
Physics
A long jumper approaches his takeoff board A with a horizontal velocity of 30ft/s. Find the vertical component (vy) of the velocity of his center of gravity at takeoff for him to make the jump if he lands at a spot 22ft from point A. What is the vertical
asked by Fred on October 4, 2009 
Physics
Consider a modified Atwood machine, with a mass sitting on an inclined plane connected by a string which stretches over a pulley connected to a hanging mass. Friction is ignored. Draw a free body diagram for both blocks. Apply Newton's second law to both
asked by carolyn on February 3, 2015 
geometry
A segment that is a units long makes a Cdegree angle with a segment that is b units long. In terms of a, b, and C, find the third side of the triangle defined by this SAS description. You have done numerical versions of this question. Start by finding the
asked by sally on April 11, 2010 
physics
find the location of the center of mass of the following 3 mass system. mass location m1=1.0kg (0,0) m2=2.0kg (1.0m,1.0m) m3=3.0kg (2.0m,2.0m)
asked by WyeCee Bhitoo on September 27, 2017 
geometry
if the measure of angle A = 70 degrees & the measure of angle B = 25 degrees, find the measure for angle C in the traingle of ABC
asked by Joe on January 12, 2011 
math
find the equation of a line that is parallel to the line x= 1 and contains the point (7,5) the equation of the parallel line is ? *type an equation*
asked by anonymous on January 1, 2013 
algebra
The length of a rectangle is 4 in. more than twice its width. If the perimeter of the rectangle is 32 in., find the width of the rectangle let x = width length is then 2x+4 so 2(2x+4)+2x=32 Solve for x 4x + 8 +2x = 32 6x=24 x=4 thanks
asked by veronica on June 5, 2007 
math
show that the triangle with verticies A(8,5) B(1,2) C(3,2) is a right triangle, and find its area. the answer to the area is : 28. please show me how to show its a right triangle, thanks!
asked by alex on August 13, 2012 
Math
1.find x and y if 3 raise to the power 2xy equals 1 and 16 raise to the power x divided by 4 equals 8 raise to the power 3xy 2. solve 2x3y 2=x 2y5=3x y?
asked by poppy on April 29, 2019 
geometry
If the slope of a line is 5/3 and a point on the line is (57,12) using the given point and the slope find the coordinates of the lattice point on the line?
asked by sue on September 13, 2011 
Math
1)The sum of a number and 17 more than twice the same number is 101. Find the number. 17+2n=101 1717 10117 2n=84 n=42(answer) 2)Evaluate: 5/a+5b/ if a=12 and b=2. 5/12+5(2)/ 5/12+10/ 5/2/ 52 3(answer)
asked by Jon on February 24, 2008 
math
If alfa and bita are the zeroes of x square plus px plus of then find the value of alfa divids bita plus 2 whole bita divids alfa plus 2?
asked by Dwithun Basumatary on June 26, 2013 
Math
Find how many quarts of 4% butterfat milk and 1% butterfat milk should be mixed to yield 90 quarts of 2 % butterfat milk.
asked by Ryan on January 6, 2013 
geometry
Find m
asked by Sharon on October 10, 2010 
math
A rectangular box open at the top has a square base. The internal side of the base is x cm long and the total internal surface area of the box is 432cm2. Express in terms of x. (i) the internal height h, of the box; (ii) the internal volume V, of the box.
asked by kd on October 31, 2018 
Algebra
Is this right? Examine the rise in gasoline prices from 1997 to 2006. The price of regular unleaded gasoline price in January 1997 was $1.26 and in January 2006 was $2.31 (Bureau of Labor Statistics, 2006). Use the coordinates (1997, 1.26) and (2006, 2.31)
asked by A.W. on March 1, 2009 
Algebra
Is this right? Examine the rise in gasoline prices from 1997 to 2006. The price of regular unleaded gasoline price in January 1997 was $1.26 and in January 2006 was $2.31 (Bureau of Labor Statistics, 2006). Use the coordinates (1997, 1.26) and (2006, 2.31)
asked by A.W. on March 1, 2009 
math
In 1920 the record for a certain race was 46.6 sec. In 1950 it was 46.0 sec. let r(t)= the record in the race and t= the number of years since 1920. (a) find a linear function that fits the data r(t)= (round to the nearest hundredth) (b)use the function in
asked by billy on November 2, 2008 
statistics
The tires are also tested for failure during a road test where they are subjected to road hazards. A test of 600 tires resulted in the failure of 30 tires. a) Find a 95% confidence interval on the proportion of failures for the new formula of of rubber. b)
asked by ree on December 16, 2012 
algebra
A family has a coin jar that is now full. The children count the change and calculate the total value to be $29.42. Let Q represent the number of quarters and use the information below to find the number of each coin. There are: 138 more dimes than
asked by Anonymous on April 11, 2016 
mathematics
The given is, segment HE=2x segment OR=x+5.And find: segment HE.
