If I spend 15 hours per week studying research methods, I will earn an A in the course. I will study research methods at least 15 hours per week. Therefore, I will earn an A in the course. What type(s) of reasoning is this?

Will give let f(x)=2x and g(x)=[tex]2^{x}[/tex] graph the functions on the same coordinate plane. what are the solutions to the equation f(x)=g(x) ? enter your answers in the boxes x=[? ] or x=[? ]

You’re ordering more thread for blue jeans co. you usually purchase from ted’s threads, which sells 12 thread spools for $27. you recently received a notice from wade's wares that says you can buy thread from them for $2.30 each for the first 2 dozen and $2 a spool thereafter. you need to order 5 dozen spools. what percentage can you save by going with wade’s wares?

The room above is shaped like a rectangle anthe room above is shaped like a rectangle and has a perimeter of 34 feet. if the room is 11 feet long, how wide is it?