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All Questions
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237643 Questions
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228
3
square area to circle
if the area of a square is 196 decimeters squared, then what's the area of the inner circle?
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Guest
Jan 17, 2023
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161
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binomials
Find the positive integer n such that the expansion of (4x - 7y)^n contains a term of the form cx^2*y.
Guest
Jan 17, 2023
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172
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Counting
Each unit square of the 4 x 4 grid below is to be filled in with the number 1, 2, 3 or 4 so that
* each row contains the numbers 1, 2, 3, and 4 in some order
* each column contains the numbers 1, 2, 3 and 4 in some order
* each 2
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Guest
Jan 17, 2023
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170
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medians
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.
Note that the three medians appear to intersect at the same point! Let's
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Guest
Jan 17, 2023
+1
192
1
counting question
In the array below, in how many different ways can we start with the letter A and move from letter to letter (horizontally, vertically, or diagonally), to spell the word "ARCH"?
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Guest
Jan 17, 2023
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178
2
Help appreciated! :)
Let angles alpha, beta and gamma be as shown in ABC below.
a) What are tan(alpha), tan(beta), tan(beta + gamma) in that order?
read more ..
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Guest
Jan 17, 2023
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158
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Expected value
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
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Guest
Jan 17, 2023
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207
1
help with expected value
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.
How many 5's do we need to add to make the expected value equal to 7?
How many
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Guest
Jan 17, 2023
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171
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Probability
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. (In other words, find the probability that XO is
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Guest
Jan 17, 2023
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214
1
IMpORTanT PLS HeLP
PLS HELPP DUE TODAY
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Guest
Jan 17, 2023
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170
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triangles
In triangle PQR, M is the midpoint of PQ. Let X be the point on QR such that PX bisects angle QPR, and let the perpendicular bisector of PQ intersect AX at Y. If PQ = 36, PR = 22, QR = 26, and MY = 8, then find the area
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Guest
Jan 17, 2023
Jan 16, 2023
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161
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Distance
What is the smallest distance between the origin and a point on the graph of y = 1/2*(x^2 - 8)?
Guest
Jan 16, 2023
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151
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Distributions
Find the number of ways of placing 4 balls in 5 boxes if the balls are distinguishable and the boxes are distinguishable.
Guest
Jan 16, 2023
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180
1
Please help with counting
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).
read more ..
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Guest
Jan 16, 2023
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149
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Complex Numbers
Describe all solutions to zw - 3w - 2iw + 4z = 7iw + 5w + 11iz - 13 + 15i
where z and w are complex numbers.
Guest
Jan 16, 2023
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177
1
help plz
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 a freshman is elected. Everyone on the junior varsity swim
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Guest
Jan 16, 2023
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193
1
+18
Need Help!
When 1-isqrt3 is converted to the exponential form re^i(theta), what is theta?
I'm not sure about the answer to this.. can someone explain how to do it?
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fluufye
Jan 16, 2023
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188
1
help geo
In the diagram below, D is a point on segment CE such that segments AD and BE are parellel and point A is not on segment BC. Line segments AD and BC intersect at point P.
If angle CAD = 67 degrees, then what is angle
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Guest
Jan 16, 2023
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161
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Counting
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 to three of the skaters if exactly one of
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Guest
Jan 16, 2023
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162
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help algebra
Let a and b be real numbers such that a + b = 4 and a^4 + b^4 = 16.
(a) Find all possible values of ab
(b) Find all possible values of a + b
(c) Find all possible values of a and b
Guest
Jan 16, 2023
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212
2
Help please! Let alpha and beta be angles such that P is the terminal point for alpha and Q is the terminal point for beta.
Let alpha and beta be angles such that P is the terminal point for alpha and Q is the terminal point for beta.
read more ..
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Guest
Jan 16, 2023
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192
1
help with factoring
We are looking to factor 23x^2 + kx - 5 + x^2 - 3. Some values of k allow us to factor it as a product of linear binomials with integer coefficients. what are all such values of k?
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Guest
Jan 16, 2023
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189
1
help plz
Find the number of paths from A to I, if each step must be in a right-ward direction. (For example, one possible path is A C D E F G H I)
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Guest
Jan 16, 2023
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188
1
counting
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 if he goes through that point. In how many ways can Marvin reach his
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Guest
Jan 16, 2023
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165
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Paths
Find the number of paths from P to Q, where each step is to the right or up.
Guest
Jan 16, 2023
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