asked by jona may on November 10, 2014 
calculus
If lim(f+g)=1 as x>a and lim(fg)=1 as x>a find lim fg as x>a
asked by Marina on September 18, 2013 
math
If cos A=3/5,cos B =4/5,find the value of cos(AB)/2
asked by eku on June 12, 2016 
math
Find value of x for log1/2(x1)+log1/2(x+1)log1/√2(7x)=1
asked by prashik on July 22, 2016 
math algebra
if f(x) = x+1/x^29 and g(x) = x/x3, find a) the domain of f(x) b) the domain of g(x) c) (f+g) (x) d) the domain of (f+g) (x)
asked by rita on November 19, 2016 
trig
If tan(A+B) = 2 and tan B =1/3, find tan A
asked by Rick on February 28, 2008 
Math
if (a+b)squared=64, and ab=3, find a squared+ b squared
asked by Rhonda on March 31, 2011 
help me math
find 25% of 300 300 * 0.25 = 75 75 is 25% of 300.
asked by halida on March 5, 2007 
Calculus
If lim x→0 f(x)=3 and lim x→0 g(x)=1, then find lim x→0 (f(x)+g(x))^2 a) 40 b) 4 c) 16 d) 28
asked by Alice on December 3, 2018 
Math
Find the value of whole root of 6+root 6+root 6+....... .
asked by Aakash on June 27, 2018 
maths
if 5+root 3 ÷ 5root 3 = a+b root 3 find the value of a and b
asked by Aasher on June 24, 2016 
maths
X having factor 2 and 30.30 having factor 3 and y and y is having factor 5 and z find x+y+z=
asked by sanjay on January 30, 2015 
math algebra
if f(x) = x+1/x^29 and g(x) =x/x3, find a) domain of f(x) b) domain of g (x) c) (f+g) (x) d) the domain of (f+g) (x)
asked by laura on November 19, 2016 
Statistics and Probability
The TriState Pick 3 lottery game offers a choice of several bets. You choosea threedigit number. The lottery commision announces the winning threedigit number, chosen at random, at the end of each day. The "box" pays $83.33 if the number you choose has
asked by Laura on December 13, 2010 
physics
Two horizontal turntables are in contact with each other at their outer edges, and the static friction between them allows them to turn together (in opposite directions) without slipping. Thelarger turntable has a radius of 0.36m, and the smaller turntable
asked by ChrismB on May 16, 2016 
Calc
I need help finding the correct formula after finding the doubling time and continuous percentage. I got the doubling time of 24 days and the continuous percentage of 2.89%. Homework asking use the doubling time to find the continuous percent growth rate
asked by Larry on October 3, 2014 
microeconomics
You are given the following information about the costs of a perfectly competitive firm. QuantityTFC TVC 0 45 0 1 45 20 2 45 35 3 45 45 4 45 75 5 45 120 6 45 180 You are hired to determine the profitmaximizing quantity of the firm for different market
asked by Kathy on October 30, 2011 
PHYSICS
A block of mass m = 0.889 kg is fastened to an unstrained horizontal spring whose spring constant is k = 89.4 N/m. The block is given a displacement of +0.128 m, where the + sign indicates that the displacement is along the +x axis, and then released from
asked by Anonymous on November 17, 2015 
phyics
A block of mass m = 0.510 kg is fastened to an unstrained horizontal spring whose spring constant is k = 85.3 N/m. The block is given a displacement of +0.112 m, where the + sign indicates that the displacement is along the +x axis, and then released from
asked by MATT on November 12, 2013 
Physics
A 0.500 kg bead slides on a straight frictionless wire with a velocity of 1.50 cm/s to the right. The bead collides elastically with a larger 0.750 kg bead initially at rest. After the collision, the smaller bead moves to the left with a velocity of 0.70
asked by Wendell on January 7, 2015 
Arithmetic progression
In a class test some of the answers obtained by Neha in mathematics and science is 28 had she got 3 more in maths is 4 marks class in Science the product of marks in obtained in 2 subjects would have been 180. find the marks obtained is 2 subjects
asked by Smeta on January 14, 2017 
calc
standard equations of circles that have centers on line 5x2y=21 and are tangent to both axis. Any ideas?? First express the line as in point slope form y=(5/2)x  21/2 The center must be on the line, so it is a point expressed as (x,(5/2)x  21/2) In
asked by Melba on September 26, 2006 
Physic
The concepts in this problem are similar to those in MultipleConcept Example 4, except that the force doing the work in this problem is the tension in the cable. A rescue helicopter lifts a 75.4kg person straight up by means of a cable. The person has an
