1. CALCULUS

    Could someone please solve these four problems with explanations? I'd like to understand how to get to the answers. Thank you! Without using a calculator: For each of the following, find: I. lim x->a- f(x) II. lim x->a+ f(x) III. lim x->a f(x) A.

    asked by Samantha on November 10, 2013
  2. math

    please guys help me this question, how to solve it. Calculate the total surface area of a hollow cylinder whose radius is 15 cm and height is 20 cm. What formula can be applied between (a) SA = 2pie*r*h + 2pie*r^2 (b)SA = 2pie*r*h State the reason why you

    asked by kelvin on August 16, 2018
  3. Algebra

    Solve problem by showing necessary steps to resolve. 0.06q + 14 = 0.3q - 5.2 Subract 0.06 q from both sides. 14 = 0.24q - 5.2 Add 5.2 to both sides 19.2 = 0.24 q Finally, divide both sides by 0.24 You will end up with q on one side of the equation and a

    asked by Ruby on July 7, 2007
  4. physics

    A car crashes into a wall at 20 m/s and is brought to rest in 0.1 s. Calculate the average force exerted on a 75 kg test dummy by the seat belt. Force*time= change in momentum mv solve for force.

    asked by barry on September 27, 2006
  5. Math, Quadratic Functions

    A rectangular chicken yard was built against an existing barn wall (as shown in the picture). 30 m of fencing was used to enclose the yard. a) Find the dimensions of the yard its area is 108 m! How to solve this problem..?

    asked by AM on December 3, 2016
  6. Math

    A person walks on the building. He slips 1m for every 5m he climbs. If the building is 53m high and he takes 5 seconds to climb 1m . Find the total time taken by him to get on the top of the building . Please- solve this problem using integers.

    asked by Prateekshya on April 8, 2017
  7. math

    Why does the inequality sign change when both sides are multiplied or divided by a negative number? Does this happen with equations? Why or why not? Write an inequality for your classmates to solve. In your inequality, use both the multiplication and

    asked by Anonymous on September 28, 2009
  8. unscrambling word

    Looks like parade to me. what is this word here are the letter dapear http://www.ssynth.co.uk/~gay/anagram.html That is an easy to use word solver. Paste or type in the letters, and solve! what is the spanish word

    asked by DrBob222 on November 13, 2006
  9. Algebra 2

    The motion of a ball scooped by a field hockey player can be modeled by h= -16t + 40t, where t is the time in seconds and h is the height of the ball. Will the ball ever reach 22 feet? I don't understand how to solve this. Help?

    asked by huncho jack on January 29, 2018
  10. Year 8 maths assignment - Algebra

    The question on my assignment I'm having trouble with is: 18xy squared + 12x squared y cubed I have to factorise it, and it doesn't work out. If anyone knows how to do this question, please help! I suggest that you go to some-one that know's what there

    asked by Tami on August 27, 2005
  11. chemistry

    One mole of solid NH4Cl (s) isvheated in a closed box to decompose it partially according to the following reaction: NH4Cl (s) NH3 (g) +HCl (g) A) calculate Kp of the above system at the temperature of the experiment if the partial pressure of ammonia at

    asked by hannah on November 9, 2016
  12. Physics

    The tallest volcano in the solar system is the 29 km tall Martian volcano, Olympus Mons. An astronaut drops a ball off the rim of the crater and that the free fall acceleration of the ball remains constant throughout the ball’s 29 km fall at a value of

    asked by Whitney on October 13, 2011
  13. plz..chemistry help

    One mole of solid NH4Cl (s) isvheated in a closed box to decompose it partially according to the following reaction:  NH4Cl (s) NH3 (g) +HCl (g)  A) calculate Kp of the above system at the temperature of the experiment if the partial pressure of ammonia

    asked by hannah on November 9, 2016
  14. Biology

    Theme A: Surface anatomy of the brain Of the following pairs of directional terms, which pair contains terms that define PERPENDICULAR (orthogonal) directions when applied to the identified region of the central nervous system? in the brainstem, ventral &

    asked by Anonym on April 10, 2013
  15. math

    Please help. mr trocki is the groundskeeper for a vacation resort. he has programmed the sprinkler system to run at night in three different zones. The sprinklers turn on at midnight and run until 7am. the fist zone runs every 90 minutes, the second zone

