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A gun is fired with muzzle velocity 1067 feet per second at a target 4900 feet away. Find the minimum angle of elevation necessary to hit the target. Assume the initial height of the bullet is 0 feet, neglect air resistance, and give your answer in degrees rounded to at least 3 decimal places.

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At December 31, Year 1, the following balances were due from the state government to Carl City's various funds. Capital projects $300,000 Custodial and trust $100,000 Enterprise $80,000 In Carl's December 31 Year 1 financial statements, what amount should be reported in governmental funds? A $480,000 B $100,000 C $300,000 D $180,000

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1) Consider a vector $\overrightarrow{A}$ in two different rectangular coordinate systems, one primed and the other unprimed. The primed coordinate system is rotated counterclockwise through an angle $\theta$, with respect to the unprimed coordinate system. The vector $\overrightarrow{A}$ is fixed during this rotation about the z-axis. Find the relationship between the components of $\overrightarrow{A}$ in the primed system, expressing the primed components in terms of the unprimed components. (i) Draw the figure for the rotation of the primed coordinate system with respect to the unprimed coordinate system. $\overrightarrow{A}$ is fixed during this rotation. (ii) Use this figure to find:

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Bisphosphonate medications (like Boniva) result in osteoclast death. Such medications have been prescribed to those at risk of osteoporosis, but after long term use, some people developed mid-shaft femoral fractures. Why? The medication caused undermineralization of the skeleton and weakness. The medication did not work and these fractures were like those seen in osteoporosis. The medication decreased bone remodeling and microfractures did not heal. The medication interfered with endochondral bone formation.

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true or false Learning theory cannot account for all language development because of the different utterances and errors that young children make.

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In her report to the Minister of Indian Affairs in Canada, Marie Battiste (2002) recommended that Canada support developing research capacit among Indigenous people to study their own languages, teaching, and culture. In this example, Marie likely recommending which of the following approaches? a) Cultural sensitivity b) Cultural sustaniability c) Cultural relevancy

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$M_x(t) = \int_0^\infty e^{tx} \frac{x^{k-1}e^{-x/\theta}}{\theta^k \Gamma(k)} dx$ $ = \frac{1}{\theta^k \Gamma(k)} \int_0^\infty x^{k-1}e^{(t-1/\theta)x} dx$ After the substitution $u = -(t-1/\theta)x$, we obtain $M_x(t) = (\frac{1}{\theta} - t)^{-k} \frac{1}{\theta^k \Gamma(k)} \int_0^\infty u^{k-1}e^{-u} du$ $M_x(t) = (1 - \theta t)^{-k}$ $t < 1/\theta$

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Part A The first-order decomposition of N?O at 1000 K has a rate constant of 0.76 s?¹. If the initial concentration of N?O is 10.9 M, what is the concentration of N?O after 9.6 s? 8.7 × 10?³ M 1.0 × 10?³ M 3.6 × 10?³ M 1.4 × 10?³ M 7.4 × 10?³ M

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#3. Find the limit of the sequence \( \left\{ \left( 1 + \frac{5}{n} \right)^{\frac{n}{2}} \right\}_{n=1}^{\infty} \)

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2. Write the permutation \begin{pmatrix} 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\ 7 & 6 & 4 & 8 & 5 & 3 & 9 & 2 & 1 \end{pmatrix}. as a product of disjoint cycles. Determine the smallest positive integer $n$ such that the permutation $\sigma^n = \sigma \circ \sigma \circ \sigma \circ \dots \circ \sigma$ ($n$ times) is the identity. 3. Find a permutation $\sigma$ of $X = \{1, 2, 3, 4, 5, 6\}$ such that $\sigma \circ (1265) = (2354) \circ \sigma$.

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