
math
Fouryear college tuition. The average tuition at a public fouryear college was $3983 in 2001 and $5948 in 2005. Find the rate at which tuition was increasing.
asked by christine on August 15, 2011 
physics
Two resistors connected in series have an equivalent resistance of 790.6 . When they are connected in parallel, their equivalent resistance is 170.2 . Find the resistance of each resistor. (small value) (large value)
asked by Anonymous on February 20, 2012 
maths
find the roots of the equation X(square)+7x equal to 0.(b)write down the equation whose roots are 2 and 5. I will be happy to critique your thinking. Write the equation, and solve. In the second, hint: (x+2) is one factor.
asked by nikita on June 6, 2007 
college algebra
use the rational zeros theorem to find all the real zeros of the polynomial function,. use the zeros to factor f over the real numbers. f(x)=11x^3x^2+11x1 please show all work
asked by ladybug on November 19, 2012 
math geometry ITT
so i know that when you have an isosceles triangle has 2 equal sides, and the 2 angles created by those sides are also equal . if a question gives me the angle at the top ( which is 40 degrees ), how do i find the 2 equal angles at the bottom ?
asked by amanda on January 10, 2011 
Geometry
A fish tank with a rectangular base has a volume of 4,320 cubic inches the length and width of the tank are 15 inches and 12 inches .find the height in inches of the tank
asked by Sam on March 15, 2016 
Physics
A motorcycle stunt rider rides off the edge of a cliff. Just at the edge his velocity is horizontal, with magnitude of 9 m/s. Find the motorcycle's position from the edge of the cliff afyer 0.5 s. Use g = 9.8 m/s.s
asked by Bentong on March 11, 2016 
math
The Population of a town increased by 80% in 5 years. If the population is currently 18,000, find the population of this town 5 years agao. (Round to the nearest whole, if necessary). please send formula of this equation
asked by Terrance on September 3, 2007 
math
Mrs. Daniels pays $324 for a handbag and 3 pairs of shoes. The handbag costs half as much as the 3 pairs of shoes combined. find the cost of the handbag
asked by Raishon on October 23, 2012 
Math
A quiz had some 3point and some 4point questions. A perfect score was 100 points. Find out how many questions were of each type if there were a total of 31 questions on the quiz I have no clue how to start this.
asked by ConfusedStudent on December 5, 2012 
physics
A 120V motor has mechanical power output of 2.20 hp. It is 92.0% efficient in converting power that it takes in by electrical transmission into mechanical power. (a) Find the current in the motor.
asked by smita on September 5, 2013 
math
A council consists of 10 members.four are NDC,three are NPP and three are from other parties.if a committee of three is to be selected,find the probabilities following: I.one of each party. II.Two NPP and one from other parties. III.one from other parties
asked by farahan on March 26, 2016 
physical science explorations
find the net force produced by a 40 newton force and a 50 Newton force in each of the following cases 1. both forces ast in the same direction. 2. both forces act in opposite directions.
asked by john brown on August 25, 2009 
trigonometry
from a window 30ft above the ground, the angle of elevation to the top of the building across the street is 50° and the angle of depression to the base of the building is 20° find the height of the building across the street
asked by Julyn on January 16, 2017 
Geometry
Given: Right Pyramid, ABCD is a rhombus AB = 6, mBAD = 50, mSKO = 40 Segment SO is perpendicular to ABCD, Segment OK is perpendicular to segment DC Find: Volume and Surface Area of the figure
asked by John Lorenda on April 22, 2018 
Algebra
Eleven numbers with the sum 105 are written on the circle. The sum of any two consecutive numbers is not smaller than 18. Find the least possible value of N, so that each number on the circle is not greater than N, for any set of numbers.
asked by Alex on October 16, 2018 
Algebra
The lenght of one base of a trapezoid is 19 less than five times the length of the other base. If the trapezoid has a height of 18 feet and an area of 477 ft2, find the length of the longer base
asked by Sharell on August 17, 2016 
MathStatistics
Find a confidence interval for ƒÊ assuming that each sample is from a normal population. a. P x = 14, ƒÐ = 4, n = 5, 90 percent confidence b. P x = 37, ƒÐ = 5, n = 15, 99 percent confidence c. P x = 121, ƒÐ = 15, n = 25, 95 percent confidence
asked by Richard on December 6, 2011 
algbra
Graph the following equations; calculate the slope, xintercept, and yintercept, and label the intercepts on the graph. Find an equation in slopeintercept form passing through the points (6.2,18.1) and (3.4,18.1).
asked by bianca on February 28, 2011 
Exterior angle what am I doing wrong?
