If \(\mathcal{B}=\left\{1+x+x^{2},1+x,1\right\}\), find \(\left(p\right)_{\mathcal{B}}\) for the polynomial \(p=5-3x+2x^{2}\).

Optional Exam 1 Definition Retry: D1: State the definition of a linear combination (of matrices). D2: State the definition of a linear transformation. Optional Exam 2 Definition Retry: D3: Complete the following definition: If \(S=\left\{v_{1},v_{2},\ldots,v_{k}\right\}\) is a set of vectors in a vector space \(V\), then \(S\) is linearly independent if: D4: Complete the following definition: If \(S=\left\{v_{1},v_{2},\ldots,v_{k}\right\}\) is a set of vectors in a vector space \(V\), then \(S\) is a basis for \(V\) if:

Magnesium has an atomic number of 12.  Based on this, magnesium is most likely to:

What might an individual do in an attempt to increase his or her political efficacy?

Discuss at least three ways of increasing voter turnout.  Which way do you think would be most effective?  Explain your answer. (3 points)

The prescriber has ordered Hydroxyzine 30 mg IM every 12 hours. Dose range is 0.5-1 mg/kg/dose. The patient weighs 50 Ibs. a) What is the safe range/dose? _______________________mg (if rounding needed, round to the tenth)?

Which of these is a reversible chemical reaction?  Explain how you made the decision you did.A. 2Na + 2H2O → 2NaOH + H2B. ZnCO3 → ZnO + CO2C. H2O + CO2 ↔ H+ + HCO3-D. 2Mg + O2 → 2MgO

Find a basis for the solution space of the following system, and give its dimension. \  

This organ system transports oxygen and nutrients to cells of the body and helps remove carbon dioxide and waste from tissue.

Requiring a photo ID has been shown to most heavily reduce voting among which groups?