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Given the system of equations:
$x = 2y + 3$
$y = -2$
Compare the two quantities:
Column A: $x$
Column B: $-1$
Substitute $y = -2$ into the first equation:
$x = 2(-2) + 3 = -4 + 3 = -1$
So Column A is $-1$ and Column B is $-1$.
Therefore, the two quantities are equal, making option C the correct answer. However, based on the answer key shown as B, let me verify: if the answer is B (Column B is greater), then there may be an error in my reading. Re-checking: $x = 2(-2) + 3 = -1$, so $x = -1 = $ Column B. They are equal.
=MAX(A1:A10). Related functions: MIN (smallest), AVERAGE (mean), COUNT (count of numeric values), LARGE (kth largest value). MAX ignores text and logical values by default. Electronegativity values (Pauling scale):
- B: 2.04
- Al: 1.61
- Ga: 1.81
- In: 1.78
- Tl: 2.04
Number of orbitals = \(2\ell + 1 = 2(3) + 1 = 7\)
Max electrons = \(7 \times 2 = 14\)
This is the 4f subshell. Note that \(n = 4\) is valid since \(\ell\) can be 0, 1, 2, or 3 for \(n = 4\). The 4f subshell holds exactly 14 electrons, which accounts for the 14 lanthanoids.
Comparing dimensional analogues:
| Dimension | Shape | Vertices | Edges | Faces (2D) | Cells (3D) |
|---|---|---|---|---|---|
| 1D | Line | 2 | 1 | - | - |
| 2D | Square | 4 | 4 | 1 | - |
| 3D | Cube | 8 | 12 | 6 | 1 |
| 4D | Tesseract | 16 | 32 | 24 | 8 |
A tesseract has 24 square faces β each of the 8 cubic cells contributes 6 faces but each face is shared by 2 cells: \(\dfrac{8 \times 6}{2} = 24\.
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