Find the measure of the indicated exterior angle. Exterior angle is: 1975n Two interior angles are: 5n+21 and n+11 I set it up as: 1975n=5n+21+n+11 1975n=6n+32 165=11n but this does not make sense.
asked by bart on May 16, 2010 
Algebra
A car and a bus leave at the same time from same location. The speed of the car is 7mph faster than twice the speed of the bus. After 2.5 hours they are 100 miles apart. Find the speed of each.
asked by James B on May 30, 2016 
Mathematics Algebra
Question: If the expression (x^2 + 2x +4)/(x^2  2x  4) has a value between (1/3) and 3 for all real values of x, determine the range of the expression [9.(3)^x + 6.(3)^2x + 4]/[ 9.(3)^2x  6.(3)^x +4 My thoughts on the question: I can see that if we
asked by Dulyana on May 20, 2017 
Applied Calculus
Find the absolute extrema of the function on the interval [2,3]. (Round your answers to the nearest hundredth.) Absolute Minimum ___ at x=___ Absolute Maximum ___ at x=___
asked by Jacob on April 12, 2013 
math
pq is a tower standing vertically on the horizontal ground. from a, the angle of elevation of top p of the tower is 45°. on moving 50 m. up a slope of 15°, the angle of elevation becomes 75° from b. find height of the tower
asked by Anonymous on February 25, 2017 
math
the mass of 3 dictionaries and 2 textbook is 8 kg and the mass of 3 dictionaries and 3 textbook is 9 kg. find the mass of 5 textbooks? math  Steve, Monday, September 19, 2016 at 5:17am 3d+2t = 8 3d+3t = 9 clearly, t=1 i cant understand it
asked by murtaza on September 19, 2016 
math
a boat goes 12km upstream and 40km down stream in 8 hour it go 16km upstream and 39km down stream in same time find the speed of boat in the still water and in the stream
asked by deepa on November 2, 2016 
Calculus
For these questions gyazo.com/d0950b43c16f5cf91d2db25e4d527b68 gyazo.com/47b9c66487d55f11ba22b65fc2285cf9 The link you sent had 3t^8  2t^5 as the answer to the first one, what answer choice does that match up with? Also, how do I find the answer for the
asked by Matt on February 24, 2019 
Calc.
Find the minimum cost of producing 20,000 units of a product, where x is the number of units of labor (at$48 per unit) and y is the number of units of capital (at $36 per unit). P(x,y)=100x^.6y^.4
asked by Nancy on December 9, 2010 
math
my question is Identify the percent of change as increase or a decrease. Then find the percent of change. Round to the nearest tenth of a percent, if necessary. 1/3 to 2/3. How do I figure it out? I put 33% decrease
asked by Jordan on February 16, 2017 
College Algebra
A cars value is declining exponentially. The car is currently 3 years old and has a value of 18,000. The car sold for 26,000 brand new. Find the rate at which the value of the car is decreasing. So far my equation is 18,000=26,000 (3.04)^the But I'm not
asked by Austin on April 21, 2016 
math
Zack orders a box of 80 sweaters manufactured from a factory. He needs to check the quality of 30% of the sweaters. Select all of the equations that Zack could use to find x, the number of sweaters he needs to check.
