( economic) (macro economic ) The aggregate demand (AD) curve is modelled by the following system of three equations: y = α0-α₁r +α₂g + α 3 (e + p³ − p) + α4yf (1) y = ßo + ß₁(m − p) + B₂r (2) r = rf - No - £₁ (e + pf − p) − α₂yƒ + N³y - (3) where y is the log of output, r is interest rate, m is the log of money supply, g is the log of government spending, e is the log of exchange rate, p is the log of price level, and a0, a1, a2, α3, α4, Bo, B1, B2, 0, 1, 2 and 3 are positive parameters. The superscript f denotes a variable of foreign country. a) Explain the economic relationships modeled in equations (1), (2) and (3)..

Consider the following data: HX → X- + H+ Ką = 6.61 · 10- 5 H2A + НА + Н + Ka = 2.68 · 10-7 Calculate the Keg for the following reaction: H2A + X¯ + HA¯ +HX Record your answer in scientific notation to 3 sig figs.

Question 2. Alldredge studies the properties of marine snow in Ref. [2]. The figure below is adapted from this work, and plots the mass of different particles of fecal marine snow as a function of their volume on a log-log scale. In[Particle Mass M (ug) / (1 µg)] 5.0 4.5 4.0 3.5 3.0 2.5 2.0 1.5 1.0 ● 0 Fecal snow Line of best fit 2 3 4 5 In[Particle Volume V (mm³) / (1 mm³)] 6

environmental chemist working for the Environmental Protection Agency (EPA) was directed to collect razor clams from a heavily-contaminated river superfund site and analyze them for cadmium (Cd²+) content using graphite furnace atomic absorption spectrometry (GFAAS). The chemist dried the clams at 95° C overnight and ground them in a scientific blender, resulting in ~ 50 g of homogenized dry weight. A representative 61.00 mg sample was taken from the ~ 50 g of dry material and dissolved in 100.00 mL of 0.1 M HCI to create a sample solution. Using the method of standard additions, the chemist prepared five standard solutions in 100.00-mL volumetric flasks, each containing 5.00-mĹ aliquots of the sample solution. Varying amounts of a 87.0 ppb (ug · L-1) cadmium standard were added to each of the flasks, which were then brought to volume with 0.1 M HCI. The solutions were then examined for their Cd²+ content using GFAAS, resulting in the following absorbance data. Sample Vol. (mL) Cd2+…

Q2// The four-cylinder engine of a light truck owned by a utility company has been converted to run on methane (CH4) fuel. A dry analysis of the engine exhaust gives the following volumetric percentages: CO2= 10%, CO= 0.53%, 02=2.37% Calculate the equivalence ratio at which the engine is operating.

You are a Quality Manager for a very well-known food ingredient company that produces umami powder, and you are responsible for setting specification limits. The net weight (in grams) of bags of unami powder is monitored by taking samples of six bags on an hourly basis during production. The label on every bag reports a contents of 1KG umami powder. The process mean is μ = 1012 g, and when the process is properly adjusted, it varies with σ = 11 g.   QUESTION: Using all the available information, set the upper and lower specification limits.

You are a Quality Manager for a very well-known food ingredient company that produces umami powder, and you are responsible for setting specification limits. The net weight (in grams) of bags of unami powder is monitored by taking samples of six bags on an hourly basis during production. The label on every bag reports a contents of 1KG umami powder. The process mean is μ = 1012 g, and when the process is properly adjusted, it varies with σ = 11 g.   QUESTION: Provide a valid and full justification as to whether you would advise your manager that the process is satisfactory when it is properly adjusted, or would you seek their approval to improve the process?

You are a Quality Manager for a very well-known food ingredient company that produces umami powder, and you are responsible for setting specification limits. The net weight (in grams) of bags of unami powder is monitored by taking samples of six bags on an hourly basis during production. The label on every bag reports a contents of 1KG umami powder. The process mean is μ = 1012 g, and when the process is properly adjusted, it varies with σ = 11 g. QUESTION: Your organisation strives to ensure that >99.97% of bags of umami powder produced conforms to specification. What performance process index value is required to achieve this process yield? Calculate PPK using the following formula: Ppk = (USL – mean)/3 σ Ppk = (mean -LSL)/ 3 σ

Substance AG°F (kJ/mol) FeO(s) -255.2 H2(g) Fe(s) H20(1) Pb(s) -237.2 02(g) H2SO4(aq) PbSO4(s) -744.5 -813.0

The percentage of an additive in gasoline was measured six times with the following results: 0.13; 0.12; 0.16; 0.17; 0.20 and 0.11%. What is the 99% confidence interval for the additive percentage?