Answer:
10.7 years
Step-by-step explanation:
The decay equation can be written as ...
remaining = initial × (1/2)^(t/(half-life))
Filling in the given values, we can solve for t.
0.100 = 1.35 × (1/2)^(t/2.86)
0.100/1.35 = (1/2)^(t/2.86) divide by 1.35
Taking logs transforms this to a linear equation:
log(0.100/1.35) = (t/2.86)log(1/2)
Since log(a/b) = -log(b/a), we can multiply both sides by -1 and simplify the logs a bit.
log(1.35/.1) = t·(log(2)/2.86)
2.86·log(13.5)/log(2) = t ≈ 10.7 . . . . years
The decay time is about 10.7 years.
Choice C is correct because 10k = 125 so k is 12.5
Answer:
90
Step-by-step explanation:
3b/3=180/3
then u simplify
ur answer will be
b=90
Answer:
x=8
Step-by-step explanation:
Area is equal to
A = l * w
50 = ( x+2) ( x-3)
FOIL
50 = x^2 -3x+2x -6
Combine like terms
50 = x^2 -x -6
Subtract 50 from each side
0 = x^2 -x -56
Factor
What two numbers multiply to -56 and add to -1
-8*7 = -56
-8+7 = -1
0 = ( x-8) ( x+7)
Using the zero product property
x-8 =0 x+7 =0
x = 8 x=-7
Since the length cannot be negative x cannot be negative
x=8
0.24 as a fraction equals 6/25
