Given:
Initial mass, m₀ = 23 g
Decay constant, k = 0.13
Exponential decay obeys the equation

where t = time, days
For half life, the mass is m = m₀/2.
Therefore

Answer: The half life is 5.33 days
Answer:
Average rate of change=-3
Step-by-step explanation:
The average rate of change is given by the relation between the values of f(x) and x, in two different points as follows:

In this case, 
Therefore,

27/20
= 20/20 + 7/20
= 1 + 7/20
= 1.00 + 0.35
= 1.35
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List of values to remember (extras):
0.05 = 1/20 = 5%
0.10 = 1/10 = 10%
0.15 = 3/20 = 15%
0.20 = 1/5 = 20%
0.25 = 1/4 = 25%
0.30 = 3/10 = 30%
0.35 = 7/20 = 35%
0.40 = 2/5 = 40%
0.45 = 9/20 = 45%
0.50 = 1/2 = 50%
0.55 = 11/20 = 55%
0.60 = 3/5 = 60%
0.65 = 13/20 = 65%
0.70 = 7/10 = 70%
0.75 = 3/4 = 75%
0.80 = 4/5 = 80%
0.85 = 17/20 = 85%
0.90 = 9/10 = 90%
0.95 = 19/20 = 95%
1.00 = 1 = 100%
Answer:
x = 60°
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Geometry</u>
- A box on an angle signifies a 90° angle
- All angles in a triangle add up to 180°
Step-by-step explanation:
<u>Step 1: Set up equation</u>
x° + 90° + 30° = 180°
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: x + 120 = 180
- Subtract 120 on both sides: x = 60°