Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three
centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width.
The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height.
Complete the equation that models the volume of the tray in terms of its width, x, in centimeters.
The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height.
Complete the equation that models the volume of the tray in terms of its width, x, in centimeters.
2 answers:
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Answer: C. 13,839 (the answer is not among the given options, however the result is near this value)
Step-by-step explanation:
The exponential decay model for Carbon- 14 is given by the followig formula:
(1)
Where:
is the final amount of Carbon-
14
is the initial amount of Carbon-
14
is the time elapsed (the value we want to find)
On the other hand, we are told the current amount of Carbon-14 is
, assuming the initial amount of Carbon-14
is
:
(2)
This means: (2)
Now,finding from (1):
(3)
Applying natural logarithm on both sides:
(4)
(5)
(6)
Finally:
This is the age of the paintings and the option that is nearest to this value is C. 13839 years