All Questions ⁺⁰237739 Questions

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186

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Math

Becca has a biscuit recipe that uses 2/3 of a tablespoon of salt for every 3/4 of a cup of flour. In order to have enough biscuits for her family that is visiting, Becca is making a batch of biscuits using 3 cups of flour and _____ tablespoons of read more ..

Guest Jan 6, 2023

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157

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binomials

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

Guest Jan 6, 2023

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170

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Triangles

Triangle ABC is a right triangle with angle BAC= 90 degrees and angle B > angle . Suppose AP is an altitude of the triangle, AQ is an angle bisector of the triangle, and AR is a median of the triangle, and angle PAQ = 18 degrees. If P read more ..

Guest Jan 6, 2023

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169

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algebra

Fill in the blanks:

(3 + sqrt(5) + sqrt(2) - 1)^4 = __ + __ sqrt(5) + __ sqrt(2)

Guest Jan 6, 2023

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237

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Geometrical Counting Problem

A regular octahedron is made up of eight equilateral triangles, each with side length one unit, as shown below. An ant starts at the top vertex, walks along the edges of the triangles without ever traversing the same edge twice, and ends at the top vertex. read more ..

Guest Jan 6, 2023

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175

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help plz

There is a group of five children, where two of the children are twins. How many ways can I distribute 10 identical pieces of candy to the children, if the twins must get an equal amount of candy?

Guest Jan 6, 2023

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176

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Probability question

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 Jan 6, 2023

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182

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Distributions

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

(b) In how many ways can you distribute 4 indistinguishable balls among 5 distinguishable boxes?

Guest Jan 6, 2023

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211

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Counting

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 to color the five squares?

Guest Jan 6, 2023

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181

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help with binomials

Fill in the blanks to make the equation true (Each blank should contain a positive integer.)

\binom{n}{k} = \binom{n - 2}{k} + \binom{n - 2}{k - 1} + \binom{n - 1}{k} + \binom{n - 1}{k - 1} + \binom{n}{k - 1} + \binom{n}{k + read more ..

Guest Jan 6, 2023

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202

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difficult math competition problem

Given the expression (n^2−9)/(n2−4), for how many positive integers n from 1 to 2016, inclusive, is the GCF of the numerator and denominator greater than 1?

ive started by factoring into (n-3)(n+3)/(n-2)(n+2) but have no idea how to go from read more ..

Guest Jan 6, 2023

Jan 5, 2023

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166

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binomials

For nonnnegative integers a and b, where a >= 2 and b >= 2, simplify
binom{a + b}{2} + binom{2a + b}{2} + binom{a + 2b}{2} - binom{a - b}{2}

Guest Jan 5, 2023

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157

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help algebra

A magician makes potions by combining maple syrup from a magical maple tree with ordinary water. The magician starts with a large supply of two potions: a red potion, which is 50% magical syrup by volume (and the rest is just water), and blue potion, which read more ..

Guest Jan 5, 2023

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174

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Probability

A standard six-sided die is rolled twice. What is the probability that the product of the rolls is 3 or 12?

Guest Jan 5, 2023

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160

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Functions

The functions f and h are defined as follows:
f(x) = (x + 5)/(x - 7) and h(x) = (x + 5)(x - 7).

Explain why the functions f and h are not the same function. read more ..

Guest Jan 5, 2023

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169

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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 Jan 5, 2023

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208

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Rewrite 7 100 × 2 10 as a single fraction and write the answer

Rewrite 7 100 × 2 10 as a single fraction and write the answer

Guest Jan 5, 2023

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171

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Function

Let F(x) be the real-valued function defined for all real x except for x = 1 and x = 2 and satisfying the functional equation
F(x) + F((2x - 3)/x) = x.
Find the function F(x) satisfying these conditions. Write F(x) as read more ..

Guest Jan 5, 2023

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214

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Where is the ! button on my calculator

Come on math geeks. You guys should be able to help me!

Guest Jan 5, 2023

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231

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Algebra

Let a and b be real numbers such that a + b = 4 and a^4 + b^4 = 16.
(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 Jan 5, 2023

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188

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Digits after the decimal point.

What are the first 10 digits after the decimal point in the expansion of this expression: [(sqrt (3) + sqrt(2)]^2002 ?. Thank you.

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Guest Jan 5, 2023

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226

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help plz

Find the constant term in the expansion of (2z - 1/(z*sqrt(z)) + 1)^4.

Guest Jan 5, 2023

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181

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Angle bisector

Let AB be a diameter of a circle, and let C be a point on the circle such that AC=8 and BC=4 The angle bisector of ACB intersects the circle at point M Find CM.

Guest Jan 5, 2023

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178

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nnnnn

Guest Jan 5, 2023

+1

219

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Circles

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

Guest Jan 5, 2023

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