All Questions ⁺⁰237740 Questions

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Number Theory

What integer n satisfies 0 <= n < 101 and 100n = 72 + 2 + 1 (mod 101)?

Guest Jun 8, 2022

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303

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Geometry

In square units, what is the area of the gray triangle?

Guest Jun 8, 2022

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plz help

y=-2+5sin( (pi)/12(x-2))/ what the max and min value?

Guest Jun 8, 2022

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Function

The domain of the equation y = 3x/(x^2 - 6x + 4) is the set of all real numbers with the exception of the values x = A and x = B. What is A + B?

Guest Jun 8, 2022

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Domain

If h(x) is a function whose domain is [-8,8], and g(x) = h(x^2), then the domain of g(x) is an interval of what width?

Guest Jun 8, 2022

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3d geometry

A right pyramid has a square base with side length 10 cm. Its peak is cm above the center of its base. What is the total surface area of the pyramid, in square centimeters?

Guest Jun 8, 2022

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207

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domain

Suppose the domain of f is (-1,1). Define the function j by j(x) = f(x - 1). What is the domain of j?

Guest Jun 8, 2022

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208

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help trapezoid

As shown in the diagram, PQ is the median of trapezoid ABCD where AB = 25 inches and CD = 30 inches. Find XY in inches.

read more ..

Guest Jun 8, 2022

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365

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+166

Algebra - Functions

Define . That is to say, is the "fractional part" of . For example, if you were to expand a positive number as a decimal, is the stuff after the decimal point. For example and
Now, read more ..

RainbowSquirrel53 Jun 8, 2022

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207

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Domain

Find the domain of the real-valued function
\[f(x)=\sqrt{-6x^2+11x-4+x^2-5x+7}.\]
Give the endpoints in your answer as common fractions (not mixed numbers or decimals).

Guest Jun 8, 2022

Jun 7, 2022

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Complex numbers

Karl was attempting to calculate economic figures. He found the following equation to be true:
fp-w=10000
If f=5+i and w=5+125i, what is p?

Guest Jun 7, 2022

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Algebra

Jerry is presently twice as old as his brother and six years older than his sister. How many years from now will Jerry's age be of the combined ages of his brother and sister at that time?

Guest Jun 7, 2022

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279

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Please help

What is the smallest positive multiple of 23 that is 4 more than a multiple of 89?

Guest Jun 7, 2022

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316

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Simplify

Simplify the following expression to a simplified fraction:
$$\sqrt{\dfrac{\dfrac{5}{\sqrt{40}}+\dfrac{\sqrt{845}}{18}+\sqrt{45}}{\sqrt10}}.$$

Guest Jun 7, 2022

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313

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Domain

What is the domain of the real-valued function $f(x)=\dfrac{2x-7}{\sqrt{x^2-5x+4}}$?

Guest Jun 7, 2022

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205

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Quadratic

Find the largest value of c such that 1 is in the range of f(x)=x^2-5x+c+x^2-3x.

Guest Jun 7, 2022

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307

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Floor function

Evaluate $$\lfloor\sqrt{1}\rfloor + \lfloor\sqrt{2}\rfloor + \lfloor\sqrt{3}\rfloor + \dots + \lfloor\sqrt{29}\rfloor$$

BuilderBoi ●●

Guest Jun 7, 2022

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Quadratic

If the roots of the quadratic equation x^2/2 + 99x + c = 0 are and , then what is the value of c?

Guest Jun 7, 2022

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Challenge

Let $G$ be the center of equilateral triangle $XYZ.$ A dilation centered at $G$ with scale factor $-\frac{3}{4}$ is applied to triangle $XYZ,$ to obtain triangle $X'Y'Z'.$ Let $A$ be the area of the region that is contained in both triangles $XYZ$ and $X'Y'Z'.$ read more ..

Guest Jun 7, 2022

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Function

If the function $j(x)$ is defined only on domain $[-1,2]$, and is defined on this domain by the formula
then what is the range of $j(x)$? Express your answer as an interval or as a union of intervals.

Guest Jun 7, 2022

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294

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Complex numbers

Simplify $\dfrac{5+12i}{2-8i}$. Your answer should be of the form $a+bi$, where $a$ and $b$ are both real numbers and written as improper fractions (if necessary).

Guest Jun 7, 2022

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Domain

What is the domain of the function $$f(x) = \frac{(2x-3)(2x+5)}{(3x-9)(3x+8)}~?$$ Express your answer as an interval or as a union of intervals.

Guest Jun 7, 2022

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309

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Inequality

Solve 3t - 5 < t - 2 <= -3t + 7 - t + 8. Give your answer as an interval.

Guest Jun 7, 2022

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349

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Hard geometry

In the figure, point is the center of the circle, the measure of angle $RTB$ is 29 degrees, and the measure of angle $ROB$ is three times the measure of angle $SOT$. What is the measure of minor arc $RS$, in degrees?

read more ..

Guest Jun 7, 2022

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Function

What is the sum of all values of y for which the expression (y + 1)/(y^2 - 5y + 4 + y^2 - 6y) is undefined?

Guest Jun 7, 2022

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