All Questions ⁺⁰231345 Questions

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132

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algebra

What is the value of x such that 4x = 8? Express your answer as a common fraction.

Guest Jul 15, 2022

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132

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geometry

A sheet of 8-inch by 10-inch paper is placed on top of a sheet of 8-inch by 11-inch paper, as shown. What is the area of the region of overlap in square inches?

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Guest Jul 15, 2022

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133

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Probability

Each face of a cube is painted randomly one of the colors red, orange, yellow, green, blue or purple. What is the probability that the cube has at least one pair of opposite faces that are the same color? Express your answer as a decimal to the nearest read more ..

Guest Jul 15, 2022

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269

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help geometry

A point X lies in the interior of rectangle ABCD. If AX = 11 cm, BX = 11 cm and CX = 10 cm, what is DX? Express your answer in simplest radical form.

Guest Jul 15, 2022

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199

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Algebra

Tanzi and Maeve each have brand new 1200 mL bottles of soap. They use soap at different constant rates. When Tanzi's bottle is completely empty, she asks Maeve to add soap from Maeve's bottle, which is still two-thirds full. How many milliliters of read more ..

Guest Jul 15, 2022

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206

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system

If 3a + b + c = -3, a+3b+c = 9, a+b+3c = -6 then find abc.

Guest Jul 15, 2022

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206

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Expected value

We have a fair coin. Suppose that we win 2 dollars if we flip a heads on a coin toss, but lose 2 dollars if we flip tails. What is the expected value, in dollars, of our winnings after one flip?

Guest Jul 15, 2022

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214

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quadratic

The solutions of x(3x-7) = -3 + 2x may be expressed in the form m + sqrt n / p and m - sqrt n / p , where m, n, and p have a greatest common divisor of 1. Find m+n+p.

Guest Jul 15, 2022

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195

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Algebra

Let f(x) = 1/(x + 2) for x > -2, and f(x) = 1/(x + 2) for x < -2. (f(x) is not defined at x = -2 .) Which integer is not in the range of f(x)?

Guest Jul 15, 2022

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208

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conic sections

A hyperbola has one of its foci at (3, 2), and the vertex of the hyperbola closer to this focus is at (4, 2). One of the asymptotes of the hyperbola has slope sqrt(2). Find the x-coordinate of the center of the hyperbola.

Guest Jul 15, 2022

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188

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right triangles

A certain right triangle with integer side lengths has perimeter 180. What is its area?

Guest Jul 15, 2022

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206

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help geometry

Determine the value of ? in the figure below.

Guest Jul 15, 2022

Jul 14, 2022

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221

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Polygon

Find the value of y if the measures of the interior angles of a convex decagon are 5yº, 5yº, 8yº, 8yº, 9yº, 9yº, 9yº, 9yº, 9yº, and 9yº.

Guest Jul 14, 2022

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206

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+60

math

Ali and Ben each have a sum of money. If Ali gives $6.20 to Ben, he will have 1/5 of Ben's amount. If Ben gives $12.80 to Ali, he will have 3 times as much money as Ali. How much money does Ben have?

PCGeorge Jul 14, 2022

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213

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Complex numbers

Express (4-5i)(-5+8i) in the form a+bi , where a and b are integers and i^2=-1.

Guest Jul 14, 2022

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229

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+60

help

PCGeorge Jul 14, 2022

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190

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Number theory

Find the smallest positive a such that 5a = 7 (mod 11)

Guest Jul 14, 2022

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140

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counting

In how many ways can 36 be written as the product a*b*c*d*e, where a, b, c, d, and e are positive integers such that a <= b <= c <= d <= e?

Guest Jul 14, 2022

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144

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triangle

Determine the missing side length.

Guest Jul 14, 2022

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140

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triangle

Determine the missing side length.

Guest Jul 14, 2022

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184

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antiderivative of (x+1)(e^x)

how do you find the antiderivative of (x+1)(e^x)

Guest Jul 14, 2022

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134

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Coordinates

Let the line p be the perpendicular bisector of A = (24, 7) and B = (8, 4).$ Given that AB meets p at C = (x, y), what is 2x - 4y?

Guest Jul 14, 2022

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143

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complex roots

Each solution to x^2 + 5x + 8 = -14 can be written in the form a + bi where a and b are real numbers. What is a + b^2?

Guest Jul 14, 2022

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140

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Graphing question

The graph of y = f(x) is shown below, in red. Find the equation that corresponds to the blue graph.
Enter your answer in the form "y = ...".

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Guest Jul 14, 2022

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228

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+248

A parabola $ax^2+bx+c$ contains the points $(-1,0)$, $(0,5)$, and $(5,0)$. Find the value $100a+10b+c$.

A parabola $ax^2+bx+c$ contains the points $(-1,0)$, $(0,5)$, and $(5,0)$. Find the value $100a+10b+c$.

Blizzardshine Jul 14, 2022

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