no not like either subject..use a Venn diagram to find how many pupils were in the class.....?? Help me
asked by Tiyamike on August 15, 2016 
Math
Find the breakeven point for the following. Fixed cost = $20,000 Variables cost = $15 per item Price = $23 The breakeven point is at  items.
asked by laura Help me please on September 23, 2017 
Absolute Extrema
Find the minimum and maximum values of the function f(x)= 2/3 sin pix on the interval [1,2] (domain). I got (1.5, 2/3) as the minimum and no maximum on the interval. Is it correct? Thank you.
asked by Mary on March 9, 2013 
Physics
Can someone please help me solve this question please: In the following position as a function of time equation, find the units of the constants A, B, and C. Where x is the position and has units of L, and v is velocity, and t is time. x = Av + Bt^2 + C
asked by Sammie on February 8, 2015 
maths
a bag contains three labelled A,R,C and a box contains 4 cards 1,2,3,5. if cards are picked from the bag and from the box, find the probability of picking on A and a prime number
asked by christina on November 25, 2015 
Science
The potential energy of a system of two particles is given by u(x)=a/x2b/x. Find minimum potential energy of the system, where x is the distance of separation and a, b are positive constants.
asked by Afeera Ashfaq on December 22, 2017 
Pre Calc
If two forces of 5 lb. and 8 lb. are acting on the same point are equivalent to a single force of 10 lb., find the angle between the given forces, and the angle between the resultant and the larger force.
asked by Sarah on February 16, 2018 
Math
Find the accumulated value of quarterly deposits of three hundred dollars each immediately after the 32 deposit If the deposits earn 10% quarterly for the first five years and 12% for the last three years.
asked by Matt Borchelt on December 13, 2011 
maths
A solution whose volume is 80% liters is made up of 40% of water and 60% of alcohol,When x liters of water is added the percentage of alcohol drops to 40% Find X
asked by Eddypiller dreamer on April 18, 2017 
Physics
A paperweight, when weighed in air, has a weight of W = 7.5 N. When completely immersed in water, however, it has a weight of Win water = 4.2 N. Find the volume of the paperweight.
asked by pete on November 6, 2007 
COLLEGE CALCULUS.
Use implicit differentiation to find the equation of the tangent line to the curve xy^3+xy=5 at the point (4,1) . The equation of this tangent line can be written in the form y = mx+b where m is:? and where b is:?
asked by josie on March 2, 2012 
Trig
Find all solutions w between 0 and 360, inclusive: (a) cosw = cos(−340) (b) cosw = sin 20 (c) sinw = cos(−10) (d) sin w < − 1/2 (e) 1 < tanw
asked by sally on April 12, 2010 
Math
The length of a rectangular field is seven meters less than four times the width. The perimeter is 108 meter. Find the width and length of the field. How do I do this?
asked by Victoria on August 20, 2015 
Trig
Find all solutions w between 0 and 360, inclusive: (a) cosw = cos(−340) (b) cosw = sin20 (c) sinw = cos(−10) (d) sinw < − 1 2 (e) 1 < tanw
asked by Sally K on April 11, 2010 
Pre Calculus
Find the number of units that produces maximum revenue given by R = 900x0.1x^2, where R is the total revenue in dollars and x is the number of units sold.
asked by Amy on October 3, 2018 
algebra
A positive twodigit number is such that the product of the digits is 24.When the digits are reversed the number formed is greater than the original number by 18.Find the number.
asked by degea on August 16, 2016 
Calculus
find the derivative of f(x)=tanx4/secx I used the quotient rule and got (sec^2x4)(secx)(tanx4)(cosx)/sec^2x but I'm pretty sure that's wrong. Help. Thanks.
asked by gnozahs on June 10, 2009 
math
the first side of a triangle is 8 meters longer than the second side. the third side is 3 times the second side. the perimeter is 128 meters. find the lengths of the three sides.
asked by jack on February 4, 2010 
geomery
Triangle ABC, inscribed in a circle, has AB = 15 and BC = 25. A tangent to the circle is drawn at B, and a line through A parallel to this tangent intersects line BC at D. Find DC.
