Tuesday
July 29, 2014

Search: A tree that is 100..

Number of results: 14,257

counting outcomes
in volleyball, you can volley, set, or spike. how many ways can your team make two plays? use tree diagram. thanks. a tree diagram would show 9 possible outcomes how to you do and count outcomes
April 9, 2007 by dillon

math
a 3ft tall boy casts a 4ft shawdow at the same time a tree casts a 72 foot shawdow using the pythagorean therem find the distance from the top of the tree to the tip of the shawdow
December 19, 2011 by carly

physics
a golfer hits a golf ball which is 30m high infront of a 20m high tree. the ball just passes over the top of the tree. what was the vertical component of the initial velocity of the ball?
April 10, 2013 by amy

PLEASE HELP ME WITH MATH! *BEGS*
Is 4a^2-a-5 factorable? If so how do you factor it? Yes it is factorable. just make a factor tree and put all of it's factors! what is the answer to 30 on a factor tree
January 23, 2007 by Judy

math
If tree is broken 18 feet from its base. The top lands 24 feet from the base. How tall is the tree?
April 22, 2014 by marcus

English
What did the emperor ask Ma Lian to paint? 1. The emperor asked Ma Liang to paint a gold tree and a boat. 2. The emperor asked him to paint a gold tree and a boat. 3. He asked Ma Liang to paint a gold tree and a boat. 4. He asked him to paint a gold tree and a boat. (Which one...
April 5, 2010 by rfvv

derivative
q=(100/p+1)^2 - 1 what is q'? use the chain rule: q' = 2(100/p+1)(-100/(p^2)) i got q' = 2(100/(p+1))(-100(p+1)^-2 =-2000/(p+1)^3
April 29, 2007 by Evan

Algebra
An object which is dropped from 100 feet above ground falls according to the formula s = -16t^2 + 100, where s is the distance from ground level at time t. Which equation is equivalent to this formula? S-100 = t^2 ------- -16 S-100 = t^2 ------ 16 s - 100 = t^2 --- -16 or S-...
April 26, 2011 by mary

college trig
From a point on the ground a person notices that a 110-ft tree on top of a hill subtends an angle of 3°. If the angle of elevation to the bottom of the tree, represented by angle A in the figure below, measures 37°, find the height h of the hill
March 26, 2010 by smith

Math Help
in probability why are tree diagrams more useful than to use tables ?? please explain to me in a paragraph so i understand completely and could you please show me an example where i would have to use the tree diagram, and why i couldnt use a table???
March 20, 2014 by Annie

physics =(
A person on a small, 7.00 meter high, hill aims a water-balloon slingshot straight at a friend hanging from a tree branch 4.00 meters above and 6.00 meters away. At the instant the water balloon is released at 7.00 m/s, the friend lets go and falls from the tree, hoping to ...
December 12, 2009 by Jordan

Math
1. A rangers tower is located 44m from a tall tree. From the top of the tower, the angle of elevation to the top of the tree is 28 degrees and the angle of depression to the base is 36 degrees. How tall is the tree? 2. An engineer determines that the angle of elevation from ...
February 6, 2014 by Tsunayoshi

grade 9 science
a student wants to estimate the population size and density of birch trees in a woodlot measuring 100 m by 100 m. On a diagram of the woodlot, she splits the area into a 10 by 10 grid and randomly selects 10 sample quadrants - (0,0), (1,4), (2,6), (3,9), (4,3), (5,5), (6,1), (...
September 10, 2012 by d

Geometry
a cat is stuck 15 feet up in a tree.to get it down,you will place a ladder 5 feet from the base of the tree.how tall must your ladder be in order to reach the cat? Round to the nearest foot
January 16, 2013 by Lessley

Geometry
A tree casts a shadow that is 70 feet long. At the same time a person is standing nearby who is 5 feet 6 inches tall and their shadpw os 60 inches long. What is the proportion and what is the height of the tree?
January 27, 2013 by Doobert

