Prove that each of the following languages is decidable by constructing a turing machine that decides it and showing that this construction is correct. hint: you may use any of the turing machines constructed in class as a subroutine of your turing machine. a. = {⟨ ⟩ |⊆ }

Science and technology are interdependent. advances in one lead to advances in the other. give an example of this phenomenon.

Simon is writing a story about an astronaut whose spacecraft has been boarded by space pirates. the astronaut has her lucky penny in her hand behind her back as the space pirates break into the control room. she has just locked the controls so that the ship is accelerating in the direction of the control room’s ceiling. simon wants the astronaut to use the penny to hit a button on the control panel to turn off the lights and escape. the button is located a short distance behind and below the astronaut’s hands. how should simon use the theory of relativity to describe what the astronaut must do in order to hit the button?

What accounts for an increase in the temperature of a gas that is kept at constant volume? a. energy has been removed as heat from the gas. b. energy has been added as heat to the gas. c. energy has been removed as work done by the gas. d. energy has been added as work done by the gas.