asked by Lena on March 5, 2015 
calculus
Suppose that the number of bacteria in a plate of food is given by N(T)= 10T^2  40T + 200, 1
asked by Anonymous on September 23, 2014 
ap chemistry
A 4.47 g sample of a molecular compound is dissolved in 96 g of tetrachloromethane. The normal boiling point of the solution is 61.51 degrees celcius, the normal boiling point for CCl4 is 61.2 degrees celsius. The boiling point constant for CCl4 is
asked by emily on October 30, 2012 
physics
The figure below shows the speed of a person's body as he does a chinup. Assume the motion is vertical and the mass of the person's body is 73.4 kg. Determine the force exerted by the chinup bar on his body at the following times. t=0s, speed= 0cm per
asked by Amber on October 10, 2010 
physics
the number on the left is the displacement, on the right is the vector. The person travelling i order of the numbers ....not sure how to explain this because there are no instructions only a shart with the titles of the categories Steps, Displacement,
asked by Kerri on September 10, 2009 
medical staff management
i need help with the nurse midwife proctorship form: the direction are for the nurse midwife's proctorship form, list the procedures that will be reviewed by using privileges specific to the nurse midwife, that can be find at CNM's web site and in addition
asked by patricia on November 20, 2009 
Math
Someone answer all of this clearly, I don't get it at all. Suppose a ship is sailing at a rate of 35km/h parellel to a straight shoreline. The ship is 10km from shore when it passes a lighthouse at 11am. Question 6 options: a) Let k be the distance between
asked by Chris on January 27, 2016 
Intermediate Algebra Word Problem
A river's current is 4mph. A boat travels 48 miles downstream in the same time it travels 24 miles upstream. Find the speed of the boat. A) What does the variable stand for? x stands for the speed of the boat. B) Write the equation. 24/x  4 = 48/x + 4 C)
asked by Jennifer on February 11, 2009 
science
Why is the earth round? Why is the water blue? Why doesn't the water fall off the earth? the earth is not perfectly round, water is blue because particles reflect blue light. The water cycle, type that in and google it to find out for yourself. I'd give u
asked by yeri on September 20, 2006 
Math
Martin is painting his house and needs to reach a point 9 feet above the ground. He places a 10.5footlong ladder against the house so that it forms an angle of with the ground. a. Describe the triangle that is formed by the ground, the house, and the
asked by Tigerlilly on May 29, 2013 
calculus
Suppose that the number of bacteria in a plate of food is given by N(T)= 10T^2  40T + 200, 1
asked by Anonymous on September 23, 2014 
math
A group of 148 people is spending five days at a summer camp. The cook ordered 12 pounds of food for each adult and 9 pounds of food for each child. A total of 1410 pounds of food was ordered. Write a system of equations that describes this situation, and
asked by Linda on February 19, 2015 
Math
Someone answer all of this clearly, I don't get it at all. Suppose a ship is sailing at a rate of 35km/h parellel to a straight shoreline. The ship is 10km from shore when it passes a lighthouse at 11am. Question 6 options: a) Let k be the distance between
asked by Chris on January 26, 2016 
Calculus
An OPEN box has a square base and a volume of 108 cubic inches and is constructed from a tin sheet. Find the dimensions of the box, assuming a minimum amount of material is used in it's construction. HINT: the goal is to minimize the surface are of the
asked by Jennifer on May 14, 2013 
Honors PreCalculus
It is known that when a car with wheels of radius 14 in. is driven at 35 mph, the wheels turn at an approximate rate of 420 revoulutions for minute. Show how to obtain this rate of turn. If you ride a bicycle a distance of 5 miles in 15 minutes at a
asked by Anonymous on September 11, 2007 
Electrostatics
A linear charge rho L = 2.0 uC lies on the yz plane. Find the electric flux passing through the plane extending from 0 to 1.0m in the x direction and from infinity to infinity in the y direction. Alright, so the formula to use is: flux =
asked by Dan on February 28, 2008 
math...
We had to find the surface area of various rectangular prisms. I did most of them easily, but there are two that I need a little help with... The first one is: The length is 13m The width is 5m The height is 4m So what is the surface area? The second one
asked by Amy on May 7, 2007 
Physics
The concepts in this problem are similar to those in MultipleConcept Example 4, except that the force doing the work in this problem is the tension in the cable. A rescue helicopter lifts a 72.4kg person straight up by means of a cable. The person has an
asked by Randy on February 26, 2013 
History
Why did John Wilkes Booth assassinate President Lincoln? A. Booth thought Lincoln was too easy on Southerners. B. Booth had lost is a series of slavery debates with Lincoln. C. Booth was angry about the Confederate defeat. D. Booth was a Confederate
asked by Baby_Banana on March 22, 2018 
Enviormental Science ( Human Population)
I need to find the missing word. An icrease in population could result from increased birth rate, increased __________, or immigration. Increased birthrates and immigration account for an increase in population. Decreased death rates also account for an
asked by Mack on March 15, 2007 
Chemistry
I need help on these three questions. For all three of them you're supposed to write a balanced equation for each neutralization. Then, to find the concentrations of the unknown solutions if the following reactions are found to reach equivalence by
asked by Molly on June 9, 2014 
physics
The concepts in this problem are similar to those in MultipleConcept Example 4, except that the force doing the work in this problem is the tension in the cable. A rescue helicopter lifts a 85.8kg person straight up by means of a cable. The person has an
asked by Anonymous on November 4, 2013 
computer Science
18 You started your new job as a PC tech and are at a customerâ€™s house. The computer has failed to boot. The fan is running but the POST fails every time. What is the best thing to do to possibly find quickly? a. Check the electrical outlet the
asked by Steven on January 28, 2014 
AP Physics
This question had been asked for many times and I've read the solution and did it myself. Tom the cat is chasing Jerry the mouse across a table surface 1.5 m off the floor. Jerry steps out of the way at the last second, and Tom slides off the edge of the
asked by Anonymous on September 28, 2009 
Religions of the World
Find 2 websites dealing with indigenous cultures/religions.Discuss how modern civilization has impacted the spiritual lives of the indigenous people you explored. Are indigenous religions still practiced today? If so, how have the practices changed over
asked by Patricia on August 21, 2007 
sociology a 3 page paper
C Wright Mills introduces the sociological imagination as both a worldview and the prerequisite of sociological inquiry. He states that the sociological imagination connects history to biography. What does he mean by this? Additionally, explain the
asked by kay on January 31, 2012 
Probability
Daily output of Marathon's Garyville, Lousiana, refinery is normally distributed with a mean of 232,000 barrels of crude oil per day with a standard deviation of 7,000 barrels. Find the probability of producing.. a. at least 232,000 barrels b. between
asked by Janice on November 2, 2009 
math
the function b(x)=2 x5 determines how many bags of dog food needs to be purchased for an animal shelter, where x is the number of dogs at the shelter. the shelter manager uses m(b(x)) to find the amount of money to bring for the dog food purchase. the
asked by Meee on June 6, 2014 
algerbra
An employee wh produces x units per hour earns a hourly wage of y=0.75x11 ( in dollars) find the hourly wage for a employee who produces 18 units per hour. would i start by mutlipying 0.75x x18? Yes, muliply .75 times 18, Yes, muliply .75 times 18, so i
asked by patti on June 3, 2007 
math
on office equipment sales representative earns a weekly salary and commission on his sales. one week his total compensation on sales of $7000 was $700, the next week his total compensation on sales of $8000 was $740, find the weekly salary and commission