    asked by Hannah on September 2, 2015
  16. Math

    A disc jockey must play 14commercial spots during 1hour of radio show. Each commercial is either 30 seconds or 60 seconds long. If the total commercial time during 1hour is 11 minutes, how many 30 second commercials were played that hour? How many 60

    asked by Pam on April 13, 2014
  17. maths

    two boats, A and B, left a port C at the same time on different routes. B travelled on a bearing of 150 degree and A travelled on the north side of B. when A had travelled 8 km and B had travelled 10 km , the distance between the two boats was found to be

    asked by anthonia on May 30, 2017
  18. TRIG

    There are two questions of my homework I'm having trouble with.. I think we are supposed to show how they are true. In other words, make one side look exactly like the other one by using the identities. 1. cosX/(1-sinX)=(1+sinX)/cosX 2.

    asked by Laken on December 17, 2009
  19. Physics

    A boy throws a ball straight up into the air so that it leaves his hand at 11 m/s. 1) If the ball has mass 0.15 kg and the boy's arm moved through 1.5 m as he threw the ball, then what average force did he exert on the ball? Please show it step by step

    asked by Anonymous on October 5, 2016
  20. math

    The cost of a telephone call is $0.75 + $0.25 times the number of minutes. Write an algebraic expression that models the cost of a telephone call that lasts t minutes. i got C= 0.75 + 0.25t am i correct? pls help if im not :( and show me how u got the

    asked by lisa on October 1, 2013
  21. Chemistry

    Assume that some of the magnesium nitride is not completely converted to magnesium hydroxide and subsequently to magnesium oxide. Will your empirical formula be too high in magnesium or too high in oxygen? Please show any calculations you used to determine

    asked by GC on February 14, 2014
  22. physics/maths help damon or steve or scott

    A body moves in a straight line,with initial velocity and uniform acceleration.find how far it travels in 12sec.,given that it travels 246m in the first 6 sec.,and 69m in the last 3sec.find the initial velocity. Please show step

    asked by weryiyemi on March 22, 2017
  23. physics

    object A exerts a gravitational force of magnitude 8.2 x 10^-10 N on object B. determine the magnitude of the gravitational force if, simultaneously, the separation distance is tripled, mA increased by 4 times and m8 is halved. explain your reasons and

    asked by luna on October 14, 2011
  24. stastics- correlation and regression

    for the table that follows: answer the following questions: x y 1 -1/4 2 -1/2 3 -3/4 4 ? * would the correlation between x and y in the table show above be positive or negative? i think that it would be negative, i am not sure that is correct? * find the

    asked by mary-please help figure out this problem. on October 19, 2010
  25. physics

    object A exerts a gravitational force of magnitude 8.2 x 10^-10 N on object B. determine the magnitude of the gravitational force if, simultaneously, the separation distance is tripled, mA increased by 4 times and m8 is halved. explain your reasons and

    asked by OMar on March 31, 2011
  26. Business Finance

    Sullivan's Handbags marks up their bags at 45% of the selling price. Pat Sullivan saw a bag at a trade show that would sell for her customers for $85. What is the most she would pay for the bag and still retain the 45% markup of the selling price? I came

    asked by Renee on February 1, 2012
  27. Algebra

    --------------MP3------NO MP3---TOTAL CELL PHONE-----57--------122------?? NO Cell Phone--30---------65------?? Total --------- ??---------?? ----?? Answer all "5 question marks." The same students responded to both questions. Complete the two-way

    asked by Jalen on April 6, 2016
  28. math

    Assume that showing a car is a Bernoulli trial, and each time she shows a car, there is a probability of 0.25 that the customer will buy the car. The saleswoman has a goal of selling at least one car a week. How many cars must she show so that the

    asked by Hoon on October 14, 2010
  29. history

    I have to create a mind map about the Great Depression. there are seven factors contributing to the effect. I need help creating a visual aspect to show the causes and effect. ex. (it's taken) a hockey net that says Great Depression and different sports

    asked by Leo on March 31, 2015
  30. math

    The function rule C=10n+26 relates the number of people n who attend a small concert to cost in dollars C of the concert. Make a table of the input/output pairs to show the cost if 27, 39, and 43 people attend

    asked by abstract on April 26, 2016
  31. math

    the function rule C = 10n + 26 relates the number of people n who attend a small concert to the cost in dollars C of the concert. Make a table of the input/output pairs to show the cost if 27, 39, and 43 people attend.

