A radioactive substance decays exponentially: The mass at time t is m(t) = m(0)e kt , where m(0) is the initial mass and k is a negative constant. The mean life, M, of an atom in the substance is M = −k Z [infinity] 0 tekt dt. For the radioactive carbon isotrope 14C, used in radiocarbon dating, the value of k is −0.000121. Find the mean life of a 14C atom.

Which statements are true? check all that apply. the line x = 0 is perpendicular to the line y = –3. all lines that are parallel to the y-axis are vertical lines. all lines that are perpendicular to the x-axis have a slope of 0. the equation of the line parallel to the x-axis that passes through the point (2, –6) is x = 2. the equation of the line perpendicular to the y-axis that passes through the point (–5, 1) is y = 1.

Calculate the average rate of change over the interval [1, 3] for the following function. f(x)=4(5)^x a. -260 b. 260 c. 240 d. -240

Cuántos triángulos forman un diamante