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All Questions
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230587 Questions
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97
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physics
A bicyclist, starting from rest, speeds up for 5.0 s. The magnitude of her acceleration during this time interval is a_1. She then stops pedaling and immediately begins coasting to a stop with an acceleration magnitude of a_2. If the bicyclist
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Guest
Dec 4, 2022
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118
1
counting problem
Let n be a positive integer. Let k be a positive integer.
(a) Using a counting argument, show that C(n - 1, k - 1) + C(n - 1, k) = C(n,k).
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Guest
Dec 4, 2022
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144
3
+96
For what values of n is it true that (n − 3)(n + 2) > 0?
For what values of n is it true that (n − 3)(n + 2) > 0?
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coolkidslovemath1982
Dec 4, 2022
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128
1
Let $a$, $b$, $c$, $d$, and $e$ be positive integers. The sum of the four numbers on each of the five segments connecting 'points' of the st
Let a, b, c, d and e be positive integers. The sum of the four numbers on each of the five segments connecting "points" of the star is 28. What is the value of the sum of a+b+c+d+e?
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Guest
Dec 4, 2022
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90
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Probability
Two points on a circle of radius 1 are chosen at random. Find the probability that the distance between the two points is at most 1.5.
Guest
Dec 4, 2022
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107
1
How is this 0.5 and not 18.
How is this 0.5 and not 18.
or Visa Versa
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Guest
Dec 4, 2022
-1
144
2
+266
ANother question
This is a hard one see if you guys can solve it! Try to!
Find the least positive four-digit solution to the following system of congruences.
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Imcool
Dec 4, 2022
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154
3
help asap
The positive integers 1 through 49 are divided into k disjoint subsets so that no two integers whose sum is divisible by 10 are in the same subset. For example, 13 and 37 cannot be in the same subset. What is the smallest possible value of k?
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Guest
Dec 4, 2022
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132
1
help counting
In a row of five squares, each square is to be colored either red, yellow, or blue, so that no two consecutive squares have the same color, and at lest three of the squares are red. How many ways are there to color the five squares?
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Guest
Dec 4, 2022
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142
1
Rectangles
Two rectangles overlap, as shown below. Find the area of the overlapping region (which is shaded) if AB = BE = 2 and AD = ED = 4.
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Guest
Dec 4, 2022
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122
1
counting
Six children are each offered a single scoop of any of 3 flavors of ice cream from the Combinatorial Creamery. In how many ways can each child choose a flavor for their scoop of ice cream so that each flavor of ice cream is selected by at least two children?
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Guest
Dec 4, 2022
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114
1
counting question
The grid below is made up of line segments, like the line segment in red.
There are a number of paths that go from A to B in the grid, where every step goes to the right or up. If we choose a line segment at random, then what is the expected
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Guest
Dec 4, 2022
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92
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need help
A tribe of eight villagers sits in a circle around a campfire. If the chief must sit beside his mother, how many different seating arrangements are possible? Two seating arrangements are considered the same if each individual has the same person to the
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Guest
Dec 4, 2022
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89
0
counting
We want to divide 10 dogs (including Fluffy and Nipper) into three groups, one with 3 dogs, one with 5 dogs, and one with 2 dogs. How many ways can we form the groups such that Fluffy is in the 2-dog group and Nipper is in the
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Guest
Dec 4, 2022
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113
1
help plz
When the same constant is added to the numbers 60, 120, and 150 a three-term geometric sequence arises. What is the common ratio of the resulting sequence?
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Guest
Dec 4, 2022
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86
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Probability question
A stick is broken at two points, chosen at random. If the length of the stick is 6, then what is the probability that all three resulting pieces are shorter than 3 units?
Guest
Dec 4, 2022
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89
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counting
In how many ways can the numbers 1 through 5 be entered once each into the five boxes below so that all the given inequalities are true?
Guest
Dec 4, 2022
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117
1
counting
Find the number of paths from P to Q, where each step is to the right or up.
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Guest
Dec 4, 2022
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88
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Pascal's triangle
The entries in a certain row of Pascal's triangle are
1, n, ..., n, 1
The average of the entries in this row is 2. Find n.
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Guest
Dec 4, 2022
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123
1
if x(y)=24 what is x+z=9 and y+z=7
if x(y)=24 what is x+z=9 and y+z=7
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Guest
Dec 4, 2022
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98
0
hóa
em hãy tìm khối lượng của 1mol nguyên tử Cl và 1 mol phân tử Cl2
Guest
Dec 4, 2022
0
182
1
Polygon problem
Let P be a regular nonagon with side length 2, and let S be the set of points that are within a distance of 1 from S. (That is, a point X is in S if there exists a point Y in P such that XY <= 1.) What is the perimeter of P?
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Guest
Dec 4, 2022
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133
1
need help plz
Valeria has three coins, each of which has a probability of 1/2 of coming up heads. On her first turn, she flips all three coins. If all three come up heads, then she stops. Otherwise, for her second turn, she flips any coins that came up tails.
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Guest
Dec 4, 2022
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