
ALGEBRA  long division
Find each solution using long division. Show your work. Show that x + 1 is NOT a factor of... 2x^3 + x^2  11x  30. Show that x  3 IS a factor of 2x^3  11x^2  11x^2 + 12x + 9.
asked by Stephanie on September 25, 2008 
math
Richard is 6 years older than Lisa, and in 5 years the sum of their ages will be twice as much as the sum of their ages 4 years ago. Find their present ages.
asked by Amanda on January 20, 2017 
math
If A and B work together,they can finish a task in 2 hours. If they do the task separately, B can finish 3 hours earlier than A can. Find the time required for B to finish the task alone.
asked by boh on July 14, 2014 
Algebra
A garden is 6 m by 10 m long. The garden is to be surrounded by a walkway that is of equal width on all sides. The perimeter around the outside of the walkway and the garden together is 60.8 m. Find the width of the walkway.
asked by Annabelle on January 25, 2017 
algebra
a ladder is leaning up against a wall. The ladder is 8 feet long and is 3 feet away from the base of the wall. find the angle the ladder makes with the wall.
asked by abby on March 11, 2012 
physics
The weight of a solid in air is four times greater than the weight of solid in water. Find its weight of which solid in water if it has relative density is 64.
asked by Jefferson on January 23, 2016 
Maths
The ratio between the slant height and perpendicular height of a cone is 5:4.The radius of the base of the cone is 6cm.How to find slant height of cone?
asked by Geethika on November 14, 2016 
Algebra
The lengths in feet of three ropes are consecutive multiples of three. If each rope were four feet shorter, the sum of their lengths would be 42 feet. Find the lengths of the three ropes.
asked by Anonymous on September 19, 2013 
geometry
ABCD is a quadrilateral with BC perpendicular to AB and DE is perpindicular to AB. If AB is 38 yard and EB equals 18 yards, BC equals 13 yards, and DE equals 15 yards. Find the area of ABCD
asked by mike on October 27, 2010 
math 209
Area of a sail. The area in square meters for a triangle is given by A(x)=x^2 +5x +6. a.) Find A(5) b) if the height of the sail is x+3 meters, then what is the length of the base of the sail when area is x^2 +5x+6m^2?
asked by trina on June 22, 2009 
math
Richard is 6 years older than Lisa, and in 5 years the sum of their ages will be twice as much as the sum of their ages 4 years ago. Find their present ages.
asked by allie on February 19, 2017 
math
In an isosceles triangle, the length of one of the equal side is four less than triple the length of the base. Find length of the base of the triangle if the perimeter of triangle is 55 cm.
asked by Equations on October 10, 2017 
8th grade
Find the number of Calories in a grapefruit and an orange. (1) An orange has 15 more Calories than a grapefruit. (2) Twenty oranges and ten grapefruit have 1800 Calories.
asked by Jacqueline on September 27, 2010 
physics
A car moves a distance of 200 km. It covers the first half of the distance at speed 40 km/h and second half of the distance by speed v. The average speed is 48 km/h. Find the value of v
asked by maihul on November 30, 2012 
math
if the ratio of interior angle of triangle are 4:11:3.Find the greater angle.* i am confused about the word greater does the question need the angle with 11 ratio or 4 ratio?
asked by kelvin on July 20, 2016 
Math
Given that sin alpha=4/sqrt65, pi/2
asked by Chelsie on June 13, 2011 
Algebra
The lengths in feet of three ropes are consecutive multiples of three. If each rope were four feet shorter, the sum of their lengths would be 42 feet. Find the lengths of the three ropes.
asked by Anonymous on September 19, 2013 
Math
The length of the hypotenuse of a right triangle is 2m more than the longer leg. The longer leg is 7m longer than the shorter leg. Find the perimeter of the triangle. ( please explain as you go)
asked by Julia on March 31, 2016 
Math
the tens digit of a two digit number is 5 more than the units digit. when reversed and added to the original number the answer is 99. find the original number
asked by Gadson on August 22, 2016 
6th grade math
the volume of a using the formula v=l,w,h. If the base f a prism is 4 inches long, 2 inches wide and the height of the prism is 8 1/2 inches, find the volume of the prism
asked by Nyan on March 8, 2017 
Algebra
the outside of a picture frame has a length which is 4 cm more than width. The area enclosed by the outside of the picture frame is 165 square cm. Find the width of the outside of the picture frame.
