All Questions ⁺⁰237827 Questions

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173

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Polynomial

Find a polynomial f(x) of degree 5 such that both of these properties hold:
* f(x) is divisible by x^3
* f(x) + 1 is divisible by (x + 1)(x + 2)(x + 3)
read more ..

Guest Feb 17, 2023

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205

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Sums

Let
A = 1/(1*3) + 1/(3*5) + 1/(5*7) + ...
and
B = 1/(2*4) + 1/(4*6) + 1/(6*8) + ... read more ..

Guest Feb 17, 2023

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197

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Probability

In the SuperLottery, three balls are drawn (at random, without replacement) from white balls numbered from 1 to 12, and one SuperBall is drawn (at random) from red balls numbered from 13 to 20. When you buy a ticket, you choose three numbers from 1 to 12, read more ..

Guest Feb 17, 2023

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154

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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 Feb 17, 2023

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151

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Geometry

Help plz 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 17, 2023

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192

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Counting

Help plz 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 Feb 17, 2023

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162

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Precalc

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 17, 2023

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167

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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 17, 2023

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199

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Counting

How to solve this

Catherine rolls a 6-sided die five times, and the product of her roll is . How many different sequences of rolls could there have been? (The order of the rolls matters.)

Guest Feb 17, 2023

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210

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Expected value

What do I do here help me

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.
read more ..

Guest Feb 17, 2023

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199

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Counting

What do I do here

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 colorings are read more ..

Guest Feb 17, 2023

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186

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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?
(c) What is the sum of all the read more ..

Guest Feb 17, 2023

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160

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Binomial

Need help with binomial

The function f(n) satisfies
binom(2n)n - binom(2n + 1)(2n) = f(n) *binom(2n + 1)(n + 1) read more ..

Guest Feb 17, 2023

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172

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ixl write quadratic funtion

A parabola opening up or down has vertex (0,1) and passes through (–6,–8). Write its equation in vertex form.
Simplify any fractions.

Guest Feb 17, 2023

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198

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You and two friends are splitting a pizza. You take`\frac{1}{3}`of the pizza. How much of the pizza is left?

You and two friends are splitting a pizza. You take 1/3 of the pizza. How much of the pizza is left?

Guest Feb 17, 2023

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175

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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 17, 2023

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199

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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 17, 2023

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201

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Counting

Miyu is giving out 9 identical chocolates to her 7 friends, including Dhruv. All possible distributions are equally likely. What is the probability that Dhruv gets exactly 2 chocolates?

Guest Feb 17, 2023

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218

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halp

Guest Feb 17, 2023

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211

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how to find the number of combinations and factorials

how to find the number of combinations and factorials

Guest Feb 17, 2023

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204

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Algebra

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

Guest Feb 17, 2023

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189

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Sequence

Help how to do this

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 Feb 17, 2023

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