A new operation is defined as \begin{align*} 2 \oplus 4 &= 2+3+4+5 = 14 \\ 5\oplus 3 &= 5+6+7=18 \end{align*} Find the value of $m$ in $m \oplus 7 = 49$.
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A
1
B
2
C
3
D
4
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Let $m=4$ \begin{equation*} 4+5+6+7+8+9+10=49 \end{equation*}
Let $m=4$ \begin{equation*} 4+5+6+7+8+9+10=49 \end{equation*}
A new operation is defined as \begin{align*} 3.0\Lambda 3.0&=3.0+4.0+5.0 = 12.0\\ 4.0\Lambda 3.0 &=4.0+5.0+6.0 = 15.0\end{align*} Find the value of $a$ in $a \Lambda 5.0 = 3.0$.
Let $a=5.0$ \begin{equation*}5.0+6.0+7.0=18.0 \end{equation*}
A new operation is defined as \begin{align*} 6.0\Sigma 3.0&=6.0+7.0+8.0 = 21.0\\ 7.0\Sigma 3.0 &= 7.0+8.0+9.0 = 24.0\end{align*} Find the value of $a$ in $a \Sigma 8.0 = 3.0$.
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A
7.0
B
9.0
C
8.0
D
10.0
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Let $a=8.0$ \begin{equation*}8.0+9.0+10.0=27.0 \end{equation*}
Let $a=8.0$ \begin{equation*}8.0+9.0+10.0=27.0 \end{equation*}
A new operation is defined as \begin{align*} 9.0\Sigma 3.0&=9.0+10.0+11.0 = 30.0\\ 10.0\Sigma 3.0 &= 10.0+11.0+12.0 = 33.0\end{align*} Find the value of $a$ in $a \Sigma 11.0 = 3.0$.
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A
10.0
B
12.0
C
13.0
D
11.0
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Let $a=11.0$ \begin{equation*}11.0+12.0+13.0=36.0 \end{equation*}
Let $a=11.0$ \begin{equation*}11.0+12.0+13.0=36.0 \end{equation*}
A new operation is defined as \begin{align*} 3.0\oplus 4.0&=3.0+4.0+5.0+6.0 = 18.0\\ 4.0\oplus 4.0 &=4.0+5.0+6.0+7.0 = 22.0\end{align*} Find the value of $a$ in $a \oplus 5.0 = 4.0$.
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A
5.0
B
4.0
C
6.0
D
7.0
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Let $a=5.0$ \begin{equation*}5.0+6.0+7.0+8.0=26.0 \end{equation*}
Let $a=5.0$ \begin{equation*}5.0+6.0+7.0+8.0=26.0 \end{equation*}
A new operation is defined as \begin{align*} 6.0\Delta 4.0&=6.0+7.0+8.0+9.0 = 30.0\\ 7.0\Delta 4.0 &= 7.0+8.0+9.0+10.0 = 34.0\end{align*} Find the value of $a$ in $a \Delta 8.0 = 4.0$.
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A
7.0
B
8.0
C
9.0
D
10.0
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Let $a=8.0$ \begin{equation*}8.0+9.0+10.0+11.0=38.0 \end{equation*}
Let $a=8.0$ \begin{equation*}8.0+9.0+10.0+11.0=38.0 \end{equation*}
A new operation is defined as \begin{align*} 9.0\Delta 4.0&=9.0+10.0+11.0+12.0 = 42.0\\ 10.0\Delta 4.0 &= 10.0+11.0+12.0+13.0 = 46.0\end{align*} Find the value of $a$ in $a \Delta 11.0 = 4.0$.
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A
10.0
B
11.0
C
12.0
D
13.0
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Let $a=11.0$ \begin{equation*}11.0+12.0+13.0+14.0=50.0 \end{equation*}
Let $a=11.0$ \begin{equation*}11.0+12.0+13.0+14.0=50.0 \end{equation*}
A new operation is defined as \begin{align*} 3.0\Sigma 5.0&=3.0+4.0+5.0+6.0+7.0 = 25.0\\ 4.0\Sigma 5.0 &= 4.0+5.0+6.0+7.0+8.0 = 30.0\end{align*} Find the value of $a$ in $a \Sigma 5.0 = 5.0$.