asked by V on September 30, 2014 
Mathematics
There are 5 girls more than boys in a class. if 2 boys joined the class the ratio of girls to boys is 5:4. find the total number of student in the class.
asked by value on October 18, 2016 
Math Complicated
Please I am desperate need of help for this symbol. What does the long square root sign mean? Like in √5 + 8 +24 = √37 The square root sign is supposed to go above 5, 8 and 24. What does that mean? Like find the square root of each number? Or…please
asked by Lucia Vendales on January 4, 2016 
Calculus
Determine whether the series is convergent or divergent. If it is convergent, find its sum. If it is divergent, enter NONE. sum from 1 to infinity of 1/e^2n. It is convergent, but I do not know how to solve for the sum.
asked by Sandy on April 3, 2014 
maths
the tens digit of a two digit number is 5 more than the units digit. when reversed and added to the original number the answer is 99. find the original number.
asked by ria on July 9, 2013 
geometry
One endpoint and the midpoint of a segment are given. Find the coordinates of the other endpoint. Show all your work. A. Endpoint: (1,9) Midpoint: (9,10) Endpoint: _______ B. Endpoint: (9,10) Midpoint: (4,8) Endpoint: ________
asked by marissa on September 11, 2014 
Maths Algebra
The number of boys👦 in a school🏢 is 334 more than the number of girls👧. If the total strength👦👧 of the school🏢 is 572,find the number of girls👧 in the school.
asked by Sakshi on August 20, 2016 
algebra
The base of a triangle is 3 inches less than twice its height If the area of the triangle is 126 square inches what equation can be used to find h the height of the triangle in inches
asked by Anonymous on December 10, 2016 
Math
In a circuit, the voltage, V, is given by the formula V = IZ, where I is the current and Z is the impedance. Both the current and impedance are represented by complex numbers. Find the voltage if current is 3 + 2i and impedance is 4  i.
asked by Anonymous on October 13, 2014 
math
The graph of a function is horizontally compressed by a factor of 5 and vertically compressed by a factor of 2 Find an equation for this compressed function in terms of the function f(x)
asked by sam on February 4, 2013 
Calculus
For the parabola given by (y – 3)^2 = 8(x + 5), find the following: (a) direction parabola opens (to the left, right, up, or down) Answer: ___________ (b) vertex Answer: ___________ (c) focus Answer: ___________
asked by Brian on March 10, 2012 
maths
A vector of magnitude 30 and direction eastwards is added with another vector of magnitude 40 and direction northwards. Find the magnitude and direction of resultant with the east.
asked by jha on June 27, 2014 
Calculus
1.Find vectors v*w if vector v = 5 vector i – 4 vector j + 4 vector k and vector w = –6 vector i + 3 vector j – 2 vector k. 2.Find vectors v*w if vector v = 3 vector i – 4 vector j  8 vector k and vector w = 2 vector i + 6 vector j + 4 vector k.
asked by batmo on August 30, 2012 
Physics
A small block with mass 'm' is placed inside an inverted cone that is rotating about a vertical axis such that the time for one revolution of the cone is 'T'. The walls of the cone make an angle 'b' with the horizontal. The coefficient of static friction
asked by Mr. Someone on January 22, 2018 
childhood ed.
A classroom activity that requires children to find their name cards at Circle Time or on the Daily Duties chart affords an opportunity for: A. the teacher to observe the child's active participation in classroom responsibilities. B. noting the child's
asked by Alley on October 17, 2008 
english
Instructions Write a poem of at least eight lines using a set meter and rhyme scheme. You may, if you wish, attempt a sonnet, a villanelle, or a ballad, but you will probably find it easier to design your own form. Quatrains ofabab, cdcd or abcb, bcdb are
asked by Courtney on June 2, 2010 
statistics
Listed below are the duration's (in hours) of a simple random sample of all flights of a space shuttle program. Find the range, variance, and standard deviation for the sample data. Is the lowest duration time unusual? Why or why not? 71, 100, 237, 199,
asked by slomo on February 13, 2015 
Biology
What is an adrenalin receptor? For a bio project at school i have to write the gene name, the # of amino acids, the # of peptides, the tissue signal, the role, the interactions, the active site/substrate, the disease/cures/inhibitors. i've googled
asked by anonymous on October 24, 2010 
differential equation
Write the model ODE and the implied initial values, and then solve the IVP to answer each of the f ollowing: [2*8=16pts] (a) A 3kg mass is attached to a spring whose constant is 6 N/m, and the entire system is submerged in a liquid which imparts a damping
asked by lopez on March 10, 2015 
statistics
In a show the rate of an adult pass is Rs. 20 more then the children pass. when a company sold 50 adult passes and 200 children passes,the amount collected is rs.2250. find the price of an adult pass?
