Carbon dating in exercise, you are given the ratio of carbon atoms in a fossil. use the information to estimate age of the fossil. in living organic material, the ratio of radioactive carbon isotopes to the total number of carbon atoms is about 1 to1012.(see example 2 in second 10.1) when organic materials dies, its radioactive carbon isotopes begin to decay, with a half-life of about 5715 years. so, the ratio r of carbon isotopes to carbon-14 atoms is modeled by
r = 10^-12(1/2)^t/5715 ,
where t is the time (in year) and t = 0 represent the time when the organic material died.
r = 0.32 * 10 - 12

Enter the missing numbers in the boxes to complete the table of equivalent ratios of lengths to widths. ? 18 8 ? 10 30 12 ?

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d. what is the height of the tide after 93 hours?

Aline passes through (1,-5) and(-3,7) write an equation for the line in point slope form rewrite the equation in slope intercept form