# unowen

Popular questions and responses by unowen
1. ## physics

Robin Hood has to shoot an arrow at an apple that sits on a wall 400 meters away, at a height of 40 meters. He must shoot at an angle of 60 degrees. What must the initial velocity of the arrow be to hit the target? Assume he's shooting laying down on the

2. ## math

What is the maximum number of pieces you can divide a circular pizza into with 4 cuts? [All cuts must be distinct straight lines from one point on the edge of the pizza to another point on the edge of the pizza, and you may not move the pizza slices.]

3. ## maths

You have a calculator with 4 buttons.They can multiply the current value shown on the calculator by 2, divide the current value by 3, add 5 to the current value, or subtract 7 from the current value. If the screen starts at 6, what is the fewest button

4. ## physics

A car moving at 15 m/s skids to a stop after 20 m. How far will it skid if it is moving at 45 m/s, assuming that the braking force is constant?

5. ## probability

Amy and Blake are each dealt two cards from a standard, 52-card deck. Amy's cards are known, Blake's cards are unknown. In which of these two scenarios is it MORE LIKELY that Blake has a pair: A) Amy: Queen Queen Blake: face down, face down B) Amy: Queen

6. ## maths

Find the sum of primes p such that p²+11 has exactly six different positive divisors (including 1 and the number itself).

7. ## probability and statistics

Roll a fair six-sided die until you roll a number that is less than one of your previous rolls. To three decimal places, what is the expected value of the number of rolls made?

8. ## maths

What is the maximum number of coins that can be placed on squares in an 8x8 chessboard such that each row, each column, and each long diagonal contains at most 4 coins? (Note: Only 1 coin is allowed per square.)

9. ## statistics and probabilities

You have two coins that look identical, but one of them is fair and the other is weighted. The weighted coin has a 3/4 chance of flipping heads and a 1/4 chance of flipping tails. Unfortunately, you've forgotten which coin is which! You decide to keep

10. ## Percentages

In an examination, 40% students pass in Math, 45% pass in Science and 55% pass in English. 10% pass in Math and Science, 20% in Science and English and 15 % in English and Math. Find the percentage of students who passed in all the 3 subjects

11. ## Conditional Probability

Please refer to the illustration at screenshotsfirefoxcom/jZoizoMJf8a3H0UZ/ds055uzetaobbcloudfrontnet to help answer the following question: Zeb's coin box contains 8 fair, standard coins (heads and tails) and 1 coin which has heads on both sides. He

12. ## algebra

Solve for x: (2e^2x)-(7e^x)=15

13. ## logic

Ali and Zoe reach into a bag that they know contains nine lottery balls numbered 1-9. They each take one ball out to keep and they look at it secretly. Then, they make the following statements, in order: Ali: "I don't know whose number is bigger." Zoe: "I

14. ## logic

On a certain island there live only knights, who always tell the truth, and knaves, who always lie. One day you find 10 island natives standing in a circle. Each one states: "Both people next to me are knaves!" Of the 10 in the circle, what is the minimum

15. ## maths

A group of students decide to attend a concert. The cost of renting a bus to take them to the concert is \$450, which is to be shared equally among the students. The concert promoters offer discounts to groups arriving by bus. Tickets normally costs \$59

16. ## statistics

You have two coins that look identical, but one of them is fair and the other is weighted. The weighted coin has a 3/4 chance of flipping heads and a 1/4 chance of flipping tails. Unfortunately, you've forgotten which coin is which! You decide to keep

17. ## spatial reasoning

You have a pile of 1 x 2 unit dominoes. There's one way to tile a 1x2 area, 2 ways to tile a 2x2 area, 3 ways to tile a 3x2 area, and 5 ways to tile a 4x2 area. How many ways are there to tile a 5x2 area with your 1x2 domino tiles?

18. ## surface area

A unit cube with side lengths of 1 unit is cut into cuboids with heights of 1/2, 1/3, and 1/6 units, respectively. The pieces are then placed adjacent to each other to form a staircase. The total surface area of the original unit cube was 6 units. What is

19. ## Geometry

Which takes up more space: A single circle inscribed in a triangle, touching each side at a single point? Or, four identical circles, with 3 of them touching the center circle, and those same 3 touching one point each on the three sides of the

20. ## Physics

An archer lying on the ground shoots an arrow at a target that is 400 meters away, and 40 meters high. The initial velocity of the arrow is 120 m/s At what angle does he need to point his bow in order to hit the target? (Assume the value of g as -9.81

21. ## math

2x is a perfect square, 3x a perfect cube, and 5x a perfect 5th power. Find the sum of the exponents in the prime factorization of the smallest such positive integer x. Thank you.

