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Food chains are usually short (only about 5 trophic levels on average) because ________. Question 13 options: only a single species of herbivore feeds on each plant species local extinction of a species causes extinction of the other species in its food chain only 10% of the energy in a trophic level is transferred to the next higher level predator species tend to be less diverse and less abundant than prey species

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initial weight of hydrate was 1.772 g and the weight after three heating was 1.0937g whats the wt% of h2o, how many moles of H2O are present, how many moles of anhydrate is there and what would be the mole ratio between the water and the anhydrtae

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volume of an object with a diameter of 2.0 cm and height 5.0 cm

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ACL injuries are due more to extrinsic (e.g., training) than intrinsic (e.g., hormones) factors. True False

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When converting analog waves to a series of numerical values, the higher the sampling rate, the more accurately the original wave can be recreated. Group of answer choices True False

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What movement was the first visible movement of the third wave of feminism? Riot Grrrl Ecofeminism Power feminism Hip-Hop feminism

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4. We set up the model for the cart-pendulum system in class, and linearized it around the operating point, $(x, \theta, u) = (0, 0, 0)$. Now linearize the system around $(x, \theta, u) = (0, \pi, 0)$, and obtain the transfer function $\Delta u \to \Delta \theta$.

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Part (a) and (b) please How this is done. h+f = f+h1 (4.19) (4.20) Let Ht = fhd and t = c - mn (for i = 1.2. Show that are solutions of 4.19-4.20 and only if, are solutions of = a (4.21) = afu (4.22) where Inverse Function Theorem is an invertible on a neighborhood of 0. We assume it is invertible on the whole interval I and let = a a3-1. Show that if P is a solution of p = cP, then 1 = Pt (4.23) 2t = Pt (4.24) is a solution of the system 4.21-4.22. The DEp = cP is called the fundamental equation for A in the 2x2 case. Next show that if P and P are solutions of Pt = cP which satisfy P0 = 1, P0 = 0, and P0 = 0. P0 = 1 then PP PP is the fundamental matrix for [0 a0 (4.25) (4.26)

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Q3 (3 points) Song et al., 2011 characterize the relationships among the springtime NOx (NO + NO2), O3, and NO3 (defined as the combination of gaseous nitric acid, HNO3, and aerosol nitrate, NO3) concentrations in the ambient air of the vicinity of highways NJ in the U.S East Coast. The 24-h diurnal variations of O3 and NOx could be divided into four periods: (1) morning NOx peak, (2) mid-day O3 formation, (3) afternoon NOx accumulation, and (4) nighttime balancing. Based on the figure below, explain why urban ground-level O3 concentrations peak in the mid-to-late afternoon.

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Find the horizontal asymptote of $f(x) = \frac{x - 4x^3 + 4}{3x^3 + 2x^2 - 5}$ y =

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juan carlos h.