All Questions ⁺⁰237643 Questions

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195

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help with graph

What is the smallest distance between the origin and a point on the graph of y = 1/2*(x^2 - 8)?

Guest Jan 12, 2023

0

236

3

+20

Consider the polynomial function

Consider the polynomial function

ouroboros Jan 12, 2023

0

185

1

help counting

Find the number of solutions to
x_1 + x_2 + x_3 + x_4 + x_5 + x_6 + x_7 + x_8 + x_9 + x_10 <= 2
in nonnegagive integers.

Guest Jan 12, 2023

0

209

2

How many four-digit integers are even perfect squares and also perfect cubes?

How many four-digit integers are even perfect squares and also perfect cubes?

Guest Jan 12, 2023

Jan 11, 2023

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176

0

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.

(a) What is the expected value of the number shown when we draw a single slip of read more ..

Guest Jan 11, 2023

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153

0

help probability

Triangle XYZ is equilateral, with O as its center. A point P is chosen at random. Find the probability that P is closer to point O than to any of the side lengths.

Guest Jan 11, 2023

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153

0

Probability

Right triangle XYZ has legs of length XY = 12 and YZ = 6. Point D is chosen at random within the triangle XYZ. What is the probability that the area of triangle XYD is at most 20?

Guest Jan 11, 2023

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150

0

Graphing

The graph of y = f(x) is shown below.

For each point (a,b) that is on the graph of y = f(x), the point ((a - 7)/2, (3b + 1)/4) is plotted, forming the graph of another function y = g(x). As an example, the point read more ..

Guest Jan 11, 2023

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156

0

geometry

The two circles below are externally tangent. A comon external tangent intersects line PQ at R. Find QR.

Guest Jan 11, 2023

+1

133

2

Probability

My sock drawer contains two red socks, two white socks, and two blue socks. For three days in a row, I pull out two socks out of my sock drawer at random. What is the probability that I get matching socks on all three days?

Guest Jan 11, 2023

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165

0

Complex numbers

Describe all solutions to zw - 3w - 2iw + 4z = 7iw + 5w + 11iz - 13 + 15i
where z and w are complex numbers.

Guest Jan 11, 2023

0

214

1

jjj

Guest Jan 11, 2023

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167

0

Distributions

In how many ways can you distribute 10 indistinguishable balls among 8 distinguishable boxes, if at least one of the boxes must be empty?

Guest Jan 11, 2023

0

171

0

seqeunce

Cai writes down the list of positive integers, excluding squares and cubes and all perfect powers. His sequence starts
2, 3, 5, 6, 7, 10, 11, ...
What is the 100th term in Cai's list?

Guest Jan 11, 2023

0

1

204

1

Probability

Four points W, X, Y, and Z are chosen at random on a circle. Find the probabiity that WX > YZ.

Guest Jan 11, 2023

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156

0

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 read more ..

Guest Jan 11, 2023

0

154

0

Probability

A stick is broken at two points, 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 Jan 11, 2023

0

157

0

plz help

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 read more ..

Guest Jan 11, 2023

0

194

1

Counting with digits

Find the number of six-digit numbers, where the sum of the digits is divisible by 8.

Guest Jan 11, 2023

0

164

0

help with counting

Find the number of ways of arranging the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 in a row so that the product of any two adjacent numbers is even or a mutliple of 3

Guest Jan 11, 2023

0

153

0

help probability

We define a bow-tie quadrilateral as a quadrilateral where two sides cross each other. An example of a bow-tie quadrilatera is shown below. distinct points are chosen on a circle. We draw all chords that connect two of these read more ..

Guest Jan 11, 2023

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