All Questions ⁺⁰237749 Questions

Jul 6, 2025

0

14

1

+12

help with simple multi-variable calc/physics concept

In my derivation for the tangential normal expression for an acceleration vector, I got that acceleration equals:
However, I also learned it can be expressed as:
How are these two expressions read more ..

albertthesav Jul 6, 2025

Jul 3, 2025

0

1

3

1

+1301

Math

In the diagram below, ABCD is a square, DE = EF = FG = 2, GH = 1, HB = 5, and \angle DEF = \angle EFG = \angle FGH = \angle GHB = 60^\circ. Find the area of the shaded region.

AnswerscorrectIy Jul 3, 2025

0

6

5

1

+1301

Math

In triangle ABO, M is the midpoint of \overline{AB}. Points C, D, and N lie on line segments $\overline{AO},$ $\overline{BO},$ and $\overline{MO}$ extended, respectively, so that $DO = BO,$ $NO = MO,$ and $CO = AO.$ If $K$ is the area of triangle read more ..

AnswerscorrectIy Jul 3, 2025

+1

4

3

2

+1301

Math

Franklin the Fly lives at one corner of a cube of side length 1. He doesn't like to wander too far from home; in fact, Franklin is only willing to travel to a point on the cube if he can reach it by crawling a distance of at most \sqrt{5} along the read more ..

AnswerscorrectIy Jul 3, 2025

+1

3

2

+10

Pls help with this question

Five positive integers are written around a circle so that no two or three adjacent number have a sum
divisible by 3. In this collection the number of numbers divisible by 3 is .
(A) 0 (B) 1 (C) 2 (D) 3

Brilliance Jul 3, 2025

Jul 2, 2025

+1

5

2

+215

Hard Math Question!

The equation
holds for exactly two real values of and their sum is . Find

xud33 Jul 2, 2025

Jun 24, 2025

+1

31

1

+5

In how many ways can I choose 2 cooks on a backpacking trip with 8 people if any of the 8 people may be cooks?

In how many ways can I choose 2 cooks on a backpacking trip with 8 people if any of the 8 people may be cooks?

mercurym999 ●

ansonh138 Jun 24, 2025

Jun 21, 2025

+1

30

1

+24

complex number roots

Find all values of the real number $a$ so that the four complex roots of \[z^4 - 6z^3 + 11az^2 - 3(2a^2 + 3a - 3) z + 1 = 0\]
form the vertices of a parallelogram in the complex plane. Enter all the values, separated by commas.
I read more ..

mercurym999 Jun 21, 2025

Jun 20, 2025

+1

3

26

2

+987

Geometry

What is the distance between the points (\cos 37^{\circ}, \sin 37^{\circ}) and (\cos 127^{\circ}, \sin 127^{\circ})?

booboo44 Jun 20, 2025

0

2

26

5

+987

Geometry

Find an acute angle A such that \sin 4A = \sin A + \sin 2A. Express your answer in degrees.

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booboo44 Jun 20, 2025

Jun 19, 2025

+1

31

3

+24

complex number geometry help

In the complex plane, let $S$ be the set of complex numbers $z$ such that \[\left| z + \frac{1}{z} \right| \le 2.\]
Find the area of $S.$
Thanks

mercurym999 Jun 19, 2025

0

4

27

3

+1301

Counting

Find the number of arithmetic sequences such that:
* The arithmetic sequence contains three terms
* All the terms are integers in \{0, 1, 2, \dots, 10\}
* The sum of the terms is 9.

Bosco ●●●

AnswerscorrectIy Jun 19, 2025

0

27

2

+15

Geometery

A cube has side length . Its vertices are alternately colored black and purple, as shown below. What is the volume of the tetrahedron whose corners are the purple vertices of the cube? (A tetrahedron is a pyramid with a triangular base.) read more ..

Ibrahim097YT Jun 19, 2025

Jun 17, 2025

Jun 12, 2025

0

26

4

+120

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

0

2

28

1

+4

Given the function y = f(x) = x2.

Given the function y = f(x) = x2.
a) From the graph of the function y = f(x) (Figure 4), indicate the increasing and decreasing intervals of the given function.
b) Calculate the derivative of f'(x) and examine the sign of f'(x).
c) read more ..

molisa Jun 12, 2025

+1

27

5

+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.

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ilrelyt Jun 12, 2025

Jun 11, 2025

+2

39

2

+20

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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