The following while loop is annotated with a pre- and post-condition and also a loop invariant. Use the loop invariant theorem to prove the correctness of the loop with respect to the preand post-conditions.




Mathematics

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Use scientific notation to perform the following operations. Leave your answer in scientific notation.(4 × 104) × (2 × 102)

A. 8.0 × 107  B. 8.0 × 106  C. 8.0 × 108  D. 8.0 × 105 

Mathematics

Factor by grouping.6x2 - 13xt + 6t2

A. (6x - 3t)(x - 2t) B. (2x - 3t)(3x - 2t) C. (6x + 3t)(x + 2t) D. (2x + 3t)(3x + 2t)

Mathematics

Find the equation of the line in slope-intercept form.The line through (4, 3) with slope - 

A. y = x + 
B. y = x + 
C. y = x + 
D. y = x - 

Mathematics

Find the probability.Urn A has balls numbered 1 through 6. Urn B has balls numbered 1 through 5. What is the probability that a 4 is drawn from A followed by a 2 from B?

A.
B.
C.
D.

Mathematics