Outside of the United States, the common paper size is called A4 and measures 21 by 29.7 centimeters. Let be the volume in cubic centimeters of a box made from A4 paper by cutting out squares of side length in centimeters from each corner and then folding up the sides. What is a reasonable domain for in this context? Explain or show your reasoning.

Bismuth-210 is an isotope that radioactively decays by about 13% each day, meaning 13% of the remaining bismuth-210 transforms into another atom (polonium-210 in this case) each day. if you begin with 233 mg of bismuth-210, how much remains after 8 days?

Which math sentence can be used to determine if the triangle is a right triangle?

The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f left parenthesis x right x squared over 2 left parenthesis 1 minus x right parenthesis endfraction , where x is a number between 0 and 1 known as the traffic intensity. find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities (a) xequals0.3 and (b) xequals0.6.