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Subtract 4.66×10−5−7.34×10−7(1 point) Responses 2.68×102 2.68 times 10 squared 4.5866×10−5 4.5866 times 10 superscript negative...Asked by puppyhood
Subtract 4.66×10−5−7.34×10−7
(1 point)
Responses
2.68×102
2.68 times 10 squared
4.5866×10−5
4.5866 times 10 superscript negative 5 baseline
−2.68×102
negative 2.68 times 10 squared
−4.5866×10−5
(1 point)
Responses
2.68×102
2.68 times 10 squared
4.5866×10−5
4.5866 times 10 superscript negative 5 baseline
−2.68×102
negative 2.68 times 10 squared
−4.5866×10−5
Answers
Answered by
puppyhood
The U.S. national debt was $2.9617×1013
in 2021 and $3.98×1011
in 1971. Find how much the debt increased in the 50-year period. (1 point)
Responses
$2.9219×1011
2.9219 dollars times 10 superscript 11 baseline
$2.9219×1013
2.9219 dollars times 10 superscript 13 baseline
$1.0183×1024
1.0183 dollars times 10 superscript 24 baseline
$3.0015×1013
3.0015 dollars times 10 superscript 13 baseline
in 2021 and $3.98×1011
in 1971. Find how much the debt increased in the 50-year period. (1 point)
Responses
$2.9219×1011
2.9219 dollars times 10 superscript 11 baseline
$2.9219×1013
2.9219 dollars times 10 superscript 13 baseline
$1.0183×1024
1.0183 dollars times 10 superscript 24 baseline
$3.0015×1013
3.0015 dollars times 10 superscript 13 baseline
Answered by
puppyhood
The size of a hydrogen atom is about 1.2×10−10
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
3.2 ×10−10
m
3.2 times 10 superscript negative 10 baseline m
3.2×10−11
m
3.2 times 10 superscript negative 11 baseline m
3.2×10−9
m
3.2 times 10 superscript negative 9 baseline m
2.72×10−10
m
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
3.2 ×10−10
m
3.2 times 10 superscript negative 10 baseline m
3.2×10−11
m
3.2 times 10 superscript negative 11 baseline m
3.2×10−9
m
3.2 times 10 superscript negative 9 baseline m
2.72×10−10
m
Answered by
puppyhood
Platelets and red blood cells are components of the blood. A typical platelet and red blood cell have diameters of approximately 2.33×10−6
m and 0.0000075 m, respectively. Which blood component has a bigger diameter, and approximately by how much?(1 point)
Responses
A platelet has a bigger diameter than a red blood cell by 9.83×10−6
m.
A platelet has a bigger diameter than a red blood cell by 9.83 times 10 superscript negative 6 baseline m.
A red blood cell has a bigger diameter than a platelet by 5.17×10−6
m.
A red blood cell has a bigger diameter than a platelet by 5.17 times 10 superscript negative 6 baseline m.
A red blood cell has a bigger diameter than a platelet by 9.83×10−6
m.
A red blood cell has a bigger diameter than a platelet by 9.83 times 10 superscript negative 6 baseline m.
A platelet has a bigger diameter than a red blood cell by 5.17×10−6
m.
m and 0.0000075 m, respectively. Which blood component has a bigger diameter, and approximately by how much?(1 point)
Responses
A platelet has a bigger diameter than a red blood cell by 9.83×10−6
m.
A platelet has a bigger diameter than a red blood cell by 9.83 times 10 superscript negative 6 baseline m.
A red blood cell has a bigger diameter than a platelet by 5.17×10−6
m.
A red blood cell has a bigger diameter than a platelet by 5.17 times 10 superscript negative 6 baseline m.
A red blood cell has a bigger diameter than a platelet by 9.83×10−6
m.
A red blood cell has a bigger diameter than a platelet by 9.83 times 10 superscript negative 6 baseline m.
A platelet has a bigger diameter than a red blood cell by 5.17×10−6
m.
Answered by
puppyhood
China and India are the most populous countries in the world. China’s population is approximately 1.45×109
, while India’s population is approximately 1,400,000,000. How many more people live in China than in India?(1 point)
Responses
5×1010
5 times 10 superscript 10 baseline
5×109
5 times 10 superscript 9 baseline
5×107
5 times 10 superscript 7 baseline
5×108
, while India’s population is approximately 1,400,000,000. How many more people live in China than in India?(1 point)
Responses
5×1010
5 times 10 superscript 10 baseline
5×109
5 times 10 superscript 9 baseline
5×107
5 times 10 superscript 7 baseline
5×108
Answered by
GPT-4o mini
To subtract \(4.66 \times 10^{-5}\) and \(7.34 \times 10^{-7}\), we first need to express both numbers with the same exponent.
