
Math
Your school's football team scored 49 points. Your team's scored 19 points more than the opponent's scores. Write and solve an equation to find the opponent's score
asked by Izamae on September 12, 2016 
math
bob has a container with a capacity of 12 quarts. he wants to express this capacity in gallons. write a proportion to find the number of gallons of water bob's container can hold.
asked by pavleen on February 10, 2011 
physics
Two objects (41.0 and 20.8 kg) are connected by a massless string that passes over a massless, frictionless pulley. The pulley hangs from the ceiling. Find the acceleration of the objects and the tension in the string.
asked by Anonymous on October 7, 2011 
math
A rectangular solid has a base with length 6 cm and width 5 cm. If the volume of the solid is 300 cm3, find the height of the solid. [Hint: The volume of a rectangular solid is given by V = LWH.]
asked by Brenda on January 29, 2008 
Math 142 (PreCal) (Circles)
A wheel spins through 29 revolutions per minute. Find the angular velocity and the linear velocity if the radius of the wheel is 1.8 feet. w=? (rad/min) v=? (feet/min)
asked by Ray on March 31, 2016 
Maths
A sheet of paper measuring 30cm by 20cm . A strip of Wide 4cm cut from it all around. Find the área of the remaining sheet and also the área of the cut strip
asked by Anonymous on December 1, 2017 
history
For the quote "Remember the Maine" I went on a lot of websites and most of the websites said that "remember the Maine" was said by Americans. I can't seem to find what the meaning of the quote was. Did people say it when they wanted to go to war with
asked by Amy~ on August 28, 2010 
Algebra
From a group of 6 men and 4 women, a committee of 3 is to be selected at random. Find P(at least 2 women). It might be a little out of order but this is what I got. C(10,2) (10*9*8*7*6*5*4*3*2*1)/(8*7*6*5*4*3*2*1*2*1) =45 C(6,2) (6*5*4*3*2*1)/(2*1) =360
asked by Jon on March 5, 2008 
Science
I need to find out if sucrose, sucrose solution, sodium chloride, sodium chloride solution, water, vinegar, and aluminum are electrolytes and what type of bond they are but I don't know where to look.
asked by Anonymous on December 20, 2009 
physics
Silicon is doped an acceptor of 10^18/cm^3. Find the electron and hole concentration, the electron and hole mobilities, and the resistivity of this silicon material at 300 K. Is this ntype or ptype?
asked by Alex on April 10, 2011 
math
the distance between two stations is 300km. two trains start simultaneously from these stations and move towards each other ,the speed of one them is 7k/hr more than the other . if the distance between them after 2hours of their start is 34km ,find the
asked by TUHITUHI on October 7, 2012 
physics
a rock is thrown vertically down from a bridge with an initial velocity of 30m/s and strikes the water in 2.0sec. find the velocity with which the rock strikes and the height of the bridge.
asked by roger on June 20, 2014 
social studies
How did the slave trade affect the eastern shore? Also where can I find information about the Slave Trade on Maryland's Eastern shore on its economics and culture? Help is Appreciated! Thankyou
asked by Johnny on November 6, 2008 
physics
Two objects (39.0 and 21.0 kg) are connected by a massless string that passes over a massless, frictionless pulley. The pulley hangs from the ceiling. Find (a) the acceleration of the objects and (b) the tension in the string.
asked by Sally on October 3, 2012 
English
is "six inches of snow are predicted, I'd better find my boots" a run on, simple or compound sentence. I am pretty sure its not a compound because there is no coordinate conjunction but i am not sure if it is a simple or run on sentence
asked by Pencer on April 9, 2019 
Math
A certain triangle has a perimeter of 3080 mi. The shortest side measures 71 mi less than the middle side, and the longest side measures 373 mi more than the middle side. Find the lengths of the three sides.
