Asample of an unknown chemical element naturally loses its mass over time. the relationship between the elapsed time t, in months, since the mass of the sample was initially measured, and its mass, m(t), is modeled by the following function: m(t)=120(81/625)t complete the following sentence about the rate of change in the mass of the sample. round your answer to two decimal places.
the mass of the sample decays by a factor of (3)/(5) every ? months

step-by-step explanation:

hans did not square the 40-unit side; he merely multiplied it by 2.   incorrect.

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.

5.762159

step-by-step explanation:

it would be 9 because when it is the nine is over five so that would mean it rounds up to 90 or 9