When solving vibration problems of continuous systems such as bars, shafts, beams, etc., the displacements, W(x, t) were assumed as X(x)T(t). X(x) which is the mode-shape function is solved using what conditions?

Colby and jaquan are growing bacteria in an experiment in a laboratory. colby starts with 50 bacteria in his culture and the number of bacteria doubles every 2 hours. jaquan starts with 80 of a different type of bacteria that doubles every 3 hours. let x equal number of days. colbys experiment follows the model: a.) y=50*2^x b.) y=50*2^8x c.) y=50*2^12x jaquans experiment follows the model: a.)80*2^x b.)80*2^8x c.)80*2^12x

Explain in a minimum of 2 sentences how to graph the equation of the absolute value function given a vertex of (-1,3) and a value of “a” equal to ½.

Solve for x: 5/3 x = 20/21 it's fraction. remember to simplify your fraction