All Questions ⁺⁰237737 Questions

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206

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Probability

A point in space (x,y,z) is randomly selected so that $-1\le x \le 1$,$-1\le y \le 1$,$-1\le z \le 1$. What is the probability that $x+y+z\le 1$?

Guest Oct 18, 2022

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193

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Inequality

Suppose 1/2 + 1/3 + 1/4 + ... + 1/x > 2.
What is the smallest possible value for x?

Guest Oct 18, 2022

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251

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wdasd

Guest Oct 18, 2022

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239

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CONIC

an archeologist found the remains of an ancient wheel, which she then placed on a grid. if an arc of the wheel passes through A(-7, 0), (-3 4) and (7, 0), locate the center of the wheel, and the standard equation of the circle defining its boundary. read more ..

Guest Oct 18, 2022

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200

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math

Guest Oct 18, 2022

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214

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Decimals

Let $y = 0.(\overline{123}) + (\overline{345})$. When y is written out as a repeating decimal, what is the sum of the digits in a single repeating period? (In other words, what is the sum of the digits covered by the repeat bar?)

Guest Oct 18, 2022

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211

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help probability

I have two cubes such that, on each cube, three faces are painted red and three faces are painted white. If I roll each of the cubes once, what is the probability that they will land such that there are two red faces up?

Guest Oct 18, 2022

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276

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Decimals

Write $\frac{99}{100} (0.\overline{42})$ as a fully simplified fraction.

Guest Oct 18, 2022

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270

2

m^-4 X m^-2

Guest Oct 18, 2022

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291

4

geometry

Two 3 * 4 rectangles overlap. Find the area of the overlapping region (which is shaded).

(Link for picture: https://ibb.co/0q5hhpm) read more ..

Guest Oct 18, 2022

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238

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geometry

An equilateral triangle is constructed on each side of a square with a side length of 2. The four outer vertices are then joined to form a large square. Find the side length of the large square.

Guest Oct 18, 2022

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276

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Decimals

Write the repeating decimal $0.\overline{515}$ as a fully simplified fraction.

Guest Oct 18, 2022

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258

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fractions

What is the 2007th digit to the right of the decimal point in the decimal expansion of 4/23?

Guest Oct 18, 2022

Oct 17, 2022

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188

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Function

Let
f(x) = x^2 - 4 if x < 7
f(x) = x + 13 if x >= 7
What is f(f(f(17)))? read more ..

Guest Oct 17, 2022

-1

205

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Function

For any real number k, the graph of y = 7x^2 + kx - 4k + kx^2 - 5x + 6k passes through a fixed point (a,b). Find (a,b).

Guest Oct 17, 2022

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257

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Algebra

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

Guest Oct 17, 2022

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247

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Graphing question

Given that (3,15) is on the graph of y = f(x), find a point that must be on the graph of y +7 = 1/(f(x)^2 - 7). Express your answer as an ordered pair (a,b) where a and b are real numbers.

Guest Oct 17, 2022

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376

8

+349

ase helple

Explain why it takes longer to cook a large cheese pizza (400g) than it does to cook a small cheese pizza (150g). Justify your answer with information on the relationship between the mass and thermal energy needed to change the temperature of an object. read more ..

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hipie Oct 17, 2022

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283

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Graphing

What is the smallest distance between the origin and a point on the graph of y = \frac{1}{\sqrt{2}} (x^2 - 13)

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Guest Oct 17, 2022

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243

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triangles

Let ABC be a triangle, and let its angle bisectors be AD, BE, and CF, which intersect at I. If DI = 3, BD = 4, and BI = 8, then find the area of triangle ABC.

Guest Oct 17, 2022

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270

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number theory

For how many positive integers n less than 100 is 5^n+8^{n+1}+11^{n+2}+5^{n+2} a multiple of 6?

Guest Oct 17, 2022

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273

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complex numbers

Simplify (1-3i)(1-i)(1+i)(1+2i)(1-4i).

Guest Oct 17, 2022

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246

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Probability

The faces of an octahedral die are labeled with digits 1 through 8. What is the probability, expressed as a common fraction, of rolling a sum of 15 with a pair of such octahedral dice?

Guest Oct 17, 2022

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258

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algebra

If I give my brother 5 dollars, then we will have the same amount of money. If instead, he gives me 14 dollars, then I'll have three times as much money as he will have. How much money does my brother currently have (in dollars)?

Guest Oct 17, 2022

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