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Which of the following is NOT true for cyanobacteria? freshwater cyanotoxins can kill a mammal within an hour . harmful cyanotoxins common in freshwater can be found in saltwater some cyanobacteria and dinoflagellates can produce the same class of harmful compound cyanobacterial blooms only discolor the water with a blue-green hue

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The way of life was completely obliterated by European settlers, from the obviously vital land that was taken from them, to their communal infrastructure.

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Use an inverse trigonometric function to write $\theta$ as a function of x. $\theta = $

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DIRECTIONS: Complete each of the problems according to the instructions given for that problem. Fractions should be reduced, but not written as mixed numbers. Do not use decimal answers. 1. Solve the given linear programming problem. Show work by expressing the constraints as slack variable equations, writing the objective function in standard form, setting up the initial simplex tableau, circling the first pivot element, and giving the final tableau. Maximize: $P = 4x + 6y$ subject to: $3x + y \le 24$ $2x + y \le 18$ $x + 3y \le 24$ $x \ge 0, y \ge 0$ Slack Variable Equations: $3x + y + s_1 = 24$ $2x + y + s_2 = 18$ $x + 3y + s_3 = 24$ Initial Tableau (with the first pivot circled): Objective Function in Standard Form: $P = 4x + 6y + 0s_1 + 0s_2 + 0s_3$ Final Tableau:

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\[ (0,0,0) \] In Exercises 27-30, integrate $ f $ over the givenl cuive. 27. $ f(x, y)=x^{3} / y $ $ C: \quad y=x^{2} / 2, \quad 0 \leq x \leq 2 $

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Question 5 Which of the following series diverge? I. $\sum_{n=0}^{\infty} \left( \frac{\sin 2}{\pi} \right)^n$ II. $\sum_{n=1}^{\infty} \frac{1}{\sqrt[3]{n}}$ III. $\sum_{n=1}^{\infty} \left( \frac{e^n}{e^n + 1} \right)$

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2. The equilibrium partial pressure of Br2 is 4.00 atm and that of NOBr is 8.00 atm. 2NO(g) + Br2(g) \iff 2NOBr(g) $K_p$ = 100 Using the equation above, determine the equilibrium partial pressure of nitrogen monoxide, NO, at equilibrium. (A) 0.320 atm (B) 0.400 atm (C) 0.566 atm (D) 1.77 atm (E) 5.83 atm

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Elastic Cord Force Sensor Cart Motion Sensor 1. A student sets up an experiment with a cart on a level horizontal track. The cart is attached with an elastic cord to a force sensor that is fixed in place on the left end of the track. A motion sensor is at the right end of the track, as shown in the figure above. The cart is given an initial speed of $v_0 = 2.0$ m/s and moves with this constant speed until the elastic cord exerts a force on the cart. The motion of the cart is measured with the motion detector, and the force the elastic cord exerts on the cart is measured with the force sensor. Both sensors are set up so that the positive direction is to the left. The data recorded by both sensors are shown in the graphs of velocity as a function of time and force as a function of time below. Velocity m/s 2+ 0- -2- (a) Calculate the mass $m$ of the cart. -Time (s) Force (N) + 0.5 Area = 1.0 N\s -Time (s) 1.0

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H.W. Q1: Air enters a 7m long section of a rectangular duct of cross section 15 cm x 20 cm at 50°C at an average velocity of 7 m/s. If the walls of the duct are maintained at 10°C, determine (a) the outlet temperature of the air, (b) the rate of heat transfer from the air. Air properties from tables: $\rho$ = 1.127 kg/m³ k = 0.02662 W/m.°C $\nu$ = 1.702×10?? m²/s Answer: (a): $T_e$ = 34.2 °C, $C_p$ = 1007 J/kg.°C Pr = 0.7255 (b): $Q$ = 3776 W Hint: 1- Use the Logarithmic mean temperature difference relations. 2- If: $Re_{cr}$ > 2300, in pipes and ducts, the flow is turbulent. $T_i$ = 10°C Air duct 15 cm x 20 cm Air 50°C 7 m/s L=7m

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Meninges of the Brain 9. Identify the meningeal (or associated) structures described below: 1. outermost meninx covering the brain; composed of tough fibrous connective tissue 2. innermost meninx covering the brain; delicate and highly vascular 3. structures instrumental in returning cerebrospinal fluid to the venous blood in the dural venous sinuses 4. structure that produces the cerebrospinal fluid 5. middle meninx; like a cobweb in structure 6. its outer layer forms the periosteum of the skull 7. a dural fold that attaches the cerebrum to the crista galli of the skull 8. a dural fold separating the cerebrum from the cerebellum

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jodi c.