The amount of iodine 131 remaining in a sample that originally contained A grams is approximately C(t) = A(0.9175)t where t is time in days. (a) Find, to the nearest whole number, the percentage of iodine 131 left in an originally pure sample after 2 days, 4 days, and 6 days. 2 days % 4 days % 6 days % (b) Use a graph to estimate, to the nearest day, when one half of a sample of 100 grams will have decayed. |days
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
g
![### Iodine-131 Decay Information
The amount of iodine-131 remaining in a sample that originally contained \( A \) grams is approximately given by the formula:
\[ C(t) = A(0.9175)^t \]
where \( t \) is time in days.
#### Calculations to Determine Remaining Percentage
(a) Find, to the nearest whole number, the percentage of iodine-131 left in an originally pure sample after:
- **2 days**: [Input Box] %
- **4 days**: [Input Box] %
- **6 days**: [Input Box] %
#### Half-Life Estimation using Graph
(b) Use a graph to estimate, to the nearest day, when one half of a sample of 100 grams will have decayed:
- [Input Box] days
Note: The graph, although not shown here, should plot the remaining amount \( C(t) \) over time \( t \) to visually approximate the half-life.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2d890e9c-fe88-4cd1-bfab-a11ce990423c%2Fbc0d7919-a208-47b1-8397-bd705a375078%2F6go24u_processed.png&w=3840&q=75)
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
