All Questions ⁺⁰238163 Questions

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Geometry

Points $L$ and $M$ lie on a circle $\omega_1$ centered at $O$. The circle $\omega_2$ passing through points $O,$ $L,$ and $M$ is drawn. If the measure of arc $LM$ in circle $\omega_1$ is $90^\circ,$ and the radius of $\omega_1$ is 1, then find read more ..

ABJeIIy Apr 16, 2024

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112

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Algebra

Find the equation whose graph is shown below. Write your answer in standard form.
(Standard form is $Ax+By = C$, where $A$ is positive, and $A$, $B$, and $C$ are integers with greatest common divisor $1$.) read more ..

ABJeIIy Apr 16, 2024

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Algebra

A line passes through the points A, B, and C. Find y.
A = (-7,2), B = (8,-14), C = (10,y)

ABJeIIy Apr 16, 2024

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Algebra

Find all values of $a$ that satisfy the equation
\[\frac{a}{3} + 1 = \frac{a + 3}{a} - \frac{a^2 + 2}{a}.\]

ABJeIIy Apr 16, 2024

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102

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Algebra

Five times a number is divided by $2$ more than that number. If the result is $6,$ then what was the original number?

ABJeIIy Apr 16, 2024

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Algebra

If I give my brother $5$ dollars, then we will have the same amount of money. If instead he gives me $10$ dollars, then I'll have twice as much money as he will have. How much money does my brother currently have (in dollars)?

ABJeIIy Apr 16, 2024

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84

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Science

Make a cone out of a piece of paper, make some measurements and estimates. Remember that
Measure the mass of your cone.
Measure the cross-sectional area of your cone.
Measure the terminal velocity read more ..

ABJelly Apr 16, 2024

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Science

If we wanted to measure terminal velocity, we could see how far something falls, measure how long that takes, and divide to get the terminal velocity.
On the other hand, that method would fail if the object were still accelerating up to its terminal read more ..

ABJelly Apr 16, 2024

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107

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Algebra

Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to $214$ times the largest of the seven integers. What is the smallest integer that Pearl wrote down?

ABJeIIy Apr 16, 2024

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117

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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 read more ..

ABJeIIy Apr 16, 2024

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Geometry

Point D is the midpoint of median \overline{AM} of triangle ABC. Point E is the midpoint of \overline{AB}, and point T is the intersection of \overline{BD} and \overline{ME}. Find the area of triangle AMC if [ABC] =180.

ABJeIIy Apr 16, 2024

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Inequality

Solve the inequality x^3 + 4x > 5x^2 + 28x + x^3. Write your answer in interval notation.

ABJeIIy Apr 16, 2024

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Science

Stars, like the sun cannot run on chemical energy. If they did, we estimated that they would burn through all their fuel within a few thousand years.
Stars run on nuclear energy. In the sun, this is almost entirely the energy given off when hydrogen read more ..

ABJelly Apr 16, 2024

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Science

German physicist Max Planck built a theory of black body radiation and used it to help start the field of quantum mechanics.
Planck's theory predicted:
In this formula, is the peak frequency of radiation coming read more ..

ABJelly Apr 16, 2024

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Compute

ABJelly Apr 16, 2024

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Series

ABJelly Apr 16, 2024

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Counting

Find the number of ways of choosing three circles below, so that no two circles are next to each other.

ABJeIIy Apr 16, 2024

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104

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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?

ABJeIIy Apr 16, 2024

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41

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Counting

There is a group of five children, where two of the children are twins. In how many ways can I distribute $3$ identical pieces of candy to the children, if the twins must get an equal amount of candy?

ABJeIIy Apr 16, 2024

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120

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help geometry

Trapezoid $ABCD$ is inscribed in the semicircle with diameter $\overline{AB}$, as shown below. Find the radius of the semicircle. Find the area of ABCD.
PQDC is a square. read more ..

ABJeIIy Apr 16, 2024

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Geometry

In the diagram below, SR = PQ = 20 and RT:TS = 2:5. Find UV.

ABJeIIy Apr 16, 2024

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Geometry

In triangle PQR, M is the midpoint of \overline{QR}. Find PM.

ABJeIIy Apr 16, 2024

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106

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Geometry

Point $D$ is the midpoint of median $\overline{AM}$ of triangle $ABC$. Point $E$ is the midpoint of $\overline{AB}$, and point $T$ is the intersection of $\overline{BD}$ and $\overline{ME}$. Find the area of triangle $BET$ if $AB = 20$, $AC = 20$, and BC read more ..

ABJeIIy Apr 16, 2024

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Fill in the blanks to make a true equation:

Fill in the blanks to make a true equation:

ABJelly Apr 16, 2024

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