We'll say beginning amount is 100
Ending Amount = Beginning Amount / 2^n where n is the number of half-lives
100 hours mean six and 2/3 half-lives will elapse
Ending Amount = 100/2^(6.666666)
Ending Amount = 100 /
<span>
<span>
<span>
101.59
</span></span></span>Ending Amount =
<span>
<span>
<span>
0.9843488532
</span>
</span>
</span>
So if we started with 100 grams after 100 hours (or 6.6666666 half-lives) we would only have <span>
<span>
0.9843488532
</span>
grams remaining.
http://www.1728.org/halflife.htm
</span>
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h. k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (- 6, - 1), thus
y = a(x + 6)² - 1
To find a substitute one of the roots into the equation
Using (- 3, 0), then
0 = a(- 3 +6)² - 1
0 = 9a - 1 ( add 1 to both sides )
1 = 9a ( divide both sides by 9 )
a = 
, thus
y = (x + 6)² - 1 ← in vertex form
Expand factor and simplify
y = (x² + 12x + 36) - 1 ← distribute
y = x² + 
x + 4 - 1
= x² + x + 3 ← in standard form
Answer:
There are 2 complex roots:
3 - 4i, 3 + 4i.
Step-by-step explanation:
x^2 - 6x + 25 = 0
Using the quadratic formula:
x = [-(-6) ± √(-6)^2 - 4*1*25)] / 2
= (6 ± √-64)/2
= 3 ± 8i/2
= 3 ± 4i
Answer:
Option B is correct.
Miguel should study for the Science quiz as he will do worse in that quiz by guessing.
Step-by-step explanation:
Miguel has to take two quizzes
1) 4 true or false questions on History with a 0.5 chance of acing the quiz
Expected number of correct questions = np
n = number of questions
p = probability of acing the test
Expected number of correct questions = 4 × 0.5 = 2
2) 3 multiple choice questions on Science with a 0.2 chance of acing the quiz.
Expected number of correct questions = 0.2 × 3 = 0.6
It is evident that guessing would yield a worse result in the Science quiz with less than 1 question expected to be correct than history, where he is still expected to get 2 questions correctly by guessing.
Hope this Helps!!!
Answer:
what is that
Step-by-step explanation:
