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if you pull a box an angle does the acceleration change

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g. $\lim_{h \to 0} \frac{\sqrt{2+h}-2}{h}$ h. $\lim_{x \to 5^+} \ln[(2x+1)(x-5)]$ i. $\lim_{t \to 5} \frac{4t^2 - 100}{t - 5}$ j. $\lim_{x \to 4} (\frac{1}{\sqrt{x}-2} - \frac{4}{x-4})$

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Content Groupings in Google Analytics are used to: a. Group website content for better analysis b. Automatically filter out spam c. Lowercase URL parameters d. Track conversions more accurately

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Which organ is NOT found in the abdominal cavity? ? diaphragm ? pancreas ? gallbladder spleen

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Which of the following moral standards would make sense of this judgement about Situation A? (Be aware that multiple answers may be correct. You might think that some answers make more sense than others. It's okay to choose answers that don't make "the most sense", if they still make good sense.) Judgement: "Situation A is unjust." Situation A: “20 percent of the military is black yet only 11 percent of the U.S. is black. Minorities take the dirty jobs (30 percent of cleaners are Hispanics, who are 7 percent of the workforce) and contribute cheap labor (44 percent of farm workers are Hispanic) that lets us live and eat disproportionately well. Twenty-six percent of blacks and 25 percent of Hispanics fall below the poverty line compared to 12 percent of whites. Black and Hispanic infant mortality is double that of whites. Blacks are 11 percent of the U.S. workforce, but hold only 7 percent of all management positions and 6 percent of all engineering jobs." (Velaszquez, p. 32) Group of answer choices An unequal distribution of societal costs to minorities who contribute disproportionately to societal benefits is unjust Expecting people to contribute more than they get back is unjust Discrimination that prevents minorities from getting out of their society what they contribute is unjust An unequal distribution of societal costs is just if it produces the best outcomes for the worst off

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6. A photon of momentum \hbar k has an energy \epsilon_k = ck\hbar k and can be in either of two possible helicity states. Consider a cavity of volume V containing a gas of photons in equilibrium at the temperature T. (a) Give a formal expression for the energy of the photon gas and show that the energy takes the form $E(V, T) = Vu(T)$ where $u(T) \propto T^4$. (b) Using the thermodynamic expression $P = (\partial E/\partial V)_S$, show that the radiation pressure is given by $P = \frac{1}{3}u$. Note that constant entropy, S, means constant occupation probabilities. It may be useful to think of the volume V as a cube of length L on a side.

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(6) Solve the following word problems. Use a calculator. (a) How long in years does it take for an investment of $2000 to triple if it is invested at 5% interest compounded quarterly? Round your final answer to the nearest whole (5 pts ) number.

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Assume the random variable x is normally distributed with mean μ = 173 and standard deviation σ = 20. Find the indicated probability: P(158 < x < 208).

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A simple random sample of size n = 36 is obtained from a population with = 79 and 0 = 18. (a) Describe the sampling distribution of %. (b) What is P (× > 83.95)? (c) What is P (x ≤ 72.25) ? (d) What is P (75.25 < x < 85.3) ?

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Question 7: Compute the Power of the signal $y(t)$ given the following convolution operation $y(t) = h(t) * x(t)$ when $h(t) = 10e^{-10t}U(t)$ and (bonus marks if you find the shortcut and reason appropriately): i. $x(t) = 7U(t)$ ii. $x(t) = 7cos(150\pi t)$

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