Question
Which of the following is developed to result in the answer of 1?(1 point)
Responses
3(80)
3 left parenthesis 8 superscript 0 baseline right parenthesis
50+90
5 superscript 0 baseline plus 9 superscript 0 baseline
13−(7.42)0
13 minus left parenthesis 7.42 right parenthesis superscript 0 baseline
(−2.97)0
Responses
3(80)
3 left parenthesis 8 superscript 0 baseline right parenthesis
50+90
5 superscript 0 baseline plus 9 superscript 0 baseline
13−(7.42)0
13 minus left parenthesis 7.42 right parenthesis superscript 0 baseline
(−2.97)0
Answers
Answered by
GPT-4o mini
To find which of the options results in the answer of 1, we need to evaluate each expression, particularly focusing on any instances of exponentiation with a base raised to the power of 0, since any non-zero number raised to the power of 0 equals 1.
1. **3(80)**: This is simply the product of 3 and 80, which equals 240, not 1.
2. **3(8^0)**: Here, \(8^0\) equals 1. So, \(3 \cdot 1 = 3\), not 1.
3. **50 + 90**: This equals 140, not 1.
4. **5^0 + 9^0**: Both \(5^0\) and \(9^0\) equal 1. Thus, \(1 + 1 = 2\), not 1.
5. **13 - (7.42)^0**: Here, \((7.42)^0\) equals 1. Thus, \(13 - 1 = 12\), not 1.
6. **(-2.97)^0**: This equals 1, since any non-zero number raised to the power of 0 is 1.
Therefore, the only expression that results in the answer of 1 is:
**(−2.97)^0**.
1. **3(80)**: This is simply the product of 3 and 80, which equals 240, not 1.
2. **3(8^0)**: Here, \(8^0\) equals 1. So, \(3 \cdot 1 = 3\), not 1.
3. **50 + 90**: This equals 140, not 1.
4. **5^0 + 9^0**: Both \(5^0\) and \(9^0\) equal 1. Thus, \(1 + 1 = 2\), not 1.
5. **13 - (7.42)^0**: Here, \((7.42)^0\) equals 1. Thus, \(13 - 1 = 12\), not 1.
6. **(-2.97)^0**: This equals 1, since any non-zero number raised to the power of 0 is 1.
Therefore, the only expression that results in the answer of 1 is:
**(−2.97)^0**.
Answer
Which of the following shows the correct process of solving −30+4.5 ?(1 point)
Responses
−30+4.5=−1⋅30+4.5=−1⋅1+4.5=−1+4.5=3.5
negative 3 superscript 0 baseline plus 4.5 equals negative 1 times 3 superscript 0 baseline plus 4.5 equals negative 1 dot 1 plus 4.5 equals negative 1 plus 4.5 equals 3.5
−30+4.5=−3⋅0+4.5=0+4.5=4.5
negative 3 superscript 0 baseline plus 4.5 equals negative 3 times 0 plus 4.5 equals 0 plus 4.5 equals 4.5
−30+4.5=(−3)0+4.5=1+4.5=5.5
negative 3 superscript 0 baseline plus 4.5 equals left parenthesis negative 3 right parenthesis superscript 0 baseline plus 4.5 equals 1 plus 4.5 equals 5.5
−30+4.5=−3+4.5=1.5
Responses
−30+4.5=−1⋅30+4.5=−1⋅1+4.5=−1+4.5=3.5
negative 3 superscript 0 baseline plus 4.5 equals negative 1 times 3 superscript 0 baseline plus 4.5 equals negative 1 dot 1 plus 4.5 equals negative 1 plus 4.5 equals 3.5
−30+4.5=−3⋅0+4.5=0+4.5=4.5
negative 3 superscript 0 baseline plus 4.5 equals negative 3 times 0 plus 4.5 equals 0 plus 4.5 equals 4.5
−30+4.5=(−3)0+4.5=1+4.5=5.5
negative 3 superscript 0 baseline plus 4.5 equals left parenthesis negative 3 right parenthesis superscript 0 baseline plus 4.5 equals 1 plus 4.5 equals 5.5
−30+4.5=−3+4.5=1.5
Answered by
GPT-4o mini
Let's evaluate each of the options to see which one shows the correct process for solving \(-30 + 4.5\):
1. **Option 1:**
\[
-30 + 4.5 = -1 \cdot 30 + 4.5 = -1 \cdot 1 + 4.5 = -1 + 4.5 = 3.5
\]
This option incorrectly evaluates the expression. The correct first step should be \(-30 + 4.5\), and it does not represent the correct process.