asked by dave on December 13, 2015 
Physics
A 145kg object and a 445kg object are separated by 3.90 m. (a) Find the magnitude of the net gravitational force exerted by these objects on a 34.0kg object placed midway between them. (N) (b) At what position (other than an infinitely remote one) can
asked by Jack on October 7, 2016 
Social studies, help
How did advancements during the Gupta period transform mathematics? A. They invented algebra.**** B. They created the concepts of square numbers and square roots. C. They developed a decimal system with a numeral for zero. D. They made progress in
asked by Em on November 8, 2018 
statistics
A medical board claim that the mean number of hours worked per week by surgical faculty who teach at an academic institution is more than 60 hours. A random sample of 7 surgical facility has a mean hours worked per week of 70 hours and a standard deviation
asked by Jessie on May 10, 2012 
Physics
Consider the figure above, where a rigid beam of negligible mass and 10 m long is supported by a cable attached to a spring. When NO block is hung from the beam, the length L (cablespring) is equal to 5 m. Assume that immediately after block (weight of
asked by BBell on July 18, 2018 
Trig (math)
1.) Find all solutions of the equation. Leave answers in trigonometric form. x^2 + 1  sqrt3i = 0 2.) Give the rectangular coordinates for the point. (9, 2pi/3) 3.) The rectangular coordinates of a point are given. Express the point in polar coordinates
asked by Anonymous on December 8, 2014 
english help please!!
n no fewer than three sentences, critique the following paragraph. Explain where it could be improved. Then, in your own words, rewrite the paragraph to make its writing stronger. Make sure you include a hook, supporting evidence, and a topic sentence. Use
asked by Oscar on September 11, 2015 
physics
Квадратная рамка со стороной а – 1см находится на расстоянии L – 5см в одной плоскости с прямым бесконечним проводом силы токов в проводо и
asked by lisa reid on October 18, 2011 
Moral Help
This is pretty irrelevant to subjects, but I've had a problem (no, not a math problem) that I could use some good advice on. Today I received a detention for messing around with a friend during a computer apps class. It's easy as hell, so I find it easy to
asked by John on September 18, 2007 
English  Shakespeare
I was wondering if you could help me find literary devices in this passage in "Much Ado about Nothing" by Shakespeare: BENEDICK That I neither feel how she should be loved nor know how she should be worthy, is the opinion that fire cannot melt out of me: I
asked by Aaron on December 16, 2009 
geometry:linear measure and precision
how to find examples of rulesfor this theme I'm not quite sure what information you are seeking. I need more details. However, I searched Google under the key words "linear measure rules geometry" to get these possible sources:
asked by Alma on August 23, 2006 
Physics
So I had an exam today and one of the questions is bugging me. Our professor is out of town for a few days, so we had a proctor and I still can't figure it out using my notes. It was a question about two carts and deals with momentum. Cart A is at rest
asked by Kate on July 11, 2011 
Math
I'm really stuck on these STATS questions.Can someone please help! 1. The probability of a car in a population having faulty brakes is .05. If we take a sample of 150 cars, find the standard deviation of the sampling distribution. 2. The strength of ten
asked by mysterychicken on June 20, 2013 
English
Thank you very much for your corrections. Here are two sentences for you to check. 1) Thank you for your prompt reply. How could I start and finish off my letter addressed to the principal of a high school? 2) Could you suggest to me an internet site where
asked by Henry2 on October 1, 2011 
science
1) Create an APA reference for this publication as one would find in the reference page Article Title: Truly, Madly, Depply Author: Frank DeCaro, Bill Evans, Tom Black, Rachel McGill, Ed Strong, Sue Koch, Mark Thomas, Rachel Dew, and Gary Edwards.
