All Questions ⁺⁰237738 Questions

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171

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Counting

Need to count all the possibles

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 read more ..

Guest Feb 3, 2023

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195

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Probability

I have questions on this

Valeria has three coins, each of which has a probability of 1/2 of coming up heads. On her first turn, she flips all three coins. If all three come up heads, then she stops. Otherwise, for her second read more ..

Guest Feb 3, 2023

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182

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Counting

Need help counting this

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 Feb 3, 2023

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239

2

plz help asasp

Evaluate (1+sqrt(3)i)^12 using DeMoivre's theorem. plz show all work

Guest Feb 3, 2023

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171

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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 Feb 3, 2023

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174

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Geometry

Help with 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 3, 2023

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180

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Digits

Can anyone help plz

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

Guest Feb 3, 2023

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177

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Distributions

How do you solve

(a) In how many ways can you distribute 4 distinguishable balls among 3 indistinguishable boxes?
read more ..

Guest Feb 3, 2023

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202

1

Algebra

Help how do I use rates here

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 read more ..

Guest Feb 3, 2023

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178

1

-x-

why is a negative times a negative a positive?

Guest Feb 3, 2023

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185

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Algebra

Help how do you use series

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 3, 2023

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192

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slope

what is (-6,6) and (0,2) as y=mx+b?

Guest Feb 3, 2023

Feb 2, 2023

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168

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Geometry

Need help with geo

In the diagram below, angle PQR = angle PRQ = angle STR = angle TSR, RQ = 8, and SQ = 2. Find PQ.

Guest Feb 2, 2023

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173

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Counting

Difficult counting this

A debate team consists of 5 freshmen and 4 sophomores. (Everyone is distinguishable.) In how many ways can they stand in line, so at least two of the sophomores are standing next to each other, read more ..

Guest Feb 2, 2023

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183

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Expected value

How to solve this

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 read more ..

Guest Feb 2, 2023

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217

2

Help

How many ways are there to put 4 balls in 3 boxes if the balls are not distinguishable but the boxes are?

Guest Feb 2, 2023

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169

0

Counting

Need help with counting

We call a number cozy if every digit in the number is either even or next to an even digit. For example, a number is cozy if every digit in the number is either a 2 or next to a 2. For read more ..

Guest Feb 2, 2023

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182

0

what is pi

Guest Feb 2, 2023

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213

2

Help now

How many ways are there to put 5 balls in 3 boxes if the balls are not distinguishable but the boxes are?

Guest Feb 2, 2023

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189

0

Probability

Need major help with probability

A bag contains five white balls and three black balls. Your goal is to draw two white balls.
read more ..

Guest Feb 2, 2023

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169

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Counting

I have trouble counting

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 2, 2023

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177

0

Counting

How do you count

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 take read more ..

Guest Feb 2, 2023

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172

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Counting

Plz help with 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 read more ..

Guest Feb 2, 2023

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169

4

Help!!!

I run a book club with n people, not including myself. Every day, for 100 days, I invite 4 members in the club to review a book. What is the smallest positive integer n so that I can avoid ever having the exact same group of 4 members over all 100 days?
read more ..

Guest Feb 2, 2023

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194

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Parametric Equations

Plz help with parametric equations

The position of a particle is given by the parametric equations
x = 1 + sin pi*t - cos pi*t read more ..

Guest Feb 2, 2023

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