Answer:
85.5 minutes
Step-by-step explanation:
The amount of an element that will remain after time t can be expressed as a function of initial amount N0, time t, and half life th as;
Nt = N0 × e^(-λt)
Where;
Decay constant λ = ln(2)/th, substituting into the equation;
Nt = N0 × e^(-ln(2)t/th)
We need to make t the subject of formula;
Nt/N0 = e^(-ln(2)t/th)
ln(Nt/N0) = -ln(2)t/th
t = ln(Nt/N0) ÷ -ln(2)/th
Given;
Initial amount N0 = 760g
Final amount Nt = 11 g
Half life th = 14 minutes
the nearest tenth of a minute, would it take the element to decay to 11 grams can be derived using the formula;
t = ln(Nt/N0) ÷ -ln(2)/th
Substituting the given values;
t = ln(11/760) ÷ -ln(2)/14
t = 85.5 minutes
Answer:
1/3 or .75 pounds of strawberries
The answer:
the full question is if f(x) = 3 [ x - 2 ] , what is f(5.9)?
9
10
11
<span>12
</span>first, [x - 2 ] is called the integer part of x-2,
generally, to compute f(c) where c is a real number, it is sufficient to substitute the value of x by c.
so <span>f(5.9) = 3 [ 5.9 - 2 ] = 3 [ 3.9 ]
as we know that </span>[ 3.9 ]=3
<span>
therefore
</span>3 [ 3.9 ]<span>= 3x3 =9
the answer is 9</span>
Answer:
1.75 gallons
1 pint = 0.125 gallon
With that information, we can write a proportion:
= 
Cross multiply:
x = 1.75 gallons
The first step is to distribute:
(10n-6) + (10-35n)
Second step is to combine like terms:
(25n+4)
Answer: (25n+4)