22. ## physics-density

A solid right circular cone of uniform mass density is initially at rest above a body of water, so that its vertex is just touching the water's surface with its axis of symmetry along the vertical. Now, the cone falls into the water, and has zero speed at

23. ## geometry

What is the blue area in the graphic at the following link: drivegooglecom/file/d/1w4WF6LfpJB34pkmeRnN5EJsOPuk-ZQUS/view

24. ## physics

A stone is dropped from a ledge 45m high. What will its speed on reaching the Earth be?

25. ## calculus

If a ball is thrown at the height of 10m then it bounces by 3\5 of the 10 meter and continues to resting condition, what is the total distance covered by the ball until rest?

26. ## algebra

Given: a-b/c-d = 2 and a-c/b-d= 3 Given that a,b,c and d are real numbers, find the value of a-d/b-c...

27. ## physics

The illustration for this problem is at ds055uzetaobbcloudfrontnet/image_optimizer/142fdba0bc53bb9ae12ecea6de058f57fef01274.png A rope of length 90cm lies in a straight line on a frictionless table, except for a very small piece at one end which hangs down

28. ## physics

The illustration for this problem is at ds055uzetaobbcloudfrontnet/image_optimizer/142fdba0bc53bb9ae12ecea6de058f57fef01274.png A rope of length 90cm lies in a straight line on a frictionless table, except for a very small piece at one end which hangs down

29. ## fractals

The images for this question can be seen at ds055uzetaobbcloudfrontnet/image_optimizer/6e5bfce857320dea5985406428cba570440e5181.png and ds055uzetaobbcloudfrontnet/image_optimizer/8b43e0b9075d5c33c65862955d90fa767bb63dac.png A fractal pattern is created in

30. ## algebra

If a + 1/a=7, what is the value of a³ + 1/a³?

31. ## physics

The illustration for this problem can be seen at screenshots(dot)firefox(dot)com/atwXACAA9akaoAji/null The army is testing out a new prototype artillery cannon with an uncommonly high muzzle velocity of 1000 m/sec . The design bugs haven't been fully

32. ## physics

The illustration for this problem can be seen at screenshots(dot)firefox(dot)com/atwXACAA9akaoAji/null The army is testing out a new prototype artillery cannon with an uncommonly high muzzle velocity of 1000 m/sec . The design bugs haven't been fully

33. ## logical reasoning

You are asked to guess an integer between 1 and N inclusive. Each time you make a guess, you are told either: (a) you are too high, (b) you are too low, or (c) you got it! You can guess as many times as you like, but are only allowed to guess too high 10

34. ## logical reasoning

You are asked to guess an integer between 1 and N inclusive. Each time you make a guess, you are told either: (a) you are too high, (b) you are too low, or (c) you got it! You can guess as many times as you like, but are only allowed to guess too high 10

35. ## algebra

For the following question, please reference the graphic at: screenshotsfirefoxcom/cjbaIYetsJhJJimy/ds055uzetaobbcloudfrontnet Pictured is the graph of the equation 4xÃ‚Â²=y(1-y)(2-y)Ã‚Â² rotated around the y-axis. Find the volume of the egg.

36. ## physics

Please reference the illustration at screenshotsfirefoxcom/fDDGSaztdbf0b7Uh/brilliantorg for the following problem: A bunch of bananas of total weight W is hung at one end of a string passing over a perfectly smooth pulley. At the other end, a monkey

37. ## algebra

Please reference the photo at: screenshotsfirefoxcom/ak1Ss85a8nhM4o2t/brilliantorg for the question. What is the value of XY??? Thank you

38. ## algebra

15 can be written as the difference between two positive perfect squares: 15=4²-1²=16-1 Which of the following numbers cannot be written as the difference of two positive perfect squares? 16 17 18 19 20

39. ## geometry

Please reference the illustration at screenshotsfirefoxcom/kzZjGCIcg9EMQ0MH/brilliantorg to answer the following question: What percentage of the square's area is colored blue? 30% 35% 40% 45% 50%

40. ## physics

Please reference the illustration at: screenshotsfirefoxcom/kBXqJ4tycTCPwjUw/brilliantorg to answer the following question: On the edge of a wall, you build a brick tower that only holds because of the bricks' own weight. Your goal is to build a stable

