$(5$ points$)$ The input to Binary Search is the list and numbered in sequence from $1$ to $10$:$(2,6,9,13,17,23,29,31,57,76)$

What is the correct output for target $x=5?$

$(6$ points$)$ Drexel, Ball State and Mary Washington University IT graduates, $50$ in all, interviewed at Intuit Corporation for potential starting positions with the company. Out of all candidates, $14$ knew Java and $27$ knew Python programming languages. Of all candidates, $10\%$ were knowledgeable of more than one programming language Intuit could use in their Quicken Mortgage Business sector. For the Venn Diagram below depicting the candidate programing language skills, what are the missing values, if any, per region?

$(4$ points$)$ The first term in an arithmetic sequence is $1574$ and the common difference is $14.$ Find the $3^{th}$ term in the sequence.