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Let f(x) = \left \lfloor
Find the number of positive integers n \le 10000 that satisfy
\lfloor \log_4 n \rfloor + \lfloor \log_8 n \rfloor + \lfloor
1 answer
asked by
Fiona
20 views
What is \left \lfloor ( 3 + \sqrt{5} ) ^3 \right \rfloor?
1 answer
asked by
John
771 views
Let f(x) = \left \lfloor \frac{2 - 3x}{x + 3} + x^2 \right \rfloor.
Find f(1) + f(2) + f(3) + ... + f(999) + f(1000).
1 answer
asked by
alice
77 views
Let f(x) = \left \lfloor \frac{2 - 3x}{x + 3} + x^2 \right \rfloor.
Find f(1) + f(2) + f(3) + ... + f(999) + f(1000).
1 answer
asked by
becky
144 views
Let k be a positive integer and let X be a continuous random variable that is uniformly distributed on [0,k]. For any number x,
1 answer
299 views
Let
\[f(x) = \left\lfloor\frac{2 - 3x}{2x + 8}\right\rfloor.\] Evaluate $f(1)+f(2) + f(3) + \dots + f(999)+f(1000).$ (This sum
1 answer
asked by
alice
121 views
Given that \displaystyle \int_0^4 x^3\sqrt{9+x^2} dx = a, what is the value of \lfloor a \rfloor?
1 answer
asked by
John
452 views
Given that \displaystyle \int_0^4 x^3\sqrt{9+x^2} dx = a, what is the value of \lfloor a \rfloor?
1 answer
asked by
John
998 views
Find all values of $t$ such that $\lfloor t\rfloor = 3t + 4/5$. If you find more than one value, then list the values you find
1 answer
asked by
alice
113 views
ABC is a non-degenerate triangle such that 2\sin \angle B \cdot \cos \angle C + \sin \angle C = \sin \angle A + \sin \angle B,
0 answers
asked by
John
1,181 views