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260 Questions
128 Answers
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Quadratic equations
The height (in meters) of a baseball follows a trajectory given by $h(t) = -4.9t^2 + 14t - 0.4$ at time $t$ (in seconds). As an improper fraction, for how long is the baseball above a height of $4$ meters?
maximum
08.08.2023
-2
96
1
+834
Functions
Which of the following diagrams represent graphs of functions?
Enter the letters of the diagrams that represent functions, separated by commas.
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08.08.2023
-2
118
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+834
Domain
What is the domain of the function $$u(x) = \frac{1}{\sqrt{|x|}}?$$ Express your answer in interval notation.
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maximum
08.08.2023
-2
151
2
+834
Pentagon
Can someone draw a diagram for this? It doesn't seem possible.
All sides of the convex pentagon $ABCDE$ are of equal length, and $\angle A = \angle C = 90^\circ$. What is the degree measure of $\angle E$?
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maximum
08.08.2023
-2
98
2
+834
Factoring
The expression $6x^2 + 17x + 5 - 5x^2 - 11x$ can be written in the form $(Ax+1)(Bx+5)$ where $A$ and $B$ are integers. What is the value of $AB$?
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maximum
08.08.2023
-3
120
3
+834
Help me plz
For a particular peculiar pair of dice, the probabilities of rolling $1,$ $2,$ $3,$ $4,$ $5,$ and $6$ on each die are in the ratio $1:2:3:4:5:6$. What is the probability of rolling a total of $2$ on the two dice?
ElectricPavlov
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maximum
07.08.2023
-2
125
1
+834
Problem with square
Inside a square with side length $10$, two congruent equilateral triangles are drawn such that they share one side and each has one vertex on a vertex of the square. What is the total area of the two equilateral triangles?
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07.08.2023
-1
133
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help with perimeter
Help I need the perimeter and Im suck
In the diagram, what is the perimeter of polygon $PQRST$?
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maximum
07.08.2023
-2
69
2
+834
Circles
How do you solve this?
A circle has an area of $M\text{ cm}^2$ and a circumference of $N\text{ cm}$. If $\dfrac{M}{N}=\dfrac{1}{2}$, what is the radius of the circle, in cm?
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maximum
07.08.2023
-1
66
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+834
Equation
Find the product of all real values of $r$ for which $\frac{1}{2x}=\frac{r-x}{2}$ has exactly one real solution.
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07.08.2023
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Do not post AoPS homework.
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20.01.2025
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