Question
The size of a hydrogen atom is about 1.2×10 to the power of −10 m across. The size of an oxygen atom is 0.000000000152 m across. What is the difference between the sizes of these atoms in scientific notation?(1 point)
Responses
Responses
Answers
Answer
Platelets and red blood cells are components of the blood. A typical platelet and red blood cell have diameters of approximately 2.33×10 to the power of −6 m and 0.0000075 m, respectively. Which blood component has a bigger diameter, and approximately by how much?(1 point)
Responses
Responses
Answer
China and India are the most populous countries in the world. China’s population is approximately 1.45×10 to the power of 9 , while India’s population is approximately 1,400,000,000. How many more people live in China than in India?(1 point)
Answer
Of the following, who emerged as a strong leader and organizer of colonial protests and public support?
(1 point)
Responses
Crispus Attucks
Crispus Attucks
John Adams
John Adams
Samuel Adams
Samuel Adams
George Grenville
(1 point)
Responses
Crispus Attucks
Crispus Attucks
John Adams
John Adams
Samuel Adams
Samuel Adams
George Grenville
Answer
Why did colonists oppose writs of assistance?
(1 point)
Responses
They thought it limited their access to land.
They thought it limited their access to land.
They thought it violated their rights.
They thought it violated their rights.
They thought it unfairly taxed goods and services they produced.
They thought it unfairly taxed goods and services they produced.
They thought it gave Native Americans an advantage over trade.
(1 point)
Responses
They thought it limited their access to land.
They thought it limited their access to land.
They thought it violated their rights.
They thought it violated their rights.
They thought it unfairly taxed goods and services they produced.
They thought it unfairly taxed goods and services they produced.
They thought it gave Native Americans an advantage over trade.
Answer
3 of 33 of 3 Items
Question
Which of the following was designed to keep the colonists from moving into the Ohio River Valley?
(1 point)
Responses
Pontiac’s Proclamation
Pontiac’s Proclamation
Stamp Act
Stamp Act
Proclamation of 1763
Proclamation of 1763
Townshend Acts
Townshend Acts
Answered by
GPT-4o mini
To find the difference between the sizes of a hydrogen atom and an oxygen atom, we need to express both sizes in scientific notation and then perform the subtraction.
- The size of a hydrogen atom is given as \(1.2 \times 10^{-10} \, \text{m}\).
- The size of an oxygen atom is given as \(0.000000000152 \, \text{m}\), which can be written in scientific notation as \(1.52 \times 10^{-10} \, \text{m}\).
Now we can find the difference:
1. Write both sizes in scientific notation:
- Hydrogen atom: \(1.2 \times 10^{-10} \, \text{m}\)
- Oxygen atom: \(1.52 \times 10^{-10} \, \text{m}\)
2. Subtract the size of the hydrogen atom from the size of the oxygen atom:
\[
1.52 \times 10^{-10} - 1.2 \times 10^{-10} = (1.52 - 1.2) \times 10^{-10} = 0.32 \times 10^{-10}
\]
3. Convert \(0.32 \times 10^{-10}\) to scientific notation:
\[
0.32 \times 10^{-10} = 3.2 \times 10^{-11} \, \text{m}
\]
So, the difference between the sizes of these atoms in scientific notation is:
\[
\mathbf{3.2 \times 10^{-11} \, m}
\]
- The size of a hydrogen atom is given as \(1.2 \times 10^{-10} \, \text{m}\).
- The size of an oxygen atom is given as \(0.000000000152 \, \text{m}\), which can be written in scientific notation as \(1.52 \times 10^{-10} \, \text{m}\).
Now we can find the difference:
1. Write both sizes in scientific notation:
- Hydrogen atom: \(1.2 \times 10^{-10} \, \text{m}\)
- Oxygen atom: \(1.52 \times 10^{-10} \, \text{m}\)
2. Subtract the size of the hydrogen atom from the size of the oxygen atom:
\[
1.52 \times 10^{-10} - 1.2 \times 10^{-10} = (1.52 - 1.2) \times 10^{-10} = 0.32 \times 10^{-10}
\]
3. Convert \(0.32 \times 10^{-10}\) to scientific notation:
\[
0.32 \times 10^{-10} = 3.2 \times 10^{-11} \, \text{m}
\]
So, the difference between the sizes of these atoms in scientific notation is:
\[
\mathbf{3.2 \times 10^{-11} \, m}
\]
Answered by
GPT-4o mini
To determine which blood component has a bigger diameter and by how much, we'll first convert the diameters of the platelets and red blood cells into scientific notation.
1. **Diameter of a platelet:**
- Given as \(2.33 \times 10^{-6} \, \text{m}\).
2. **Diameter of a red blood cell:**
- Given as \(0.0000075 \, \text{m}\).
- In scientific notation, this can be expressed as \(7.5 \times 10^{-6} \, \text{m}\).
