Numerade

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2) The square root of 25 is 5.

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Given that $g(x) = x^3$, find $(g \circ g)(-3)$. $(g \circ g)(-3) = $ (Simplify your answer.)

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A corporation randomly selects 20 salespeople and finds that 65% who have never taken a self-improvement course would like such a course. The firm did a similar study 10 years ago in which 68.75% of a random sample of 16 salespeople wanted a self-improvement course. The groups are assumed to be independent random samples. Let π1 and π2 represent the true proportion of workers who would like to attend a self-improvement course in the recent study and the past study, respectively. what is the test statistic when testing whether the population proportions are different if the level of significance is 1%? 2.1098 0.00833 6.635 0.0563

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Evaluate the following integral.\\ $\int \frac{80x^2}{x^4 - 58x^2 + 441} dx$\\ Find the partial fraction decomposition of the integrand.\\ $\int \frac{80x^2}{x^4 - 58x^2 + 441} dx = \int \Box dx$\\ Evaluate the indefinite integral.\\ $\int \frac{80x^2}{x^4 - 58x^2 + 441} dx = \Box$

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Q25 Consider a P lattice of atoms. a. What is the most likely family of slip planes in a P lattice? Explain your answer briefly. b. What is the most likely family of slip directions in a P lattice? Explain your answer briefly. c. A tensile stress in the [210] direction is applied to a cubic P lattice. Determine a likely slip system (slip plane + slip direction) under these conditions. Explain your answer briefly. d. Calculate the effective shear stress in the slip direction you chose in 25c, under the influence of the externally applied stress in the [210] direction. Use the in-product \cos \phi = (ax + by + cz) / (||[abc]|| ||[xyz]||) to solve this question, in which ||[abc]|| is the length of the vector.

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2H$_2$O(l) \rightleftharpoons H$_3$O$^+$(aq) + OH$^-$(aq) \quad K = K_w = 1 \times 10$^\text{-14}$ @298K\newline\Delta H^\circ_\text{RXN} = 56 \text{ kJ/mol} \quad \Delta S^\circ_\text{RXN} = -80 \text{ J/mol K} \quad R = 8.3 \text{ J/mol K}\newline(ICE \text{ table method}) Consider the chemical reaction A(aq) + B(l) \rightleftharpoons 2C(aq) \text{ with } K = 23.0; \text{ \"K\" is the equilibrium}\constant. At time = 0, 0.200 \text{ moles of substance \"A\" are added to a beaker containing 1.00L of solvent \"B\" and there is}\zero \text{ initial substance \"C\". Recognize that species \"B\" is a pure liquid (solvent) in which the reaction is occurring. Utilize}\text{the ICE Table Method (show your work to obtain any credit!) to determine the concentrations of both \"A\" and \"C\" once}\text{the system establishes equilibrium. All of these substances are neutral and thus we will assume that the activity}\text{coefficients to be equal to 1.0 for this question. Report your final concentrations with 3 significant digits. You can}\text{assume the volume of the entire solution is also 1.00L.}

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The speed of a wave in a Certain medium is 650 m/s. If 300 waves Passes over a certain Point of the medium in 2 minutes then Compute its wavelength?

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10 Question (5 Points) In the system shown in figure (a), m(t) is a low-pass signal with bandwidth W Hz. The frequency response of the band-pass filter H(f) is shown in figure (b). If it is desired that the output signal z(t) = 10x(t), the maximum value of W (in Hz) should be strictly less than x(t) = m(t) \cos(2400\pi t), y(t) = 10x(t) + x^2(t) Amplifier H(f) Band-pass filter (a) H(f) 1 -1700 -700 0 (b) 700 1700 \text{ (Hz)} Enter your answer

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The market supply curve for paper is currently estimated to be: Q(S) = 100 + 10P What is the producer surplus when the market price is equal to $50? my answer is producer surplus (1/2)*600*40=12000

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You are implementing a RAID storage system and have found a system with eight 100 GB drives. How much storage space will you have available for RAID0, RAID1, RAID5?

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kyle d.