The solubilities of the following salts are at a certain temperature. Ag₂SO₄ 0.03m, PbF₂ 1.0x10^-3m, and BaC₂O₄ 10^-4m. Calculate the concentrations of all ions present in each solution. Identify v, v_{_}, and v+. Find m+/- for each solution.

Consider the orthogonal coordinate system x = uv cosθ, y = uv sinθ, z = (u2 −v2)/2, with u,v ≥ 0 and 0 ≤ θ < 2π.
Express the volume element dV in terms of u, v, θ.

The manager of a local hamburger restaurant wants to study customer demand for V-Burgers, a new meatless hamburger. The salesperson for V-Burgers claims that 75% of people who normally eat hamburgers also like V-Burgers. The manager surveyed a random sample of 92 customers who have eaten V-Burgers and found that 54 of them said they would buy one again. Does this data indicate that the salesperson’s claim is too high? Use a 5% level of significance

a). State your hypotheses for the test: [4]

b). Determine the critical value or the p-value. [4]

c). From the question determine the important data with its corresponding notations. [4]

d). Calculate the test statistic for this scenario. [4]

e). Make the necessary decisions and state your conclusions. [4]

A slender rod with a length of 0.280 m rotates with an angular speed of 8.00 rad/s about an axis through one end and perpendicular to the rod. The plane of rotation of the rod is perpendicular to a uniform magnetic field with a magnitude of 0.620 T .

1)What is the induced emf in the rod?

E= V

2)What is the potential difference between its ends?

V=

3)Suppose instead the rod rotates at 8.00 rad/srad/s about an axis through its center and perpendicular to the rod. In this case, what is the potential difference between the ends of the rod?

V=

4)Suppose instead the rod rotates at 8.00 rad/srad/s about an axis through its center and perpendicular to the rod. In this case, what is the potential difference between the center of the rod and one end?

V=

A manufacturer is interested in the output voltage of a power supply used in a PC. Output voltage is assumed to be normally distributed, with standard deviation 0.25 V, and the manufacturer wishes to test H0: μ = 9 V against H1: μ ≠ 9 V with a sample of n = 10 units.

(a) The critical region is defined as , find the type I error probability α.

(b) Find the power of the test for detecting a true mean output voltage of 9.1 V.

c) Find the type I error probability α and the power of the test when n = 16 batches and the boundaries of the critical region do not change.

(d) Suppose that the process engineer wants the type I error probability for the test to be α = 0.05. Where should the critical region be located?

Consider the reversible Carnot cycle shown in the following figure given below with 1.19 mol of an ideal gas with C V,m =5R/2 as the working substance. The initial isothermal expansion occurs at the hot reservoir temperature of T hot = 890 K from an initial volume of 3.85 L ( V a ) to a volume of 10.5 L ( V b ) . The system then undergoes an adiabatic expansion until the temperature falls to T cold = 298 K . The system then undergoes an isothermal compression and a subsequent adiabatic compression until the initial state described by T a = 890 K and V a = 3.85 L is reached. Calculate Vc, Vd , wab,wbc,wcd,wda,wtotal for this step in the cycle. Calculate E . Calculate the amount of heat that is extracted from the hot reservoir to do 1.00 kJ of work in the surroundings.

Water of varying density flows in an estuary, 5 meters deep. The density varies linearly from 1025 kg/m3 at the bottom to 1000 kg/m3 at the water surface. The velocity distribution is given by the equation, V = 8 - ((1/2)(z-4)^2) m/s, where z is elevation above the bottom.

a)Sketch (or plot using software such as Excel or Matlab) the density (ρ) profile, the velocity (V) profile, and the momentum (ρ V) profile

b)Find the two values of z for which velocity equals 7.5 m/s. Does the water have the same momentum at these points? Why or why not

C)Calculate the total momentum, ∫ ρ V d ∀ , for a volume of water 5 m deep, 1 m wide, and 1 m long.

4) Okun's law states that one extra percentage point in unemployment causes A) a 2 percent fall in GDP B) a 0.5 percent fall in GDP C) a 2 percent fall in the rate of inflation D) a 0.5 percent fall in the rate of inflation

5) If output is at its full-employment level, then A) the actual unemployment rate is zero B) the natural rate of unemployment is zero C) there are no frictions in the labor market since wages have reached their market-clearing level D) there is still some positive level of unemployment due to frictions in the labor market

6) The income velocity of money can be calculated using the following formula A) V = M/(PY) B) V = (MY)/P C) V = (PY)/M D) V = MY

You are studying myosin V, a class of myosin which can be used in cells to transport vesicles by “walking” along actin filaments, towards the plus ends of these filaments. You have identified a mutation in the gene for myosin V that affects its ATP binding site. This mutant myosin V (M) can still perform the entire cross-bridge cycle, but it takes much longer to hydrolyze ATP compared to a wild type myosin V (W).

a) Would the duration of the cross-bridge cycle be longer in M or W?Explain?

b) Would the duty cycle (the proportion of the cross-bridge cycle in which myosin is bound to actin) be longer in M or W?Explain?

c) How would this difference in duty cycle affect the ability of M to transport a vesicle along an actin filament? Explain.

1. a. Consider the following sequences, which are pieces of a larger, independently folding polypeptide. Which sequence is more likely to form an alpha helix, and which is more likely to form a beta-hairpin—a two-stranded antiparallel beta-sheet in which the strands are separated by a turn?

Sequence A: I F I C T T G P N A T V I C V F V

Sequence B: M D R L M E A M A K L D H L L A E

b. How do the structures of the residues I, V, and T versus L and M contribute to the conformational preferences of these two sequences?

c. Which residues likely form the turn between the stands in the beta-hairpin? Why are these residues suited for this structure?