asked by rabia on March 12, 2011 
basic geometry
The length of a rectangular picture is seven iches longer than the width. Find the length and the width if the perimeter of the picture is 62 inches. 2L+2w=62 2L+2w+7=62 4L+7 =62 4L=7+62 4L=69 4L=69/4 2L+2w=62 You are ok to here. length is 7" longer than
asked by vero on March 14, 2007 
Math,Ratio
Mrs Koh bought some tuna and sardine from a fishmonger.the ratio of the mass of tuna to the mass of sardine was 1:2.if she bought a total of 12kg of fishes,find the mass of each type of fish that she bought
asked by Da S on December 30, 2011 
Physics
At time 9 s, a car with mass 1400 kg is lo cated at and has momentum . The car’s momentum is not changing. At time 18 s, find the position of the car: ~d =
asked by NADIA on January 23, 2014 
Math
A kite string makes a 43 degree with the ground. The string is staked to a point 104 meters from a point on the ground directly below the kite. Find to the nearest meter the length of the kite string.
asked by Kiki on February 25, 2013 
statistics
In a show the rate of an adult pass is Rs. 20 more then the children pass. when a company sold 50 adult passes and 200 children passes,the amount collected is rs.2250. find the price of an adult pass?
asked by rabia on March 12, 2011 
Physics
At time 9 s, a car with mass 1400 kg is lo cated at and has momentum . The car’s momentum is not changing. At time 18 s, find the position of the car: ~d =
asked by NADIA on January 23, 2014 
Calculus
Find the specific solution of the differential equation dy/dx = 4y/x^2 with condition y(−4) = e. y equals negative 1 minus 4 divided by x
asked by nan on March 11, 2016 
Algebra
One base of trapezoid AGIE is four less than three times the other shorter base. The height of the trapezoid is one half of the shorter base. The area of the trapezoid is 210 square inches. Find the lengths of the bases and the height.
asked by Raven on September 21, 2014 
math
a rectangular swimming pool measures 20 feet by 40 feet. a walk of uniform width surrounds it. the total area of the pool and the walk is 1500 feet squared. find the width of the walk.
asked by hi on February 16, 2011 
math
Ali rode a bicycle from town A to town C through town B as follows.He rode from A to B a distance of 45 km in 3 hours and then rested for 1hr and 1/2 hr.From B he rode to C a distance of 20 km in 1hr and 1/2 hr. Find the average speed riding #Please guys
asked by kelvin on August 29, 2017 
math
Ali rode a bicycle from town A to town C through town B as follows.He rode from A to B a distance of 45 km in 3 hours and then rested for 1hr and 1/2 hr.From B he rode to C a distance of 20 km in 1hr and 1/2 hr. Find the average speed riding #Please guys
asked by kelvin on August 28, 2017 
College Algebra
Cassius drives his boat upstream for 30 minutes. It takes him 15 minutes to return downstream. His speed going upstream is two miles per hour slower than his speed going down stream. Find his upstream and downstream speed.
asked by Lauren on September 3, 2017 
Calculus
Find the limit. lim 5x/(x^225) x>5 Here is the work I have so far: lim 5x/(x^225) = lim 5x/(x5)(x+5) x>5 x>5 lim (1/x+5) = lim 1/10 x>5 x>5 I just wanted to double check with someone and see if the answer is supposed to be positive or
asked by S on January 22, 2014 
precalculus
A model airplane 50 feet above the ground is flying away from an observer. Find the angle of elevation theta of the plane as a function of the distance from the observer to the plane. What is theta when the plane is 300 feet from the observer?
