Light travels approximately 982,080,000 ft/s, and one year has approximately 32,000,000 seconds. a light year is the distance light travels in one year. state the speed in ft/s, using scientific notation. 3.069 x 101 ft/s 9.8208 x 108 ft/s 3.0 x 1016 ft/s

You've already told us the speed in ft/s .  It's right there in the question.  You said that light travels about  982,080,000 ft/s.

We don't know how accurate that number is, but for purposes of THIS question, that's the number we're going with.

In scientific notation, it's written . . . 9.8208 x 10⁸ ft/s .

We don't know where you were going with the number of seconds in a year.  But to answer the question that you eventually asked, it turned out that we don't even need it.

answer: the correct answer is 1.

explanation: there are various process in which a radioactive nuclei decays:

1) alpha decay: in this process, a heavier nuclei decays into lighter nuclei by releasing alpha particle. the mass number is reduced by 4 units.

2) electron capture: in this decay process, a parent nuclei absorbs an electron and gets converted into a neutron. simply, a proton and an electron combines together to form a neutron. mass number does not change in this process.

3) gamma ray emission: it is a decay process in which an unstable nuclei gives excess energy by a spontaneous electromagnetic process. this decay releases . this process does not change the mass number.

4) positron emission: it is a type of decay process, in which a proton gets converted to neutron and an electron neutrino. this is also known as -decay. in this the mass number remains same.

from the above information, we see that only alpha-decay is producing a change in the mass number of the nucleus.