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Chapter 1: Problem 5
For \(i=\sqrt{-1}\), which of the following complex numbers is equivalent to \(\left(10 i-4 i^2\right)-(7-3 i) ?\) A) \(-11+7 i\) B) \(-3+13 i\) C) \(3-13 i\) D) \(11-7 i\)
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Heinrich must buy at least 100 shares of stock for his portfolio. The shares he buys will be from Stock \(X\), which costs \(\$ 22\) per share and Stock \(Y\), which costs \(\$ 35\) per share. His budget for buying stock is no more than \(\$ 4,500\). He must buy at least 20 shares of Stock \(X\) and 15 shares of Stock Y. Which of the following represents the situation described if \(a\) is the number of shares of Stock X purchased and \(b\) is the number of shares of Stock \(Y\) purchased? A) \(\begin{aligned} & 22 a+35 b \leq \\ & a+b \geq 100 \\ & a \leq 20 \\ & b \leq 15\end{aligned}\) B) \(22 a+35 b \leq 4,500\) \(a+b \leq 100\) \(a \leq 20\) \(b \leq 15\) C) \(22 a+35 b \leq 4,500\) \(a+b \leq 100\) \(a \geq 20\) \(b \geq 15\) D) \(22 a+35 b \leq 4,500\) \(a+b \geq 100\) \(a \geq 20\) \(b \geq 15\) $$ x^2-8 x+5 $$
Which of the following is equivalent to \(\frac{z^2+7 z-3}{z+2}\) ? A) \(z+5-\frac{13}{z+2}\) B) \(z+5-\frac{7}{z+2}\) C) \(z+9-\frac{21}{z-2}\) D) \(z+9-\frac{15}{z-2}\)
A certain homeowner uses a gas edger to clean up his lawn every time he mows. If the edger uses 160 milliliters of fuel each time, what is the maximum number of times the homeowner can edge his lawn with 8 liters of fuel? \((1\) liter \(=1,000\) milliliters \()\) A) 5 B) 50 C) 100 D) 1,000 $$ \begin{aligned} &\text { Assignment Choice for Two Physics Classes }\\\ &\begin{array}{|l|c|c|c|} \hline & \text { Dr. Soper } & \text { Mr. Coelho } & \text { Total } \\ \hline \text { Lab Report Only } & 17 & 21 & 38 \\ \hline \begin{array}{l} \text { Lab Report and Final } \\ \text { Exam } \end{array} & 3 & 2 & 5 \\ \hline \text { Total } & 20 & 23 & 43 \\ \hline \end{array} \end{aligned} $$
A) NO CHANGE B) goes, then C) goes; then D) goes. Then
The graph of a line in the \(x y\)-plane passes through the point \((-2, k)\) and crosses the \(x\)-axis at the point \((-4,0)\). The line crosses the \(y\)-axis at the point \((0,12)\). What is the value of \(k\) ? $$ 5\left(10 x^2-300\right)+\left(9,844+50 x^2\right) $$
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