### Comparison
Now we can compare the two diameters:
- Diameter of a platelet: \(2.33 \times 10^{-6} \, \text{m}\)
- Diameter of a red blood cell: \(7.5 \times 10^{-6} \, \text{m}\)
### Which is bigger?
Since \(7.5 \times 10^{-6} > 2.33 \times 10^{-6}\), **the red blood cell has a bigger diameter.**
### By how much?
To find out by how much the diameter of the red blood cell exceeds that of the platelet, we subtract the two values:
\[
7.5 \times 10^{-6} \, \text{m} - 2.33 \times 10^{-6} \, \text{m} = (7.5 - 2.33) \times 10^{-6} = 5.17 \times 10^{-6} \, \text{m}
\]
### Conclusion
The red blood cell has a bigger diameter than the platelet by approximately **\(5.17 \times 10^{-6} \, \text{m}\)**.
1. **Diameter of a platelet:**
- Given as \(2.33 \times 10^{-6} \, \text{m}\).
2. **Diameter of a red blood cell:**
- Given as \(0.0000075 \, \text{m}\).
- In scientific notation, this can be expressed as \(7.5 \times 10^{-6} \, \text{m}\).
### Comparison
Now we can compare the two diameters:
- Diameter of a platelet: \(2.33 \times 10^{-6} \, \text{m}\)
- Diameter of a red blood cell: \(7.5 \times 10^{-6} \, \text{m}\)
### Which is bigger?
Since \(7.5 \times 10^{-6} > 2.33 \times 10^{-6}\), **the red blood cell has a bigger diameter.**
### By how much?
To find out by how much the diameter of the red blood cell exceeds that of the platelet, we subtract the two values:
\[
7.5 \times 10^{-6} \, \text{m} - 2.33 \times 10^{-6} \, \text{m} = (7.5 - 2.33) \times 10^{-6} = 5.17 \times 10^{-6} \, \text{m}
\]
### Conclusion
The red blood cell has a bigger diameter than the platelet by approximately **\(5.17 \times 10^{-6} \, \text{m}\)**.
Answered by
GPT-4o mini
To find out how many more people live in China than in India, we will express both populations in the same format (scientific notation) and then perform the subtraction.
1. **Population of China:**
- Given as \(1.45 \times 10^9\).
2. **Population of India:**
- Given as \(1,400,000,000\).
- In scientific notation, this can be expressed as:
\[
1,400,000,000 = 1.4 \times 10^9.
\]
### Comparison
Now we can compare the two populations:
- Population of China: \(1.45 \times 10^9\)
- Population of India: \(1.4 \times 10^9\)
### How many more people live in China than in India?
To find the difference, we subtract the population of India from the population of China:
\[
(1.45 \times 10^9) - (1.4 \times 10^9) = (1.45 - 1.4) \times 10^9 = 0.05 \times 10^9.
\]
### Convert to scientific notation
Now, we convert \(0.05 \times 10^9\) to scientific notation:
\[
0.05 \times 10^9 = 5.0 \times 10^7.
\]
### Conclusion
China has approximately \(5.0 \times 10^7\) more people living in it than India. In standard notation, this is approximately **50,000,000** people.
1. **Population of China:**
- Given as \(1.45 \times 10^9\).
2. **Population of India:**
- Given as \(1,400,000,000\).
- In scientific notation, this can be expressed as:
\[
1,400,000,000 = 1.4 \times 10^9.
\]
### Comparison
Now we can compare the two populations:
- Population of China: \(1.45 \times 10^9\)
- Population of India: \(1.4 \times 10^9\)
### How many more people live in China than in India?
To find the difference, we subtract the population of India from the population of China:
\[
(1.45 \times 10^9) - (1.4 \times 10^9) = (1.45 - 1.4) \times 10^9 = 0.05 \times 10^9.
\]
### Convert to scientific notation
Now, we convert \(0.05 \times 10^9\) to scientific notation:
\[
0.05 \times 10^9 = 5.0 \times 10^7.
\]
### Conclusion
China has approximately \(5.0 \times 10^7\) more people living in it than India. In standard notation, this is approximately **50,000,000** people.
Answered by
GPT-4o mini
The strong leader and organizer of colonial protests and public support among the options provided is **Samuel Adams**. He was instrumental in organizing resistance against British policies, including the Stamp Act and the Boston Tea Party, and played a key role in rallying public support for independence.
Answered by
GPT-4o mini
Colonists opposed writs of assistance because **they thought it violated their rights**. Writs of assistance were general search warrants that allowed British officials to search colonists' homes and businesses without specific cause or evidence, leading to concerns about privacy and the protection of individual liberties. This perception contributed to growing resentment toward British authority.
Answered by
GPT-4o mini
The correct answer is **Proclamation of 1763**. This proclamation was issued by King George III, and it aimed to restrict colonial expansion into the Ohio River Valley and beyond, in order to avoid conflicts with Native American tribes following the French and Indian War.
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