asked by Anonymous on December 16, 2016 
Linear Equation
I posted a question below but forgot to put in the equation! So sorry. The problem states: Find 2 numbers that satisfy the equation then graph it. The equation is 2y+2=0 I think one of the numbers is 1, but what could the other be or am I doing the
asked by Betty on September 13, 2007 
Physics
the distance of a planet from its sun is 19000000 miles. if there are 29400000 seconds in one orbit, find the speed of the planet in its orbit about the sun. (assume a circular orbit)
asked by S on January 18, 2016 
MATH
THE LENGTH OF A RECTANGLE IS 3M MORE THAN 2 TIMES ITS WIDTH. IF THE AREA IF THE RECTANGLE IS 99CM^2, FIND THE DIMENSIONS OF THE RECTANGLE TO THE NEAREST THOUSANDTH. If L = length and W = width, L = 2W + 3 and LW = 99 Substitute and solve for either L or W.
asked by TB on June 24, 2007 
Physics
Solve this question, the resultant of two force acting at right angle to each other on a body is ten newton. If the angle between the resultant and one of the force is sixty degree, find the force.
asked by Adeleke on October 12, 2011 
Math
A box contains 3 red marbles, 6 blue marbles, and 1 white marble. The marbles are selected at random, one at a time, and are not replaced. Find the probability. P(red and white) Please help me
asked by Lee on February 2, 2012 
probability
Consider the random variables X, Y and Z, which are given to be pairwise uncorrelated (i.e., X and Y are uncorrelated, X and Z are uncorrelated, and Y and Z are uncorrelated). Suppose that E[X]=E[Y]=E[Z]=0, E[X2]=E[Y2]=E[Z2]=1, E[X3]=E[Y3]=E[Z3]=0,
asked by JuanPro on March 28, 2014 
math 121
Henry will reject a cookie with less than 8 raisins.In the past, one out of every 100 cookies had less than 8 raisins. Find theprobability that the first cookie Henry rejects is the 5th cookie on the line.
asked by stephen on November 20, 2012 
Remy
triangle AOB is a right angled triangle....(1.5, 2)is the midpoint coordinate of AB the coordinate of B is (2.5. 0)... Find the height of point A reached by the the top of the triangle... Could you show this stepby step please?
asked by Maths URGENT on September 28, 2009 
math/physics
An electron moving through an electric field experiences an acceleration of 6.1 multiplied by 103 m/s2. (a) Find the electric force acting on the electron. (b) What is the strength of the electric field?
asked by jake on January 11, 2010 
Maths
On the horizontal plane there is a vertical tower is a vertical tower and the shadow of its is found to be 40 m longer.when sun's altitude is 30 degree than what it is 60 degree.find the height of tower.
asked by Saurav on January 16, 2012 
Remy
triangle AOB is a right angled triangle....(1.5, 2)is the midpoint coordinate of AB the coordinate of B is (2.5. 0)... Find the height of point A reached by the the top of the triangle... Could you show this stepby step please?
asked by Maths URGENT on September 28, 2009 
About work
Hello am new at this work at home but i never find any good site i can work with pls help am from nigeria send me link of good work at home that can suit me nothing is small to earn. thanks
asked by Adewale on July 25, 2011 
math
A rectangular piece of carpet is place on the floor of a rectangular room leaving a margin of 1 m around it. If the room measures 8 m by 6 m find the area of the room not covered by the carpet.
asked by bill on March 10, 2015 
Algebra
I am given a graph of a parabola and I have to write a function in at least two forms that will produce the graph. I think that I can write the factored form first since I have the two xintercepts but I don't know what the "a" is in the equation y=
asked by Holly on January 5, 2011 
Math
Zack orders a box of 80 sweaters manufactured from a factory. He needs to check the quality of 30% of the sweaters. Select all of the equations that Zack could use to find x, the number of sweaters he needs to check.
asked by Please help!!!!!!! on May 26, 2016 
math
Identify the domain and range of the following: f(x) = 4x^2, 5
asked by anonymous on August 3, 2009 
Science
A body weight 500 N in air and weight of displace water is 300N then find apparent loss in the weight of body. The upthrust on body. The volume of the body
asked by kartik on October 31, 2015 
Precalculus
The sides of an isosceles triangle are 10 cm, 10 cm, and 12 cm. A rectangle is inscribed in the triangle with one side on the triangle's base. The other two vertices of the rectangle are on the triangle's legs. Find the Maximum Area of the Rectangle.
