All Questions

229

+1634

Stop posting random answers!!!

It is quite annoying when someone posts a question, and a random guest posts a random answer with no explanation. Remember, regardless of the answer being right or wrong, we always want to see how you got to your answer. In fact, most of the time the answer read more ..

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proyaop Jan 9, 2023

179

Algebra

Arrange the following numbers in increasing order (smallest first, biggest last):

A = 2*1/2*4*1/6 read more ..

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Guest Jan 9, 2023

197

Geometry help

The two circles below are externally tangent. A comon external tangent intersects line PQ at R. Find QR.

asy]
unitsize(0.3 cm);
pair A, B, C, D, E;
A = (0,0);
B = (8,0); <#> C = (20,0); <#> D = intersectionpoint(Circle(A,5), read more ..

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Guest Jan 9, 2023

191

Angles

Triangle ABC is a right triangle with angle BAC= 90 degrees and angle B > angle . Suppose AP is an altitude of the triangle, AQ is an angle bisector of the triangle, and AR is a median of the triangle, and angle PAQ = 18 degrees. If P read more ..

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Guest Jan 9, 2023

241

trig question

In the diagram below, what are AC and BC?

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Guest Jan 9, 2023

163

binomials

(a) Simplify (n/k)/(n/(k - 1))

(b) For some positive integer n, the expansion of (1 + x)^n has three consecutive coefficients a, b, c that satisfy 1:8:28. What must n be?

Guest Jan 9, 2023

198

math problems

Let n be a positive integer. Let k be a positive integer.

(a) Using a counting argument, show that C(n - 1, k - 1) + C(n - 1, k) = C(n,k).
read more ..

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Guest Jan 9, 2023

172

Graph question

The graph of y = f(x) is shown below.

For each point (a,b) that is on the graph of y = f(x), the point ((a - 7)/2, (3b + 1)/4) is plotted, forming the graph of another function y = g(x). As an example, the point read more ..

Guest Jan 9, 2023

208

Algebra

Fill in the blanks:

(3 + sqrt(5) + sqrt(2) - 1)^4 = __ + __ sqrt(5) + __ sqrt(2)

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Guest Jan 9, 2023

+21

236

+1307

Coin tossing

A coin is tossed 10 times. How many different sequences of tosses could there have been, if at least 8 of the tosses were heads?

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dolphinia Jan 9, 2023

Jan 8, 2023

+21

200

+1307

Symmetry

George is planning a dinner party for three other couples, his wife, and himself. He plans to seat the four couples around a circular table for 8, and wants each husband to be seated opposite his wife. How many seating arrangements can he make, if rotations read more ..

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dolphinia Jan 8, 2023

228

Trent told his friends it would take him 90 minutes to mow the lawn. It really took him 100 minutes. What was his percent error?

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Guest Jan 8, 2023

-2

172

I'm confused. How do I do this?

Problem:

The two circles below are externally tangent. A common external tangent intersects line at Find .
read more ..

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Guest Jan 8, 2023

197

Factoring

We are looking to factor 23x^2 + kx - 5 + x^2 - 3. Some values of k allow us to factor it as a product of linear binomials with integer coefficients. what are all such values of k?

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Guest Jan 8, 2023

191

Counting

Find the number of positive integers that satisfy the following conditions:
* Each digit is a 1 or a 2 or a 3
* The sum of the digits is 10

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Guest Jan 8, 2023

174

help probability

Valeria has three coins, each of which has a probability of 1/2 of coming up heads. On her first turn, she flips all three coins. If all three come up heads, then she stops. Otherwise, for her second turn, she flips any coins that came up tails. read more ..

Guest Jan 8, 2023

193

Algebra

Let a and b be real numbers such that a^3 + 3ab^2 = 679 and a^3 - 3ab^2 = 673. Find a - b.

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Guest Jan 8, 2023

402

+10

Write in the form $a \sqrt b$, where $a$ and $b$ are positive integers: \[\frac{1}{\sqrt{2}} +\frac{3}{\sqrt{8}} + \frac{6}{\sqrt{32}}.\]

pls help

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amogusmathhelp Jan 8, 2023

196

counting

(a) In how many ways can you distribute 4 distinguishable balls among 6 indistinguishable boxes?

(b) In how many ways can you distribute 4 indistinguishable balls among 5 distinguishable boxes?

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Guest Jan 8, 2023

156

Function

Let F(x) be the real-valued function defined for all real x except for x = 1 and x = 2 and satisfying the functional equation
F(x) + F((2x - 3)/x) = x.
Find the function F(x) satisfying these conditions. Write F(x) as read more ..

Guest Jan 8, 2023

209

Expected value

The grid below is made up of line segments, like the line segment in red.

There are a number of paths that go from A to B in the grid, where every step goes to the right or up. If we choose a line segment at random, then read more ..

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Guest Jan 8, 2023

180

Probability

Right triangle XYZ has legs of length XY = 12 and YZ = 6. Point D is chosen at random within the triangle XYZ. What is the probability that the area of triangle XYD is at most 20?

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Guest Jan 8, 2023

190

Probability

Triangle XYZ is equilateral, with O as its center. A point P is chosen at random. Find the probability that P is closer to point O than to any of the side lengths.

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Guest Jan 8, 2023

163

Probability

Four points W, X, Y, and Z are chosen at random on a circle. Find the probabiity that WX > YZ.

Guest Jan 8, 2023

162

Expected value

Suppose we have a bag with 10 slips of paper in it. Eight slips have a 3 on them and the other two have a 5 on them.

(a) What is the expected value of the number shown when we draw a single slip of read more ..

Guest Jan 8, 2023

All Questions ⁺⁰237643 Questions

Stop posting random answers!!!

Algebra

Geometry help

Angles

trig question

binomials

math problems

Graph question

Algebra

Coin tossing

Symmetry

Trent told his friends it would take him 90 minutes to mow the lawn. It really took him 100 minutes. What was his percent error?

I'm confused. How do I do this?

Factoring

Counting

help probability

Algebra

Write in the form $a \sqrt b$, where $a$ and $b$ are positive integers: \[\frac{1}{\sqrt{2}} +\frac{3}{\sqrt{8}} + \frac{6}{\sqrt{32}}.\]

counting

Function

Expected value

Probability

Probability

Probability

Expected value

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