Mathematics
A tree is "x"meters high. The angle of elevation of its top from a point P on the ground is 23degrees. Form another point Q, 10meters from P and in line with P and the foot of the tree, the angle of elevation is 32degrees. Find "x". (i need a way on how to do this. thanks)
March 5, 2008 by anonymous

math
PLEASE HELP ME. 1/5 of bees flew to a cherry tree, 1/3 flew to a clover tree, and 3 times the difference of these 2 numbers buzzed over to a stand of heather. 3 flew around the hive circling and protecting the bee community. The question is, how many bees were there altogether?
August 23, 2011 by Laila

english
for vague pronouns what is correct. when the car hit a tree, it made a terrible noise or the care made a terrible noise as it crashed into a tree?
June 11, 2014 by me

physics
A child throws a snowball with horizontal velocity of 18m/s directly toward a tree, from a distance of 9.0m and a height above the ground of 1.5m. if the time interval is 0.50s, at what height above the ground will the snow ballhit the tree
July 8, 2010 by sofi

Math
A tree casts a shadow 10 feet long. A 6-ft. man casts a shadow 4 ft. long. The triangle formed by the tree and its shadow is similar to the triangle formed by the man and his shadow. How tall is the tree?
December 2, 2010 by Caitlin

math
i have a question on homework that says, "a small tree was measured at 3.67 feet tall. it can grow to 25 times that hight. what is the tallest hight the tree can be expected to reach?" i know that i have to multiply but i cant remember how to multiply decimals. ...
August 24, 2009 by bella

Physics
A 7.80-g bullet moving at 590 m/s penetrates a tree trunk to a depth of 4.8 cm. Assuming the friction force is constant, determine how much time elapses between the moment the bullet enters the tree and the moment it stops moving.
March 24, 2011 by Jay

math
A tree cast a 24 foot shadow at the same time a fence post 5 feet high cast a 4 foot shadow. How tall is the tree?
February 1, 2012 by Rue Ann

trig
a 6 foot tall man is standing near a tree on level ground .if the man shadow 4 feet long .how many feet tall is the tree?
April 29, 2012 by diamond

find my grade average
-10% of my grade *82 -20% of my grade *100% *100% *100% *100% *100% *100% *100% *100% *82% -30% of my grade none -40% of my grade *76% reply as soon as possible. thank you!!!!
April 18, 2010 by magy

math am i correct
Add thirty-eight and nine tenths, five and fifty-eight hundredths, seven, and fifteen and eight tenths. 38 9/10 + 5 58/100 + 7 + 15 3890/100 + 558/100 + 7 + 15 4448/100 + 7 + 15 44 48/100 + 7 + 15 44 24/50 + 7 + 15 44 12/25 + 7 + 15 66 12/25
July 29, 2009 by scooby91320002

Biology
In pine, both the staminate and ovulate cones occur on the same tree, but not on the same branch. The ovulate cones are usually at the top of the trees, so that pollen from their own tree will not fall onto and fertilize the eggs. Why would this be an advantage?
September 6, 2010 by Anonymous

kvb
Sam hits a golf ball with a five-iron a distance of 120 m horizontally. A tree 45 m high and 35 m in front of Sam is directly in the path of the ball. Will the ball clear the tree if the ball makes a parabolic curve and has maximum height of 80 m?
October 11, 2011 by veera

geometry
Two observers are 200 feet apart,in line with a tree containing a birds nest.The anles of elevation to the birds nest are 30 degrees and 60 degrees.How far is each observer from the base of the tree? Please help me my assigment is due tommorrow!!!!!
January 24, 2013 by ian

calculus
Suppose a tree on your land has a radius of 3 inches and increases in radius one-fourth inch a year. How many years, y, to the nearest tenth will it take for the volume of the tree to double? A. 2 years B. 3.6 years C. 6.1 years D. 6.2 years
April 14, 2012 by Anonymous

Economics
Suppose consumers spent $42 million on Christmas trees last year when the average tree cost $30 and this year spend $42 million when the average tree costs $25. Assuming nothing else changed, this data suggests that a. consumers bought the same number of Christmas trees this ...
January 19, 2010 by Rosa

Caculus
y = 500/1+75e^-.625 x = egg mass y = number of tree (thousand) The function is show the forest defoliation1. Find the percent of forest defoliation if the egg mass are 100? (Using derivative) Thank you
November 2, 2011 by alex

measurement
A tree in Melaine's yard is 35 feet tall. Melanie is 5 feet tall. The tree is how many times as tall as Helen?
January 5, 2012 by stella

