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All Questions
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230688 Questions
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67
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Counting
Help with the formula
Find the number of ways of choosing three points from the grid below, so that they form an isosceles right triangle.
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Guest
Jan 28, 2023
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72
0
Inequality
I need to prove inequality
(a) Show that if a, b, c, d, e, f are nonnegative real numbers, then (a^2 + b^2)^2 (c^4 + d^4)(e^4 + f^4) >= 32abcdef.
(b) Show that if a, b, c, d, e, f are nonnegative real numbers,
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Guest
Jan 28, 2023
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82
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Geometry
Need to solve geometry
In the diagram below, angle PQR = angle PRQ = angle STR = angle TSR, RQ = 8, and SQ = 2. Find PQ.
Guest
Jan 28, 2023
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76
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Digits
Help with this hard digit
Find the number of six-digit numbers, where the sum of the digits is divisible by 8.
Guest
Jan 28, 2023
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65
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Counting
Plz help me use counting
I run a book club with n people, not including myself. Every day, for 100 days, I invite members in the club to review a book. What is the smallest positive integer n so that I can avoid ever having the exact
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Guest
Jan 28, 2023
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69
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Counting
Plz help with counting I need help
Sam wants to color the three sides of an equilateral triangle. He has two different colors to choose from. In how many different ways can Sam color the sides of the triangle? (Two
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Guest
Jan 28, 2023
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71
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Math problem
Help with these please
In the olympic women's skating competition, the gold medal goes to first place, silver to second, and bronze to third. If there are skaters, including Americans, in how many ways can the medals be awarded
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Guest
Jan 28, 2023
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77
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Counting
Help with what to do here
In a regular decagon, the sides are to be colored with five different colors, so that sides are diametrically opposite have the same color. (Not all five colors need to be used.) One possible
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Guest
Jan 28, 2023
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71
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Counting
Plz I need help with counting
At a meeting, five scientists, two mathematicians, five journalists, two biologists, and three politicians are to be seated around a circular table. How many different arrangements are
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Guest
Jan 28, 2023
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77
0
Algebra
I'm not good at algebra
Let a and b be real numbers such that a^3 + 3ab^2 = 679 and a^3 - 3ab^2 = 673. Find a - b.
Guest
Jan 28, 2023
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77
0
Expected value
Help with this fast
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 number of paths that pass through
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Guest
Jan 28, 2023
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75
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Probability
Help this is too hard
Suppose we have a bag with 10 slips of paper in it. Eight slips have a 3 on them and the other two have a 5 on them.
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Guest
Jan 28, 2023
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70
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Counting
How on earth do you count this
Marvin the fly starts at (0,0). Each step, Marvin moves one unit right or one unit up. He is trying to get to his ome at. However, at there is a frog that will eat him
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Guest
Jan 28, 2023
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73
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Geometry
Plz help with triangles
Triangle ABC is a right triangle with angle BAC= 90 degrees and angle B > angle . Suppose AP is an altitude of the triangle, AQ is an angle bisector of the triangle, and AR is
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Guest
Jan 28, 2023
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100
1
Counting
I need help with counting problem
Find the number of positive integers that satisfy the following conditions:
* Each digit is a 1 or a 2 or a 3
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Guest
Jan 28, 2023
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109
1
Graphing question
Plz help with this graphing question
The graph of y = f(x) is shown below.
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Guest
Jan 28, 2023
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117
3
+25
plz help!! Probability problem.
In the SuperLottery, three balls are drawn (at random, without replacement) from white balls numbered from 1 to 12, and one SuperBall is drawn (at random) from red balls numbered from 13 to 20. When you buy a ticket, you choose three
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TheOneXWZ
Jan 28, 2023
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81
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Binomial Theorem
How do I use binomial theorem
For some real number a and some positive integer n, the first few terms in the expansion of (1 + ax)^n are
1 + 10x + 150 x^2 + cx^3 + ...
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Guest
Jan 28, 2023
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129
1
Counting
I can't get the answers here
(a) Find the number of ways that Magnus can give out 20 identical stickers to 5 of his friends. (Not everyone has to get a sticker.)
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Guest
Jan 28, 2023
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129
1
Probability
Having a hard time with probability
A member of the junior varsity swim team will be elected as President. Each member is equally likely to be elected. The probability that a sophomore is elected is the probability that
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Guest
Jan 28, 2023
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73
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Geometry
Help with geometric probability quick
Let PQR be an equilateral triangle, centered at O. A point X is chosen at random inside the triangle. Find the probability that X is closer to O than to any of the sides.
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Guest
Jan 28, 2023
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75
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Coordinates
I dont know how to do this
A median of a triangle is a line segment joining a vertex of a triangle to the midpoint of the opposite side. The three medians of a triangle are drawn below.
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Guest
Jan 28, 2023
0
102
1
Let theta be an angle. Then there exists constants a and b such that
Let theta be an angle. Then there exists constants a and b such that
cos(theta+60 degrees)=a sin(theta) + b cos(theta)
for all theta. Enter a, b in that order.
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Guest
Jan 28, 2023
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108
2
Use the diagram above to calculate: cos(arccos(3/5)+arcsin(-4/5))
Consider the terminal points below:
Use the diagram above to calculate: cos(arccos(3/5)+arcsin(-4/5))
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Guest
Jan 28, 2023
0
102
1
Consider the following points on the graphs of y = cos(x) and y = cos(x + pi/6), with the added vertical dashed lines:
Consider the following points on the graphs of y = cos(x) and y = cos(x + pi/6), with the added vertical dashed lines:
Then what
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Guest
Jan 28, 2023
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