asked by Jess on September 6, 2018 
Trigonometry
Suppose *u* is a quadrant IV angle with cos(u) = 3/5. Suppose *v* is a quadrant IV angle with cos(v) = 12/13. Find the exact value of sin(uv) I have gotten to sin120cos150  sin150cos120 but I am not sure I am correct up to that point and I don't know
asked by Lydia on April 17, 2016 
stats
2. The average age of a child in kindergarten is 66 months. The standard deviation is 4 months. If a random child is selected, find the probability that the mean age is: a) Between 64 and 68 months b) Greater than 62 months
asked by AMbe on August 4, 2012 
Stat
Of 84 adults selected randomly from one town, 62 have health insurance. Find a 90% confidence interval for the true proportion of all adults in the town who have health insurance. Please help mr solve.
asked by Billy on October 1, 2014 
math
A bacteria culture starts with 1,000 bacteria and doubles in size every 2 hours. Find an exponential model for the size of the culture as a function of time t in hours.
asked by liz on October 7, 2010 
geometry
for that some problem: A board that is 12 feet long must be cut into 2 pieces that have lengths in a ratio of 3 to 2. Find the lengths of the two pieces. arn't you solving two parts because the board was cut in two?
asked by shannon on February 27, 2011 
algebra
a tugboat goes 160 miles upstream in 20 hours. The return trip downstream takes 5 hours. Find the speed of the tugboat without a current and the speed of the current.
asked by ashley on August 19, 2012 
math
(a) Use a graph of f(x) = sqrt(2x^2+9x+5)−sqrt(2x^2+2x+1) to estimate the value of lim x→∞ f(x) to one decimal place. (b)Use a table of values of f(x) to estimate the limit to four decimal places. (c)Find the exact value of the limit.
asked by Kayla on February 11, 2015 
Math/geometry
Two angles are complementary.the second angle has 6 more than three times the measure of degrees as the first one. Find the measure of each angle using an equation. Define your variables. I didn't get what the two variables should be... And how I'd write
asked by Sonja R on April 12, 2016 
physics
Two objects (52.0 and 20.0 kg) are connected by a massless string that passes over a massless, frictionless pulley. The pulley hangs from the ceiling. Find (a) the acceleration of the objects and (b) the tension in the string.
asked by brando on July 1, 2013 
math
A bacteria culture starts with 1,000 bacteria and doubles in size every 2 hours. Find an exponential model for the size of the culture as a function of time t in hours. f(t) = 1
asked by liz on October 9, 2010 
Pre calc
Thanks in advance for any help. I need help with this whole problem. The distance s(t) between an object and its starting point is given by the antiderivative of the velocity function v(t). Find the distance between the object and its starting point after
asked by Peter on May 14, 2008 
Maths
A shopkeeper has false balance. It weighs 10% profit when buying goods and weighs 10% loss when selling goods. Find the profit and loss percent by weighing?
asked by Rabin on August 27, 2016 
Pre Calculus
Let $\bold{w} = \begin{pmatrix} 2 \\ 1 \end{pmatrix}$. There exists a $2 \times 2$ matrix $\bold{P}$ such that \[\text{proj}_{\bold{w}} \bold{v} = \bold{P} \bold{v}\] for all 2dimensional vectors $\bold{v}$. Find $\bold{P}$.
asked by Bob on September 20, 2017 
English
I have to find all the nouns and label them. Exploration is dangerous. It takes courage to sail to an unknown land. Exploration  idea Courage  idea Land  place
asked by Aveary on August 26, 2015 
Math
A walkway is formed by four semi circles. The diameter of the inner semi circles is 14 feet. The width between the outer and inner semicircles is 2 feet. Find the area of the walkway. Use 3.14 as an approximation for pi.
asked by Eiyannah on June 9, 2015 
algebra
The value of a certain twodigit number is eight times he sum of its digits. if the digits of the number are reversed the result is 45 less than the original number. find the original number. **please show both equations and work... thanks =)
asked by Bri on February 28, 2011 
calculus
A force of 10 pounds is applied to a wagon, directed at an angle of 30∘30∘. Find the component of this force pulling the wagon straight up, and the component pulling it horizontally along the ground.
