All Questions ⁺⁰237784 Questions

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209

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coordinates

The circle 2x^2 = -2y^2 + 12x - 4y + 28 is inscribed inside a square which has a pair of sides parallel to the x-axis. What is the area of the square?

Guest Jun 26, 2022

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310

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counting

How many 3-digit numbers have the property that the units digit is at least twice the tens digit plus 5?

Guest Jun 26, 2022

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321

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math problem

What is the minimum possible product of three different numbers of the set {-8,-6,-4,0,3,5,7,8}?

Guest Jun 26, 2022

Jun 25, 2022

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304

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Polynomial

Find t if the expansion of the product of x^3 - 4x^2 + 5x - 5 and x^2 + tx - 7 has no x^2 term.

Guest Jun 25, 2022

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210

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polynomial

What is the coefficient of x in (x^4 + x^3 + x^2 + x + 1)^5?

Guest Jun 25, 2022

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207

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Polynomial

What is the coefficient of x^3 in (x^4 + x^3 + x^2 + x + 1)^5?

Guest Jun 25, 2022

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291

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mixtures

Two liters of a 30% acid solution are mixed with three liters of a 20% acid solution and five liters of a 10% acid. What percent of the mixture is acid?

Guest Jun 25, 2022

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289

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help coordinates

The length of the segment between the points (2a,a - 4) and (4,1) is units 2*sqrt(10). What is the product of all possible values for a?

Guest Jun 25, 2022

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287

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Algebra

Find positive integers (a,b) so that (37 + 20*sqrt(3))^2 = a + b*sqrt3. Answer in the form of "a, b".

Guest Jun 25, 2022

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292

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help trig

What is the largest angle measure in a triangle with sides of lengths 3, 8, and 7?

Guest Jun 25, 2022

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304

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trig question

In right triangle ABC with angle B = 90 degrees, we have 2 sin A = 5 cos A. What is sin A?

Guest Jun 25, 2022

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291

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Geometry

The longer leg of a right triangle is 8 more than the shorter leg. The hypotenuse is 10 more than the longer leg. Find all three sides.

Guest Jun 25, 2022

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269

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Digits

The number A8 is a two-digit number with tens digit A and units (ones) digit 8. Similarly, 3B is a two-digit number with tens digit 3 and units digit B. When A8 is multiplied by 3B, the result is the four-digit number C430.

If A, B, and read more ..

Guest Jun 25, 2022

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286

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trapezoid

What is the perimeter of the trapezoid shown?

Guest Jun 25, 2022

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281

1

Trigonometry

In right triangle DEF, we have angle E = 90 degrees and tan D = 4*sin D. What is sin F?

Guest Jun 25, 2022

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281

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Trignometery

If A is an acute angle such that tan A + sec A = 3, then find cos A.

Guest Jun 25, 2022

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284

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3d geo

ABCD is a regular tetrahedron (right triangular pyramid) with side length 1. If M is the midpoint of line CD, then what is the area of triangle ABM?

Guest Jun 25, 2022

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280

1

Minimum problem

Find the minimum value of 2x^2 + 2xy + y^2 - 2x + 2y + 4 - x^2 + 4x over all real numbers $x$ and $y.$

Guest Jun 25, 2022

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287

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triangle geometry

Two sides of a (non-degenerate) triangle are 21 and 29. How many possible lengths are there for the third side, if it is a positive integer?

Guest Jun 25, 2022

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302

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Counting problem

An ordinary 6-sided die has a number on each face from 1 to 6 (each number appears on one face). How many ways can I paint two faces of a die blue, so that the product of the numbers on the painted faces isn't equal to 2?

Guest Jun 25, 2022

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290

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Polynomials

If p(x) = x^4 - 3x + 2, then find the coefficient of the x^3 term in the polynomial (p(x))^2.

Guest Jun 25, 2022

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299

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Polynomials

If f(x) and g(x) are polynomials such that f(x) + g(x) = -2 - x, then what is g(x) if f(x) + g(x) = x^3 + 2x + 2?

Guest Jun 25, 2022

+1

285

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+42

HELP

If j and k are inversely proportional and j = 42 when k = 56, what is the value of j when k = 32? Express your answer as a decimal rounded to the nearest tenth.

itsTim77 Jun 25, 2022

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297

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Coordinates

Harry and Sandy wish to meet at a point in Hogwarts that is at the midpoint of their coordinates. Harry is standing at (9,-2), and Sandy is standing at (-1,8). At what coordinate will they meet?

Guest Jun 25, 2022

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