All Questions ⁺⁰237455 Questions

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Algebra

Let x_1, x_2, \dots, x_{100} be real numbers. If
x_1 + 2x_2 + \dots + 100x_{100} = 1,
then find the minimum value of x_1/1 + x_2/2 + \dots + x_{100}/100.

coIinqiu Jun 12, 2025

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+3

Help plz enter explaination

What is the area, in square units, of a regular hexagon inscribed in a circle whose area is square units? Express your answer in simplest radical form.

ilrelyt Jun 12, 2025

Jun 11, 2025

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+17

Algebra

Arrange the following numbers in increasing order (smallest first, biggest last):
1.
2.
3. read more ..

Chiccen Jun 11, 2025

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+1231

Counting

Consider the set
S = {1, 2, 3, 4, 5, 6, 7, 8, 12, 13, 14, 15, 16, 17, 18, 23, 24, ..., 12345678},
which consists of all positive integers whose digits strictly increase from left to right, and the digits are from 1 to 8. This set is read more ..

AnswerscorrectIy Jun 11, 2025

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+1231

Counting

Find the number of ways filling in a 4 \times 4 grid, such that
* Each cell contains a 0 or a 1.
* The sum of the numbers in each row and each column is at least 2.

An example is shown below.
0110 read more ..

AnswerscorrectIy Jun 11, 2025

Jun 10, 2025

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5

+5

How many 6-digit sequences have a digit that appears at least 5 times?

How many 6-digit sequences have a digit that appears at least 5 times?

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Beecomen1983 Jun 10, 2025

Jun 9, 2025

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Jun 2, 2025

May 29, 2025

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+833

Geometry

In pentagon ABCDE, \overline{AC} bisects \angle BCE and $\overline{AD}$ bisects $\angle BDE.$ If $\angle CBD = 30^\circ$ and $\angle CED = 60^\circ,$ then find $\angle CAD,$ in degrees.

cooIcooIcooI17 May 29, 2025

May 28, 2025

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+707

Hello Guys!

Not sure if anyone remembers me anymore; I randomly remembered about this app and the good times I had on it asking for help and helping others with their math, so just wanted to say hi :D hope everyone is doing well! and if you are reaeding this, have read more ..

Nirvana May 28, 2025

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+178

Geometry

Circle O has radius 5. Segment $\overline{AS}$ has length $5$ and is tangent to circle $O$ at $A$. If $P$ is the projection of A onto OS, find length PS.

HumanBemg May 28, 2025

May 27, 2025

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+466

Geometry

Two runners start at vertices A and B simultaneously and run clockwise around the perimeter of square ABCD at the same speed. A drone flies so that it is always at the midpoint of the two runners. What is the minimum distance between the two runners? read more ..

bIueb3rry May 27, 2025

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+343

Geometry

Let x and y be real numbers such that x^2 + y^2 = 2x + 4y. Find the largest possible value of x + y.

jaekg May 27, 2025

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+810

Geometry

Two black lines pass through the origin, as shown below. If their slopes are 2 and 8, then find the slope of the red line that bisects the acute angle between these lines.

crimefightingvigiI May 27, 2025

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+1231

Geometry

What is the sine of an acute angle whose cosine is \frac{5}{7}?

NotThatSmart ●●

AnswerscorrectIy May 27, 2025

May 26, 2025

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+8

In the diagram below, we have angle ABC= angle CAB= angle DEB= angle BD. Find CA.

In the diagram below, we have angle ABC= angle CAB= angle DEB= angle BD. Find CA.

greenflag May 26, 2025

May 25, 2025

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+1231

Algebra

If x and y are integers such that 12^2 \cdot 18^3 = xy, find x+y.

AnswerscorrectIy May 25, 2025

May 24, 2025

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+16

In the figure, point is the center of the circle, the measure of angle RTB is 28 degrees, and the measure of angle ROB is three times the

In the figure, point is the center of the circle, the measure of angle RTB is 28 degrees, and the measure of angle ROB is three times the measure of angle SOT. What is the measure of minor arc RS , in degrees?
I read more ..

Dragononweb2.0calc May 24, 2025

May 23, 2025

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+9

Probability

You have a standard deck of 52 cards.
(a) What is the probability that when you draw 5 cards at random, you draw a straight (any 5 cards in order)? Order doesn't matter (e.g. A-2-3-4-5 is the same as 3-5-A-4-2.)
(b) read more ..

serenitypie May 23, 2025

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