asked by anonymous on April 14, 2013 
algebra
You have been put in charge of making pizza for the fundraiser. You are told to make the larger pizzas with a radius 3 less than twice the radius of the smaller pizzas. The difference in the area of the pizzas is to 24 pi. Find the radius of the smaller
asked by zainab on May 4, 2011 
Algebra 2
Flying with the wind, a small plane flew 332 mi in 2 h. Flying against the wind, the plane could fly only 318 mi in the same amount of time. Find the rate of the plane in calm air and the rate of the wind
asked by Jada on October 15, 2014 
Physics
A man observes snow falling vertically when he is at rest, but when he runs through the falling snow at a speed of 4.70 m/s, it appears to be falling at an angle of 24.0° relative to the vertical. Find the speed of the snow relative to the earth.
asked by De'Sember on February 6, 2011 
math
the population of the world in the year 1650 was about 500 millions ,and in the year 2010 was about 6756 million .assuming that the population of the world grows exponentially ,find the equation for the population P(t) in millions in the year t
asked by dlamini zanele on March 14, 2016 
PRE ALGEBRA
THE AVERAGE WEIGHT W (IN POUNDS) OF AN ATLANTIC COD AGED t YEARS CAN BE MODELED BY THE EGUATION W=1.16(1.44)^t. FIND THE RATIO OF THE WEIGHT OF A 5 YEAR OLD COD TO THE WEIGHT OF A 2 YEAR OLD COD. EXPRESS THIS RATIO AS A POWER OF 1.44!!!!!! HOW WOULD I DO
asked by Mackenzie on February 9, 2008 
Math Algebra
5. A box can hold a maximum of 60 comic books. If comic books are bundled together in groups of 8, write and solve an inequality to find the maximum number of bundles of comic books that the box can carry.
asked by Harish on January 28, 2016 
Math
1.A restaurant surveys 60 of its customers about their new menu. 48 of the customers that take the survey prefer the new menu. A.Which value is unknown in this problem: the part, percent, or whole? B.Write and solve the proportion to find the percent of
asked by Francis on April 16, 2015 
College Algebra
Cassius drives his boat upstream for 30 minutes. It takes him 15 minutes to return downstream. His speed going upstream is two miles per hour slower than his speed going down stream. Find his upstream and downstream speed.
asked by Anonymous on September 2, 2017 
physics
A boy of mass 54.3 kg is initially on a skateboard of mass 2.00 kg, moving at a speed of 10.4 m/s. The boy falls off the skateboard, and his center of mass moves forward at a speed of 10.9 m/s. Find the final velocity of the skateboard. magnitude
asked by Anonymous on February 23, 2011 
Math
In middle school computer club, 3/8 of the members are girls. Of the girls in the club, 2/5 are 6thgraders. Write and solve an equation to find the fraction of the members of the club that are 6thgrade girls.
asked by Jaden on March 29, 2016 
Math.
A spinner is divided into 8 equal sections. There are 3 yellow sections and 5 green sections. The spinner is spun 32 times. Which proportion can be used to find the number of times, B, that the spinner could be expected to land on a green section?
asked by Kelly on August 23, 2012 
Calculus
I have a project and part of it has to do with revenue, demand and profit. I know that Revenue=price x quantity but can profit equal price x quantity demanded? I have both written down and I am getting confused because I was supposed to find the profit but
asked by Dan on October 14, 2007 
math
Minni travels to Italy. She changes 550 GBP to euros at an exchange rate of 1 GBP = 1.18 euros. The bank charges commission and then gives Minni 629 euros. Find the amout of the commission in GBP. Thank you so much:))
asked by Lucas on September 8, 2013 
physics
A boy of mass 54.3 kg is initially on a skateboard of mass 2.00 kg, moving at a speed of 10.4 m/s. The boy falls off the skateboard, and his center of mass moves forward at a speed of 10.9 m/s. Find the final velocity of the skateboard. magnitude
asked by Anonymous on February 23, 2011 
data management gr.12
It is known that approximately 20% of the population is colour blind. In a sample of 270 people, use the normal approximation to find the probability that: a)at least 100 people are color blind b)exact 100 people are color blind Thanks.