    asked by kelsey on May 18, 2014
  32. accounting

    how to calculate interim dividend for 6 months ending on 30th june @ 3% for the period ending on 31/12/08 and also show how it will affect the profit & loss account & balance sheet if the interim dividend on trial balance is 18000

    asked by vinitha on December 22, 2009
  33. ElectroChem

    Find the Emf for the cell Cr(gr) | Sn4+(aq, .059 M), Sn2+ (aq, .059 M) || Fe3+ (aq, .15 M), Fe2+ (aq, .015 M) | Pt(s) if the standard cell emf is .77 V at the cathode and .15 V at the anode. Answer in Units of V. If would be nice if you could show me step

    asked by Chemstudent on February 24, 2015
  34. helpppppppp

    I have this problem abouth math pre algebra this is my problem I have 3 number that makes a total of 11 I have 1 4 6=11 in each way has to came out 11 up down side across and I have 2 more blanck spaces total of 3 its big square need help and I cant use

    asked by sally on August 30, 2005
  35. chemistry

    Compound C does not bind to the receptor as effectively as acetylcholine . Explain briefly why this might be the case. (Two or three sentences)(again if the post does not show right, two of the CH3 should be above and below the N^+ with a line directly

    asked by trigger on January 29, 2009
  36. statistics

    A test consists of 5 multiple questions each of which 3 answers are given, only 1 of which is correct.for each correct answer a candidate gets 2 marks but loses 1 mark for each incorrect answer.draw up table to show all possible marks and a probability

    asked by faith on September 22, 2016
  37. Calculus

    A vessel is in the shape of an inverted cone. The radius of the top is 5cm and the height is 8cm. Water is poured into a height of xcm. Show that if the volume of the water is Vcm^3,then V=(25/192)*pi*x^3. (The volume of a cone is given by the formula

    asked by Lian on July 4, 2014
  38. Macroeconomics

    Suppose the government starts with a balanced budget. Then, there is an increase in government spending, but there is no change in taxes. Show in an IS-LM diagram the effect of this policy on output in the short run. How will the government finance the

    asked by Alvin on June 1, 2016
  39. ElectroChem

    Find the Emf for the cell Cr(gr) | Sn4+(aq, .059 M), Sn2+ (aq, .059 M) || Fe3+ (aq, .15 M), Fe2+ (aq, .015 M) | Pt(s) if the standard cell emf is .77 V at the cathode and .15 V at the anode. Answer in Units of V. If would be nice if you could show me step

    asked by Chemstudent on February 23, 2015
  40. Math to hard please help

    The function rule C= 10n+26 relates the number of people n who attend a small concert to the cost in dollars C of the concert. Make a table of the input/output pairs to show the cost if 27,39, and 43 people attend.

    asked by stupid at math on May 10, 2015
  41. Math please help!

    Mrs. walter drove 350 miles on 25 gallons of gas.mr walters drove 480 miles on 32 gallons of gasfind the mileag per gallon for each car which car is getting the better mileage pergallon? Show your answer.

    asked by ^_^ on March 2, 2016
  42. math

    A persons height is 161 and the persons shadow is 280, and a objects height is 345. Solve by using proportions

    asked by Jada on October 16, 2013
  43. math

    two fifth of a pole is in the ground 0.125 is in the water and 4.75m is above water-find the length of the pole how can i solve such problem "4.75 m "

    asked by nas on June 18, 2010
  44. trigonometry

    tanθ= -2sqrt10/3 and π/2

    asked by Yulieth on November 20, 2011
  45. math

    Two non-negative numbers are chosen such that their sum is 30. Find the numbers if the sum of their squares is to be a maximum. Explanation to solve this would help !

    asked by David on April 10, 2013
  46. math

    Solve. Check for extraneous solutions. 1) (/3x+7) = x-1 2) (3/2x)-3=9 Note: (/3x+7) is the square root of 3x plus 7 and (3/2x)-3=9 is 3 times the square root of 2x - 3 equals 9.

    asked by cheyanne on March 6, 2012
  47. Algebra

    Solve. (x+5)(x-3)(x+4) is greater than 0. Use at least one inequality or compound inequality to express your answer. Type R if the answer is in all real numbers.

