Answer:
The half-life of a reaction is the time required for the reactant concentration to decrease to one-half its initial value. The half-life of a first-order reaction is a constant that is related to the rate constant for the reaction: t1/2 = 0.693/k. Radioactive decay reactions are first-order reactions.
Dimensional analysis is based on the principle that physical quantities that are equated must be represented in measures of the same basic quantities (e.g mass, length, or time) in order to draw conclusions about their relationships.
If Gold cost $8.00 per ounce
Then $15.00 will cost:

x = 1.875 ounces
Assuming x to be the amount of ounce, then Gold of $15.00 will cost 1.875 ounces.
Now, given that:
1000g = 1kg
1 kg = 2.2 lbs
1 lb = 16 oz
Then, to determine the amount of gram that is equivalent to 1.875 ounces, we have:
Since 1 lb = 16 oz
2.2 lbs = (2.2*16) oz
= 35.2 oz
Since 1 kg = 2.2lbs = 35.02 oz
∴
x(g) = 1 kg
1000 g = 35.02 oz
1 (g) = 35.02/1000 oz
1 (g) = 0.03502 oz
Thus, If 1 (g) = 0.03502 oz
x(g) = 1.875 oz

x = 53.54 g
Thus, we can conclude that amount of the grams you can purchase for $15.00 is 53.54 grams
Learn more about dimensional analysis here:
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Answer:
conduction
Explanation:
Conduction is the transfer of heat between substances that are in direct contact with each other. ... Conduction occurs when a substance is heated, particles will gain more energy, and vibrate more. These molecules then bump into nearby particles and transfer some of their energy to them.