asked by Bobby on June 26, 2015 
physical
an airplane takes off at an angle of 30 to the horizontal. if the component of its velocity along the horizontal is 250 km/h , what is its actual velocity? also find the vertical component.
asked by Rayan on March 7, 2014 
English
I have to write an analysis of Arthur Millers involvement in the Movie and in the Play of the Crucible. How is Millers involvement in the Movie? I can not find any examples. Thanks
asked by Jessica on April 30, 2013 
science
Find the resultant of vectors angle A of magnitude 10units in the direction N40E and angle B of magnitude 8units in the direction S30E.
asked by KAFAYAT on April 18, 2010 
Math 6th grade
six people need to share a 48 ounce bag of popcorn and three 48 inch licorice laces. find the fraction of popcorn each gets and the fraction of licorice each gets.
asked by Alex on September 23, 2009 
algebra
a boat goes 16 Km upstream and 24 Km downstream in 6hrs.it can go 12Km upstream and 36 Km in same time.find the speed of boat in still water and speed of the stream
asked by sara on September 5, 2010 
calculus
Given the function f (x) = 3x^4 – 6x^3 + 3x^2 . Find (if any) (i) the relative maximum and relative minimum (ii) the interval(s) where f(x) is increasing and decreasing. (iii) the interval(s) where f(x) is concave up and concave down
asked by orkid on December 8, 2011 
Math (prealgebra)
the cost of apen is 3 times the cost of a pencil. the cost of 4 pencils and 3 pens is $9.75. what is the cost of a pencil? can't find a formula for this problem. help is appreciated.
asked by Larry on September 27, 2008 
math
The width of a rectangle is 2 inches shorter than the length and the perimeter is 80. Set up an equation for the perimeter involving only L, the length.Find the width as well.
asked by Bernadine on July 24, 2008 
Physics
How would i find the total time spent decelerating on a velocity time graph? would it be the parts on the graph with negative velocity like 20m/s
asked by jake on February 21, 2010 
Algebra
The function p(d)=1+d/33, gives the pressure in atmospheres (atm), at the depth d in the sea (d is in feet). Note that p(0)=1 atm, p(33)=2 and so on. Find the pressure at 40 feet? I am lost please help? Thanks!
asked by Shan on February 6, 2011 
Maths
There were some people on the bus. At the first stop 19 people got off and 17 people got in. Now there are 63 people inside the bus. How many were there at the start? We have to find THREE ways I found Two : 1) 1917 = 2 63 + 2 = 65 2). 63  17 = 46 46 +
asked by Anonymous on March 21, 2017 
math
the daily wages of a man is 60 and that of a boy is 35. if the daily wages of total 20 men and boys is 900. find the number of men.
asked by avishek on February 26, 2014 
algebra
a boat goes 16 Km upstream and 24 Km downstream in 6hrs.it can go 12Km upstream and 36 Km in same time.find the speed of boat in still water and speed of the stream
asked by sara on September 5, 2010 
chemistry
A 10g mass of krypton occupies 15.0 L at a pressure of 210 kPa. Find the volume of the krypton when the pressure is increased to 790 kPa.
asked by kayla on August 4, 2008 
Algebra
A rectangular room is 6 6 meters longer than it is wide, and its perimeter is 28 28 meters. Find the dimension of the room. The length is : meters and the width is meters.
asked by Seymour on January 27, 2016 
math
The wall height, d, of the first story is 11 feet. The center height h of the second story has not yet been determined. Find h such that the second story will have the same crosssectional area as the first story
asked by Anonymous on January 31, 2012 
chemistry
how many moles of hydroxide ions are there in 82.35 mL of a 2.164M Sr(OH)2 solution? i understand how to do the math for problems like these, but i don't know how to find the moles of just hydroxide ions.
asked by lyne on March 15, 2009 
Math
Bernadette bought two piecesof ribbon one piece is 6 1/4 feet long and the other is 11 1/4 feet long find the total length of the ribbon.
asked by Kio on October 18, 2018 
calculus
If a snowball melts so that its surface area decreases at a rate of 4 cm2/min, find the rate at which the diameter decreases when the diameter is 9 cm.
