Questions asked by Ken C.

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How do I factor this expression completely?
The number $90^{9}$ $90^9$ has $1900$ $1900$ different positive integral divisors. How many of these are squares of integers?
How do you find three consecutive binomial coefficients in the relationship $1 : 2 : 3$ $1:2:3$ ?
How do you find three consecutive binomial coefficients in the relationship $1 : 2 : 3$ $1:2:3$ ?
What's the quickest way to determine the proper divisors of a number by hand?
20 workers completed 1/4 of a building in 8 days. Due to a dedication ceremony, it became necessary to complete the building in the next 5 days. How many workers were added to the original 20 to make this possible?
The 20th term of an arithmetic series is $log 20$ $log20$ and the 32nd term is $log 32$ $log32$ . Exactly one term in the sequence is a rational number. What is the rational number?
If $m^{2} + n^{2} = 10 p^{2} + 10 p + 1$ $m^2+n^2=10p^2+10p+1$ , where $m$ $m$ and $n$ $n$ are positive integers and $p$ $p$ is a prime number, what is $m + n$ $m+n$ in terms of $p$ $p$ ?
A compound has the formula $P t C l_{4} \cdot 2 K C l$ $PtCl_4*2KCl$ ...?
Let $f(x)=x^2(x^2-1)(x^2-2)(x^2-3)...(x^2-n)$ What is the value of $f'(1)$ ?
How do you determine the concentrations of reagents in a galvanic cell when the cell "dies"?