For any nonempty set $t$ whose elements are positive integers, define $f(t)$ to be the square of the product of the elements of $t$. for example, if $t=\{1,3,6\}$, then $f(t)=(1\cdot 3\cdot 6)^2 = 18^2 = 324$. consider the nonempty subsets $t$ of $\{1,2,3,4,5,6,7\}$ that do not contain two consecutive integers. if we compute $f(t)$ for each such set, then add up the resulting values, what do we get?

Now ray has had the tires for two months and he notices that the tread has started to pull away from the tire. he has already contacted the place who sold the tires and calmly and accurately explained the problem. they didn’t him because they no longer carry that tire. so he talked with the manager and he still did not get the tire replaced. his consumer rights are being violated. pretend you are ray and write a letter to the company’s headquarters. here are some points to keep in mind when writing the letter: include your name, address, and account number, if appropriate. describe your purchase (name of product, serial numbers, date and location of purchase). state the problem and give the history of how you tried to resolve the problem. ask for a specific action. include how you can be reached.