asked by Georges on November 18, 2012 
math
Three men and three women are waiting to be interviewed for jobs. If they are all selected in random order find the probability of each event. All the women will be interviewed first. No man will be interviewed until at least two women have been
asked by Andrew on November 15, 2012 
Agebra
A 12ft. board is cut into two pieces so that one piece is 8 ft. longer than 3 times the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces
asked by Ursula on September 27, 2009 
calculus  interval of convergence
infinity of the summation n=0: ((n+2)/(10^n))*((x5)^n) .. my work so far. i used the ratio test = lim (n>infinity)  [((n+3)/(10^(n+1)))*((x5)^(n+1))] / [((n+2)/(10^n))*((x5)^n)]  .. now my question is: was it ok for me to add "+1" to "n+2" to become
asked by COFFEE on July 30, 2007 
math
I have finished all my homework but I have one problem that I cannot answer. The teacher said that no one could probably answer this. Can someone help? We have to find the next three numbers in the pattern and explain the rule for the pattern. 8, 27, 64,
asked by Michael on August 9, 2006 
physics
an object of height 5 cm is placed at a distance of 2m in front of a mirror and its image is obtained on a screen.Find the distance of screen from the mirror,nature of the mirror and its focal length.
asked by Anonymous on November 20, 2015 
trig
A pole is braced with a wire from the top of a pole to the ground. The wire is 100 feet long and makes an angle of 40° with the ground. Find the height of the pole.
asked by Anonymous on March 15, 2013 
Geometry
A square pyramid has a surface area of 175 square inches. The square base has side lengths of 5 inches. Find the slant height of the pyramid.
asked by Helen on April 6, 2016 
Algebra 2
From a 52card deck a card is drawn and then replaced. After the deck is shuffled, a second card is drawn. Find the probability of each event. a) both cards are clubs. PLEASE SHOW ALL WORK!
asked by Trisan on December 9, 2009 
norland
A vegetable pizza costs $8 and a chicken pizza costs $12. Find an inequality to determine the number of pizzas he can buy along with one vegetable pizza if he has $140 to spend.
asked by Anonymous on April 17, 2016 
Geography
Okay, I think I have the correct answer for this question. Please let me know if I am correct. Which Sea is largest? North, Mediterranean, Caspian, or South China? I find it to be the Caspian Sea at 371000 sq km. Am I correct????
asked by Reed on September 4, 2010 
Calculus
SORRY, i wrote this question wrong before ... u, v, w are UNIT VECTORS. the angle between u and v is 25 degrees and the angle between vector v and w is 35 degrees. find (v+w3v). NOTE: vector u and w are on opposite sides of vector v.
asked by kally on February 11, 2012 
Math 1
The number 2 is chosen to begin a ladder diagram to find the prime factorization of 66. What other numbers could have been used to start the ladder diagram for 66? How does starting with a different number change the diagram?
asked by Stephen on January 5, 2015 
physics
a neutron of mass 1.67*1o power of (27) is moving with a velocity 10 to the power of(6) collides with a deuteron of mass 3.34*10 to the power of (27) kg at rest .after collision if both have single particle find its velocity
asked by srikala on April 11, 2012 
math
a total of $5000 is invested at 2%, 3%, and 4%. the amount invested at 4% is equal to 2% and 3% combined together. the total interest gained for 1 year is $145. find the amount invested at each rate.
asked by vince on February 10, 2015 
Pre calc
Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = 5/13, x in Quadrant I sin(2x)? cos(2x)? tan(2x)? I honeslty just need one good example of how to do these please show all work and finalize answer
asked by Armani on April 13, 2017 
Math
The large rectangle shown, is composed of five congruent smaller rectangles, each with whole number dimensions. If the perimeter of each smaller rectangle is 20 com, find the are of the entire large rectangle in sq cm.
asked by Eric on March 17, 2016 
math help please...
