All Questions ⁺⁰230627 Questions

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207

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Algebra

Given x_1,x_2 are the real roots of x^2-2mx+(m^2+4m+5)=0, please determine the minimum value of (x_1)^2+(x_2)^2.

Guest Dec 21, 2021

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238

1

Probability

Ryan has 3 red lava lamps and 3 blue lava lamps. He arranges them in a row on a shelf randomly, then turns 3 random lamps on. What is the probability that the leftmost lamp on the shelf is red?

Guest Dec 21, 2021

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250

1

Probability

A Senate committee consists of 5 Republicans, 6 Democrats, and 2 Independents. A subcommittee of 3 members is randomly chosen. What is the probability that the subcommittee consists of 1 Republican and 2 Democrats?

Guest Dec 21, 2021

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230

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Complex Numbers

Find the value of x and the value of y if (x + iy)(2 + i) = 3 - i such that x ∈ R, y ∈ R.

Guest Dec 21, 2021

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243

4

сколько числится число пи?

сколько числится число пи?

Guest Dec 21, 2021

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304

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Digit problem

Find the absolute value of the difference of single-digit integers A and B such that
ABA_6 + 411_6 = 1215_6
Express your answer in base 6.

Guest Dec 21, 2021

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294

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Counting

How many three-digit positive integers exist, all of whose digits are 2's and/or 5's and/or 8's?

Guest Dec 21, 2021

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302

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Counting

How many 3-letter words can we make from the letters A, B, C, and D, if we are allowed to repeat letters, and we must use the letter A at least once, and the letter B at least once?

Guest Dec 21, 2021

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276

2

Factor

Completely factor the following expression:
(6a^3 + 92a^2 - 7) - (-7a^3 + 5a^2 - 7)

Guest Dec 21, 2021

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278

2

Rate question

The junior senator can do a labyrinth in 50 minutes. The senior senator can do a labyrinth in 30 minutes. Working together, how many minutes would it take them to work their way through 12 labyrinths?

Guest Dec 21, 2021

+2

398

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+874

Trig Identity Proof

MathProblemSolver101 Dec 21, 2021

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286

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Geometry

In triangle ABC, AB =10 and AC =17. Let D be the foot of the perpendicular from A to BC. If BD:CD = 2:5, then find AD.

Guest Dec 21, 2021

+1

325

5

+47

ANOTHER question

A train is 1/4 miles long and travels at a constant speed of 8 miles per hour. A boy on a bicycle, traveling at a constant speed of 11 miles per house, rides on a road next to the track. From the moment he passes the rear of the train, it takes him m minutes read more ..

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bruhlmao Dec 21, 2021

+2

2

446

6

+47

question

A 10x10x10 cube is painted red on all faces and then cut into ten 10x10x1 slices. Each slice is then cut into twenty-five 2x2x1 blocks. how many of the 250 blocks have exactly one face painted red?

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bruhlmao Dec 21, 2021

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226

1

Geometry

In parallelogram ABCD, AB=125cm, AD=132cm, and the length of diagonal AC is 32cm. The area of the parallelogram, in cm2, is

Guest Dec 21, 2021

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232

1

Word problem

I traveled from Vertex Valley to Fraction Falls last week. I completed 3/5 of the distance in the morning and 2/3 of the remaining distance in the afternoon. I still had 6 miles to travel. What is the distance from Vertex Valley to Fraction Falls? read more ..

Guest Dec 21, 2021

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280

1

help counting triangles

All the sides of a triangle have integer length. The perimeter of the triangle is $60$, and the triangle is isosceles. How many such non-congruent triangles are there? (A 3-4-5 triangleis is considered congruent to a 3-5-4 triangle because read more ..

Guest Dec 21, 2021

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236

2

Urgent Function Help!!

(a) Let $f : (-\infty,0) \cup (0,\infty) \to \mathbb{R}$ be defined by
\[f(x) = x - \frac{1}{x}.\]Show that $f$ has no inverse function.
(b) Let $g : (0,\infty) \to \mathbb{R}$ be defined by
\[g(x) = x - \frac{1}{x}.\]Show that $g$ has an read more ..

Guest Dec 21, 2021

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359

5

+47

Checking answer

problem: The arithmetic mean of five positive integers is 30. What is the greated possible value of their median?

My answer: i got 48 since i did 1+1+48+50+50. can anyone verify??
read more ..

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bruhlmao Dec 21, 2021

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289

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help

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

Guest Dec 21, 2021

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256

1

Probability

A drawer contains 3 white balls and 6 black balls. Two balls are drawn out of the box at random. What is the probability that they both are black?

Guest Dec 21, 2021

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335

2

Help ASAP!

The vertices of triangle ABC lie on the sides of equilateral triangle DEF, as shown. If CD = 3, CE = BD = 2, and

Guest Dec 21, 2021

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274

1

Probability

Ben rolls four fair 10-sided dice. What is the probability that exactly three of the dice show a prime number?

Guest Dec 21, 2021

Dec 20, 2021

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295

2

geometry

In the figure shown, segment AB is parallel to segment YZ. If AZ = 42 units, BQ = 8 units, and QY = 28 units, what is the length of segment QZ?

read more ..

Guest Dec 20, 2021

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216

1

Geometry

A square sheet of paper has area 6 cm^2. The front is white and the back is black. When the sheet is folded so that point A rests on the diagonal as shown, the visible black area is equal to the visible white area. What is the visible black area, read more ..

Guest Dec 20, 2021

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