asked by andre on August 14, 2016 
geometry
A segment 12" long is divided into two segments having lengths in the ratio of 2:3. Find the length of each segment. (Hint: Let 2x and 3x represent the length of the parts.) x = ? segment 1 = (2x) = ? inches segment 2 = (3x) = ? inches
asked by terri on March 9, 2011 
algebra
Marcel brought in 40 cookies to share equally with his classmates. Let t represent the number of classmates Marcel has. Which expression could be used to find the number of cookies each classmate received?
asked by kinley on December 14, 2018 
Math,algebra
ann is 20 years older than her daughter faye. three years from now she will be six times as old as her daughter. find their present ages. This is my work: ( i'm not sure if it's correct ) Now 3 yrs from now Ann A A+3 Faye 6A 6A+3 7a+21 = 6A+3 6A 6A
asked by Ellofrmdaodersyde on February 15, 2016 
algebra
A tugboat goes 180 miles upstream in 15 hours. The return trip downstream takes 10 hours. find the speed of the tugboat without a current and the speed of the current
asked by maggie on August 9, 2012 
math
"Mahpee was selling magazine subscriptions. He earned $5 plus $0.50 for each subscription he sold. If Mahpee earned $25, use the equation 25=5 + 0.50n to find the number of subscriptions n he sold." How do I figure this out??
asked by Rinoa on September 21, 2010 
mathstatistics
If the probability of an authentic laying goose is 0.83, find the probability of getting a laying goose on or before the fourht trial. I think that answer is: (0.17)(0.17)(0.17)(0.83)=.00407 *the answer needs to be rounded to three significant digits*
asked by Sherri on December 14, 2008 
math
A tugboat goes upstream 120 miles in 20 hours. The return trip downstream takes 10 hours. Find the speed of the tugboat without the current and the speed of the current.
asked by Lori on August 1, 2012 
Calculus derivative
find the slope m and an equation of the tangent line to the graph of the function f at the specified point. original: x^2/x+10 point: (3,9/13) After I found the derivative: (x+10)(2x)(x^2)(1)/((x+10))^2 How do I get the slope? Should I put 3 into the
asked by Eve on September 17, 2013 
algebra
The angle of elevation from the tip of the shadow to the top of the tree is 36°. Find the distance from the top of the tree to the tip of the shadow. Round the answer to the nearest tenth.
asked by Bob on March 30, 2015 
math
there are 30 marbles in a bag; 4 blue, 10 red,6 white, 10 yellow. You randomly draw5 marbles without replacement. Find the percent of drawing 2 red marbles and at least 2 white marbles.
asked by em on May 23, 2014 
english
Hi I have to write a paper on 2 opposing sides of tattoos. but everytime I show my teacher 2 sides I think of she keeps saying the paper is still one sided. Can someone please help me find 2 truly opposing arguements when it comes to tattoos thanks sooooo
asked by jenny on December 12, 2008 
Statistics
Suppose that 92% of all SFSU students own a cell phone. Find the probability that 7 out of 10 random selected SFSU students own a cell phone. explain how answer was arrived
asked by Mitch on February 24, 2011 
Physics
A man using 80kg garden tractor on a level surface exert a force of 50N at 65^0 to the ground. Find the vertical force of the garden tractor on the ground
asked by Eric on November 4, 2018 
Math Problem (please help)
A rectangular classroom seats 252 students. If the seats were rearranged with three more seats in each row, the classroom would have two fewer rows. Find the original number of seats in each row.
asked by Ada on September 26, 2014 
chemistry
There are exactly 60 seconds in a minute, there are exactly 60 minutes in an hour, there are exactly 24 hours in a mean solar day, and there are 365.24 solar days in a solar year. Find the number of seconds in a solar year.
asked by Mely on September 4, 2010 
Writing
Where Can i find some short current event articles? http://www.nytimes.com http://www.latimes.com http://www.pe.com http://www.time.com That is, just about any newspaper or newsmagazine. =)
asked by Bryan on February 26, 2007 
physics
write down the uncertainty in the volume of the cylinder (3.36*10^2) write down the minimum uncertainty with which the volume of the cylinder can be determined (1.79*10^2) it says to compare these values and discuss briefly. I figured out how to find
asked by Anna on February 15, 2009 
math
a basketball hoop is 120 inches above the court. a player is 62 inches tall. find the approximate distance between th top of the player's head and the basketball hoop.
