Afossil was analyzed and determined to have a carbon-14 level that is 70 % that of living organisms. the half-life of c-14 is 5730 years. how old is the fossil?

Explanation:

Since the living organisms stop the metabolic processes when dye, the age of the fossil is equal to the time the carbon-14 isotope (C-14) has been decaying.

Since the hal-life of the radioisotopes, such as carbon-14, is constant, you know that the amount of carbon-14 remaining reduces to half each time a half-life passes, i.e:

Now, knowing that 70% or 0.7 parts are remaining you can set the equation:

Which means that 0.5156 half-life has elapses, since the fossil started forming.

Since one half-life is 5730 years, the age of the fossil is 0.5156 × 5730 years = 2,948 years, which should be rounded to three signficant figures: 2,950 years.

its weight is greatest on earth

in scientific notation, the value of the  speed of light in a vacuum

  will be written as 2.995 * 10^8. when this value is represented in the form of

  a * 10^b, then, a = 2.995 and b = 8.

the value of the speed of light in a vacuum given above can also be rounded up to approximately 300000000. in this case, the scientific notation will be written as 3 *10^8.