    asked by Mur on March 9, 2008
  48. math

    Person's height is 163 and the person's shadow is 290. The objects shadow is 345. Solve by using proportions

    asked by Jada on October 16, 2013
  49. more math

    solve this equation: 6x+7=8x-13 ....plz Tell what you don't understand so that we may help you. Subtract 6x from both sides of the equation and see what you get. Then add 13 to both sides. If you do it right, that will be the answer.

    asked by Mariyka on September 18, 2006
  50. Algebra

    Can someone help me with this equation? The length of a rectangle is (2x+3) and the width is (x-6). Write the equation and solve to find the value of x if the perimeter of the rectangle is 90 centimeters.

    asked by Joseph on September 8, 2016
  51. math

    Persons height is 165 and the persons shadow is 285. The objects shadow is 345. Solve by using proportions

    asked by Jada on October 16, 2013
  52. trigonometry

    1)Solve and write in standard form: 4x^2-4x+21=0 2)Find the standard form of the complex number. 8(cos pi/2 + i sin pi/2) Thanks everyone!

    asked by mikey on December 3, 2012
  53. Physics

    I am not too sure how to solve this problem: Gravity on the surface of the moon is only 1/6 as strong as gravity on the Earth. What is the weight of a 10 kg object on the moon? This is how I did 1/6(10)(9.8)=16.3 N

    asked by Soly on September 2, 2007
  54. Algebra

    Solve the equation identify as an identity, an inconsistent equation or a conditional I know the answer is Conditional {-2}, but I cannot figure out how to get it or even where to start.

    asked by Tim on March 22, 2008
  55. solve for x

    3x^2 - 2 + 2 sin(x) = 0 Thanks. The easy way is to graph it, and look for the zeroes in the graph. My guess is there is one around 18 deg, and at about 55 deg. I don't see offhand another way to solve it.

    asked by Jen on November 6, 2006
  56. PreCalculus

    I'm trying to find the x-intercepts of a polynomial function = 4x^4-3x^3-6x^2+2x+6. I don't want anyone to solve it, could someone please just tell me how to start factoring this so I can find the x-intercepts, I'm lost.

    asked by Manny on November 15, 2011
  57. math

    Using taylor series solve lim x→0 ((sin^-1 6x)-(sin 6x))/((tan^-1)(6x)-(tan 6x) I don't know how to start this problem

    asked by johnson on November 23, 2015
  58. math

    one farm is 82 acres larger than another. together the farms contain 276 acres how larg is each farm? solve using two variables and two equations

    asked by Taylor on February 3, 2013
  59. equation of the normal

    An equation of the normal to the graph of f(x) = x / (2x-3) at (1,f(1)) is ........ find f' Then, the slope of the normal will be -1/f' Make the equation g(x)= -1/f' + b put in the point 1, f(1), and solve for b, and you have it.

    asked by Jen on December 9, 2006
  60. math

    Solve. Check for extraneous solutions. 1) (/3x+7) = x-1 2) (3/2x)-3=9 Note: (/3x+7) is the square root of 3x plus 7 and (3/2x)-3=9 is 3 times the square root of 2x - 3 equals 9.

    asked by cheyanne on March 6, 2012
  61. Math

    Please help me solve this one. I am looking for 4 digit answers for PLAE and MMSS MAKE+SEAK=PLAE ELKS+ESSK=MMSS

    asked by Jay on November 12, 2015
  62. Biology

    Based on Figure 2-4, what is the mass number of carbon? It says on the table (2-4) that carbon has 6 neutrons and 6 atomic number How do I solve this? Please help!

    asked by SkatingDJ on September 14, 2015
  63. math

    Solve. Check for extraneous solutions. 1) (/3x+7) = x-1 2) (3/2x)-3=9 Note: (/3x+7) is the square root of 3x plus 7 and (3/2x)-3=9 is 3 times the square root of 2x - 3 equals 9.

    asked by cheyanne on March 6, 2012
  64. Math 4

    There are 20 teachers and 705 students in Corey's school. What is the ratio of teachers to students? How would I solve this problem? PLZ help me! :(

    asked by Diane on April 17, 2016
  65. Algebra 2

    Solve the equation : 8^2x-1 = 16^x+1 i know you have to log both sides log8^2x-1 = log16^x+1 and then you use the exponential rule 2x-1 log8 = x+1 log16 but then i don't know what to do...

