bIueb3rry

107 Questions
13 Answers

0

1

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+450

Counting

Find the number of subsets of
S = \{1, 3, 8, 17, 30, 36, 47, 58\},
so that the sum of the elements in the subset is less than 20. (Note that for the empty subset, we take the sum of the elements as 0.)

bIueb3rry 19.04.2025

0

2

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+450

Counting

Find the number of subsets of
S = \{1, 3, 8, 17, 30, 36, 47, 58\},
so that the sum of the elements in the subset is a multiple of 5. (Note that for the empty subset, we take the sum of the elements as 0.)

bIueb3rry 19.04.2025

0

2

0

+450

Counting

Find the number of paths from A to B in the grid below, so that
* Each step is down or to the right.
* The path cannot pass through any point more than once.

An example path is shown.
The grid is 3 by 3, with mehr ..

bIueb3rry 17.04.2025

0

2

0

+450

Counting

Find the number of ways of filling in the squares of a 3 \times 3 grid so that:
* Each square contains a 0 or a 1.
* The sum of the numbers in each row and each column is at most 1.
An example is shown below.

bIueb3rry 17.04.2025

0

2

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+450

Counting

How many ordered pairs of positive integers (m,n) satisfy \text{lcm}[m,n] = 360 and \gcd(m,n) = 360?

bIueb3rry 17.04.2025

0

2

0

+450

Counting

A bag contains red and blue tiles. Each tile has a number from the set \{-1, 0, 1\} written on it. I want to arrange 7 of these tiles in a row, so that the numbers on any three consecutive tiles sum to 3. In how many ways can this be done, assuming that mehr ..

bIueb3rry 17.04.2025

0

2

0

+450

Geometry

Find sin B.
BD = 15, CD = 10, AC = 6

bIueb3rry 04.04.2025

0

2

0

+450

Geometry

Find AC in the diagram to the nearest integer.
(You will need to use a calculator. Make sure to use "Degree" instead of "Radian" as the angle unit when computing trigonometric functions.)
AB = 31, angle A = 90 degrees, mehr ..

bIueb3rry 04.04.2025

0

1

1

+450

Geometry

In \triangle PQR, we have \angle P = 90^\circ, PQ=3, and QR = 5. Find \tan R.

bIueb3rry 04.04.2025

0

8

0

+450

Algebra

Find the foci of the ellipse shown below.
Enter your answer as a list of ordered pairs separated by commas.
Points on the ellipse are (-4,9), (-7,2), (-5,2), (-7, 1)

bIueb3rry 01.03.2025

0

5

0

+450

Algebra

The real numbers x and y satisfy
x^2 + y^2 - 8x + 6y + 23 = 0.
Find the largest possible value of x + y.

bIueb3rry 01.03.2025

0

5

0

+450

Algebra

Let f(x) be a polynomial. Find the remainder when f(x) is divided by x(x - 1)(x - 2), if f(0) = 0, f(1) = 1, and f(2) = 2.

bIueb3rry 01.03.2025

0

8

0

+450

Algebra

Let f(x) be a polynomial. Find the remainder when f(x) is divided by x(x - 1)(x - 2), if f(0) = 0, f(1) = 1, and f(2) = 4.

bIueb3rry 01.03.2025

0

12

0

+450

Algebra

Find all values of x satisfying
sqrt(4x - 3) + 40/sqrt(4x - 3) = 12x + 14.

bIueb3rry 22.02.2025

0

10

0

+450

Algebra

What is the domain of the function f(x) = sqrt(6x - 3 + x^2)?

bIueb3rry 22.02.2025

+1

3

1

+450

Algebra

What is the domain of the function f(x) = sqrt(5 - 8x + x^2)?

bIueb3rry 22.02.2025

0

5

1

+450

Algebra

What is the range of the function f(x) = sqrt(5 - 8x + x^2)?

bIueb3rry 22.02.2025