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Determine Whether Each of the Following "Theorems" Is True or False

question 121

True/False

determine whether each of the following "theorems" is true or false. Assume that a, b, c,
d, and m are integers with m > 1.
-  If ab(modm), then 2a2b(modm)\text { If } a \equiv b ( \bmod m ) \text {, then } 2 a \equiv 2 b ( \bmod m )

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Definitions:

Implicit Memory Effect

The implicit memory effect refers to the influence of previous experiences on performance of a task without conscious recollection of those experiences.

Sequestering Effect

A process in which carbon and other substances are removed from the atmosphere and stored in trees, plants, or the ocean, often discussed in the context of mitigating climate change.

Primacy Effect

The inclination to recall data from the start of a list more accurately than the details following it.

Recency Effect

A memory phenomenon that involves the ability to recall the last items in a series better than those in the middle.

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