Geometry
A woman is standing 48 ft away from a tree. The woman casts a shadow of 12 feet and the tree is 27 ft tall. How tall is the woman?
February 3, 2012 by Baishali

science
wat causes an apple to fall down from a tree a pulling force towards the tree or a pulling force towards the earth
November 14, 2008 by Anonymous

math
If I plant a 7 foot tall tree. The height (h) of the tree, in feet, after n years is given by the equation h + 4n + 7. In how many years will the height be 39 feet?
March 21, 2013 by Sean

Need Math Help Please
in probability why are tree diagrams more useful than to use tables ?? please explain to me in a paragraph so i understand completely and could you please show me an example where i would have to use the tree diagram, and why i couldnt use a table???
March 20, 2014 by Annie

Math check
write the decimal as a fraction or a mixed number in simplest form 2.67 2.67/1× 100/100 = 267/100 267/100 = 2 67/100?
December 4, 2013 by Gio

dgh
Two Trees are 150 m apart. From a point halfway between them, the angle of elevation of their tops is 15°and..? 15°, and 20°. a)How much taller is one tree than the other? b) Where would a person have to stand in order to have the angle of elevation to the top of each tree ...
December 17, 2011 by pooi

trig
From two points each on the opposite sides of a river,the angles of elevations of the top of an 80ft. tree are 60 degree & 30 degree.the points & the tree are in the same straight line,which is perpendicular to the river.how wide is the river?
February 17, 2011 by Sandy

maths
A tree broke from a point but did not seperate. If the point from where it broke is 7 m above the ground and its top touches the ground at the distance of 24 m from its foot, find out the total hieght of the tree before it broke.
January 11, 2010 by naina

Physics
How many years would it take the planet to orbit the sun. How do you calculate. All I have is, that the planet is 97 times farther from sun than earth or 97 Astronomical units Using Kepler's Law you find that the anser is 97^(1.5) years. You can estimate this without using a ...
December 29, 2006 by Harry

math
amy is 5 feet tall and casts a 4 foot shadow. the pine tree has an 8 foot shawdow. how tall is the pine tree
May 23, 2011 by selena

Geometry
A 3-ft vertical post casts a 24-in shadow at the same time a pine tree casts a 30-ft shadow. How tall is the pine tree?
April 3, 2012 by Cassie

Math
Will is five feet tall. He casts a 3 feet shadow at the same time that a tree casts a 9 feet shadow. Use similar triangles to find the height of the tree.
November 29, 2012 by Lillia

math
A 2 m tall person standing on the ground looks up at an angle of 34.0 o with the horizontal and sees the top of a tree and the top of a building aligned. The tree is 20 m away from the person, and the building is 51.0 m from the person
January 15, 2013 by tim

math
A 2 m tall person standing on the ground looks up at an angle of 34.0 o with the horizontal and sees the top of a tree and the top of a building aligned. The tree is 20 m away from the person, and the building is 51.0 m from the person
January 15, 2013 by tim

Physical sciences(Mechanics)
A tractor pulls a tree trunk across a horizontal piece of ground.If the force in the chain is 3000N and the chain forms an agle of 30 degrees with the ground,calculate:The forces with which the tree is pulled across the ground.
February 3, 2014 by Confidence

Physics
Jim was told by his grandfather that he buried a time capsule when he was a kid. The grandfather gave the map to Jim and asked him to find it. The map directs Jim to start from the tallest tree in the town. It says the following; "From the tree, walk 13m to the South." "Then ...
February 9, 2012 by Steph

physics!
The far point of a nearsighted person is 5.8 m from her eyes, and she wears contacts that enable her to see distant objects clearly. A tree is 18.7 m away and 1.8 m high. (a) When she looks through the contacts at the tree, what is its image distance? (b) How high is the image...
April 10, 2012 by Sarah

physics
The far point of a nearsighted person is 5.8 m from her eyes, and she wears contacts that enable her to see distant objects clearly. A tree is 18.7 m away and 1.8 m high. (a) When she looks through the contacts at the tree, what is its image distance? (b) How high is the image...
April 10, 2012 by linds

math
what is 10% of 20% of 30% pf 100? 100 * .30 = 30 30 * .20 = 6 6 * .10 = .6 I hope thats what your looking for! Are these three separate questions? 10% = 0.10 x 100 = ?? 20% = 0.20 x 100 = ?? 30% = 0.30 x 100 = ?? Remember of means times. Or is it just one question? 0.10 x 0.20...
January 29, 2007 by preston

