All Questions ⁺⁰235585 Questions

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Algebra

The swimming pool can be filled in 40 hours using the medium hose. With the large hose, it will take hours instead. If we use both hoses (without any impact on waterflow rate), how long does it take to fill the pool? Round your answer to the nearest read more ..

Guest Mar 6, 2022

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284

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Function problem

Let
f(n) = n^2 - 2 if n < 0
f(n) = 2n - 28 if n >= 0
read more ..

Guest Mar 6, 2022

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182

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help with quadratic

If n is a constant and if there exists a unique value of m for which the quadratic equation x^2 + mx + (2m+n) = 0 has one real solution, then find n.

Guest Mar 6, 2022

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172

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Geometry problem

In the diagram, G is the centroid of triangle ABC. If [ABC] = 72, then what is ?

Guest Mar 6, 2022

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300

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+31

Geometry

Trapezoid is inscribed in a circle, with . If arc GH is 70 degrees, arc EH is degrees and arc FG is degrees, where x > 0, fin arc EPF, in degrees.

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asiandude Mar 6, 2022

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184

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Algebra

Find a and r such that a+ar+ar^2+ar^3+ar^4+ar^5=378, a + r = 12096.

Guest Mar 6, 2022

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301

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Geometry

In the diagram, O is the center of a circle with radii OP=OQ=15. What is the perimeter of the shaded region?

Guest Mar 6, 2022

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283

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Number Theory

The prime factorization of 2007 is 3^2*223. How many ordered pairs of positive integers (x,y) satisfy the equation xy^2=2007?

Guest Mar 6, 2022

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209

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Geometry

The tangent to the circumcircle of triangle WXY at X is drawn, and the line through W that is parallel to this tangent intersects at Z. If XY = and WX = find YZ.

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Guest Mar 6, 2022

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178

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Coordinates

Points A, B, and C are given in the coordinate plane. There exists a point Q and a constant k such that for any point P,
PA^2 + PB^2 + PC^2 = 3*PQ^2 + k.

If A = (4,-1), B = (8,-2), and C = (1,-11), then find the constant read more ..

Guest Mar 6, 2022

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179

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geometry

Let ABC be a triangle. Angle bisectors AD, BE, and CF meet at I. If DI = 3, BD = 4, and BI = , then find the area of triangle ABC.

Guest Mar 6, 2022

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285

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help counting

There are 88 students at Beast Academy. The number of students with fur is twice as large as the number of students with fangs. Half of the students with fangs also have fur. If students have neither fur nor fangs, how many students have fur? read more ..

Guest Mar 6, 2022

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207

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Passwords

A website requires the user to choose a password with 6 letters and 3 numbers in any order. Each letter or digit, except two letters "w" and "z" and digit "0", may be used only once. How many different passwords are possible? Note: "w", "z" and "0" may read more ..

Guest Mar 6, 2022

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207

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partial fractions

Enter (A,B,C) in order below if A, B, and C are the coefficients of the partial fractions expansion of (2x^2 + 3x - 5)/(x(x^2 - 1)) = A/x + B/(x - 1) + C/(x + 1).

Guest Mar 6, 2022

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239

1

Plz Help

Two unit squares are chosen at random, without replacement! from the 4*4 grid shown. what is the probability that the squares do not share a side? Express your answer as a common fraction

Guest Mar 6, 2022

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288

2

Graphing problem

Find the smallest distance between the origin and a point on the parabola y = x^2 - 2.

Guest Mar 6, 2022

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185

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geometry

In the diagram, K, O and M are the centers of the three semi-circles. OC = 32 and CB = ,
What is the area of the semi-circle with center k?

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Guest Mar 6, 2022

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256

2

3d Shapes Problem

A rectangular prism has a total surface area of 56. Also, the sum of all the edges of the prism is 60. Find the length of the diagonal joining one corner of the prism to the opposite corner.

Guest Mar 6, 2022

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209

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trapezoid

Let ABCD be a trapezoid with bases AB and CD. Let AD = 5 and BC = 7, and let P be a point on side CD such that CP/PD = 7/5. If Q is a point on AB such that PQ is parallel to AB, then find AQ/QB.

Guest Mar 6, 2022

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195

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A transformation rotates about the origin by

A transformation rotates about the origin by an angle of 45 degrees counter-clockwise, then dilates (with center at the origin) by a factor of FInd the Matrix of this transformation.

Guest Mar 6, 2022

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316

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math problem

What is the smallest positive integer that can be added to the sum of consecutive integers
1 + 2 + 3 + ... + 327 + 328 + 329
so that the resulting total is divisible by 5?

Guest Mar 6, 2022

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336

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help inequality

Find all real numbers s such that -2(s + 7) > 4s + 8. Please give your answer in interval notation.

Guest Mar 6, 2022

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