asked by shron on December 10, 2012 
math
87122178=6543 65434356=2178 Can you find another set of numbers with the same pattern? Now add the results you got. ..and a similar pattern by subtracting the results.
asked by Jared on June 12, 2007 
Math
Tonia deposited a total of $174.52 into her checking account. She also withdrew a total of $186.15. Use addition to find the net change in Tonia’s checking account.
asked by Caitlin on September 25, 2011 
physics
Two objects (53.0 and 16.0 kg) are connected by a massless string that passes over a massless, frictionless pulley. The pulley hangs from the ceiling. Find (a) the acceleration of the objects and (b) the tension in the string.
asked by chidera on September 23, 2014 
algebra
Use the discriminant to find out whether this quadratic polynomial can be factored. Factor the polynomial if it is not prime. This polnomial is prime, so I cannot factor it. I just need help with the discriminant part. Thaks in advance for your help.
asked by Trina on September 3, 2010 
chemistry
There are exactly 60 seconds in a minute, there are exactly 60 minutes in an hour, there are exactly 24 hours in a mean solar day, and there are 365.24 solar days in a solar year. Find the number of seconds in a solar year.
asked by Mely on September 3, 2010 
math
Lareina understands factors, but sometimes she has trouble finding all the factors of a number. What advice would you give to help her find all the factors of a number? Demonstrate by finding all the factors of 110. I NEED HELPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!
asked by Gabby ( 5 grade) on January 31, 2012 
STATISTICS
A study has shown that among people without any preschool education, 32% were employed at age 19. If 100 people without preschool education are selected, find the probability that 40 or fewer are employed.
asked by Sonny on October 28, 2009 
Algebra
An object is dropped from a bridge. Find the distance the object has fallen when its speed reaches 132 ft/s. Use the equation v = 64d , where v is the speed in feet per second and d is the distance in feet.
asked by Irma on July 6, 2016 
math
The radius of circle is given as 2.8 cm to 2 significant figure (a) If C is the circumference of the circle, determine the limits between which C/π lies. (b) By taking π be 3.14; find to 4 significant figures the line between which the circumference lies
asked by John on February 9, 2015 
Math
Can someone tell me how to start to solve this A bag contains 4 white, 3 blue, and 5 red marbles. 1. Find the probability of choosing a red marble, then a white marble if the marbles are replaced. A. 1/12 B. 5/36 C. 5/6 D. 5/12
asked by Katie on February 27, 2019 
calculus
Find all points on the curve x^2y^2+xy=2 where the slope of tangent line is 1. This is what I got. x^2y^2+xy=2 x^2*2ydy/dx + 2x*y^2 + x*dy/dx + y =0 dy/dx(2yx^2+x)= 2xy^2y dy/dx = (2xy^2y)/(x+2yx^2) how do I finish from here? I need to know where the
asked by Riley on April 2, 2009 
Statistics
A car rental agency currently has 41 cars available, 28 of which have a GPS navigation system. Two cars are selected at random from these 41 cars. Find the probability that both of these cars have GPS navigation systems
asked by Anonymous on March 22, 2013 
physics
A cart of mass M1 = 4.00 kg and initial speed = 4.00 m/s collides head on with a second cart of mass M2 = 2.00 kg at rest. Assuming that the collision is elastic, find the speed of M2 after the collision. i keep getting 2.3 m/s what am i doing wrong?
asked by courtney on March 7, 2008 
Calculus
Find the limit lim as x approaches (pi/2) e^(tanx) I have the answer to be zero: t = tanx lim as t approaches negative infi e^t = 0 Why is tan (pi/2) approaching negative infinity is my question?
asked by NYCalc on March 23, 2011 
Precalculus
The graph of the parametric equations x=cos(t), y=sin(t) meets the graph of the parametric equations x=2+4cos(s), y=3+4sin(s), at two points. Find the slope of the line between these two points.