41. ## logic

Three hats are placed on the heads of three men standing in a line. Each man can only see the men and hats in front of him. In addition, the men all know that the hats came from a bag with 3 red hats and 2 blue hats. Each man is asked if he knows which

42. ## physics

Philip forms three equal portions of leftover mashed potatoes into three shapes: a cube, a sphere, and a cylinder. Each portion is heated in the oven to the same uniform temperature. When he takes the portions out of the oven and leaves them at room

43. ## math

x is a positive integer such that the sum of its digits times 5 equals itself. What is x?? For example, 32 does not qualify because (3+2)x5=25, not 32. Prove there is only one possible value for x

44. ## geometry

Consider ann equilateral triangle, a circle, and a square that all have equal areas to each other. Which one would have the largest perimeter?

45. ## geometry

Please reference the illustration at screenshotsfirefoxcom/Cl7zsk8ZAmzCoMDM/brilliantorg to answer the following question: The Pharaoh would like to cover the lateral sides of his square pyramid with the finest marble. In order to save the cost of

46. ## maths

1,2,3,4,5 These five numbers are written on a whiteboard. You start with a score of 0. You pick two numbers, add their positive differences to your score, and erase your choice of one of the two numbers. This process is repeated until there is only one

47. ## Mathematics

Find the smallest positive integer which ends in 17, is divisible by 17, and whose digits sum to 17.

48. ## probability

There are 100 people in line to board a plane with 100 seats. The first person has lost his boarding pass, so he takes a random seat. Everyone that follows takes their assigned seat if it's available, but otherwise takes a random unoccupied seat. What is

49. ## geometry

Please refer to the following photo to answer this question: screenshotsfirefoxcom/0F0pXhMjyyk0fnnP/brilliantorg A kite is divided into four regions by two line segments that connect the midpoints of opposite sides. Is the total blue area equal to the

50. ## physics

Please reference the following picture for this question: screenshotsfirefoxcom/V57wh6MYWUXfnx5M/brilliantorg Initially, the U-tube shown above is filled with water, and the level on each side is l0. After some oil is poured on side A, the level on that

51. ## calculus

"screenshotsfirefoxcom/8POFA7yOO7VQ1QGz/null"

52. ## math

Calculate the sum of the series: π²/3!-π^4/5!+π^6/7!-π^8/9!+π^10/11!....

53. ## math

The pyramid of integers above is constructed in such a way that each "father" has exactly 3 "children": 1>2,3,4 2>5,6,7 3>8,9,10 4>11,12,13 5>14,15,16 6>17,18,19 . . . What number is the father of 2017?

54. ## physics

A rectangular box of length 2/3m is initially traveling at 2 m/s with its entire length over a smooth (perfectly frictionless)surface .The box gradually moves onto a rough surface and stops the instant that its entire length is positioned within the rough

55. ## algebra

Rob is 21 years old, angie is twice as old as Rob was when Angie was old as Rob is now, how old is angie?

56. ## math

There are 10 coins, 5 of which are heads up and 5 of which are tails up. On each turn, you choose exactly 3 coins and flip them over. What is the minimum number of turns needed to make all of the coins heads up?

57. ## logic

What is the least number of unit squares that you need to remove from a 5 by 3 checker board in order to make it impossible for anyone to put an "X" in 3 remaining squares to make a connected vertical, horizontal, or diagonal set of 3 (a set that looks

58. ## logic

What is the least number of unit squares that you need to remove from a 5 by 3 checker board in order to make it impossible for anyone to put an "X" in 3 remaining squares to make a connected vertical, horizontal, or diagonal set of 3 (a set that looks

59. ## algebra

For how many different pairs of numbers, a and b, are the following equalities true: a+b=a*b=a/b ??????? Thank you for your help.

60. ## probability and statistics

An ice-cream store has exactly 6 flavors of ice-cream. Each of 6 friends likes exactly 4 flavors. Is there guaranteed to be a flavor which at least 4 friends like?

