newsss

10 Questions
13 Answers

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15

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counting and probability help please

A piece of cord is laid out along the path shown on the left. At each of the six points where the path intersects itself, by random choice the cord can either pass over or under where it has already been laid. One possible combination of choices is shown read more ..

newsss Jun 19, 2024

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64

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Let $f(n)$ be a function that, given an integer $n$, returns an integer $k$, where $k$ is the smallest possible integer such that $k!$ is divisible by $n$. Given that $n$ is a multiple of $15$, what is the smallest value of $n$ such that $f(n) > 15$ read more ..

newsss Aug 19, 2023

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42

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In triangle XYZ, we have angle X = 90 and tan Z = 3. What is cos Z?

CPhill ●●●●●

newsss Aug 16, 2023

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33

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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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54

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

newsss Aug 15, 2023

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68

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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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41

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How many integers between 1 and 2009 inclusive can be expressed as a sum of five consecutive positive multiples of 7?

newsss Aug 12, 2023

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53

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What is the sum of all of the odd divisors of 6300?

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newsss Aug 11, 2023

+1

57

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The height of a right cylinder is 2.5 times its radius. If the surface area of the cylinder is 122pi cm^2 , what is the radius of the cylinder in centimeters?

newsss Aug 9, 2023

+52

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gcd(972,1118) = gcd(972,146,) = gcd(96,146) = gcd(96,50) = gcd (46,50) = gcd(4,46) = gcd(2,4) = 2

newsssJun 19, 2024