asked by Phil on April 9, 2016 
cocoa
Julian's shadow is 6 feet long. At the same time a 31 foot tall building casts a shadow that is 28 feet long. What proportion could be used to find Julian's height?
asked by Anonymous on May 14, 2012 
Calculus,reaction rates
A car starting at 12:00 noon travels west at a speed of 30 kph. Another car starting from the same point at 2:00 PM travels north at 45 kph. Find how fast the two are separating at 4:00 PM?
asked by @jayr on November 30, 2014 
algebra
Find all rational zeros of the polynomial function P(x)=x^4 + 2 x^3  13 x^2 + 4 x  30. Enter the rational zeros in a comma separated list. If there are none, enter "none". 3 1 2 13 4 30 3 15 6 30 1 5 2 10 0 so (x+3)(x^35x^2+2x10 so 5 1 5 2
asked by kim on June 23, 2015 
college alg
Find (a) the equation of a line that is parallel to the given line and includes the given point, and (b) the equation of a line that is perpendicular to the given line through the given point. Write both answers in slopeintercept form. y = 4x + 2, (5, 4)
asked by sunny on January 4, 2012 
physics
A bat flying in a cave emits a sound and receives its echo 0.5 s later. How far away is the cave wall? I answered this below. If you cant find it, search on bat flying in the search window above.
asked by Barry on November 5, 2006 
chemistry
Lithium iodide has a lattice energy of 7.3x10^2kj.mol and heat of hydration of 793kj.mol. Find the heat of solution for lithium iodide.
asked by Cassie on September 22, 2011 
math
Ms. Handler walks to work at an average speed of 5 kilometers per hour. If she increases her speed to 6 kilometers per hour, she will save 10 minutes. Find the distance she walks.
asked by Rob on October 12, 2015 
Maths
There are 50 students in a class of which 40 are boys and the rest are girls the average weight of the class is 44kg and the averageweight of the girls us 40kg. find the average wieght of the boys
asked by priya on March 15, 2015 
statistics
According to a college survey, 22% of all students work full time. Find the mean and standard deviation for the number of students who work full time in samples of size 16.
asked by Hannah on March 16, 2015 
calculus
A spherical snowball is placed in the sun. The snowball melts so that it's surface area decreases at a rate of 2 cm2 /min. Find the rate at which the diameter decreases when the diameter is 8 cm
asked by Jocelyn on October 24, 2014 
math, geometry
The bases of trapezoid ABCD are \overline{AB} and \overline{CD}. Let P be the intersection of diagonals \overline{AC} and \overline{BD}. If the areas of triangles ABP and CDP are 8 and 18, respectively, then find the area of trapezoid ABCD.
asked by Anonymous on April 27, 2014 
Law of Sines
In Triangle ABC, a=15cm, c=9cm, and angle C= 35 degrees. Find b and angle b. (Recall sin theta= sin (180 degreestheta). I'm not sure how to approach this.
asked by Richard on September 6, 2014 
geometry
Find the number of degrees in the measure of one of the base angles of an isosceles triangle, if the measure of the vertex angle is 36 degrees less than the sum of the measures of the base angles.
asked by lorie on January 14, 2011 
College Algebra
The equation for the total revenue earned by a company for selling widgets is p=4q. The equation for the total cost of the company for producing widgets if p=q+6. Find the breakeven quantity.
asked by Sarah on November 21, 2013 
Stiochiometry
15.8 grams of NH3 and excess O2 produces NO gas and H2O. 12.8 grams of NO gas was produced. Find the percent yield. Balanced Equation: 4 NH3 + 5 O2 > 4 NO + 6 H2O
asked by Mikey on May 15, 2011 
math
find the standard deviation for the given data. Round your answer to one more decimal place than original data. (9,7,13,24,32,45,47) I get 16.62041 but how do I round my answer to one or more decimal places? I am a little lost.