61. ## computer science

Sara needs to needs to trek from an oasis to a destination 10 miles away across a barren desert. However, she finds herself dealing with the following limitations: a) Crossing one mile of desert requires using 1 gallon of water. b) She can only carry 6

62. ## physics

Suppose we are given an arbitrary form for the acceleration a(t) of a particle that starts from rest at r(t_i)=0. What would be the derivation of its' position at r(t_f): a)(t_f - t_i)⌠t_f a(t)dt ⌡t_i b) v(t_f)+v(t_i)/2 ((t_f-t_i)) c)⌠t_f dt ⌠t

63. ## logic

40 matchsticks are arranged to form a 4 by 4 grid of 16 smaller squares, 4 matchsticks to a small square. What is the fewest number of matchsticks that need to be removed so that there are no squares (of any size) remaining?

64. ## logic

40 matchsticks are arranged to form a 4 by 4 grid of 16 smaller squares. What is the fewest number of matchsticks that need to be removed so that there are no squares (of any size) remaining?

65. ## maths

The values A,B,C, and [(A/B)+C], are all integers which are divisible by 3. Then, which of the following statements must be true: A is divisible by 9 B is divisible by 9 C is divisible by 9 A and B are both divisible by 9 A,B,and C are all divisible by 9

66. ## number theory

The values A,B,C, and [(A/B)+C], are all integers which are divisible by 3. Then, which of the following statements must be true: A is divisible by 9 B is divisible by 9 C is divisible by 9 A and B are both divisible by 9 A,B,and C are all divisible by 9

67. ## maths

A group of students decide to attend a concert. The cost of renting a bus to take them to the concert is \$450, which is to be shared equally among the students. The concert promoters offer discounts to groups arriving by bus. Tickets normally costs \$59

68. ## probability

There are 100 people in line to board a plane with 100 seats. The first person has lost their boarding pass, so they take a random seat. Everyone that follows takes their assigned seat if it's available, but otherwise takes a random unoccupied seat. What

69. ## physics

Robin Hood has to shoot an arrow at an apple that sits on a wall 400 meters away, at a height of 40 meters. He must shoot at an angle of 60 degrees. What must the initial velocity of the arrow be to hit the target? Assume he's shooting laying down on the

70. ## number theory

If you wrote down at all whole numbers from 1 to 1000... 1,2,3,4,5....999,1000 ...which digit would appear the least?

71. ## math

A right triangle has vertices on a grid at (0,0), (8,0), and (8,6). There is a point on the hypotenuse, (4,3), made up of integers. The question is: If the corners of the triangle were instead at (0,0), (1200,0), and (1200,1000),how many dots from the grid

72. ## math

The positive number X is divisible by 42, and is composed of only 1s and 0s when written in base 10. What's the smallest number that X might be?

73. ## geometry

find the focus of x^2+4y^2+2x+24y++28=0. Thank you

74. ## Physics

Robin Hood is known for stealing from the rich to give to the poor. He finds himself surrounded by some angry noblemen who demand he return their gold chest. Outnumbered, he takes an arrow from his quiver and fires it straight into the air, scattering the

75. ## Physics

A solid right circular cone of uniform mass density is initially at rest above a body of water, so that its vertex is just touching the water's surface with its axis of symmetry along the vertical. Now, the cone falls into the water, and has zero speed at

76. ## physics

A solid right circular cone of uniform mass density is initially at rest above a body of water so that its vertex is just touching the waters surface with its axis of symmetry along the vertical. Now, the cone falls into the water, and has zero speed at

77. ## Physics

An interplanetary probe speeding in deep space suddenly needs to make a left turn. It is presently traveling at v=20000 m/s , and needs to make a quarter circle turn, continuing at the same tangential speed. It is equipped with an ion thruster rocket

78. ## Geometry

An equilateral triangle, ABC, has two of its vertices, A and B, below the x-axis; has the third vertex C above the x-axis, and contains the points (0,0) on segment AC, and (0,1) on segment BC. How long is the path traced out by all possible points C to two

1. ## geometry

Thanks for your help, guys. This problem's been nagging me for a while. The area of the square was 4x², once you solved for x............