asked by John on October 15, 2011 
chemistry please
if i want to find the molarity of a solution that is: 5mL of a 3.521 x 10^5 M solution, and filled to the 50mL line with ethanol, would this be: (3.521 x 10^5)(.04L ethanol)?
asked by samantha on February 1, 2009 
math
The wall height, d, of the first story is 11 feet. The center height h of the second story has not yet been determined. Find h such that the second story will have the same crosssectional area as the first story
asked by Anonymous on January 31, 2012 
math
The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm?
asked by name on February 7, 2019 
algebra
The dimensions of a playground are 50 feet by 75 feet. You want to double its area by adding the same distance x to the length and width. Find x and the new dimensions of the playground.
asked by kim on November 2, 2012 
maths
The cost of fencing a square field at 40 paise per meter is rs 2000.find the cost of watering the field at 80 paise per 100msquare
asked by kery dezosa on November 2, 2016 
mathzzz want answer in simple way
3249 persons are sitting in a cinema hall in such a manner that there are as many persons in a row as there are rows in the hall find the number of rows
asked by cbse 8th on September 2, 2014 
PHYSICS
HOW DO U COMPUTE g USING THE EQUATION g=GM/r^2 WHEN GIVEN THE QUESTION IN THIS FORM: "COMPUTE g AT A HEIGHT OF 4 RE ABOVE THE SURFACE OF EARTH" basically how can i find the answer to a question given in this form
asked by Sarma on January 11, 2011 
algebra
The two smaller angles of a right triangle have equal measures. Find the measure of the smaller two angles, and the measure of the largest angle, in degrees.
asked by gina on October 23, 2016 
maths
alpha beta gamma are zeros of cubic polynomial x^312x^2+44x+c. if alpha beta gamma are in Ap find the value of c class 10
asked by JASLEEN on June 6, 2012 
math
lily is makin granola. she uses almonds, walnuts and pecans in the ratio 4:3:8 lily uses 40 ounces of pecans. find the weight of the walnuts
asked by mikyah on January 26, 2016 
math
Each dividend was divided by another polynomial, resulting in the given quotient and remainder. Find the divisor Divided:5x^3+x^2+3 ,quotient:5x^214x+42, remainder:123
asked by Melissa on September 28, 2012 
geometry
A triangle has a 56degree angle, formed by a 10inch side and an xinch side. Given that the area of the triangle is 18 square inches, find x.
asked by yadlay on April 11, 2010 
math
Let L1 be the line passing through the points Q1=(−2, −5, 4) and Q2=(4, −1, 2) and let L2 be the line passing through the point P1=(10, 8, −7) with direction vector →d=[1, −1, 2]T. Determine whether L1 and L2 intersect. If so, find the point of
asked by Excel on October 24, 2015 
physics
a bullet shot at 500 m/s into a block of wood of mass 0.49kg and becomes inbedded in it. if it gives the block a speed of 11 m/s, find the mass of the bullet.
asked by josh anderson on February 22, 2011 
physics
A force vector points at an angle of 51.6 above the +x axis. It has a y component of +494 newtons (N). Find (a) the magnitude and (b) the the x component of the force vector.
asked by Anonymous on November 24, 2011 
Algebra 2
What are the real and complex solutions of the polynomial equation? 27x^3 + 125 = 0 I already got the real solution x = 5/3, I just need to figure out how to find the complex solution. Any help?
asked by Harold on December 23, 2015 
Physics
In a series circuit, a generator (1400 Hz, 12.0 V) is connected to a 15.0 resistor, a 3.80ìF capacitor, and a 5.70mH inductor. Find the voltages across (a) the resistor, (b) the capacitor, and (c) the inductor.
asked by Kelli on November 12, 2011 
Math(Urgent Please help)
Find the area of the parallelogram that has the vectors as adjacent sides. u = i + 2j + 2k V = i + k I know that the magnitude of the cross product results on the area. After I do the cross product then what to I do?
asked by Abbey on April 1, 2010 
math
grant needs 2/3 cup of raisins and 3/4 cups of almonds to make trail mix. which statement can be used to find out if there are more raisins or almonds in the mix?
