Numerade

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2.12. Richard is driving home to visit his parents. 125 mi of the trip are on the interstate highway where the speed limit is 65 mph. Normally Richard drives at the speed limit, but today he is running late and decides to take his chances by driving at 70 mph. How many minutes does he save on this stretch of road?

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Which is the most common ion channel in the animal cell?

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Suppose that $g(x) = 7^x + 2$. (a) What is $g(-1)$? When $x = -1$, what is the point on the graph of $g$? (b) If $g(x) = 51$, what is $x$? When $g(x) = 51$, what is the point on the graph of $g$? (a) $g(-1) = oxed{}$. The point $oxed{}$ is on the graph of $g$. (Type integers or simplified fractions.)

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The nominal rate is 6% per quarter. What is the effective semi-annual interest rate if compounded monthly? Use: i = (1 + (r/m))^m - 1

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Even though many older adults have health problems, such as chronic illnesses and other functional issues, many also rate their current health as “very good” or “excellent”. What are some possible reasons that might explain this seeming inconsistency regarding self-reported health? Pick at least three of the following terms to use (and define) in your response: chronological age, subjective age, social age, mental age, perceptions of aging, social comparison, ageism, and functional cognitive/physical status.

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Which statement accurately describes the outcome of Bradenburg v. Ohio? The Court held that freedom of speech may not be denied to those advocating violence, as long as the advocacy will not incite imminent lawless action. The Court held that teachers and students have rights to free speech while at school, unless allowing that freedom of expression interferes with the appropriate discipline required of a school setting. By a unanimous verdict, the Court held that falsely shouting \"fire\" in a crowded theater is not a type of speech that is protected by the First Amendment.

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4. For the molecules shown below: (3 points) (a) H-O-N=O (b) H-C-C=O i) Give approximate values for the indicated bond angles by filling the table below. Also indicate the central atom hybridization. (NOTE: Pay attention to the actual geometry and not how it is written on paper) Angle Approximate value for bond angle Central atom (in bold) hybridization 1 HON 2 ONO 3 HCH 4 CCO ii) For structure \"a\" $HNO_2$ indicate the number of sigma and pi bonds and the number of nonbonding electron pairs in the molecule. Molecule Number of sigma bonds Number of pi bonds Nonbonding electron pairs a

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13. Draw structure of organic product(s) for each reaction (15 pts) a) $\text{NH}_2$ $ + \text{H}_3\text{O}^+ $ $\xrightarrow{\text{heat}}$ b) $ + \text{NH}_3 \xrightarrow{} $ c) $\text{OH} + \xrightarrow{\text{H}^+ \text{heat}}$ d) $\text{CH}_3(\text{CH}_2)_{15}\text{CH}_2$ $ + \text{NaOH} \xrightarrow{} $ e) $ + \text{H}_2\text{O} \xrightarrow{\text{H}^+}$

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Capital gain is treated as a type of investment income for tax purposes. a) True b) False

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This question has two parts. Answer the first part correctly to get the second part. \begin{bmatrix} 1 & 3 & 3 \\ 1 & 1 & 0 \\ -1 & 1 & 2 \end{bmatrix} has eigenvalue $\lambda_1 = 2$ with eigenvector $\vec{v}_1 = \begin{bmatrix} 3 \\ 3 \\ -2 \end{bmatrix}$ and eigenvalue $\lambda_2 = 1$ of multiplicity 2 with eigenvector $\vec{v}_2 = \begin{bmatrix} 0 \\ 1 \\ -1 \end{bmatrix}$. All other eigenvectors for 1 are scalar multiples of $\vec{v}_2$, so $\lambda_2$ has defect one. Use $\vec{v}_2$ to make a generalized eigenvector $\vec{v}_3$ : $\begin{bmatrix} 1 \\ 0 \\ 0 \end{bmatrix}$ Find the general solution $\vec{x}(t)$ of $\vec{x'} = A\vec{x}$ : $\begin{bmatrix} \\ \\ c_2e^t + c_3te^t \end{bmatrix}$ (Use $c_1, c_2, c_3$ for the constants corresponding to $\vec{v}_1, \vec{v}_2, \vec{v}_3$.) Part 2 of 2

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michael s.