1.You want to use the interval method to solve a rational inequality. Explain how to find the intervals. 2.Explain how the interval method works. 3.Explain in your own words what a reciprocal function is.
asked by steven on January 6, 2014 
Math
A bag contains 6 red marbles, 3 white marbles, and 7 blue marbles. You pick a marble without looking. Find the probability of drawing a white marble. Can someone please explain how I would work this out?
asked by Emily on May 21, 2018 
physics
Janet wants to find the spring constant of a given spring, so she hangs the spring vertically and attaches a 0.42 kg mass to the spring's other end. If the spring stretches 4.0 cm from its equilibrium position, what is the spring constant?
asked by McKenzie on February 22, 2012 
Physics
Locomotive A travels 100km/hr and locomotive B travels 140km/hr. Locomotive B starts 15 kilometers Behind locomotive A and travels on the same direction. Find the time elapsed and how far each traveled before they meet.
asked by Steph on September 26, 2012 
Math
Elisa has 50 invitations to distribute to her neighbors over three days. She distributes 12 on the first thing and, i, invitations on the second day. Which expression can best be use to find the number of invitations left to distribute on the third day
asked by Cindy on April 22, 2014 
math
Nine cards are numbered 19. what is the probability of drawing a number greater than 6 or an odd number. I know the answer is 2/3 but I don't know how you find the probability when it says "greather than 6 OR and odd number"... how do you calculate the
asked by martha on June 6, 2012 
Algebra
Hi this question was already asked but there is still no correct answer. I can't seem to solve this for x correctly...I got 128 over 55 as an answer which can't be correct. Please help me find the correct answer! Thanks The equation is: .05x.6(x+2)=.08
asked by Clare on October 12, 2011 
college algebra
a rectangular box has a volume of V(x)=x^3+13x^2+50x+56 cubic inches. The height of the box is x+7 inches. The width of the box is x+4 inches. Find the length of the box in terms of x.
asked by Missy on March 18, 2012 
@Jake
You are now banned because of your blatant cheating. Other students should take note! When we find students posting all the answers for any assignment, quiz, test, or whatever, those students will be banned from posting on this website.
asked by Writeacher on January 25, 2017 
World History
1.How did modern states emerge? 2.What challenges confronted the centralization of Muslim states during the 18th century? 3.How did the different Muslim states respond to these challenges? If you can at least tell me where to find it that would be great.
asked by Linda on March 4, 2014 
Physics
After a completely inelastic collision, two objects of the same mass and same initial speed are found to move away together at 1/5 their initial speed. Find the angle between the initial velocities of the objects.
asked by Zaira on November 14, 2013 
Math
An airplane is flying in a direction of 65 degrees at 450 mph. A wind is blowing in a direction of 20 degrees at 35 mph. Find the actual speed and direction of the plane.
asked by Jayme on November 20, 2014 
MATH
EACH LETTER IN EACH ADDITION PROBLEM STANDS FOR A NUMBER BETWEEN 0 AND 9.NO TWO LETTERS STAND FOR THE SAME NUMBER IN EACH QUESTION. FIND THE VALUE FOR EACH LETTER.FOR EACH PROBLEM, USE THE NUMBERS IN THE BOX NEXT TO THE PROBLEM. T E N (5,6,1,2,7) + O N
asked by ALEX on June 1, 2016 
sensitive probability plz help
(i):find the number of four letter words that can be formed from the letter history (ii):how many of them begin and end with a consonant (iii):how many contain the letter (Y) (iv):how many beging with (T) and end with a vowel (v):how many contain both
asked by edward on August 14, 2015 
PHYSICS!
At a certain point in a pipeline the water's speed is 4.00 m/s and the gauge pressure is 5.00 x 10^4 Pa. Find the gauge pressure at a second point in the line, 12.0 m lower than the first, if the crosssection area at the second point is twice that at the
asked by Happinessdelight on June 3, 2017 
mathematics
the perimeter of a rectangular field is 140m. if the length is increased by 15m and the breadth is decreased by 5m, the length will become 3 times the bredth. find the length and the breadth of the field.
asked by Anonymous on April 13, 2013 
Math
Mrs. Daniel pays $324 for a handbag and 3 pairs of shoes. The handbag costs half as much as the 3 pairs of shoes combined. Find the cost of the handbag.