asked by michele on March 28, 2016 
math
of the 200 eighthgraders,70 are going on the class field trip.what percent of the eighth grade is going on the field trip A 35% B 40% C 65% d 70% i can't find the answer?
asked by need help on November 12, 2015 
math
the triangle CDE, m
asked by B8 on March 3, 2014 
algebra
The equation 5x3y=2 is a linear equation in standard form. From this equation, answer the following:a. Find the y and xintercepts b. Write this equation in slopeintercept form.
asked by Keonn'a on September 16, 2018 
COLLEGE ALGEBRA
THE PRIMETER OF SOME TRAFFIC SIGN MUST BE 78INCHES ALSO ITS LENGTH IS 7INCHES LONGER THAN ITS WIDTH FIND THE DIMENSIONS OF THE SIGN WHAT IS THE LENGTH WHAT IS THE WIDTH
asked by BARBARA on April 25, 2012 
algebra
what is the volume of a sphere with radius r is given by the formula v=4/3 r^3 Find the volume of sphere with radius 4 meters. use 3.14 for the value of x and round your answer to the nearest tenth.
asked by Angela on November 16, 2011 
Precalculus
Find two values for theta such that theta is greater than or equal to 0 but less than or equal to 2pi. 1. Tan theta=1.1071 2. Sin theta = 0.8818
asked by Anonymous on September 23, 2014 
Mathematics
The area of trapezium. If the parallel side of trapezium are 9.5cm and 12.5cm and the altitude is 11cm find the length of the side of the square
asked by Vanshika on February 24, 2017 
Precalculus
Find two values for theta such that theta is greater than or equal to 0 but less than or equal to 2pi. 1. Tan theta=1.1071 2. Sin theta = 0.8818
asked by Anonymous on September 22, 2014
Pages
 1
 2
 3
 4
 5
 6
 7
 8
 9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
 100
 101
 102
 103
 104
 105
 106
 107
 108
 109
 110
 111
 112
 113
 114
 115
 116
 117
 118
 119
 120
 121
 122
 123
 124
 125
 126
 127
 128
 129
 130
 131
 132
 133
 134
 135
 136
 137
 138
 139
 140
 141
 142
 143
 144
 145
 146
 147
 148
 149
 150
 151
 152
 153
 154
 155
 156
 157
 158
 159
 160
 161
 162
 163
 164
 165
 166
 167
 168
 169
 170
 171
 172
 173
 174
 175
 176
 177
 178
 179
 180
 181
 182
 183
 184
 185
 186
 187
 188
 189
 190
 191
 192
 193
 194
 195
 196
 197
 198
 199
 200
 201
 202
 203
 204
 205
 206
 207
 208
 209
 210
 211
 212
 213
 214
 215
 216
 217
 218
 219
 220
 221
 222
 223
 224
 225
 226
 227
 228
 229
 230
 231
 232
 233
 234
 235
 236
 237
 238
 239
 240
 241
 242
 243
 244
 245
 246
 247
 248
 249
 250
 251
 252
 253
 254
 255
 256
 257
 258
 259
 260
 261
 262
 263
 264
 265
 266
 267
 268
 269
 270
 271
 272
 273
 274
 275
 276
 277
 278
 279
 280
 281
 282
 283
 284
 285
 286
 287
 288
 289
 290
 291
 292
 293
 294
 295
 296
 297
 298
 299
 300
 301
 302
 303
 304
 305
 306
 307
 308
 309
 310
 311
 312
 313
 314
 315
 316
 317
 318
 319
 320
 321
 322
 323
 324
 325
 326
 327
 328
 329
 330
 331
 332
 333
 334
 335
 336
 337
 338
 339
 340
 341
 342
 343
 344
