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This quadratic reaches its maximum at $x = 10$ (vertex formula).
What is the sum of all the odd divisors of 180?
First, find the prime factorization of 180:
How many of the 100 smallest positive integers are congruent to 1 modulo 4?
Question: A regular tetrahedron has vertices at $ (0, 0, 0) $, $ (1, 1, 0) $, $ (1, 0, 1) $, and $ (0, 1, 1) $. Find the integer coordinates of the fourth vertex.
First, we calculate the approximate values of the interval boundaries.
We are looking for whole numbers between 7.07 and 14.14, which are 8, 9, 10, 11, 12, 13, and 14.
Counting these numbers, we have 7 whole numbers.
The sequence is an arithmetic sequence with the first term $a = 3$ and common difference $d = 5$.
The general form of the $n$-th term is given by $a_n = a + (n-1)d$.