1 minute = 60 seconds
184/3 = 61.33333 repeating
61.333333/60 = 1.0222222 repeating
or 1.02 feet per second
Answer:
- 32,283 years old
- 31,718 years old
Step-by-step explanation:
If h is the half-life of the radioactive substance, then the proportion remaining after t years is ...
k = (1/2)^(t/h)
We can find the value of t using logarithms:
log(k) = (t/h)·log(1/2)
t = h·log(k)/log(1/2)
__
a) For k = 2% and h = 5720 years, we have ...
t = 5720·log(.02)/log(.5) ≈ 5720·5.64386
t ≈ 32,283 . . . . years old
__
b) For k = 2% and h = 5620 years, we have ...
t ≈ 5620·5.64386 ≈ 31,718 . . . . years old
_____
Note the proportionality of age to half-life. Once we found the multiplier corresponding to 2% remaining, we can use that for any estimate of the half-life.
The probability that he does not wait for more than five minutes all 5 days this week is 0.16807
<h3>How to determine the probability?</h3>
The probability that he waits for more than 5 minutes is:
p = 30%
This means that the probability that he does not wait for more than 5 minutes is
q = 70%
If he does not wait for more than five minutes all 5 days this week, the probability is:
P = q^5
This gives
P = (70%)^5
Evaluate
P = 0.16807
Hence, the probability that he does not wait for more than five minutes all 5 days this week is 0.16807
Read more about probability at:
brainly.com/question/251701
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The vertex is (7, -144)
To find it:
x = -b/2a so x = -(-14)/2*1 = x = 14/2 = 7
Plug 7 for x and find y
7^2 - 14 * 7 - 95 = -144
