I took the liberty of finding for the complete question.
And here I believe that the problem asks for the half life of Curium. Assuming
that the radioactive decay of Curium is of 1st order, therefore the
rate equation is in the form of:
A = Ao e^(-kt)
where,
A = amount after t years = 2755
Ao = initial amount = 3312
k = rate constant
t = number of years passed = 6
Therefore the rate constant is:
2755/3312 = e^(-6k)
-6k = ln (2755/3312)
k = 0.0307/yr
The half life, t’, can be calculated using the formula:
t’ = ln 2 / k
Substituting the value of k:
t’ = ln 2 / 0.0307
t’ = 22.586 years
or
t’ = 22.6 years
<h3>
Answer: 96 units</h3>
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Explanation:
Since ABDE is a rectangle, the opposite sides AE and BD are the same length. This makes BD = 24. Similarly, ED = 20 since AB = 20.
Focus on triangle BCD. Let x be the length of segment CD. We can use the pythagorean theorem to find x
a^2 + b^2 = c^2
(BD)^2 + (CD)^2 = (BC)^2
24^2 + x^2 = 25^2
576 + x^2 = 625
x^2 = 625 - 576
x^2 = 49
x = sqrt(49)
x = 7
Segment CD is 7 units long.
Since ED = 20, this means,
EC = ED + DC
EC = 20 + 7
EC = 27
The perimeter of this trapezoid is
P = sum of all exterior sides
P = AB+BC+CE+EA
P = 20+25+27+24
P = 96 units
Note that we didn't add in side BD as part of the perimeter because it is not an exterior side. Think of sides AB, BC, CE, and AE as outer walls of the house while BD is an interior wall. The perimeter is only worried about the outer walls.
Answer:
|x-99|<3
Step-by-step explanation:
|x-99|<3
First find the slope using the slope formula M= (y2-y1) divided by (x2-x1) and then take the slope and and the 1st set of points (x1, y1) and plug it into the slope intercept formula which is y-y1=m(x-x1), then you need to add or subtract variables to correlate with the standard form formula which is ax + by = c.
Hope that helps!
Answer:
because they were made of limestone.
Step-by-step explanation:
Over decades of exposure to acid rain, the details of a statue can be lost.