 345
 346
 347
 348
 349
 350
 351
 352
 353
 354
 355
 356
 357
 358
 359
 360
 361
 362
 363
 364
 365
 366
 367
 368
 369
 370
 371
 372
 373
 374
 375
 376
 377
 378
 379
 380
 381
 382
 383
 384
 385
 386
 387
 388
 389
 390
 391
 392
 393
 394
 395
 396
 397
 398
 399
 400
 401
 402
 403
 404
 405
 406
 407
 408
 409
 410
 411
 412
 413
 414
 415
 416
 417
 418
 419
 420
 421
 422
 423
 424
 425
 426
 427
 428
 429
 430
 431
 432
 433
 434
 435
 436
 437
 438
 439
 440
 441
 442
 443
 444
 445
 446
 447
 448
 449
 450
 451
 452
 453
 454
 455
 456
 457
 458
 459
 460
 461
 462
 463
 464
 465
 466
 467
 468
 469
 470
 471
 472
 473
 474
 475
 476
 477
 478
 479
 480
 481
 482
 483
 484
 485
 486
 487
 488
 489
 490
 491
 492
 493
 494
 495
 496
 497
 498
 499
 500
 501
 502
 503
 504
 505
 506
 507
 508
 509
 510
 511
 512
 513
 514
 515
 516
 517
 518
 519
 520
 521
 522
 523
 524
 525
 526
 527
 528
 529
 530
 531
 532
 533
 534
 535
 536
 537
 538
 539
 540
 541
 542
 543
 544
 545
 546
 547
 548
 549
 550
 551
 552
 553
 554
 555
 556
 557
 558
 559
 560
 561
 562
 563
 564
 565
 566
 567
 568
 569
 570
 571
 572
 573
 574
 575
 576
 577
 578
 579
 580
 581
 582
 583
 584
 585
 586
 587
 588
 589
 590
 591
 592
 593
 594
 595
 596
 597
 598
 599
 600
 601
 602
 603
 604
 605
 606
 607
 608
 609
 610
 611
 612
 613
 614
 615
 616
 617
 618
 619
 620
 621
 622
 623
 624
 625
 626
 627
 628
 629
 630
 631
 632
 633
 634
 635
 636
 637
 638
 639
 640
 641
 642
 643
 644
 645
 646
 647
 648
 649
 650
 651
 652
 653
 654
 655
 656
 657
 658
 659
 660
 661
 662
 663
 664
 665
 666
 667
 668
 669
 670
 671
 672
 673
 674
 675
 676
 677
 678
 679
 680
 681
 682
 683
 684
 685
 686
 687
 688
 689
 690
 691
 692
 693
 694
 695
 696
 697
 698
 699
 700
 701
 702
 703
 704
 705
 706
 707
 708
 709
 710
 711
 712
 713
 714
 715
 716
 717
 718
 719
 720
 721
 722
 723
 724
 725
 726
 727
 728
 729
 730
 731
 732
 733
 734
 735
 736
 737
 738
 739
 740
 741
 742
 743
 744
 745
 746
 747
 748
 749
 750
 751
 752
 753
 754
 755
 756
 757
 758
 759
 760
 761
 762
 763
 764
 765
 766
 767
 768
 769
 770
 771
 772
 773
 774
 775
 776
 777
 778
 779
 780
 781
 782
 783
 784
 785
 786
 787
 788
 789
 790
 791
 792
 793
 794
 795
 796
 797
 798
 799
 800
 801
 802
 803
 804
 805
 806
 807
 808
 809
 810
 811
 812
 813
 814
 815
 816
 817
 818
 819
 820
 821
 822
 823
 824
 825
 826
 827
 828
 829
 830
 831
 832
 833
 834
 835
 836
 837
 838
 839
 840
 841
 842
 843
 844
 845
 846
 847
 848
 849
 850
 851
 852
 853
 854
 855
 856
 857
 858
 859
 860
 861
 862
 863
 864
 865
 866
 867
 868
 869
 870
 871
 872
 873
 874
 875
 876
 877
 878
 879
 880
 881
 882
 883
 884
 885
 886
 887
 888
 889
 890
 891
 892
 893
 894
 895
 896
 897
 898
 899
 900
 901
 902
 903
 904
 905
 906
 907
 908
 909
 910
 911
 912
 913
 914
 915
 916
 917
 918
 919
 920
 921
 922
 923
 924
 925