All Questions ⁺⁰238233 Questions

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199

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Probability

Can anyone help with this?

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 read more ..

Guest Feb 11, 2023

0

217

1

Probability

A box contains 24 tiles. Each tile has certain properties:
Each tile is made of wood or plastic.
Each tile is red, yellow, or blue.
Each tile is a triangle, square, pentagon, or circle.
There is exactly one tile for each combination read more ..

Guest Feb 11, 2023

0

227

1

Counting

help how do I do this

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 read more ..

Guest Feb 11, 2023

0

222

1

Counting

Need help with this

A baking club wants to form an executive committee. There are people in the baking club, including mark. In how many ways can the baking club form an executive committee with people? read more ..

Guest Feb 11, 2023

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131

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Geometry

In tetrahedron ABCO, angle AOB = angle AOC = angle BOC = 90^\circ. A cube is inscribed in the tetrahedron so that one of its vertices is at O, and the opposite vertex lies on face ABC. Let OA = 1, OB = 1, OC = 1. Show that the read more ..

Guest Feb 11, 2023

0

183

1

Inequality

Plz help prove this 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 read more ..

Guest Feb 11, 2023

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229

1

Algebra

Help this is hard

Let S be the set of all real numbers of the form
a1/3 + a2/3^2 + a3/3^3 + ....
where a_i \in {0, 1, 2} for all i. read more ..

Guest Feb 11, 2023

0

239

1

Algebra

Help I need algebra help

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 180 meters per hour read more ..

Guest Feb 11, 2023

0

220

3

Counting

I don't know how to count

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 read more ..

Guest Feb 11, 2023

0

218

1

Counting

Plz I need help

Let n be a positive integer. Let k be a positive integer.
read more ..

Guest Feb 11, 2023

0

220

1

Binomial Theorem

How to solve this

For some real number a and some positive integer n, the first few terms in the expansion of (1 + ax)^n are read more ..

Guest Feb 11, 2023

Feb 10, 2023

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261

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Counting

(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.)

(b) Find the number of ways that Magnus can give out 20 identical stickers to 5 of read more ..

Guest Feb 10, 2023

0

221

1

System

Let a and b be real numbers such that a + b = 4 and a^4 + b^4 = 62
(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 Feb 10, 2023

+3

240

3

+132

Why is this flagged?

Is there a specific theorem to prove a^2 + b^2 > ab? Sorry this seems really stupid

Saphia1123 Feb 10, 2023

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228

1

+6

Help pls tysm

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 = (4, -1), B = (-3, 1), and C = (5, -3), then find the constant read more ..

Absrnz Feb 10, 2023

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3

199

2

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?

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?

read more ..

Guest Feb 10, 2023

0

238

1

Counting

Need help plz

At my office, 16 people own cats, people own dogs, and people own both cats and dogs. How many people own a cat or a dog?
read more ..

Guest Feb 10, 2023

-1

222

3

Counting

Help plz with this

There are 97 students in South High School. South High School offers only Chinese and Spanish. There are more students in Chinese than in Spanish, and every student takes at least one language. If students read more ..

Guest Feb 10, 2023

0

232

1

Counting

Plz help I don't know.

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 read more ..

Guest Feb 10, 2023

0

225

1

Exponential functions

Help the class didn't cover this

Each graph below is the graph of an exponential function of the form ka^x (where a > 0). Match each graph with the correct option.

Guest Feb 10, 2023

0

225

1

Hello urgent

In how many ways can 6 distinct beads be placed on a bracelet? (Note that two arrangements are the same if one can be rotated or reflected to produce the other.)

Guest Feb 10, 2023

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230

1

help

3.1 * 10^3 + 4.3 * 10^3 but write answer in scientific notation

Guest Feb 10, 2023

0

225

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Interest Rates

Help I don't know the formula

Chuck deposits $2000 into a bank account that compounds annually at an interest rate of . Assuming there are no other transactions, what will the balance be after years, in dollars? read more ..

Guest Feb 10, 2023

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