MATHH
A tree is "x"meters high. The angle of elevation of its top from a point P on the ground is 23degrees. Form another point Q, 10meters from P and in line with P and the foot of the tree, the angle of elevation is 32degrees. Find "x". (Please don't give me the answer only.. I ...
March 5, 2008 by Nazharia

Math Word problems
A number of birds were in a tree. Half flew away. 6 more flew away, a quester of the birds remained. How many birds were originally in the tree.
January 16, 2013 by April

Math Word problems
A number of birds were in a tree. Half flew away. 6 more flew away, a quarter of the birds remained. How many birds were originally in the tree.
January 16, 2013 by April

8th grade math
if a person is 6 feet tall and casts a 9 foot shadow, how tall would the shadow of a 100 foot tall tree be?
December 4, 2011 by liz

Physics please help!
The far point of a nearsighted person is 5.8 m from her eyes, and she wears contacts that enable her to see distant objects clearly. A tree is 18.7 m away and 1.8 m high. (a) When she looks through the contacts at the tree, what is its image distance? (b) How high is the image...
April 10, 2012 by linds

math
A tree casts a shadow 8 ft long. A 6 ft man casts a shadow 4 ft long. The triangle formed by the tree and it's shadow is similar to the triangle formed by the man and his shadow. How tall is the tree?
November 2, 2010 by Anonymous

English
I have 100 dollars. I have 100 pounds. I have 100 pesos. I have 100 euros. I have 100 yen. I have 100 won. I have 100 yuan. (Are all correct? Don't we need to capitalize the first letter in each money name? What about the plural forms? Are all correct? Do we have to use '...
June 8, 2009 by John

Maths
A full binary tree of height 4 has 15 nodes The 8 nodes at the bottom of the tree are called end nodes or leaf nodes. Two distinct end nodes are uniformly chosen. The expected length of the shortest path between them can be expressed as a/b, where a and b are coprime positive ...
May 29, 2013 by HELP~

Math
Patrick plants 4 trees in his neigbor's yard. The shortest tree is 5.6 feet. The tallest tree is 11.2 feet. What is a reasonable total height of the trees that Patrick plants? A. 25ft B. 30ft C. 45ft D. 50ft
January 3, 2012 by Mica

Math
Patrick plants 4 trees in his neigbor's yard. The shortest tree is 5.6 feet. The tallest tree is 11.2 feet. What is a reasonable total height of the trees that Patrick plants? A. 25ft B. 30ft C. 45ft D. 50ft I got 33.6 so its B?
January 3, 2012 by Mica

Chemistry
Calculate the change in pH when 5.00 mL of 0.100 M HCl(aq) is added to 100.0 mL of a buffer solution that is 0.100 M in NH3(aq) and 0.100 M in NH4Cl(aq).
December 5, 2013 by Mandy

English Com
Does this sentence have a dangling modifier ? Flying over the oak tree, the farmer saw the flock of birds that had damaged his crops. Yes. It reads as if the farmer were flying over the oak tree. Do you see why? =)
November 10, 2006 by kimba

precalculus
Two people standing 30 feet apart look east at the top of a tree. The first person looks up at an angle of 78 degrees. The second person looks up at an angle of 62 degrees. How tall is the tree (to the nearest foot)?
December 6, 2009 by Annie

physics- pls help me
1. The driver of a car slams on the brakes when he sees a tree blocking the road. The car slows uniformly with acceleration -5.20 m/s2 for 4.45 s, making straight skid marks 62.5 m long ending at the tree. With what speed does the car then strike the tree? 2. A jet plane lands...
October 7, 2009 by Dora

Geometry
You have found an old parchment that describes the location of buried treasure! It states: "On Triangle Island there are only two trees, A and B, and the remains of a gallows. Start at the gallows and count the steps required to walk in a straight line to tree A. At the tree ...
February 28, 2010 by Ashley

math
Fill in the blanks y = 10x + 100 x y -20 ? -10 ? 0 ? 10 ? I don't see any blanks to fill in. Are they telling you values of y and asking you co compute x? Or vice versa? The spacing changed the format I had. the values for x are -20, -10, 0, 10 now I need to find the values ...
July 7, 2007 by Bianca

pre algebra
An area has been reforested. After 5 years , one of the tree is 2 meters tall. After six more years, the same tree is 3.2 meters tall. name 2 ordered pairs that can be used to to graph the information?
May 4, 2011 by marcus

