answer:The dot product of two vectors vec{u} and vec{v} is calculated as follows: vec{u} cdot vec{v} = (-2.15)(8.89) + (2.19)(-2.28) + (8.57)(-3.36) + (-0.71)(-8.34) + (-9.27)(-3.36) + (6.86)(-2.92) vec{u} cdot vec{v} = -19.2535 - 4.9992 - 28.7808 + 6.0462 + 31.1532 - 20.0572 Adding the terms together: vec{u} cdot vec{v} = -35.8645 Thus, the dot product is -35.8645.

answer:Given: {eq}displaystyle m = 16 g {/eq} is the mass {eq}displaystyle rho = 22 g/mL {/eq} is the density To find the volume, we can use the formula: {eq}displaystyle rho = frac{m}{V} {/eq} where {eq}displaystyle rho {/eq} is density, {eq}displaystyle m {/eq} is mass, and {eq}displaystyle V {/eq} is volume. Rearranging the formula to solve for {eq}displaystyle V {/eq}, we get: {eq}displaystyle V = frac{m}{rho} {/eq} Substituting the given values, we get: {eq}displaystyle V = frac{16 g}{22 g/mL} {/eq} {eq}displaystyle V = 0.73 mL {/eq} Therefore, the volume of the liquid in the container is 0.73 milliliters.

answer:1. First-in, First-out (FIFO) Method: July 1: Beginning inventory = 5 units at 130 per unit July 6: Sale of 3 units (from July 1 purchase) = 390 July 11: Purchase 6 units at 144 per unit July 14: Sale of 3 units (2 from July 1 purchase, 1 from July 11 purchase) = 260 (2x130) + 144 July 21: Purchase 7 units at 155 per unit July 27: Sale of 5 units (3 from July 11 purchase, 2 from July 21 purchase) = 432 (3x144) + 310 Ending inventory: 5 units (remaining from July 11 purchase) at 155 per unit = 775 2. Moving-average cost method: July 1: Beginning inventory = 5 units at 130 per unit = 650 July 6: Sale of 3 units (from July 1 purchase) = 390 Balance: 2 units at an average cost of 130 per unit = 260 July 11: Purchase 6 units at 144 per unit New average cost = (260 + 6x144) / (2+6) = 140.50 July 14: Sale of 5 units (2 from July 1 balance, 3 from July 11 purchase) = 702.50 (2x140.50) + 432 Balance: 3 units at an average cost of 140.50 per unit = 421.50 July 21: Purchase 7 units at 155 per unit New average cost = (421.50 + 7x155) / (3+7) = 150.65 July 27: Sale of 5 units (3 from July 11 balance, 2 from July 21 purchase) = 753.25 (3x140.50) + (2x150.65) Ending inventory: 5 units (remaining from July 21 purchase) at 150.65 per unit = 753.25 3. Last-in, First-out (LIFO) Method: July 1: Beginning inventory = 5 units at 130 per unit July 6: Sale of 3 units (from July 1 purchase) = 390 July 11: Purchase 6 units at 144 per unit July 14: Sale of 5 units (3 from July 1 purchase, 2 from July 11 purchase) = 432 (3x130) + (2x144) July 21: Purchase 7 units at 155 per unit July 27: Sale of 5 units (5 from July 21 purchase) = 775 (5x155) Ending inventory: 5 units (remaining from July 11 purchase) at 144 per unit = 720 Note: The ending inventory values are based on the assumption that sales are always fulfilled by the most recent purchases first, as per the FIFO and LIFO methods, and the average cost is recomputed after each purchase and sale, as per the moving-average cost method.

answer:During the second trimester, the fetus grows rapidly, reaching a length of 6 to 14 inches and a weight of approximately one and a half pounds. Key milestones include the strengthening of the heartbeat, development of skin, fingernails, and toenails. The fetus also begins to suck its thumb, have hiccups, open its eyes, and develop a strong grip.