asked by khar123 on July 3, 2013 
Chemistry repost
Whoever you are  Please DO NOT USE TUTORS' NAMES where your name or nickname should be. ~~~~~~~~~~~~~~~~~~~~~~~~~~ as i earlier posted and , 1 day ago , i am confusesd hw we ll find freezing point......isnt it T pure solvent  T solution .. which ll be
asked by Writeacher on January 25, 2009 
Physics
So I had an exam today and one of the questions is bugging me. Our professor is out of town for a few days, so we had a proctor and I still can't figure it out using my notes. It was a question about two carts and deals with momentum. Cart A is at rest
asked by Kate on July 11, 2011 
maths
Find the sum of all 3digit positive numbers N that satisfy the condition that the digit sum of N is 3 times the digit sum of N+3. Details and assumptions The digit sum of a number is the sum of all its digits. For example, 1123 has a digit sum of
asked by rohit on March 21, 2013 
Calculus
Find the second derivative of the following function: y=log(base2)x/x² y'=[(x/ln2)2xlog(base2)x]/x^4 the derivative of x/ln2 is (ln2)^1? y"={[((ln2)^(1))(2log(base2)x/xln2)]x^44x³[(x/ln2)2xlog(base2)x]}/x^8 I tried simplifying it and I got,
asked by sh on October 31, 2010 
Principles of Management  Effective Management
Please double check my answers please! 1. a team manager is resolving the conflicts that exist among the members of his team in an organization. this is an example of: a. planning b. organizing c. leading d. controlling answer C 2. a manager at a grocery
asked by Amanda on July 10, 2012 
stats
A company that manufactures and bottles apple juice has a machine that automatically fills 16ounce bottles. There is some variation, however, in the exact amount of juice dispensed into each bottle. From a large number of observations taken over a long
asked by a on January 29, 2011 
chemistry
I am doing a project on medicinal plants. I planted red tomatoes, but I can't find any website that provides me info that it is medicinal. If you know any websites on red tomatoes that shows that it is medicinal please tell me. Oh tomatoes in my country we
asked by Ron on February 24, 2007 
english
can you proof read for me. In second part of the novel is more interesting from the first part. Alex was bored so Lao Xu told him the story about Zhou and Zhu GeLaing. It was very interesting story about Chinese history. Alex is very good to learn things
asked by anu on January 14, 2010 
Physics
An arrow is fired horizontally with a speed of 30ms1 from a height of 2m above the ground level. Model the arrow as a particle which does not experience air resistance. a)show that the time taken for the arrow to hit the ground is 0.639 seconds correct to
asked by 0ooooooooo0 on September 28, 2017 
Biology
Many species of birds are behaviorally adapted to migrate from one area to another as the seasons change. Often, this migration involves the birds flying north toward the Arctic during the summer and returning south during the winter. These birds have most
asked by Bryce on December 20, 2018 
Chemistry: please help, I am stumped
When nitroglycerin (C3H5N3O9) explodes, it decomposes into the following gases: CO2, N2, NO, and H2O. If 239g of nitroglycerin explodes, what volume will the mixture of gaseous produces occupy at 1.00 atm pressure and 2678oC? a. Write a balanced equation
asked by Suzanne on April 28, 2014 
English
1.Mom always (____) her glasses down somewhere and then can't find them. 2.No one could believe that Carol had been (___) near the dog the entire time. Use correct form of sit or set 1.sets 2.sitting 1.My grades have () a little each semester. 2.My
asked by Hayley on February 6, 2011 
physics
A pendulum consists of a small object hanging from the ceiling at the end of a string of negligible mass. The string has a length of 0.80 m. With the string hanging vertically, the object is given an initial velocity of 2.6 m/s parallel to the ground and
asked by Anonymous on October 10, 2014 
statistics
An important indicator of lung function is forced expiratory volume(FEV), which is the volume of air that a person can expire in one second. Dr. Jones plans to measure FEv in a random sample of n young women from a certain population, and to use the sample
asked by lauren on February 16, 2008
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
 926
 927
 928
 929
 930
 931
 932
 933
 934