All Questions ⁺⁰237665 Questions

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368

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Counting

How many 3-letter sequences can be formed if the second letter must be a vowel (A, E, I, O, or U), and the third letter must be different from the second letter?

Guest Dec 3, 2021

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242

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Algebra

Let f(x) = (3x^4+3x^3+3x^2+3)/(x^2+3x-2). Find a polynomial g(x) so that the graph of f(x) + g(x) has a horizontal asymptote of y = 0.

Guest Dec 3, 2021

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239

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help algebra

What is the minimum value of the expression x^2 + y^2 + 2x - 4y + 8 - 10y + 3y for real x and y?

Guest Dec 3, 2021

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283

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3d geometry

A sphere of radius 10 inches is inscribed in a cone with a base of radius 18 inches. In cubic inches, what is the volume of the cone?

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Guest Dec 3, 2021

+12

484

12

+483

Ellipses

An ellipse with equation
contains the circles and Then the smallest possible area of the ellipse can be expressed in the form . Find .

Any help is appreciated!
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Alan ●●●●●●●●●●●●

abcdefghijklmnopqrst Dec 3, 2021

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259

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Coordinates

A line goes through (2,3) and (-8,2). The line has an x-intercept of P and a y-intercept of Q. Find the area of triangle OPQ. Please explain if you can.

Guest Dec 3, 2021

0

5

947

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MATH

Mrs. Santos wants to purchase a cover for their circular pool. She needs to know the radius of the pool, but she does not want to get wet to take the measurements. She is standing 1.5 meter from the pool and 4.5 meter from the point of tangency. Find the read more ..

Guest Dec 3, 2021

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406

1

arcs

how do i work out an arc

Guest Dec 3, 2021

0

272

0

Coordinates

The circle 2x^2 = -2y^2 + 2x - 4y + 20 is inscribed inside a square which has a pair of sides parallel to the x-axis. What is the area of the square?

Guest Dec 3, 2021

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257

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Algebra

Find a monic polynomial of degree 4, in x, with rational coefficients such that sqrt(2) + sqrt(5) is a root of the polynomial.

Guest Dec 3, 2021

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255

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help Polynomial

Find a monic cubic polynomial P(x) with integer coefficients such that $P(\sqrt[3]{4} + 1) = 0$. (A polynomial is monic if its leading coefficient is 1.)

Guest Dec 3, 2021

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255

0

Coordinates

Let p and q be constants such that the graph of x^2 + y^2 - 16x +py + q = 0 is tangent to the y-axis. What is the area of the region enclosed by the graph?

Guest Dec 3, 2021

0

391

1

Counting

Two boys and three girls are going to sit around a table with 5 different chairs. If the two boys want to sit next to Jill, in how many possible ways can they be seated?

Guest Dec 3, 2021

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306

1

Base Numbers

How many of the same digits are found in the base 7 and base 8 representations of 62910?

Guest Dec 3, 2021

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316

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Functions

Given that f(x) = x^{2}+2x+5 and g(x) =x+8, what is the value of f(g(5)) -g(f(5))?

Guest Dec 3, 2021

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452

1

Given right triangle ABCABC with altitude \overline{BD}BD drawn to hypotenuse \overline{AC}AC. If AD=9AD=9 and BD=3,BD=3

Given right triangle ABCABC with altitude \overline{BD}BD drawn to hypotenuse \overline{AC}AC. If AD=9AD=9 and BD=3,BD=3, what is the length of \overline{DC}?DC?

Guest Dec 3, 2021

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311

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Pls help!

In the diagram below, and . Find .

Guest Dec 3, 2021

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333

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Help!!

In the figure, AC = 26 units, AD = x = BE, DB = 9 units, DE = 13 units and measure of angle BDE = measure of angle BCA. What is the value of x?
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Guest Dec 3, 2021

-1

262

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Polynomials Roots

A polynomial with integer coefficients is of the form
\[9x^4 + a_3 x^3 + a_2 x^2 + a_1 x + 27 = 0.\]
Find the number of different possible rational roots of this polynomial.

Guest Dec 3, 2021

Dec 2, 2021

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443

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+101

What is the greatest power of 7 that divides into 1234!, with no remainder?

What is the greatest power of 7 that divides into 1234!, with no remainder?

vxnessa Dec 2, 2021

-1

365

1

+3

Line and triangle relationships

in a parallelogram ABCD, diagonals AC and BD intersect at point E, AE = x2 -16, and CE = 6x What is AC?

casique09 Dec 2, 2021

-1

266

0

Sequence

A x(1), x(2), x(3), ... sequence is defined by x(n) = x(n - 1) - x(n - 2) for all n >= 2.
If x(10) = 5 and x(14) = 8, then determine x(1).

Guest Dec 2, 2021

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