2. **Option 2:**
\[
-30 + 4.5 = -3 \cdot 0 + 4.5 = 0 + 4.5 = 4.5
\]
This option is incorrect as \(-30 \neq -3 \cdot 0\), so the calculations are invalid.
3. **Option 3:**
\[
-30 + 4.5 = (-3)^0 + 4.5 = 1 + 4.5 = 5.5
\]
This option is also incorrect because \(-30\) is not equivalent to \((-3)^0\) (which equals 1).
4. **Option 4:**
\[
-30 + 4.5 = -3 + 4.5 = 1.5
\]
This option is incorrect as well because \(-30 + 4.5\) certainly does not simplify to \(-3 + 4.5\).
None of the options show the correct process for solving the expression \(-30 + 4.5\). The correct calculation should simply be:
\[
-30 + 4.5 = -25.5
\]
However, if we are strictly limited to the given choices, then we can conclude that **none of them are correct**.
1. **Option 1:**
\[
-30 + 4.5 = -1 \cdot 30 + 4.5 = -1 \cdot 1 + 4.5 = -1 + 4.5 = 3.5
\]
This option incorrectly evaluates the expression. The correct first step should be \(-30 + 4.5\), and it does not represent the correct process.
2. **Option 2:**
\[
-30 + 4.5 = -3 \cdot 0 + 4.5 = 0 + 4.5 = 4.5
\]
This option is incorrect as \(-30 \neq -3 \cdot 0\), so the calculations are invalid.
3. **Option 3:**
\[
-30 + 4.5 = (-3)^0 + 4.5 = 1 + 4.5 = 5.5
\]
This option is also incorrect because \(-30\) is not equivalent to \((-3)^0\) (which equals 1).
4. **Option 4:**
\[
-30 + 4.5 = -3 + 4.5 = 1.5
\]
This option is incorrect as well because \(-30 + 4.5\) certainly does not simplify to \(-3 + 4.5\).
None of the options show the correct process for solving the expression \(-30 + 4.5\). The correct calculation should simply be:
\[
-30 + 4.5 = -25.5
\]
However, if we are strictly limited to the given choices, then we can conclude that **none of them are correct**.
Answer
a b c or d
Answered by
GPT-4o mini
Based on the provided options, let's reevaluate them quickly to determine which one, if any, demonstrates the closest correct process for solving \(-30 + 4.5\):
1. **Option A:**
\(-30 + 4.5 = -1 \cdot 30 + 4.5 = -1 \cdot 1 + 4.5 = -1 + 4.5 = 3.5\)
**Incorrect.**
2. **Option B:**
\(-30 + 4.5 = -3 \cdot 0 + 4.5 = 0 + 4.5 = 4.5\)
**Incorrect.**
3. **Option C:**
\(-30 + 4.5 = (-3)^0 + 4.5 = 1 + 4.5 = 5.5\)
**Incorrect.**
4. **Option D:**
\(-30 + 4.5 = -3 + 4.5 = 1.5\)
**Incorrect.**
All options given are incorrect for solving \(-30 + 4.5\). The actual answer to \(-30 + 4.5\) is \(-25.5\).
If you must choose an option regardless of correctness, **none** of the options line up with the proper calculation for \(-30 + 4.5\). Thus, you may be looking for which option might represent a smaller error or closer process, but all calculations contain significant missteps.
Please clarify if you want guidance on how to choose the best among incorrect options, or if there might have been a misunderstanding regarding the problem.
1. **Option A:**
\(-30 + 4.5 = -1 \cdot 30 + 4.5 = -1 \cdot 1 + 4.5 = -1 + 4.5 = 3.5\)
**Incorrect.**
2. **Option B:**
\(-30 + 4.5 = -3 \cdot 0 + 4.5 = 0 + 4.5 = 4.5\)
**Incorrect.**
3. **Option C:**
\(-30 + 4.5 = (-3)^0 + 4.5 = 1 + 4.5 = 5.5\)
**Incorrect.**
4. **Option D:**
\(-30 + 4.5 = -3 + 4.5 = 1.5\)
**Incorrect.**
All options given are incorrect for solving \(-30 + 4.5\). The actual answer to \(-30 + 4.5\) is \(-25.5\).
If you must choose an option regardless of correctness, **none** of the options line up with the proper calculation for \(-30 + 4.5\). Thus, you may be looking for which option might represent a smaller error or closer process, but all calculations contain significant missteps.
Please clarify if you want guidance on how to choose the best among incorrect options, or if there might have been a misunderstanding regarding the problem.