asked by Anonymous on December 21, 2016 
Math
f(x)=x644x^2+k. Find the values of k so thath the zeros of f satisfy the specified charachteristics. a.four real zeros b.two real zeros, each of multiplicity of two c.two real zeros and two complex zeros d.four complez zeros a.I don't know if this range
asked by Anonymous on January 19, 2015 
physics
A boy of mass 54.3 kg is initially on a skateboard of mass 2.00 kg, moving at a speed of 10.4 m/s. The boy falls off the skateboard, and his center of mass moves forward at a speed of 10.9 m/s. Find the final velocity of the skateboard. magnitude
asked by Anonymous on February 23, 2011 
physics please help :)
a.the gravitational force between 2 electrons 1.00m apart is 5.42x10^71 N. Find the mass of an electron. b.2 spherical balls are placed so their centres are 2.6m apart. The force between the balls is 2.75x10^12N. What is the mass of each ball if one ball
asked by Anonymous on December 8, 2009 
Algebra II
A runner completes a 16 mile trip, running 8 miles uphill and 8 miles downhill in a total of 4 hours, if his uphill speed is 3 mph slower than his downhill speed, find his downhill speed.
asked by John on November 15, 2012 
History
Europeans were drawn in to subSaharan Africa in their quest for? a. gold and diamonds. b. diamonds and slaves. c. gold and slaves. d. slaves only. I can't find the correct answer. Please help! I believed it was gold and slave but it is not an option....
asked by J on December 14, 2013 
slope(algebra 1)
i know that slope is rise over run, but how do i find the slope of a line with data points with a positive correlation that vary on the line? because there are points that the line doesn't go through. the data points represent number of heartbeats per
asked by amanda on November 2, 2008 
PHYSICS
After 6.00 kg of water at 80.4 oC is mixed in a perfect thermos with 3.00 kg of ice at 0.0 oC, the mixture is allowed to reach equilibrium. When heat is added to or removed from a solid or liquid of mass m and specific heat capacity c, the change in
asked by HELP on December 1, 2012 
Calculus
I need help setting up the equation. The portion of the graph y = ex between x = 0 and x = ln 3 is rotated around the y axis to form a container. The container is filled with water. Use n = 4 subintervals and midpoints to approximate the work required to
asked by Kay on July 22, 2011 
physics
I neeeeeeeeeed helppp pronto, Measurements show that a honeybee in active flight can acquire an electrostatic charge as great as 93.0 pC a. how many electrons must be transferred to produce this charge? b.suppose 2 bees, each with a charge of 93.0pC, are
asked by natash on September 10, 2007 
Physics PLEASE HELP
After 6.00 kg of water at 77.3 oC is mixed in a perfect thermos with 3.00 kg of ice at 0.0 oC, the mixture is allowed to reach equilibrium. When heat is added to or removed from a solid or liquid of mass m and specific heat capacity c, the change in
asked by Anonymous on November 10, 2012 
Physics
I'm having trouble finding the speed to the problem. My book isn't helping much either. A golfer hits a shot to a green that is elevated 2.50 m above the point where the ball is struck. The ball leaves the club at a speed of 18.7 m/s at an angle of 51.0˚
asked by Carissa on February 17, 2015 
Statistics
An April 15, 2002 report in Time Magazine stated that the average age for women to marry in the United States is now 25.9 years of age. If the standard deviation is assumed to be 4.3 years, find the probability that a random sample of 32 U.S. women would
asked by Casey on October 7, 2013 
physics
After 6.00 kg of water at 80.4 oC is mixed in a perfect thermos with 3.00 kg of ice at 0.0 oC, the mixture is allowed to reach equilibrium. When heat is added to or removed from a solid or liquid of mass m and specific heat capacity c, the change in
asked by angie on December 1, 2012 
physics
After 6.00 kg of water at 80.4 oC is mixed in a perfect thermos with 3.00 kg of ice at 0.0 oC, the mixture is allowed to reach equilibrium. When heat is added to or removed from a solid or liquid of mass m and specific heat capacity c, the change in
asked by g on December 1, 2012 
Precalculus Trig (Geometry)
A large doorway has the shape of a parabolic arch. The doorway is 20 feet high at the top of the arch and 20 feet wide at the base. At a height of 10 feet above the floor, find the width of the arch. If you start the vertex of the parabola at 0,0, that
asked by Michele on April 19, 2015 
statistics
An April 15, 2002 report in Time Magazine stated that the average age for women to marry in the United States is now 24.9 years of age. If the standard deviation is assumed to be 4.9 years, find the probability that a random sample of 33 U.S. women would
