Answer:
y=5/4-10
Step-by-step explanation:
Remember the properties of logarithms. If you have ln81, you can pull out the power of two (9^2) and have 2ln9. Also, you could do ln9 + ln9 because 9*9=81 and ln9*9 = ln9 + ln9
With these properties, you can get 3lnx+2lny, which is 3u+2v according to the answer.
Hope I helped!
Answer:
D
Step-by-step explanation:
4 units
The similarity ratio of STUV to CBED is 0.5
<h3>How to determine the
similarity ratio of STUV to CBED?</h3>
For the shapes to have a similarity ratio, it means that:
The shapes are similar (not necessarily congruent)
From the diagram, the following sides are corresponding sides
ST and CB
Where
ST = 2
CB = 1
The similarity ratio of STUV to CBED is calculated as:
Ratio = CB/ST
Substitute the known values in the above equation
Ratio =1/2
Evaluate
Ratio = 0.5
Hence, the similarity ratio of STUV to CBED is 0.5
Read more about similar shapes at:
brainly.com/question/14285697
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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