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A
4.0
B
6.0
C
5.0
D
7.0
Sorry. Please check the correct answer below.
Let $a=5.0$ \begin{equation*}5.0+6.0+7.0+8.0+9.0=35.0 \end{equation*}
Let $a=5.0$ \begin{equation*}5.0+6.0+7.0+8.0+9.0=35.0 \end{equation*}
A new operation is defined as \begin{align*} 6.0\Lambda 5.0&=6.0+7.0+8.0+9.0+10.0 = 40.0\\ 7.0\Lambda 5.0 &=7.0+8.0+9.0+10.0+11.0 = 45.0\end{align*} Find the value of $a$ in $a \Lambda 8.0 = 5.0$.
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A
7.0
B
9.0
C
10.0
D
8.0
Sorry. Please check the correct answer below.
Let $a=8.0$ \begin{equation*}8.0+9.0+10.0+11.0+12.0=50.0 \end{equation*}
Let $a=8.0$ \begin{equation*}8.0+9.0+10.0+11.0+12.0=50.0 \end{equation*}
A new operation is defined as \begin{align*} 9.0\Delta 5.0&=9.0+10.0+11.0+12.0+13.0 = 55.0\\ 10.0\Delta 5.0 &= 10.0+11.0+12.0+13.0+14.0 = 60.0\end{align*} Find the value of $a$ in $a \Delta 11.0 = 5.0$.
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A
10.0
B
12.0
C
11.0
D
13.0
Sorry. Please check the correct answer below.
Let $a=11.0$ \begin{equation*}11.0+12.0+13.0+14.0+15.0=65.0 \end{equation*}
Let $a=11.0$ \begin{equation*}11.0+12.0+13.0+14.0+15.0=65.0 \end{equation*}
A new operation is defined as \begin{align*} 3.0\Delta 6.0&=3.0+4.0+5.0+6.0+7.0+8.0 = 33.0\\ 4.0\Delta 6.0 &= 4.0+5.0+6.0+7.0+8.0+9.0 = 39.0\end{align*} Find the value of $a$ in $a \Delta 5.0 = 6.0$.
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A
4.0
B
6.0
C
5.0
D
7.0
Sorry. Please check the correct answer below.
Let $a=5.0$ \begin{equation*}5.0+6.0+7.0+8.0+9.0+10.0=45.0 \end{equation*}
Let $a=5.0$ \begin{equation*}5.0+6.0+7.0+8.0+9.0+10.0=45.0 \end{equation*}
A new operation is defined as \begin{align*} 6.0\oplus 6.0&=6.0+7.0+8.0+9.0+10.0+11.0 = 51.0\\ 7.0\oplus 6.0 &=7.0+8.0+9.0+10.0+11.0+12.0 = 57.0\end{align*} Find the value of $a$ in $a \oplus 8.0 = 6.0$.
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A
7.0
B
8.0
C
9.0
D
10.0
Sorry. Please check the correct answer below.
Let $a=8.0$ \begin{equation*}8.0+9.0+10.0+11.0+12.0+13.0=63.0 \end{equation*}
Let $a=8.0$ \begin{equation*}8.0+9.0+10.0+11.0+12.0+13.0=63.0 \end{equation*}
A new operation is defined as \begin{align*} 9.0\oplus 6.0&=9.0+10.0+11.0+12.0+13.0+14.0 = 69.0\\ 10.0\oplus 6.0 &=10.0+11.0+12.0+13.0+14.0+15.0 = 75.0\end{align*} Find the value of $a$ in $a \oplus 11.0 = 6.0$.
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A
10.0
B
11.0
C
12.0
D
13.0
Sorry. Please check the correct answer below.
Let $a=11.0$ \begin{equation*}11.0+12.0+13.0+14.0+15.0+16.0=81.0 \end{equation*}