PHYSICS
A 5.30-g lead bullet traveling at 390 m/s is stopped by a large tree. If half the kinetic energy of the bullet is transformed into internal energy and remains with the bullet while the other half is transmitted to the tree, what is the increase in temperature of the bullet?
November 26, 2012 by please help

prealgebra
At the same time that a 60-foot tall building casts a shadow that is 21.5 feet long, a nearby tree casts a shadow that is 18 feet long. Which measure is closest to the height of the tree?
August 15, 2012 by Mary

geomary
in sunlight, a vertical stick 7 ft tall casts a shadow 3 ft long. At the same time a nearby tree casts a shadow 11 ft long. How tall is the tree?Round to the nearest tenth.
March 20, 2014 by quannia

English
Which sentence is Vague pronouns 24a. When the car hit a tree, it made a terrible noise. 24b. The car made a terrible noise as it crashed into a tree.
May 13, 2009 by Marie

Trig word problem
A park ranger at point A sights a redwood tree at point B at an angle 23 degrees from a fire tower at point C, From the fire tower, the Angle between the ranger and the tree is 123 degrees. If the ranger at point A is 2.3 miles from the fire tower at point C, how far is it ...
February 24, 2008 by jonathan

Math percentages
Is this right?? 10 + 7 = 17/100 = 41.2 % 100 + 92 = 192/100 = 1.92 % 15 + 13 = 28/100 = 1.25 % 28 + 22 = 50/100 = .5%
October 18, 2013 by Toby

trig
A bird at the top of a tree looks down at a field mouse with an angle of depression of 65 degrees. If the field mouse is 30 meters from the base of the tree, find the distance from which the field mouse to the bird's eyes. Round the answer to the nearest tenth.
July 22, 2013 by Jackie

Law of cosines
A tree on a hillside casts a shadow 215 ft down the hill. If the angle of inclination of the hillside is 22 degree to the horizontal and the angle of elevation of the sun is 52 degreess, find the height of the tree. TIA sorry this is law of sines. sorry for the confusion.
March 27, 2007 by Jen

science
a bicyclist and his bike have a combined mass of 105 kg. He is traveling at 15.0 m/s along the path when he sees a fallen tree 4 m in front of him. In order to stop before hits the tree, find the boy's minimum acceleration and the minimum force that must be applied. Thank You...
December 30, 2006 by leafprincess

physics
Why is your weight not one-quarter as much when you climb to the top of a twice as tall tree? A) Because, quite simply, of Newton's law of action and reaction.B) Because parts of the tree itself gravitationally attract you.C) But it is, in accord with the inverse-square law.D...
March 4, 2012 by Christie

math
The shadow of a 5-foot tall post is 10 feet long. At the same time a tree casts a shadow that is 24 feet long. What is the height of the tree? A. 2 feet B.14 feet C. 12 feet D. There is not enough information to solve the problem
May 8, 2014 by Anonymous

Physics
A man who is 6 ft tall is standing in front of a plane mirror that is 2 ft in length. If the mirror is placed lengthwise with its bottom edge 4 ft above the floor on a wall that is 5 ft away, how much of his image (i.e. what length of himself) can the man see? (Assume that his...
May 30, 2012 by Bob

Physics
A man who is 6 ft tall is standing in front of a plane mirror that is 2 ft in length. If the mirror is placed lengthwise with its bottom edge 4 ft above the floor on a wall that is 5 ft away, how much of his image (i.e. what length of himself) can the man see? (Assume that his...
May 30, 2012 by John

Physics
A man who is 6 ft tall is standing in front of a plane mirror that is 2 ft in length. If the mirror is placed lengthwise with its bottom edge 4 ft above the floor on a wall that is 5 ft away, how much of his image (i.e. what length of himself) can the man see? (Assume that his...
May 30, 2012 by Bob

Physics
A man who is 6 ft tall is standing in front of a plane mirror that is 2 ft in length. If the mirror is placed lengthwise with its bottom edge 4 ft above the floor on a wall that is 5 ft away, how much of his image (i.e. what length of himself) can the man see? (Assume that his...
May 30, 2012 by Bob

