crimefightingvigiI

90 Questions
4 Answers

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Number Theory

You have a total supply of $1000$ pieces of candy, and an empty vat. You also have a machine that can add exactly $52$ pieces of candy per scoop to the vat, and another machine that can remove exactly $39$ pieces of candy with a different scoop from read more ..

crimefightingvigiI Nov 30, 2024

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5

1

+370

Algebra

Let a, b, c, be the numbers 1, 2, 3, in some order. Find the largest possible value of ab + 2ac + 3bc.

crimefightingvigiI Nov 23, 2024

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4

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+370

Algebra

Find the number of integers n that satisfy 64 <= n^2 <= 100 + 20n.

crimefightingvigiI Nov 23, 2024

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4

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Algebra

Find the number of ordered pairs (x,y) of real numbers such that (2x^2 + 4x + 2)(3y^2 - 6y + 3) = 0.

crimefightingvigiI Nov 23, 2024

0

5

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+370

Algebra

If y = x/(x^2 + 2x + 1) and x is any real number, then what is the sum of the maximum and minimum possible values of y?

crimefightingvigiI Nov 23, 2024

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4

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Algebra

Determine all of the following for $f(x) \cdot g(x)$, where $f(x) = -x^2+ 8x - 5$ and $g(x) = x^3 - 11x^2 + 2x$.
Leading term
Leading coefficient
Degree read more ..

crimefightingvigiI Nov 23, 2024

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6

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+370

Algebra

Let $x$ and $y$ be complex numbers. If $x + y = 2$ and $x^3 + y^3 = 5$, then what is $x^2 + y^2$?

crimefightingvigiI Nov 23, 2024

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6

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+370

Algebra

Let $x$ and $y$ be real numbers such that $x^2 + y^2 = 4x + 12y.$ Find the largest possible value of $x + y.$ Give your answer in exact form using radicals, simplified as far as possible.

crimefightingvigiI Nov 22, 2024

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4

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+370

Algebra

A line and a circle intersect at A and B. Find the coordinates of the midpoint of \overline{AB}.
The ilne is y = 3x - 2, and the circle is (x - 4)^4 + (y - 5)^2 = 68.

crimefightingvigiI Nov 22, 2024

0

4

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+370

Number Theory

What is the smallest prime divisor of 5^{19} + 7^{13} + 23?

crimefightingvigiI Nov 22, 2024

+370

0

The area of trapezoid PQRS is 18.

crimefightingvigiIDec 11, 2024

+370

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Angle YXZ is 45 degrees.

crimefightingvigiIDec 11, 2024

+370

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The answer is b/(2a).

crimefightingvigiIDec 11, 2024

+370

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The area of the strip is 120/7.

crimefightingvigiIDec 10, 2024