All Questions ⁺⁰237785 Questions

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255

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Number Theory

Suppose that x is an integer that satisfies the following congruences
3 + x = 2^2 (mod 3^3)
5 + x = 3^2 (mod 5^3)
7 + x = 4^2 (mod 7^3) read more ..

Guest Jul 25, 2022

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300

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Probability

Two cards are drawn at random from a standard deck of 52 cards. What is the probability that they are both 8's?

Guest Jul 25, 2022

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273

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geometry

In right triangle ABC, AC = 8, AB = 15, and BC = 17. Square ADEF is inscribed in the square. Find the side length of square ADEF.

Guest Jul 25, 2022

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317

2

+580

Matrices

Hello, I am having a hard time figuring this out.

Let's say A is a matrix that projects vectors onto .
read more ..

Vinculum Jul 25, 2022

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237

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Algebra

Find the sum of all integral values of c with c <= 25 for which the equation y = x^2 - 17x - c has two rational roots.

Guest Jul 25, 2022

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301

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Algebra

Calculate sqrt(60x)*sqrt(12x)*sqrt(63x)*sqrt(42x). Express your answer in simplest radical form in terms of x. Note: When entering a square root with more than one character, you must use parentheses or brackets. For example, you should enter sqrt(14) as read more ..

Guest Jul 25, 2022

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221

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Algebra

A 40-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 4 times as long as the first piece. What is the length of the first piece?

Guest Jul 25, 2022

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292

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polygon

Find the value of y if the measures of the interior angles of a convex decagon are 5yº, 5yº, 8yº, 8yº, 9yº, 9yº, 9yº, 9yº, 9yº, and 9yº.

Guest Jul 25, 2022

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214

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Complex numbers

Express (4-5i)(-5-5i) in the form a+bi , where a and b are integers and i^2=-1.

Guest Jul 25, 2022

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251

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help algebra

Solve for y if 9^y = 3*6*27*4/(81*2)

Guest Jul 25, 2022

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269

1

Algebra

(__ - ___) / (___ + ____)*(___) = 59/7

1 3 5 7 9
2 4 6 8 read more ..

Guest Jul 25, 2022

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205

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Algebra

Fill in the blanks to make the equation true.

___^3 * ____ * _____^2 = x^5*y^6
read more ..

Guest Jul 25, 2022

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205

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Algebra

Simplify m*n^3^2/(2*m*n).

Guest Jul 25, 2022

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188

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Algebra

Fill in the blank to make the equation true.

13^5*13^3*__ = 13^17/13^8

Guest Jul 25, 2022

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292

1

Congruence

Find the smallest positive a such that 5a = 1 + 3a (mod 11)

Guest Jul 25, 2022

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253

1

Number Theory

Find the remainder when 2^70 + 3^70 is divied by 18

Guest Jul 25, 2022

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240

1

Number theory

Find the remainder when you divide 3^{1000} by 23.

Guest Jul 25, 2022

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252

1

Algebra

Five times a number is divided by 7 more than the original number. If the result is 3, then what was the original number?

Guest Jul 25, 2022

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313

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Geometric probability

Let ABC be an equilateral triangle. A point P is chosen at random inside triangle ABC. Find the probability that P is closer to vertex A than to vertex B.

Guest Jul 25, 2022

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275

1

Algebra

Let a and b be the roots of the equation 2x^2 - 7x + 2 = 0. Find (a - 1) + (b - 1).

Guest Jul 25, 2022

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297

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Math

Preston buys 5 packs of stickers to put on his notebooks. Each pack has 6 stickers. Preston splits all the stickers evenly among 3 notebooks. How many stickers does Preston put on each notebook?

Guest Jul 25, 2022

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223

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quadratic

Each solution to x^2 + 5x + 8 = -14 can be written in the form a + bi where a and b are real numbers. What is a + b^2?

Guest Jul 25, 2022

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211

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algebra

What is the sum of all possible solutions of 9x/13 + 13/(9x) = 250/117*x^2?

Guest Jul 25, 2022

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204

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algebra

Find all the solutions to
(x+4)/(x+5) = (x-5)/(2x) + 3/(2x).

Guest Jul 25, 2022

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260

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Number Theory

Find all pairs of prime numbers (a,b) such that a^b*b^a+1 is prime

Guest Jul 25, 2022

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