Physics
A man who is 6 ft tall is standing in front of a plane mirror that is 2 ft in length. If the mirror is placed lengthwise with its bottom edge 4 ft above the floor on a wall that is 5 ft away, how much of his image (i.e. what length of himself) can the man see? (Assume that his...
May 31, 2012 by Bob

trig
Your search for A surveyor is trying to determine the width of a river. He forst stands at point A, directly opposite a tree at point B. He then walks 100 feet to point C. He measures the acute angle at point C to be 79 degrees. What is the width of the river?
February 2, 2014 by Tee

6th grade math
Hi.. i'm a little confused on using proprtion equations to solve percent problem. can you check the following? Is there a different way to solve? equation: is(part)/of(whatnumber)= %/100 1. What is 94% of 43? x/43 = 94/100 100x = 43*94 (cross multiply) 100x = 4042 x = 4042/100...
October 8, 2013 by Alex

math,correction
simplify: sqrt ((7)/(100)) my work: 7 = 1sqrt (7) 100= 10 sqrt (1) (1)/(10) sqrt (7) my answer: (sqrt (7))/(10) Your answer is right but your statements: 7 = 1sqrt (7) 100= 10 sqrt (1) make no sense. how can sqrt(7)=7 ? you are saying 2.6457..=7 and 10sqrt(1) = 100 ---> 10 ...
April 19, 2007 by jasmine20

English
1. On the hill an old tree stood. 2. On the hill stood an old tree. 3. On the hill, an old tree stood 4. On the hill, stood an old tree. 5. On the hill it stood. 6. On the hill stood it. (Which ones are grammatical?)
November 15, 2013 by rfvv

math
On a sunny day, a tree casts a shadow 60 feet long. At the same time, a yardstick casts a shadow 2 feet long. How tall it the tree??
April 13, 2011 by Kenzay

science
A tractor pulls a tree trunk across a horizontal piece of ground.if the force in the chain is 3000N and the chain forms an angle of 30˚ with the ground,culculate the force with which the tree I'd pulled across the ground
February 24, 2014 by refilwe

science
A scientist observes chimps putting dry leaves into a hole in the tree. The leaves come out wet and the chimps lick the water off of the leaves. The scientist reasons that there is water inside the tree. This reasoning is called what?
September 16, 2013 by Miai

Math
Early in his career, Andrew Ellicott Douglass (1867-1962) noticed a connection between climate and the growth of plants. Studying this connection, Douglass was able to develop the science of dendochronology, a method for dating events and climate variations by studying the ...
October 17, 2008 by Linnie

Math
Solve the equation: 4x^2 + 100 = 0 Here is my work: 4x^2 + 100 = 0 - 100 - 100 4x^2 =0 /4 /4 x = -5 or 5. Did I do this correctly?
February 10, 2013 by Bob

math
a man is 6ft tall and he casts a shadow of 5 ft, if a tree casts a 30ft shadow, how tall is the tree?
March 13, 2009 by fred

English
Neither I nor she will able to climb the tree. Neither I or she will able to climb the tree. Which sentence is right and why?
April 22, 2014 by Anonymous

statistics
Suppose the method of tree ring dating gave the following dates A.D. for an archaeological excavation site. 1248 1187 1199 1236 1206 1241 1185 1288 1239 Find an 80% confidence interval for the mean of all tree ring dates from this archaeological site.
November 13, 2010 by Anonymous

Chemistry
Which of the following mixtures will result in the formation of a buffer solution if all solutions are 1.0 M before mixing? i) 100. mL of NH3(aq) and 100. mL of HCl(aq). ii) 100. mL of NH3(aq) and 50. mL of HCl(aq). iii) 100. mL of NH3(aq) and 50. mL NaOH(aq). iv) 100. mL of ...
July 18, 2009 by Paul

Math (Functions)
A large company has a phone tree to contact its employees in case of an emergency factory shutdown. Each of the five senior managers calls three eployees, who calls three other employees and so on. If the tree consists of seven levels, how many employees does the company have?
May 30, 2013 by Ritu

Math (Functions)
A large company has a phone tree to contact its employees in case of an emergency factory shutdown. Each of the five senior managers calls three eployees, who calls three other employees and so on. If the tree consists of seven levels, how many employees does the company have?
May 30, 2013 by Ritu

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