posted on March 25, 2020
2. ## algebra

3+1.5=4.5 4.5+1.5=6 6+1.5=7.5 . . . Since each subsequent number can be found simply by adding a constant to the previous number, the sequence is, by definition, an arithmatic progression

posted on March 23, 2018
3. ## math

Out of 10 questions, you answer 4 1-pointers and 5 two-pointers, leaving one question incorrectly answered. If there are 4 1-point questions, and 6 2-point questions, this gives you 16 points total for the quiz. You miss one 2-point question, giving you a

posted on March 2, 2018
4. ## alegbra

If the creator receives 8% of each game sold, then the company that produces the game gets the remaining 100-8, or 92% of the revenue. Let n be the selling price of the game. Then: .92n=10.10 n=10.10/.92=10.98 price of the game ☺☺☺☺

posted on March 2, 2018
5. ## algebra

Let n be the amount contributed in 2002. In 2003, the contributions were 15% greater, or 1.15n. In 2004, the contributions were 10% greater than that, or 1.1(1.15)n. So: 1.265n=8855 n=7000 ☺☺☺☺

posted on March 2, 2018
6. ## Mathematics

The cells divide every 5 minutes, starting from 1. Let x equal every 5 minute period. Then: 1,000,000=1*2^x ln 1,000,000=ln 2^x=x ln 2 x=19.93 19.93 x 5=99.66 minutes before the cell population reaches 1,000,000.

posted on February 27, 2018
7. ## Math

The penny's height at any time, t, seconds would be given by the equation h(t)=-16t²+10t+300. It reaches its' maximum height at -10/-32, or 0.3125 seconds (-b/2a). This gives it a maximum height of 301.5625 ft. The penny lands at h(t)=0, or

posted on February 27, 2018
8. ## Math

The architect was not hired because those side lengths are impossible to construct a triangle. Imagine the 2nd piece, 37 ft. Now, take the other two sides: 15 and 21 ft. The two shorter pieces would be, when added together, shorter than the first piece

posted on February 26, 2018
9. ## Algebra 1

If this baseball is propelled upwards with a velocity of 30 ft/s, then the formula for its' height after t seconds would be: h(t)=-16t²+30t+6 It's maximum height is reached at -b/2a seconds, from the equation h(t)=a(t)²+b(t)+c. In this case, that would

posted on February 26, 2018
10. ## Math

Let c be Christian, and m be Marie. Then: c=3m and m=c-12 So: 3(c-12)=c 3c-36=c 2c=36 c=18 ☺☺☺☺

posted on February 17, 2018
11. ## Math

19/25 x 25000=19x25000/25=19 x (25000/25)=19x1000=19000 ☺☺☺☺

posted on February 16, 2018
12. ## math

4πr²=4π(1.25)²=6.25π=19.63 in² 4/3 πr³=4/3 π(1.25)³=8.18123 in³ ☺☺☺☺

posted on February 15, 2018
13. ## math

Let n be the total amount of registered doctors that year. Then: 0.233n=46800 n=46800/0.233=200858.37 doctors registered (rounds down to 200,858) ☺☺☺☺

posted on February 15, 2018
14. ## math

Let d be the distance between Abigail's apartment and her campus. Then: d/3=d/12 +36/60 20d=5d+36 15d=36 d=36/15, or 12/5 miles between Abigail's apartment and the campus ☺☺☺☺

posted on February 15, 2018
15. ## math

f(x)=3x²+12x+2 f(x)/3=x²+4x+2/3 f(x)/3 +4=x²+4x+4+2/3=(x+2)²+2/3 f(x)/3=(x+2)²-10/3 f(x)=3(x+2)²-10 Hope this helps ☺☺☺☺

posted on February 12, 2018
16. ## math

y=2.9046(1.9798)^x Solve for y=13. So: 13=2.9046(1.9798)^x 13/2.9046=1.9798^x 4.47566=1.9798^x ln 4.47566=ln 1.9798^x=x ln 1.9798 x=2.1942355 The number of days, at that rate, would be 2.1942355 ☺☺☺☺

posted on December 2, 2017
17. ## Pre cal

-3x^4+27x^2+1200=0 0=3x^4-27x^2-1200 (3x²+48)(x²-25)=0 3(x²+16)(x+5)(x-5)=0

posted on November 29, 2017
18. ## Mathematics

thanks

posted on November 25, 2017
19. ## français

why are researchers and scientists from african countries migrating to Western countries?

posted on November 25, 2017
20. ## Álgebra

Let n be the common factor between the two pieces. Then, the length of each piece is given by 3n and 7n, respectively. The length of the longer piece would be 7n/v+4 So: 3n+7n=v+4 3n+7n/v+4=1 3n/v+4 +7n/v+4=1 7n/v+4=1-3n/v+4

posted on November 24, 2017
21. ## Algebra

1.1^6=1.771561 1.771561*2100=3720.28

posted on November 22, 2017
22. ## Math

4 ft=48 in 48 in/8 in=6 ☺☺☺☺

posted on November 22, 2017