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What percentage of the population is represented within one standard deviation? A) 66% B) 68% C) 70% D) 72% E) 74%

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Micrococcus species have a waxy cell wall and are classified as acid-fast.

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Given the following state space equation derive the transfer function of the system $\dot{x}(t) = \begin{bmatrix} -1 & 0 & 0\\ 2 & 0 & -8\\ 1 & 0 & -4 \end{bmatrix} \cdot x(t) + \begin{bmatrix} 2\\ 0\\ 0 \end{bmatrix} \cdot u(t)$ y(t) = $\begin{bmatrix} 1 & 0 & 1 \end{bmatrix} \cdot x(t)$. ???? ?????: $i. \quad T.F = \frac{2s+10}{s(s+4)(s+1)}$ $T.F = \frac{2(s+5)}{s^2+4s+5}$ $T.F = \frac{s+5}{s^2+5s+4}$ $T.F = \frac{2s+10}{s^2+5s+4}$

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a coating is being applied to reduce the reflectivity of a plane of glass to light with a grequency of 5.75x1014 Hz that os incident normally on the plane if magerial has an index of refraction of 1.375 and the glass has an index of 1.537 what is the minimum thickness the coating should have

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r(x) = \frac{(x + 4)}{5x^2 - 5x - 10} = \frac{(x + 4)}{5(x - 2)(x + 1)} (8 pts) For problems 16) - 19), use the rational function, r(x): 16) Determine all x-intercepts, if any exist, of r(x), where r(x) = 0. Bubble all that apply. ? (-4,0) ? (2,0) ? (0,0) ? (-1,0) ? Does not exist 17) Determine the equations of all vertical asymptotes of r(x). Bubble all that apply. ? x = -4 ? x = 0 ? x = 2 ? x = 4 ? x = -1 18) Which simpler function has the same end behavior as r(x). Bubble ONE answer choice. ? y = x ? y = \frac{1}{5x} ? y = \frac{1}{5} ? y = 1 ? y = 5x 19) Determine the equation of the horizontal asymptote of r(x). Bubble ONE answer choice. ? y = 5 ? y = \frac{1}{5} ? y = 1 ? y = 0 ? Does not exist

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Explain the following statement: "Emotion reveals our worldview." Provide an example of each of the three elements that are reflected in our emotions.

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Three of the following statements about a p-value are true. Which one is false? A.If we got a p-value of 0.52, we would not reject the null hypothesis. B. If the p-value is very small, we reject the null hypothesis. C. The p-value is the probability that the null hypothesis is true. D. The p-value is the probability, assuming the null hypothesis is true, of seeing results as (or more) extreme as what we observed in the sample.

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Show Instructions Question 1 20 pts A machine of mass 260 kg is mounted on the middle of a fixed-fixed beam, with a viscous damping mechanism not shown. The steel beam ($E = 207$ GPa) has the following dimensions: $a = 0.05$m, $b = 0.2$ m and $L = 4$m. It has been observed that when a harmonic force of magnitude 1000N is applied, the maximum steady-state response occurred at a frequency of 650 rpm. Determine the equivalent damping constant, neglecting the mass of the beam. $F(t) = F_0 \cos \omega t$ $I = \frac{a^3b}{12}$ 9129 N s/m 7919 s/m 6807 Ns/m 7007 N s/m

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\frac{d\vec{x}}{dt} = \begin{bmatrix} -1 & 2 & 0\\ 2 & -1 & 0\\ 0 & 0 & 1 \end{bmatrix} \vec{x}

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A transverse periodic wave is represented by the equation $y(x, t) = 2.50 \text{ cm } \cos(2,500 \text{ rad/s } t - 15.0 \text{ m}^{-1} x)$. What are the wavenumber $k$ and direction of propagation of the wave?

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