1. Rewrite \(4.66 \times 10^{-5}\) to have the same exponent as \(7.34 \times 10^{-7}\):
\[
4.66 \times 10^{-5} = 4.66 \times 10^{-5} \times \frac{100}{100} = 4.66 \times 10^{-5} \times 10^{-2} = 4.66 \times 10^{-7} \times 10^{2} = 466 \times 10^{-7}
\]
2. Now we can subtract:
\[
4.66 \times 10^{-5} - 7.34 \times 10^{-7} = 466 \times 10^{-7} - 7.34 \times 10^{-7}
\]
3. Performing the subtraction:
\[
466 - 7.34 = 458.66
\]
4. Putting the result back in scientific notation:
\[
458.66 \times 10^{-7} = 4.5866 \times 10^{-5}
\]
Thus, the final answer is:
**4.5866×10−5**
1. Rewrite \(4.66 \times 10^{-5}\) to have the same exponent as \(7.34 \times 10^{-7}\):
\[
4.66 \times 10^{-5} = 4.66 \times 10^{-5} \times \frac{100}{100} = 4.66 \times 10^{-5} \times 10^{-2} = 4.66 \times 10^{-7} \times 10^{2} = 466 \times 10^{-7}
\]
2. Now we can subtract:
\[
4.66 \times 10^{-5} - 7.34 \times 10^{-7} = 466 \times 10^{-7} - 7.34 \times 10^{-7}
\]
3. Performing the subtraction:
\[
466 - 7.34 = 458.66
\]
4. Putting the result back in scientific notation:
\[
458.66 \times 10^{-7} = 4.5866 \times 10^{-5}
\]
Thus, the final answer is:
**4.5866×10−5**
Answered by
GPT-4o mini
To find how much the U.S. national debt increased from 1971 to 2021, we need to subtract the debt in 1971 from the debt in 2021.
Given:
- National debt in 2021: \(2.9617 \times 10^{13}\)
- National debt in 1971: \(3.98 \times 10^{11}\)
First, we rewrite \(3.98 \times 10^{11}\) in terms of \(10^{13}\):
\[
3.98 \times 10^{11} = 0.0398 \times 10^{13}
\]
Now we can perform the subtraction:
\[
2.9617 \times 10^{13} - 0.0398 \times 10^{13} = (2.9617 - 0.0398) \times 10^{13}
\]
Calculating the subtraction:
\[
2.9617 - 0.0398 = 2.9219
\]
Thus, the increase in national debt is:
\[
2.9219 \times 10^{13}
\]
So, the final answer is:
**$2.9219 \times 10^{13}**
Given:
- National debt in 2021: \(2.9617 \times 10^{13}\)
- National debt in 1971: \(3.98 \times 10^{11}\)
First, we rewrite \(3.98 \times 10^{11}\) in terms of \(10^{13}\):
\[
3.98 \times 10^{11} = 0.0398 \times 10^{13}
\]
Now we can perform the subtraction:
\[
2.9617 \times 10^{13} - 0.0398 \times 10^{13} = (2.9617 - 0.0398) \times 10^{13}
\]
Calculating the subtraction:
\[
2.9617 - 0.0398 = 2.9219
\]
Thus, the increase in national debt is:
\[
2.9219 \times 10^{13}
\]
So, the final answer is:
**$2.9219 \times 10^{13}**
Answered by
GPT-4o mini
To find the difference in size between a hydrogen atom and an oxygen atom, we need to express both sizes in scientific notation and then subtract.
Given:
- Size of a hydrogen atom: \(1.2 \times 10^{-10} \, m\)
- Size of an oxygen atom: \(0.000000000152 \, m = 1.52 \times 10^{-10} \, m\)
Now we can proceed with the subtraction:
\[
1.2 \times 10^{-10} \, m - 1.52 \times 10^{-10} \, m
\]
Since both numbers have the same exponent, we can directly subtract the coefficients:
\[
1.2 - 1.52 = -0.32
\]
Now, we need to express \(-0.32\) in scientific notation:
\[
-0.32 = -3.2 \times 10^{-1}
\]
However, we need to adjust it to match the exponent of \(10^{-10}\):
\[
-0.32 \times 10^{-10} = -3.2 \times 10^{-11}
\]
Thus, the final difference between the sizes of the hydrogen and oxygen atoms is:
**3.2 × 10^{-11} m** (which would be implied as a positive difference in magnitude regardless of the atom size.)
Given:
- Size of a hydrogen atom: \(1.2 \times 10^{-10} \, m\)
- Size of an oxygen atom: \(0.000000000152 \, m = 1.52 \times 10^{-10} \, m\)
Now we can proceed with the subtraction:
\[
1.2 \times 10^{-10} \, m - 1.52 \times 10^{-10} \, m
\]
Since both numbers have the same exponent, we can directly subtract the coefficients:
\[
1.2 - 1.52 = -0.32
\]
Now, we need to express \(-0.32\) in scientific notation:
\[
-0.32 = -3.2 \times 10^{-1}
\]
However, we need to adjust it to match the exponent of \(10^{-10}\):
\[
-0.32 \times 10^{-10} = -3.2 \times 10^{-11}
\]
Thus, the final difference between the sizes of the hydrogen and oxygen atoms is:
**3.2 × 10^{-11} m** (which would be implied as a positive difference in magnitude regardless of the atom size.)
Answered by
GPT-4o mini
To compare the diameters of platelets and red blood cells, we'll first express both sizes in scientific notation.
Given:
- Diameter of a platelet: \(2.33 \times 10^{-6} \, m\)
- Diameter of a red blood cell: \(0.0000075 \, m = 7.5 \times 10^{-6} \, m\)
Now, we can compare the two values:
1. **Comparing the sizes**:
- Diameter of platelet: \(2.33 \times 10^{-6} \, m\)
- Diameter of red blood cell: \(7.5 \times 10^{-6} \, m\)
We see that \(7.5 \times 10^{-6} > 2.33 \times 10^{-6}\), so a red blood cell has a bigger diameter than a platelet.
2. **Calculating the difference**:
\[
7.5 \times 10^{-6} \, m - 2.33 \times 10^{-6} \, m
\]
Calculating the difference in coefficients:
\[
7.5 - 2.33 = 5.17
\]
Thus, the difference in diameter is:
\[
5.17 \times 10^{-6} \, m
\]
So the final answer is:
**A red blood cell has a bigger diameter than a platelet by \(5.17 \times 10^{-6} \, m\).**
Given:
- Diameter of a platelet: \(2.33 \times 10^{-6} \, m\)
- Diameter of a red blood cell: \(0.0000075 \, m = 7.5 \times 10^{-6} \, m\)
Now, we can compare the two values:
1. **Comparing the sizes**:
- Diameter of platelet: \(2.33 \times 10^{-6} \, m\)
- Diameter of red blood cell: \(7.5 \times 10^{-6} \, m\)
We see that \(7.5 \times 10^{-6} > 2.33 \times 10^{-6}\), so a red blood cell has a bigger diameter than a platelet.
2. **Calculating the difference**:
\[
7.5 \times 10^{-6} \, m - 2.33 \times 10^{-6} \, m
\]
Calculating the difference in coefficients:
\[
7.5 - 2.33 = 5.17
\]
Thus, the difference in diameter is:
\[
5.17 \times 10^{-6} \, m
\]
So the final answer is:
**A red blood cell has a bigger diameter than a platelet by \(5.17 \times 10^{-6} \, m\).**
Answered by
GPT-4o mini
To find how many more people live in China than in India, we will first convert both populations into the same form (scientific notation).
Given:
- China’s population: \(1.45 \times 10^9\)
- India’s population: \(1,400,000,000\), which can be written in scientific notation as \(1.4 \times 10^9\).
Now, let's subtract India's population from China's population:
\[
1.45 \times 10^9 - 1.4 \times 10^9
\]
Calculating the difference in coefficients:
\[
1.45 - 1.4 = 0.05
\]
So, the difference in population will be:
\[
0.05 \times 10^9
\]
To express \(0.05\) in scientific notation, it can be rewritten as:
\[
5.0 \times 10^{-2}
\]
Thus, we can re-adjust our expression:
\[
0.05 \times 10^9 = 5.0 \times 10^{-2} \times 10^9 = 5.0 \times 10^{7}
\]
Hence:
\[
5.0 \times 10^7
\]
Therefore, the final answer is:
**5×10^7** (5 times 10 superscript 7 baseline)
Given:
- China’s population: \(1.45 \times 10^9\)
- India’s population: \(1,400,000,000\), which can be written in scientific notation as \(1.4 \times 10^9\).
Now, let's subtract India's population from China's population:
\[
1.45 \times 10^9 - 1.4 \times 10^9
\]
Calculating the difference in coefficients:
\[
1.45 - 1.4 = 0.05
\]
So, the difference in population will be:
\[
0.05 \times 10^9
\]
To express \(0.05\) in scientific notation, it can be rewritten as:
\[
5.0 \times 10^{-2}
\]
Thus, we can re-adjust our expression:
\[
0.05 \times 10^9 = 5.0 \times 10^{-2} \times 10^9 = 5.0 \times 10^{7}
\]
Hence:
\[
5.0 \times 10^7
\]
Therefore, the final answer is:
**5×10^7** (5 times 10 superscript 7 baseline)
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