Can someone please check my answers?

I have to put the sequence in order that the events happened.

9.The Lewis and Clark expedition leaves st.louis
8.thomas jefferson authorizes robert livingston to offer $10million for new orleans and west flordia.
10.meriwether lewis and william clark return from their expedition.
1.jefferson persuades congress to sponsor an expedition into the louisiana territory.
7.the federalists support aaron burr in his bid to become governor of newyork.
4.the spanish refuse to allow american goods to move into or past new orleans.
3.the senate gives its approval of the louisiana purchase.
5.alexander hamilton dies after engaging in a duel with aaron burr.
6.jefferson confirms that spain secretly transferred the louisiana territory to france.
2.lieutenant zebulon pike travels through the upper mississippi river valley and into present day colorado

To put the events in the correct order, you can follow these steps:

1. Identify any events that have clear reference points or dates mentioned. In this case, we have some events with specific references:
- Alexander Hamilton's death (Event 5): This historically occurred in 1804.
- Meriwether Lewis and William Clark return from their expedition (Event 10): This is known to have happened after their expedition, which occurred between 1804-1806.

2. Use these reference points to help determine the positions of the other events:
- Event 2 (Lieutenant Zebulon Pike's travels): Since Lewis and Clark's expedition would have provided valuable information about the upper Mississippi River Valley, it is logical to place Pike's travels after their return. This gives us: 10. Meriwether Lewis and William Clark return from their expedition, 2. Lieutenant Zebulon Pike travels through the upper Mississippi River Valley and into present-day Colorado.
- Event 5 (Hamilton's death): Since Hamilton died in 1804, it must be placed before the Lewis and Clark expedition return. This gives us: 5. Alexander Hamilton dies after engaging in a duel with Aaron Burr, 10. Meriwether Lewis and William Clark return from their expedition, 2. Lieutenant Zebulon Pike travels through the upper Mississippi River Valley and into present-day Colorado.

3. Analyze the remaining events and their connections:
- Event 1 (Jefferson persuades Congress to sponsor an expedition): This event likely happened before the Lewis and Clark expedition, as it was the initiation of their journey. This gives us: 1. Jefferson persuades Congress to sponsor an expedition into the Louisiana Territory, 5. Alexander Hamilton dies after engaging in a duel with Aaron Burr, 10. Meriwether Lewis and William Clark return from their expedition, 2. Lieutenant Zebulon Pike travels through the upper Mississippi River Valley and into present-day Colorado.
- Event 3 (The Senate gives its approval of the Louisiana Purchase): Since the Louisiana Purchase was necessary for the Lewis and Clark expedition to explore the newly acquired territory, it must have occurred before their return. This gives us: 1. Jefferson persuades Congress to sponsor an expedition into the Louisiana Territory, 3. The Senate gives its approval of the Louisiana Purchase, 5. Alexander Hamilton dies after engaging in a duel with Aaron Burr, 10. Meriwether Lewis and William Clark return from their expedition, 2. Lieutenant Zebulon Pike travels through the upper Mississippi River Valley and into present-day Colorado.

4. Continue analyzing the remaining events:
- Event 6 (Jefferson confirms that Spain secretly transferred the Louisiana Territory to France): This event presumably happened before the Senate's approval of the Louisiana Purchase, as that would be the official acknowledgment of the territory transfer. This gives us: 1. Jefferson persuades Congress to sponsor an expedition into the Louisiana Territory, 6. Jefferson confirms that Spain secretly transferred the Louisiana Territory to France, 3. The Senate gives its approval of the Louisiana Purchase, 5. Alexander Hamilton dies after engaging in a duel with Aaron Burr, 10. Meriwether Lewis and William Clark return from their expedition, 2. Lieutenant Zebulon Pike travels through the upper Mississippi River Valley and into present-day Colorado.

5. Examine the remaining events:
- Event 4 (The Spanish refuse to allow American goods to move into or past New Orleans): This event would have occurred before the Louisiana Purchase, as it prompted Jefferson to pursue negotiations for the acquisition of New Orleans and west Florida. This gives us: 1. Jefferson persuades Congress to sponsor an expedition into the Louisiana Territory, 6. Jefferson confirms that Spain secretly transferred the Louisiana Territory to France, 3. The Senate gives its approval of the Louisiana Purchase, 4. The Spanish refuse to allow American goods to move into or past New Orleans, 5. Alexander Hamilton dies after engaging in a duel with Aaron Burr, 10. Meriwether Lewis and William Clark return from their expedition, 2. Lieutenant Zebulon Pike travels through the upper Mississippi River Valley and into present-day Colorado.

6. Analyze the remaining events:
- Event 8 (Thomas Jefferson authorizes Robert Livingston's offer): This event likely happened before the Spanish refusal, as it involved negotiations for New Orleans. This gives us: 1. Jefferson persuades Congress to sponsor an expedition into the Louisiana Territory, 6. Jefferson confirms that Spain secretly transferred the Louisiana Territory to France, 8. Thomas Jefferson authorizes Robert Livingston to offer $10 million for New Orleans and West Florida, 3. The Senate gives its approval of the Louisiana Purchase, 4. The Spanish refuse to allow American goods to move into or past New Orleans, 5. Alexander Hamilton dies after engaging in a duel with Aaron Burr, 10. Meriwether Lewis and William Clark return from their expedition, 2. Lieutenant Zebulon Pike travels through the upper Mississippi River Valley and into present-day Colorado.

7. Analyze the remaining events:
- Event 7 (The Federalists support Aaron Burr): This event seems unrelated to the others. However, since it doesn't conflict with any other events, we can place it earlier in the sequence. This gives us: 1. Jefferson persuades Congress to sponsor an expedition into the Louisiana Territory, 6. Jefferson confirms that Spain secretly transferred the Louisiana Territory to France, 8. Thomas Jefferson authorizes Robert Livingston to offer $10 million for New Orleans and West Florida, 3. The Senate gives its approval of the Louisiana Purchase, 4. The Spanish refuse to allow American goods to move into or past New Orleans, 7. The Federalists support Aaron Burr in his bid to become governor of New York, 5. Alexander Hamilton dies after engaging in a duel with Aaron Burr, 10. Meriwether Lewis and William Clark return from their expedition, 2. Lieutenant Zebulon Pike travels through the upper Mississippi River Valley and into present-day Colorado.

8. Verify the sequence:
The final sequence, based on the analysis above, is:
1. Jefferson persuades Congress to sponsor an expedition into the Louisiana Territory
6. Jefferson confirms that Spain secretly transferred the Louisiana Territory to France
8. Thomas Jefferson authorizes Robert Livingston to offer $10 million for New Orleans and West Florida
3. The Senate gives its approval of the Louisiana Purchase
4. The Spanish refuse to allow American goods to move into or past New Orleans
7. The Federalists support Aaron Burr in his bid to become governor of New York
5. Alexander Hamilton dies after engaging in a duel with Aaron Burr
10. Meriwether Lewis and William Clark return from their expedition
2. Lieutenant Zebulon Pike travels through the upper Mississippi River Valley and into present-day Colorado

Please note that while the sequence provided has been determined by the analysis of the available information, historical events can be complex and interpretations may vary.