asked by Marie on November 19, 2009 
Algebra
A tugboat goes 160 miles up stream in 20 hours, return trip downstream takes 5 hours. Find speed of tugboat without the current and the speed of the current
asked by Ruth on March 6, 2013 
Math
The bearing of point Y from a point X is 048°. If Y is 115km away from point X and the bearing of point Z from Y is 120° at a distance of 75km. Find the distance between X and Z, using a scale of 1cm to represent 20km
asked by Bau on June 18, 2018 
Calc
A spherical snowball is placed in the sun. The snowball melts so that it's surface area decreases at a rate of 2 cm2 /min. Find the rate at which the diameter decreases when the diameter is 8 cm.
asked by Jocelyn on October 24, 2014 
precalculus
The question is...find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s. Then it gives the radius r of 27 inches and an arc length s of 6 inches. How do I do that?
asked by Megan on February 28, 2010 
Maths
A and B are two balloons at the same height and 1000 metre apart. O is a ground observation position. Angle AOX is 45 degree 15' and angle BOX is 10 degree and 30'. Find the height of the balloons.
asked by Shane on April 29, 2013 
Physics
A light Ray is incident at an angle of 45 degrees on one side of a glass plate of index of refraction 1.6. Find the angle at which the ray emerges from the other side of the plate
asked by Gela on August 4, 2015 
maths need help word problem
A number is made up of two digits whose sum is 9. If this number is now divided into the number made up of the same digits but in reverse order the result is sixfifths. Find the number? Step plz
asked by help on November 15, 2016 
math
calvin buys 3/5 pound of ground beef. he divides the beef into 6 equal portions. a)find the weight of 1 portion of beef. b)fin the weight of 4 portions of beef.
asked by Shohanur on February 8, 2013 
Physics
Charge A, +1 μC, is positioned at the origin of a coordinate system as shown below. Charge B, −1 μC, is fixed at x = 3 m. (a) Find the electric field on the x axis at x = 6 cm. (b) At what point on the x axis is the electric field zero?
asked by Alyssa on January 29, 2016 
MATH_URGENT
The bases of trapezoid ABCD are \overline{AB} and \overline{CD}. Let P be the intersection of diagonals \overline{AC} and \overline{BD}. If the areas of triangles ABP and CDP are 8 and 18, respectively, then find the area of trapezoid ABCD.
asked by RhUaNg on April 27, 2014 
Calculus
Assume that a demand equation is given by q=9000100p. Find the marginal revenue for the given production levels. a. 500 Units the marginal revenue at 500 units is
asked by Duane on November 1, 2014 
mathematics
the lenght of a rectangle is twice its width.If the width is reduced by 1cm and the lenght is also reduced by 2cm,the area will be 15cm(square).Find the dimensions of the original rectangle.
asked by john on October 26, 2014 
Mathhelp help help
1)when a certain polynomial is divided by x  3, the quotient is x^2+2x5 and the remainder is 3. what is the polynomial 2) Find each quotient and remainder. Assume the divisor is not equal to zero. a)(2x^2+29xx^340)/(3+x) b)(6+7x11x^22x^3)/(x+9)
asked by sarah on April 28, 2012 
English
What is the meter of the following line from “A Sybil” by Rilke? “Her age became too much to say” Im confused and cant find an answer. Iambic pentameter Iambic tetrameter Trochaic pentameter Trochaic tetrameter
asked by Anonymous on December 15, 2014 
value
A Body Is In Equilibrium When Three Forces Act On It,two Of The Forces Are F1 Of Magnitude 8n Acting Dud East And F2 Which Is 5n Acting N60degree East.Find The Magnitude And Direction Of The Third Force.
asked by value on October 8, 2016 
Statistics
If there are 6 red disks numbered 1 through 6, and 4 yellow disks numbered 7 through 10, find the probability of selecting a yellow disk given that the number selected is less than or equal to 4 or greater than or equal to 8.
asked by SHEYLAMIEL on October 16, 2016 
math
a boat took 5 hours to travel 60 km up a river, against the current. the return trip took 3 hours. find the speed of the boat in still water and the speed of the current. if possible, show your steps
asked by jacob on June 9, 2019 
Math
A box contains 3 red marbles, 6 blue marbles, and 1 white marble. The marble are selected at random, one at a time, and are not replaced. Find the probability. P(blue and red) Please help me
asked by Lisa on February 2, 2012
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