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236378 Questions
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1
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+178
Algebra
Let A, B, and C be constants so that
\frac{1}{x^3-2x^2-5x+9}=\frac{A}{x+5}+\frac{B}{x-3} + \frac{C}{(x - 3)^2}
holds for all real numbers $x$ other than $-5$ and $3.$ What is $A$?
cwimie
Jan 11, 2025
0
1
0
+178
Algebra
The equation of the line below can be expressed in the form
\frac{x}{a} + \frac{y}{b} = 1.
Find a.
cwimie
Jan 11, 2025
0
1
0
+4
How to Get Free CoD: Black Ops 6 Bot Lobbies: Everything You Need to Know
How to Get Free CoD: Black Ops 6 Bot Lobbies: Everything You Need to Know
The Call of Duty franchise has been a fan favorite for years, offering action-packed multiplayer modes that have kept players coming back for more. Black Ops 6 (or CoD: BO6),
read more ..
Myramillan
Jan 11, 2025
Jan 10, 2025
0
1
1
+178
Algebra
Let $x$ and $y$ be real numbers such that $x^2 + y^2 = 4x + 12y.$ Find the largest possible value of $x + y.$ Give your answer in exact form using radicals, simplified as far as possible.
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cwimie
Jan 10, 2025
0
1
0
+178
Algebra
For an integer n, the inequality
x^2 + nx + 15 < -21 - 7x + x^2
has no real solutions in x. Find the number of different possible values of n.
cwimie
Jan 10, 2025
Jan 9, 2025
0
1
0
+60
Algebra
Let
f(x) = \sqrt[3]{x + \sqrt[3]{x}}
Find the largest three-digit value of x such that f(x) is an integer.
hemiiI8675
Jan 9, 2025
0
1
0
+60
Counting
There is a group of five children, where two of the children are twins. In how many ways can I distribute $8$ identical pieces of candy to the children, if the twins must get at least one piece of candy each?
hemiiI8675
Jan 9, 2025
0
1
2
+60
Counting
In how many ways can you distribute $8$ indistinguishable balls among $2$ distinguishable boxes, if at least one of the boxes must be empty?
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hemiiI8675
Jan 9, 2025
0
1
0
+60
Counting
Find the number of ways of choosing three circles below, so that no two circles are next to each other.
hemiiI8675
Jan 9, 2025
Jan 8, 2025
0
1
0
+549
Geometry
In triangle $ABC$, $M$ is the midpoint of $\overline{BC}$, and $N$ is the midpoint of $\overline{AC}$. The perpendicular bisectors of $BC$ and $AC$ intersect at a point $O$ inside the triangle. If $\angle AOB = 90^\circ$, then find the measure
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crimefightingvigiI
Jan 8, 2025
0
1
1
+549
Geometry
In triangle $ABC$, let $I$ be the incenter of triangle $ABC$. The line through $I$ parallel to $BC$ intersects $AB$ and $AC$ at $M$ and $N$, respectively. If $AB = 5$, $AC = 5$, and $BC = 8$, then find the area of triangle $AMN$.
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crimefightingvigiI
Jan 8, 2025
0
1
1
+60
Algebra
Let a be a real number such that a - \frac{1}{a} = 1. Compute a^3.
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hemiiI8675
Jan 8, 2025
0
1
1
+60
Algebra
Find the value of
\cfrac{1}{1 + \cfrac{1}{4 + \cfrac{1}{1 + 2}}
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hemiiI8675
Jan 8, 2025
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