Answer:
24 i think
Step-by-step explanation:
I evaluated using he given value
Answer: Attached.
Step-by-step explanation:
Either solve the equations directly, or graph them and look for the point of intersection.
Answer:
all but 1/6
Step-by-step explanation:
Perpendicular lines have negative reciprocals. This means that if you multiply the slopes of both lines, the product will be a -1.
In your given point-slope equation, the slope is 1/3. Therefore, the negative reciprocal of 1/3 must be -3.
Out of the given options:
y + 2 = -3(x — 4)
y = -3x - 5
are the linear equations that are perpendicular to y — 1 = 1/3(x + 2).
Therefore, the correct answers are Options 1 and 3.
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Answer:
Explanation:
These steps explain how you estimate the age of the parchment:
1) Carbon - 14 half-life: τ = 5730 years
2) Number of half-lives elapsed: n
3) Age of the parchment = τ×n = 5730×n years = 5730n
4) Exponential decay:
The ratio of the final amount of the radioactive isotope C-14 to the initial amount of the same is one half (1/2) raised to the number of half-lives elapsed (n):
5) The parchment fragment had about 74% as much C-14 radioactivity as does plant material on Earth today:
- ⇒ ln (0.74) = n ln (1/2) [apply natural logarithm to both sides]
- ⇒ n = ln (1/2) / ln (0.74)
- ⇒ n ≈ - 0.693 / ( - 0.301) = 2.30
Hence, 2.30 half-lives have elapsed and the age of the parchment is:
- τ×n = 5730n = 5730 (2.30) = 13,179 years
- Round to the nearest hundred years: 13,200 years
