Let's answer your questions one by one.
Question 9: To determine how many half-lives have occurred after 67.5 hours, we divide the total time by the half-life: \[ \text{Number of half-lives} = \frac{67.5 \text{ hours}}{7.5 \text{ hours}} = 9 \] So, the answer is c. 9 half-lives.
Question 10: Without a visual reference to the graph, I cannot directly identify which segment represents the squirrel heading toward its nest. Typically, a segment that slopes back towards the origin or a point designated as the nest would indicate this motion. You would need to look for a segment that shows a decrease in distance from the nest.
If you are able to provide the details of the graph's segments, I can assist you more accurately in determining which one represents the squirrel heading toward its nest.
Question 11: To find the time it takes for Amelia to swim 600 meters at an average speed of 8 meters per second, we can use the formula: \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{600 \text{ m}}{8 \text{ m/s}} = 75 \text{ seconds} \] So, the answer is c. 75 seconds.
Question 12: For the total distance and total displacement calculation, let's denote the distances:
- B to A (let's say d1 meters)
- A to D (let's say d2 meters)
- D to C (let's say d3 meters)
Total distance = d1 + d2 + d3 (add all the distances)
Total displacement = Straight line distance from the starting point (B) to the endpoint (C), which is given as a specific distance East.
Unfortunately, you need to provide the actual distances or details to fill in Blank 1 (Total distance) and Blank 2 (Total displacement in meters).
Question 13: Using Newton's second law, the formula for acceleration is: \[ \text{Force} = \text{mass} \times \text{acceleration} \] Rearranging this gives: \[ \text{acceleration} = \frac{\text{Force}}{\text{mass}} = \frac{10 \text{ N}}{4.0 \text{ kg}} = 2.5 \text{ m/s}^2 \] So, to the nearest tenth, the answer is 2.5.
If you have any further questions or need clarification on any of the above, feel free to ask!
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