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+0
237749 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
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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.
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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
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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
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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
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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
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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
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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
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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})?
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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
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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
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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.)
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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.
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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)
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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.
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Chiccen
Jun 11, 2025
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