    asked by Brooke on February 22, 2015
  66. Math

    Vinay made a Password that consists of 3 digits. None of the digits are the same. How many possible passwords did Vinay choose from? Please explain how to solve.

    asked by :3 on May 1, 2017
  67. HISTORY

    What postwar problems existed between the US and Spain? What attempts wher made to solve the problems and why did these attempts fail?

    asked by OLIVIA on August 30, 2010
  68. Math

    ten pounds of potatoes cost $2.55. How much will 6 pounds cost? Write and solve a proportion. Justify your steps.

    asked by John on April 12, 2011
  69. Algebra

    I don't get how you would know which way to shade the inequality when it's true or false. For example the inequality 2x+3y> 12 When I solve it it's y>-2/3x+4 But when I graph the line how would I know which side to shade?

    asked by Emma on December 12, 2012
  70. Physics

    A swing is 2m long. how often do you need to push it to increase its swing's amplitude the most? L=2m When amplitude is the most KE=0 and PE is at its maximum. But i'm not completely sure how to solve this problem.

    asked by Andrea on February 6, 2008
  71. science

    acetic acid has a pka of 4.8 how many ml of 0.1M acetic acid and 0.1M sodium acetate are required to prepare 1L of 0.1M buffer with a PH of 5.8? solve

    asked by ruth on March 16, 2016
  72. Precalculus

    Let a and b be real numbers. The complex number 4 - 5i is a root of the quadratic z^2 + (a + 8i) z + (-39 + bi) = 0. What is the other root? I tried working this problem and so far I got that (a+8i) - (4-5i)= (-39-bi)/(4-5i). Im not sure how to solve this

    asked by Aditya on August 13, 2014
  73. pre calculus

    in the equation (x-4)^2+y^2=16 the letters x and y represent rectangular coordinates. Write the equivalent equation using polar coordinates. solve for r

    asked by Meredith on December 19, 2016
  74. Math

    Tanya is 62 inches tall. She is 17 inches taller than May. Write an equation that can be used to find May's height. Please solve the equation.

    asked by Amy on December 10, 2014
  75. problem solving

    there are 118 ridges around the edge of a dime. key has $5 in dimes. how many ridges,are there in all of kellys dimes combined? please solve. thanks

    asked by stephie 21 on November 14, 2012
  76. algebra 2

    solve the inequality: -3(r-11)+15> 9 _ this is as far as Ive gotten. -3r+33+15> 9 _ subtract 33, subtract 15 from each side. Now when you divide by -3, you have to reverse the inequality sign. Your answer will be r

    asked by erin on July 16, 2007
  77. Math

    "Half the measure of the angle is 25 more than one third the measure of the complement. Find the angle" I don't understand how to set up and solve this at all.

    asked by R on September 30, 2015
  78. algebra

    solve for x: 2(x-3) - 3(x+5) = 3 (x-2) - 7 Perform the indicated multiplications; add up the constants and the terms that involve x; then get all terms that involve x on one side of the equation. 2x -6 -3x -15 = 3x -6 -7 -x -21 = 3x -13 -8 = 4x x = ? -2

    asked by kb on July 10, 2007
  79. Trigonometry

    Solve for x in the interval 0

    asked by ` on April 21, 2010
  80. Precalculus

    Solve the equation in the indicated domain. 1. 2cos^2 x-5cos x +2=0 x E[0,360) 2. sin^2 x+5 sin x +6=0 x E[0,360) *assume x is theta

    asked by Anonymous on November 19, 2013
  81. ap calc

    find the maximum value of f(x)= 3cos(x)-2sin(x) I know you have to take the derivative but after the derivative I don't know how to solve it. f'(x)=-3sin(x)-2cos(x)=0 I don't know what to do after this please help

    asked by Anonymous on November 9, 2014
  82. Geometry

    If x is the midpoint of line vy and wz And the prove is triangle vwx is congruent triangle yzx can you help me solve this using two column prove

    asked by Anonymous on December 5, 2013
  83. Algebra

    I have to solve an inverse function. f(x)=x+6 and g(x)=x+6 f(x)=1/4x,x is equal to or not equal to 0 g(x)=1/4x,x is equal to or not equal to 0 Please help me I have been on this one problem for hours and I can't get it. This one question will determine

    asked by Beth on August 5, 2013
  84. Algebra

    If x is the midpoint of line vy and wz And the prove is triangle vwx is congruent triangle yzx can you help me solve this using two column prove

    asked by Anonymous on December 5, 2013
  85. algerbra 1

    Two times the least of three consecutive odd integers exceeds three times the greatest of 15. What are the integers? I need an equation to solve and I have tried but without success can anyone help me?

