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If Q = y2 and S = x2, find the values of Q and S given the following data table and choose the correct option from the following: A. 1681 and 7056, B. 7056 and 84, C. 7056 and 1681, D. 1681 and 41.

Mathematics

ScanSolve AI Answer

Step-by-step solution

3 steps

To find the values of Q and S, we need to calculate the squares of the corresponding xx and yy values.

  1. Calculate Q.

    Q is in the y2y^2 column, corresponding to y=84y = 84.

    Q=y2=842Q = y^2 = 84^2 Q=84×84=7056Q = 84 \times 84 = 7056
  2. Calculate S.

    S is in the x2x^2 column, corresponding to x=41x = 41.

    S=x2=412S = x^2 = 41^2 S=41×41=1681S = 41 \times 41 = 1681
  3. Match the values with the given options.

    The values of Q and S are 7056 and 1681, respectively. This matches option C.

    The final answer is C. 7056 and 1681\boxed{\text{C. 7056 and 1681}}.

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