asked by Harish on August 27, 2018 
MATH help
Find the area of the following shape. You must show all work to receive credit. Figure ABCDEF is shown. A is located at negative 2, 6. B is located at negative 5, 2. C is located at negative 2, negative 3. D
asked by flaca on October 28, 2015 
Math/Chemistry
Your friend eats 50.0g tuna steak. You find out that the tuna is 0.001% (by mass) mercury. The lethal dose of mercury is 5.5x10^3 mg of mercury. Should you take your friend to the hospital?
asked by Ray on October 11, 2016 
Math
I need to find the perimeter of a figure with two missing side lengths. The lengths I have are : 3x, 5x2, 6x5, 2x I need the two side lengths and the total perimeter. Please help I have googled and watched videos and I still don’t understand
asked by Cherie on June 9, 2019 
Math
Consider two nonnegative numbers x and y such that x + y = 12. Find the values of x and y that optimize the following quantity. xy Maximize the quantity. {x, y} = Minimize the quantity. (Order your answers from smallest to largest x, then from smallest to
asked by Meghan on April 7, 2018 
Derivatives
Find the derivatives of: 1. H(x)= sin2xcos2x The answer given is 2cos4x. My question is, how in the world did they get that!? Shouldn't the answer at least contain the sin function, either negative or positive seeing as it's the derivative of cos? Also,
asked by Daisy on October 3, 2013 
physics
Two species of singly charged positive ions of masses 20x10^27 kg and 23.4x10^27 kg enter a magnetic field at the same location with a speed of 1x10^5 m/s. If the strength of the field is .2 T, and they move perpendicularly to the field, find their
asked by Anonymous on March 15, 2008 
History
To rule his empire successfully, hammurabi instructed his own governors__________. A.To teach local rulers. B.To rule distant cities. C.To train his sons to rule. D.To cut off communication with the outside world. I think its B but I can find anything in
asked by Anonymous on October 1, 2018 
language arts
in " all together now " , Jordan uses appeals to emotion and appeals to reason to try to persuade her readers that her views are important . in a paragraph , site one example of each king of appeal in her work . then , explain whether you find jordans
asked by help please on November 2, 2016 
ISLAMIC
I refer to the verse 22:78. “And make jihad in God’s cause with true jihad. It is He who has chosen you, and has laid no hardship on you in religion; the creed of your forefather Abraham. It is He who has named you Muslims, in bygone times and in this
asked by ASMA89 on February 8, 2013 
Biology
I know it is a bit long and maybe difficult, please help me to answer these.. 1) I have pET28a with insert inside. Insert is 400 bp in size. I want to check my insert with both single digestion and double digestion. I already isolated my plasmid but i do
asked by Restriction Enzyme Digestion on March 31, 2014 
statistics
In a population of exam scores, a score of X = 48 corresponds to z = +1.00 and a score of X = 36 corresponds to z = 0.50. Find the mean and standard deviation of the population.
asked by Teresa on March 17, 2010 
calculus1
Set up the integrals that can be used to find the area of the region by integrating with respect to X and Y (the region is bounded by y=3x,y=x,y=4x) Anyone help me set up the integrals??
asked by karen on June 8, 2015 
Calc Help
Find two functions that this could be the derivative of: y'=4x+7 I have one: y=2x^2 + 7x I cant think of another one!! add a constant. Remember that you can add an arbitrary constant to any integral. The derivative will be the same.
asked by Robert on March 7, 2007 
Calculus
a square is defined by the unit vectors i(vector) and j(vector). FInd the projections of i(vector) and j(vector) on each of the diagonals of the square.
asked by Jennifer on October 15, 2012 
algebra
the permeter of a rectangle is 148 inches the length exceeds the width by 52 inches find the length and width..
asked by math on January 17, 2010 
algebra
find the slope of the line through the folling pairs of points. (5, 3) and (5,2) Since the two points are on a vertical line (how does one know that?), the slope is infinite.
asked by dee on May 19, 2007 
statistics
a machine has 0.04 probability of producing a defective item. If it produces 6 items find: a. probability none is defective b. at least one is defective c. all are defective
asked by tiffany on March 17, 2014 
math age problem
raiven is 8 years more than rolf and miguel is 2 years younger than rolf.the sum of their ages is 6o. find their ages
asked by riko on February 17, 2016
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