    asked by Lawyer on October 1, 2014
  86. english

    I've done a few google searches, but how can I find someone who's influencing poverty in the state of Georgia? i need to find anyone who's doing anything to solve the problem of poverty, in any way. Can someone please help me..?

    asked by y912f on September 30, 2011
  87. algebra

    Solve the formula for the variable given.Then use the given information to find the value of the variable. A=2πrw Find r if w=4ft And A=120ft square. Please someone help me with this!!!

    asked by katy on August 22, 2013
  88. Math

    A sequence of numbers is defined by the expression a(subscript n) = 3n + n^2 Which sequence corresponds to this expression? A)4, 9, 12, 20 B)4, 10, 18, 28 C)4, 10, 15, 20 D)5, 10 ,15 20 Question: What am I supposed to do here? How would I solve this?

    asked by Amy on October 11, 2010
  89. trigonometry

    find the values of y if the distance between the two points (10,y) and (16,2) is 10. i wrote down the distance formula: 10=SQRT(16-10)squared + (2-y)squared now how do i solve for y??

    asked by y912f on January 15, 2009
  90. Algebra NEED HELP PLEASE

    If x is the midpoint of line vy and wz And the prove is triangle vwx is congruent triangle yzx can you help me solve this using two column prove

    asked by Anonymous on December 5, 2013
  91. Math

    The perimeter of a rectangle is 21 inches. What is the measure of its width if its length is 3 inches greater than its width?..... Please help me solve this question...

    asked by Vali on April 13, 2016
  92. calculus

    Determine whether the series is convergent o divergent and say what test you used to solve it. (d) sum n=1 to infinity (5n)^(3n) / (5^n + 3)^n (e) sum k=1 to infinity 5 / sqr(2k - 1)

    asked by Paul on September 20, 2012
  93. Algebra check+help?

    Write the equation so that y is is a function of x. 1) 5x+4y=10 Would you minus the 5 from the 10 first? and 4y=5-10? Because she only wants us to write the equation, not exactly solve for it. And doesn't want us to overthink. Could I please have someones

    asked by Allyson on October 26, 2010
  94. Trig

    Consider a triangle ABC like the one below. Suppose that A=45 degress, B=34 degress, and a= 70. Solve the triangle. Round your answers to the nearest tenth.

    asked by Jennifer on May 15, 2011
  95. algebra

    what % of 960 is 172.80? 960*x = 172.80. Solve for x, then multiply the decimal obtained by 100 if you want it expressed as percent.

    asked by corbin on November 2, 2006
  96. Algebra

    Write and then solve the equation for the following. Please correct me if I'm wrong!! 1. If 3x+2x is equal to 15, what is the value of x? Answer: x=3 2. If three times the quantity (4y-2) is equal to 18, what is the value of y? Answer: y=1

    asked by Anonymous on August 31, 2014
  97. algebra

    Solve the formula for the variable given.then use the info to find the value of variable. S=πr(h+k) Find h if r=2,k=3,and S=50 I really don't know how to answer this kind of questions :(

    asked by katy on August 22, 2013
  98. Chemistry

    the distance from the sun to earth is 1.496 x10 ^8 km. how long does it take light to travel from the sun to earth How do you solve this?

    asked by Mark on October 25, 2015
  99. Math

    Numbers are drawn from the 27 integers 1 to 27. At least how many number(s) is / are drawn at random to ensure that there are two numbers whose difference is divisible by 4? Please help me to solve this one😩🙏🙏

    asked by Natni on May 3, 2019
  100. ordinary differential equation

    Solve the simultaneous differential equations L(di1/dt)+Ri1+(1/2)L(di2/dt)=E L(di2/dt)+Ri2+(1/2)L(di1/dt)=0 where 𝐿, 𝑅, and 𝐸 are constants and given that i1=i2=0 when t=o

    asked by thigan on May 21, 2016

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