Question A 0.300 kg toy car moving with a speed of 0.820 m/s collides with a wall. The figure shows the force exerted on the car by the wall over the course of the collision. What is the magnitude of the velocity, or final speed, of the car after the collision?

An electron travels to the right, as shown in the figure below, starting in a region of zero magnetic field, and then entering a region of uniform magnetic field, pointing into the page, with a magnitude of b = 1.20 mT. X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X B=b B=0 (a) Once the electron enters the region of nonzero magnetic field, it travels in a complete semicircle before exiting the region of field again. (That is, it exits the region moving to the left.) How long (in s) is the electron in the region of nonzero field? S (b) The electron penetrates a maximum depth of 2.75 cm into the region of nonzero field. What is the kinetic energy (in eV) of the electron? eV

Willing to provide the best breakfast under a minimum cost for a group of senior citizens, a company formulated a LP model. The breakfast needs to include at least 420 calories, 5 milligrams of iron, 400 milligrams of calcium, 20 grams of protein, 12 grams of fiber, and must have no more than 20 grams of fat and 30 milligrams of cholesterol. The model is Willing to provide the best breakfast under a minimum cost for a group of senior citizens, a company formulated a LP model. The breakfast needs to include at least 420 calories, 5 milligrams of iron, 400 milligrams of calcium, 20 grams of protein, 12 grams of fiber, and must have no more than 20 grams of fat and 30 milligrams of cholesterol. The model is described as follows: Minimize Z = .18x₁ + .22x2 + .10x3 +.12x4+.10x5 +.09x6+ .40x7+.16x8+.50x9 +.07x10 subject to: 90x1 + 110x2 + 100x3 +90x4 + 75x5 + 35x6 + 65x7 + 100xg+ 120x9 + 65x10 ² 420 (calcium) 6x₁ +4x2+2x3 + 3x4 + X5 + X7 + X10 ≥ 5 (iron) 20x₁ +48x2 + 12x3 + 8x4 + 30x5 + 52x7 + 250xg+ 3x9 +26x10 ≥ 400 (calcium) 3x1 + 4x2 + 5x3 + 6x4 + 7x5+2x6+X7 + 9x8+ X9 + 3x10 > 20 (protein) 5x1 + 2x2 + 3x3 + 4x4 + X7 + 3x10 ≥ 12 (fiber) 2x2 + 2x3 + 2x4+ 5x5 + 3x6 + 4Xg+ X10 ≤ 20 (fat) 270x5 + 8x6 + 12xg ≤ 30 (cholesterol) Xij 20 The following table shows the final result. In other words, the best combination of decision variables to obtain the minimal Z (cost). Breakfast Food Bran cereal (x1) = Dry cereal (x2) = Oatmeal (x3) = Oat bran (x4) = Egg (x5)= Bacon (x6) = Orange (x7) = Milk -2% (x8) = Orange juice (x9) = Wheat toast (x 10) = Serving 0.00 0.00 1.02 0.00 0.00 0.00 0.00 1.24 0.00 2.98 O None of the above O x3 ≤ 0.65; x8 ≤ 1.1; and x10 ≤ 2.68; O x3 s 1.65; x8 s 2.1; and x10 s 2.99; Unfortunately, this is not a very tasteful breakfast, as it does not show many options for them in terms of food. Which one of the following options (new constraints that would be added to the model) could help the company to provide a more diversified breakfast, improving the quality of life of the senior citizens (regardless the fact that the cost will be increased)? O x1 ≤ 0.45; x4 ≤ 0.14; and x7 ≥ 3.68; O x2 ≥ 0.65; x7 2 1.8; and x9 ≥ 3; Unit cup cup cup cup egg slice orange cup cup slice

1. Given the following test results, at 25C and pH-7.7. A Dose the analysis appear completed? B: What is total hardness in milligrams per liter as CaCO;? C: What is total alkalinity in milligrams per liter as CaCO3? D. What is SAR? Analysis it. E. Consider stability of water K2 Cations (mg/l) Na Mgt2 45 12 Ca2 28 120 HCO3 Anions (mg/l) NO; CI 33 109 SO, 138 198 2. Given the following incomplete water analysis, determine the unknown values if the alkalinity and noncarbonated hardness are 50 and 150 mg/L as CaCO3, respectively: K+2 Cations (mg/l) Na Mg2 ? ? Ca+2 42 29.5 HCO3 Anions (mg/l) NO CI 4 35.5 SO, 96 ?

Suppose that you are considering going on vacation abroad and that the euro has appreciated by 15% with respect to the U.S. dollar. Would you be more or less willing to visit Rome and Paris?

2-11 Given the following incomplete water analysis, determine the unknown values the alkalinity and noncarbonate hardness are 50 and 150 mg/L as CaCO3, respectively: lon Ca2+ Mg2+ Na+ K+ Concentration, mg/L 42.0 ? ? 29.5 ? 144.0 35.5 4.0 HCO3 SO4 CE NO,

Find parametric equations of the line through (-2,0,3) that is parallel to 2i - 5j+k. X(t) = s(t) = z(t) =