Area and Perimeter of Composite Figures Flashcards

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algebra

Describe how the graph of g (x) = ∛(x - 4) is related to the graph of f(x) = √x.

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linear algebra

Determine if the given set of vectors is a basis of $R^5$ . If not, then determine the dimension of the subspace spanned by the vectors.

\left\{\left[\begin{array}{l} 1 \\ 2 \\ 3 \\ 4 \\ 5 \end{array}\right],\left[\begin{array}{l} 2 \\ 3 \\ 4 \\ 5 \\ 1 \end{array}\right],\left[\begin{array}{l} 3 \\ 4 \\ 5 \\ 1 \\ 2 \end{array}\right],\left[\begin{array}{l} 4 \\ 5 \\ 1 \\ 2 \\ 3 \end{array}\right],\left[\begin{array}{l} 5 \\ 1 \\ 2 \\ 3 \\ 4 \end{array}\right]\right\}

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discrete math

Generalize the previous problem. Let a and b be integers and let A={x $\in \mathbb{Z}$ :a|x} and B={x $\in \mathbb{Z}$ :b|x}. Find and prove a necessary and sufficient condition for A $\subseteq$ B. In other words, given the notation developed, find and prove a theorem of the form "A $\subseteq$ B if and only if some condition involving a and b."

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statistics

Determine whether the table represents a discrete probability distribution. If not, explain why not.

\begin{array}{cc} \hline x & P(x)\\ \hline 100 & 0.2\\ 200 & 0.3\\ 300 & 0.5\\ 400 & 0.4\\ 500 & 0.1\\ \hline \end{array}

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