Under the right conditions, it is possible, due to surface tension, to have metal objects float on water. consider placing a short length of a small diameter steel (sp. wt.=510 lb/ft3) rod on a surface of water. what is the maximum diameter, dmax⁡, that the rod can have before it will sink? assume that the surface tension forces act vertically upward. note: a standard paper clip has a diameter of 0.036 in. partially unfold a paper clip and see if you can get it to float on water. do the results of this experiment support your analysis?

3-12. write each answer with a reasonable number of figures. find the absolute uncertainty and percent relative uncertainty for each answer. (a) [12.41 (±0.09) + 4.16 (±0.01)] x 7.068 2 (±0.000 4) =? (b) [3.26 (±0.10) x 8.47 (±0.05)] - 0.18 (±0.06) =? (c) 6.843 (±0.008) x 104 + [2.09 (±0.04)- 1.63 (±0.01)] =?

15 points what is the end behavior of this graph? & what is the asymptote of this graph?

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.