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Virty [35]
3 years ago
11

A sample of a radioactive isotope had an initial mass of 450 mg in the year 2005 and decays exponentially over time. A measureme

nt in the year 2012 found that the sample's mass had decayed to 310 mg. What would be the expected mass of the sample in the year 2017, to the nearest whole number?
Mathematics
1 answer:
yawa3891 [41]3 years ago
8 0

Answer: 238

Step-by-step explanation:

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Let log_(b)A=3; log_(b)C=2; log_(b)D=5 what is the value of log_(b)((A^(5)C^(2))/(D^(6)))
Colt1911 [192]

Answer:

-11

Step-by-step explanation:

Given

\log_bA=3\\ \\\log_bC=2\\ \\\log_bD=5

Use properties:

\log_b(A\cdot C)=\log_bA+\log_bC\\ \\\log_b\dfrac{A}{C}=\log_bA-\log_bC\\ \\\log_bA^k=k\log_bA

Thus,

\log_b\dfrac{A^5\cdot C^2}{D^6}\\ \\=\log_b(A^5\cdot C^2)-\log_bD^6\\ \\=\log_bA^5+\log_bC^2-\log_bD^6\\ \\=5\log_bA+2\log_bC-6\log_bD\\ \\=5\cdot 3+2\cdot 2-6\cdot 5\\ \\=15+4-30\\ \\=-11

3 0
2 years ago
Marvin's Tree Service purchased several spruce tree saplings.
aleksley [76]
I am sure it B hope I helped
6 0
3 years ago
The stock of Company A lost $4.17 throughout the day and ended at a value of
Anit [1.1K]

Answer:

4%

Step-by-step explanation:

After losing 4.17, it came down to 100.08, so the opening price was:

100.08 + 4.17 = 104.25

To find percentage decline, we find the ratio of the "change" (which is 4.17) divided by the opening (original) price, which is 104.25. Then we multiply that fraction by 100 to get our percentage decline.

So,

\frac{4.17}{104.25}*100=4

Thus, the

percentage decline = 4%

4 0
2 years ago
Mateo went out to eat dinner, and the meal cost $30.00. If Mateo received a 12% discount, what was the total value of the discou
Vanyuwa [196]

Answer:

3.6

Step-by-step explanation:

4 0
3 years ago
Your teacher buys a 5 pound bad of Smarties, for $12.50. What is the unit rate for Smarties.
Taya2010 [7]
So 5 pounds=12.5
divide 12.5 by 5 to get dollars per pound
$2.5 per pouind
4 0
3 years ago
Read 2 more answers
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