asked by jilla on July 7, 2012 
English
Be sure to bring your skates in before the rain starts. 2.The boy clasped the money tightly in his hand. 3.What do you think you'd find over the rainbow? 4.High above the mountain, the hawks wheeled in lazy circles. 5.A fire blazed inside, welcoming the
asked by Hayley on October 27, 2010 
STATISTICS
An April 15, 2002 report in Time Magazine stated that the average age for women to marry in the United States is now 24.9 years of age. If the standard deviation is assumed to be 4.9 years, find the probability that a random sample of 33 U.S. women would
asked by judy( Help needed ,Please!? on July 7, 2012 
math:^]
A lawn mower is pushed a distance of 100 ft. along a horizontal path by a constant force of 60 lbs. The handle of the lawn mower is held at a downward angle of 45 degrees toward the horizontal. Explain what each value listed in this situation represents in
asked by mynameisundefined on May 25, 2018 
Physics
Right now in physics we are learning about electric potential energy and electric potential. My question is: P and Q are points within a uniform electric field that are separated by a distance of 0.1 m. The potential difference between P and Q is 50 V. How
asked by Jeff on January 9, 2015 
statistics
An April 15, 2002 report in Time Magazine stated that the average age for women to marry in the United States is now 24.9 years of age. If the standard deviation is assumed to be 4.9 years, find the probability that a random sample of 33 U.S. women would
asked by jennifer on July 7, 2012 
statistics
An April 15, 2002 report in Time Magazine stated that the average age for women to marry in the United States is now 25.1 years of age. If the standard deviation is assumed to be 4.6 years, find the probability that a random sample of 34 U.S. women would
asked by Kay on March 5, 2013 
statistics
An April 15, 2002 report in Time Magazine stated that the average age for women to marry in the United States is now 25.6 years of age. If the standard deviation is assumed to be 4.1 years, find the probability that a random sample of 30 U.S. women would
asked by statistics student on October 4, 2013 
Calculus
1. The graph of f ′′(x) is continuous and decreasing with an xintercept at x = –3. Which of the following statements must be true? A. The graph of f is always concave down. B. The graph of f has an inflection point at x = –3. C. The graph of f has
asked by Justin on July 31, 2019 
math
I am supposed to find the area of a segment of a circle. The circle is cut with two radi with an angle of 90 degrees. Then where the radi touch the circle another line is drawn to connect them. The triangle and the small section between the triangle and
asked by Ed on May 4, 2013 
math
I am supposed to find the area of a segment of a circle. The circle is cut with two radi with an angle of 90 degrees. Then where the radi touch the circle another line is drawn to connect them. The triangle and the small section between the triangle and
asked by Hannah on May 5, 2013 
Math (Geometry)
"The graph shows types of trash in a typical American city. Find the measure of each central angle to the nearest whole number." (I do not want all the answers, I just want to know HOW to get them so I will only post the first three problems that
asked by Robert on February 21, 2008 
Physics
21) A 46 kg skater is standing still in front of a wall. By pushing against the wall she propels herself backward with a velocity of – 1.2 m /s. Her hands are in contact with the wall for 0.8 s. Ignore friction and wind resistance • Find the magnitude
asked by Bill on December 4, 2012 
science
Bacteria are invisible to humans except under a microscope. Which evidence did Pasteur use to show that bacteria were the cause of soured wine? A. Heated wine did not sour B. Capped wine did not sour C. Filtered wine did not sour D. Chilled wine did not
asked by PLZZ Help on January 26, 2015 
Calculus
Can someone look over my work and tell me if my steps look correct? I'm trying to correct some problems that looked wrong. Instructions: Find the total areas between the given curves. 1. x= (y^3) and x=(y^2) on the interval [0,1] (integral from 0 to 1 of)
asked by Jenna on September 10, 2009 
pyshics
A small rock moves in water, and the force exerted on it by the water is given by the equation Fd = kv, where k is a constant. The terminal speed of the rock is measured and found to be 2.0m/s. The rock is projected upward at an initial speed of 6.0m/s.
asked by Timothy on October 19, 2011
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