All Questions ⁺⁰237767 Questions

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127

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triangles

Let $I$ be the incenter of triangle $ABC$. If $AB = 13$, $AC = 15$, and $BC = 8$, then find the length $BI$.

Guest Aug 16, 2023

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84

3

Inequality

For what values of $x$ is $2x^2+8x\le-6+6x+4$? Express your answer in interval notation.

The3Mathketeers ●●●

Guest Aug 16, 2023

0

1

75

6

+82

What is the smallest possible value of x such that 2x^2+24x-60=x(x+13)?

What is the smallest possible value of x such that 2x^2+24x-60=x(x+13)?

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xxyoohoo Aug 16, 2023

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67

2

math

3400 dollars is placed in an account with an annual interest rate of 8.25%. How much will be in the account after 25 years, to the nearest cent?

Guest Aug 16, 2023

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62

3

+52

help

Milton spilled some ink on his homework paper. He can't read the coefficient of $x$, but he knows that the equation has two distinct negative, integer solutions. What is the sum of all of the distinct possible integers that could be under the ink stain? read more ..

newsss Aug 16, 2023

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1

56

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+132

PLEASE HELP ME

Manu determines the roots of a polynomial equation p(x)=0 by applying the theorems he knows. He organizes the results of these theorems.
From the fundamental theorem of algebra, Manu knows there are 3 roots to the equation.
From read more ..

thebestchesscat Aug 16, 2023

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101

2

+1932

factoring quadratics

The expression $x^2 + 13x + 30 - x + 2$ can be factored as $(x + a)(x + b),$ and the expression $x^2 - 16$ can be factored as $(x + b)(x - c)$, where $a$, $b$, and $c$ are integers. What is the value of $a + b + c$?

tomtom Aug 16, 2023

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22

3

+1932

expected value

A standard deck of cards contains $52$ cards. These $52$ cards are arranged in a row, at random. Find the expected number of pairs of adjacent cards that are both hearts.

tomtom Aug 16, 2023

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87

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+1932

Domain

Find the domain of the function \[f(x)=\sqrt{-6x^2+11x+4} + \sqrt{x}.\]

SpectraSynth ●

tomtom Aug 16, 2023

Aug 15, 2023

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95

2

palindromes

A palindrome is a number that is the same when read forwards and backwards, such as $43234$. What is the smallest five-digit palindrome that is divisible by $17$?

The3Mathketeers ●●

Guest Aug 15, 2023

-1

92

2

+1932

quadratic equations

Let $m$ be a real number. If the quadratic equation $x^2+mx+4 = 4x - 12$ has two distinct real roots, then what are the possible values of $m$? Express your answer in interval notation.

SpectraSynth ●●

tomtom Aug 15, 2023

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75

2

+762

Riddle 37

How much will a 38° angle measure when looked at under a microscope that magnifies ten times?

history Aug 15, 2023

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84

1

+1932

help plz

need help with fractions plz
Given positive integers $x$ and $y$ such that $x\neq y$ and $\frac{1}{x} + \frac{1}{y} = \frac{1}{6}$, what is the smallest possible value for $x + y$?

SpectraSynth ●

tomtom Aug 15, 2023

0

90

2

+762

Riddle 36

If you're 8 feet away from a door and with each move you advance half the distance to the door. How many moves will it take to reach the door?

plaintainmountain ●●

history Aug 15, 2023

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105

2

+762

Riddle 35

he ages of a father and son add up to 66. The father's age is the son's age reversed. How old could they be? (3 possible solutions).

plaintainmountain ●●

history Aug 15, 2023

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95

1

inequality

Find all real numbers $p$ that have the following property: For all $q>0$, the inequality
$$\frac{3(pq^2+p^2q)}{p + q} +3q^2+3pq >2p^2q$$
holds.
Express your answer in interval notation.

Guest Aug 15, 2023

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55

2

how much does 7 go into 1 in dividsion

how much does 7 go into 1 in dividsion

Guest Aug 15, 2023

0

57

2

+132

I would like some help on this please

Stanley analyzes the table of values for a polynomial function. He has determined through applying Descartes rule of sign that there is 1 negative real zero, and either 1 or 3 positive real zeros. He has also determined that the upper bound of the function read more ..

thebestchesscat Aug 15, 2023

0

56

2

+132

PLEASE HELP ME

Andrew made an error in determining the polynomial equation of smallest degree whose roots are 3, 2+2i and 2-2i.
- Review Andrews work, identify the error and correct all the work from that point forward that is affected read more ..

thebestchesscat Aug 15, 2023

0

89

1

+82

Help please

Find the largest value of c such that

xxyoohoo Aug 15, 2023

0

95

3

+52

help

find the domain of the function \[f(x) = \sqrt{1 - \sqrt{2 - \sqrt{3 - x}}}.\]

newsss Aug 15, 2023

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105

5

+52

help

find
\[\binom{100}{0} - \binom{100}{1} + \binom{100}{2} - \dots + \binom{100}{100}.\]

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newsss Aug 15, 2023

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97

1

Two circles, centered at A and B have radius 1 and 2, respectively, with AB=5. The common internal tangent intersects the smaller circle at

Two circles, centered at A and B have radius 1 and 2, respectively, with AB=5. The common internal tangent intersects the smaller circle at C and the larger circle at D what is the area of quadrilateral ACBD? read more ..

Guest Aug 15, 2023

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