All Questions ⁺⁰237691 Questions

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152

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Counting

Help with grid

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 read more ..

Guest Feb 21, 2023

+1

168

3

+70

hulp

A rectangular building is meters by meters. A dog is tied to a rope that is meters long, and the other end is tied to the midpoint of one of the long sides of the building. Find the total area of the region that the dog can reach (not including the inside read more ..

ItsFree Feb 21, 2023

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157

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Analytic geo

Points A, B, and C are given in the coordinate plane. There exists a point Q and a constant k such that for any point P,
PA^2 + PB^2 + PC^2 = 3PQ^2 + k
If A = , B = , and C = , then find the constant k.

Guest Feb 21, 2023

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160

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Inequality

Prove that if a, b, and c are positive real numbers, then
sqrt(a^2 + ab + b^2) + sqrt(a^2 + ac + c^2) + sqrt(b^2 + bc + c^2) >= sqrt(3) (sqrt(ab) + sqrt(ac) + sqrt(bc))
When does equality occur?

Guest Feb 21, 2023

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211

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Counting

I need help here plz

Three adults and three children are to be seated at a circular table. In how many different ways can they be seated if each child must be next to at least one adult? (Two seatings are considered read more ..

Guest Feb 21, 2023

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160

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Counting

Sam writes down the numbers 1, 2, 3, ..., 99

(a) How many digits did Sam write, in total?
(b) Sam chooses one of the digits written down, at random. What is the probability that Sam chooses a 0? read more ..

Guest Feb 21, 2023

0

158

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Complex numbers

help need help with this

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

Guest Feb 21, 2023

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163

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Algebra

Need to work with variables

Let a and b be real numbers such that a^3 + 3ab^2 = 679 and a^3 - 3ab^2 = 673. Find a - b.

Guest Feb 21, 2023

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161

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round to nearest 100th

round to nearest 100th

Guest Feb 21, 2023

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184

2

Probability

How this work

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 read more ..

Guest Feb 21, 2023

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185

0

Probability

I need the answer to this

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 Feb 21, 2023

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164

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Algebra

Factor (ab + ac + bc)^3 - a^3*b^3.

Guest Feb 21, 2023

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195

1

geometry

In triangle ABC, the angle bisector of angle BAC meets AC at D. If angle BAC = 60, angle ABC = 60, and AD = 24, then find the area of triangle ABC.

Guest Feb 21, 2023

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182

1

Binomials

Find the positive integer n such that the expansion of (4x - 7y)^n contains a term of the form cx^2*y.

Guest Feb 21, 2023

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166

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Counting

I have to count these for class

There are 18 padded chairs around a circular table, and the chairs are numbered from 1 through 18 . How many ways can five people take their seats, so that no two people are adjacent? read more ..

Guest Feb 21, 2023

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163

0

Algebra

Help plz help

Find the coefficient of u^2 v^9 in the expansion of (2u - 3v + u^2 - v^2)^9. read more ..

Guest Feb 21, 2023

0

195

6

PLEASE HELP URGENT - it is due soon.

Carissa the chessplayer is a very, very slow walker. In fact, she walks at 100 meters per hour when walking uphill, 120 meters per hour when walking across flat ground, and 150 meters per hour when walking downhill. One day, Carissa walks across read more ..

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Guest Feb 21, 2023

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