All Questions

281

help coordinates

Find the shortest distance from the line 3x + 4y = 25 to the circle x^2 + y^2 = 6x - 8y.

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Guest Jun 8, 2022

330

counting problem

How many 4-digit numbers have the second digit even and the fourth digit is at least the second digit? (Here, digits are read from the left, so the first digit is the leftmost digit, and so on.)

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Guest Jun 8, 2022

350

trigonometric identity

proof that sin^2x+sinx.cos^2x = tanx

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Guest Jun 8, 2022

325

Percent

During a football/soccer match, a goalkeepers save rate was 33 1/3%. .After saving the next shot, it rose to 40%. How many more consecutive shots on target must be saved to raise the save rate to 60%?

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Guest Jun 8, 2022

283

Exponential and Logarithm Question

The magnitude of an earthquake is defined as M=log(A / A0), where A is the amplitude of the ground motion and A0 is the amplitude corrected for the distance from the actual earthquake that would be expected for a 'standard earthquake'. On March 2, read more ..

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Guest Jun 8, 2022

302

help coordinates

The slope of a line is -2 and its x-intercept is (-5,0). What is the y-intercept point of the line? Express your answer as an ordered pair.

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Guest Jun 8, 2022

292

help??? i got 9/16 as my answer but didnt work

Let G be the center of equilateral triangle XYZ. A dilation centered at G with scale factor -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'. Find A/[XYZ]. read more ..

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Guest Jun 8, 2022

358

+580

Interesting question

Hello, I'm just curious, what is the purpose of this forum?

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Vinculum Jun 8, 2022

286

Polynomials

g(x) = x^2 - 11x + 30
g(f(x)) = x^4 - 8x^3 + 11x^2 + 20x + 6

Let g and f be the monic polynomial functions that satisfy the system above. What is the value of f(7)?

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Guest Jun 8, 2022

296

Algebra

Let
Then P can be expressed in the form a^{b/c}, where a, b, and c are positive integers. Find the smallest possible value of a + b + c.

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Guest Jun 8, 2022

295

Fraction and Ratios

There are red marbles and yellow marbles in a bowl. The ratio of the number of red marbles to the blue marbles is 1:3. After 10 red marbles are added into the bowl and 10 blue marbles are removed from the bowl, the ratio of the number of red marbles to read more ..

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Guest Jun 8, 2022

292

Math problem

For positive integer values of N, let boxed(N) be equal to:

boxed(N) = 2+4+6+8+...+N if N is even,
and read more ..

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Guest Jun 8, 2022

229

Fraction problem

Levans writes a positive fraction in which the numerator and denominator are integers, and the numerator is 2 greater than the denominator. He then writes several more fractions. To make each new fraction, he increases both the numerator and the denominator read more ..

Guest Jun 8, 2022

256

geometry

A circle centered at P with radius 10 and a circle centered at Q with radius are externally tangent. A common external tangent intersects line PQ at R. Find QR.

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Guest Jun 8, 2022

213

Inequality

Let a, b, c, d, e, f be nonnegative real numbers.

(a) Prove that (a^2 + b^2)^2 (c^4 + d^4)(e^4 + f^4) >= 32abcdef.
(b) Prove that (a^2 + b^2)(c^2 + d^2)(e^2 + f^2) >= 8abcdef. read more ..

Guest Jun 8, 2022

223

Help

https://web2.0calc.com/questions/need-the-workings-thx

Guest Jun 8, 2022

224

Geometry

Let ABCD be a parallelogram. If AC = 9 and BD = then find AB^2 + BC^2.

Guest Jun 8, 2022

301

Number Theory

How many integers between 0 and 8 inclusive have an inverse modulo ?

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Guest Jun 8, 2022

215

sum1 help trig unit 5

Which of the following is an identity? A. sin2x cot2x + cos2x tan2x = 1. B. (1 - 2sin2x)csc2x = 4cos2x - 2. C. tan2x + cot2x = 1. D. sinx - cosx + 1 = tanx.

Guest Jun 8, 2022

296

help

The expression sinx(cscx - cotx cosx) can be simplified to

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Guest Jun 8, 2022

362

+252

(a) Simplify \[\dfrac{\dbinom{n}{k}}{\dbinom{n}{k - 1}}.\] (b) For some positive integer $n,$ the expansion of $(1 + x)^n$ has three consecu

(a) Simplify \[\dfrac{\dbinom{n}{k}}{\dbinom{n}{k - 1}}.\] (b) For some positive integer $n,$ the expansion of $(1 + x)^n$ has three consecutive coefficients $a,$ $b,$ $c$ that satisfy $a:b:c = 1:7:35.$ What must $n$ be?

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Blizzardshine Jun 8, 2022

363

+252

Find the constant term in the expansion of $\Big(x^2+\frac{1}{x}\Big)^4$.

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Blizzardshine Jun 8, 2022

374

+252

Find the constant term in the expansion of \[\Big(2z - \frac{1}{\sqrt{z}}\Big)^9.\]

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Blizzardshine Jun 8, 2022

373

+252

Expand $(3+\sqrt{5})^4$. Enter your answer in the form $a + b\sqrt{5}$ for some positive integers $a$ and $b$.

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Blizzardshine Jun 8, 2022

501

+252

Expand $(\sqrt{t} + 2t)^4+(\sqrt{t} - 2t)^4$.

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Blizzardshine Jun 8, 2022

All Questions ⁺⁰237740 Questions

help coordinates

counting problem

trigonometric identity

Percent

Exponential and Logarithm Question

help coordinates

help??? i got 9/16 as my answer but didnt work

Interesting question

Polynomials

Algebra

Fraction and Ratios

Math problem

Fraction problem

geometry

Inequality

Help

Geometry

Number Theory

sum1 help trig unit 5

help

(a) Simplify \[\dfrac{\dbinom{n}{k}}{\dbinom{n}{k - 1}}.\] (b) For some positive integer $n,$ the expansion of $(1 + x)^n$ has three consecu

Find the constant term in the expansion of $\Big(x^2+\frac{1}{x}\Big)^4$.

Find the constant term in the expansion of \[\Big(2z - \frac{1}{\sqrt{z}}\Big)^9.\]

Expand $(3+\sqrt{5})^4$. Enter your answer in the form $a + b\sqrt{5}$ for some positive integers $a$ and $b$.

Expand $(\sqrt{t} + 2t)^4+(\sqrt{t} - 2t)^4$.

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