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Cylinders
A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.
Cones
A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.
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- Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.lineer sistemin varsa çözümünü bulunuz. (Gauss Metodunu uygulayınız.)The Grand Canyon and the Colorado River are beautiful, rugged, and sometimes dangerous. Assume there is a physician at the park clinic in Grand Canyon Village. Suppose the physician has recorded (for a 5-year period) the number of visitor injuries at different landing points for commercial boat trips down the Colorado River in both the Upper and Lower Grand Canyon. Upper Canyon: Number of injuries per Landing Point BetweenNorth Canyon and Phantom Ranch 2 3 1 1 3 4 8 11 3 1 3 Lower Canyon: Number of injuries per Landing Point BetweenBright Angel and Lava Falls 10 1 1 0 8 9 2 11 3 0 1 10 2 1 The mean, median, and mode for Upper Canyon are 3.636, 3.0, and 3, respectively. The mean, median, and mode for Lower Canyon are 4.286, 2.0, and 1, respectively.Compare the mean, median, and mode found in Upper Canyon and Lower Canyon, respectively.
- Based on Angel et al. (2003). A fertilizer companyis trying to determine the cheapest fertilizer mix thatprovides desired amounts of nutrients. The mix ismade by combining the following fertilizers: SSA,SPO, GUR, TSP, KCI, FERT, and SPF. The mix cannot contain both GUR and TSP. The percentage ofpotassium (K), sulfur (S), calcium (Ca), sodium (Na)and phosphorus (P) in each fertilizer is listed in the fileP06_88.xlsx. For example, a pound of SSA is 16% Kand 26% Na. The mix must contain at least 600 poundsof K, 550 pounds of S, 750 pounds of Ca, 900 poundsof Na, and 750 pounds of P. The mix cannot containboth GUR and TSP, because if both are present in themix, the affect of other fertilizers is nullified. The costper pound (in cents) of each fertilizer is listed in thesame file. Develop a linear integer model to find theminimum-cost fertilizer mixture that meets the statedchemical requirements.the soil biogeochemistry in Californian salt marshes wished to explore how two of the most common plant species, pickleweed and pacific cordgrass, affected the accumulation of nitrogen in the soil. They measured the concentration of ammonium, a molecular form of organic nitrogen, in the soil, and measured or manipulated the density of pickleweed and cordgrass. Manipulations of ½ meter square plots (20 plots per manipulation) included removing all cordgrass (cordgrass removal), removing all pickleweed (pickleweed removal), or mixed (the control - nothing removed, thus mixed plots included a mixture of natural pickleweed and cordgrass). Boxplots of ammonium concentrations in each of the three manipulation treatments. Letters indicate differences among means as determined by a Tukey posthoc test following ANOVA. (b) Overall relationship between cordgrass stem density and soil ammonium content (includes data from all plot treatments). The solid black line and the gray shading represent the…Athlete Knee Valgus Max During OH Squat Glute Med MVIC During SL Hop Stop Hop Distance (cm) Strength Deadlift Speed (Post-season) Speed Pre-season BW (kg) L R L R L R Squat (lbs) Postseason Preseason Trial 1 Trial 2 Trial 3 Best time Athlete #1 G 83 6.2 3.5 41% 55% 189 191 260 280 290 1.01 0.99 0.98 0.98 Athlete #2 G 89 6.4 6 39% 44% 186 199 280 305 315 0.99 0.99 0.98 0.97 Athlete #3 G 82.5 6.4 5.5 44% 47% 179 180 275 260 290 1.14 1.12 1.16 1.13 Athlete #4 C 130 5.7 2.2 48% 81% 195 196 350 325 345 1.03 1.09 1.11 1.08 Athlete #5 F 100 6.3 4.7 42% 70% 191 184 300 240 250 1.1 1 1.05 1.02 Athlete #6 F 100 5.8 3.5 44% 74% 194 197 300 315 320 0.96 0.95 0.94 0.92 Athlete #7 G 82.5 6.3 5.5 38% 48% 210 206 310 350 365 0.99 1 1.03 1.02 Athlete #8 F 94.5 6.2 5.1 38% 50% 182 190 295 300 360 1.1 1.12 1.05 1.04 Athlete #9 F 90 5.4 4.8 47% 63% 185 185 235 300 350 1.08 1.07 1.05 1.05 Athlete #10 F 92 7.5 6.1 29% 39% 205 203 345 335 365 1.07 1.09 1.11 1.08 Athlete #11…
- Athlete Knee Valgus Max During OH Squat Glute Med MVIC During SL Hop Stop Hop Distance (cm) Strength Deadlift Speed (Post-season) Speed Pre-season BW (kg) L R L R L R Squat (lbs) Postseason Preseason Trial 1 Trial 2 Trial 3 Best time Athlete #1 G 83 6.2 3.5 41% 55% 189 191 260 280 290 1.01 0.99 0.98 0.98 Athlete #2 G 89 6.4 6 39% 44% 186 199 280 305 315 0.99 0.99 0.98 0.97 Athlete #3 G 82.5 6.4 5.5 44% 47% 179 180 275 260 290 1.14 1.12 1.16 1.13 Athlete #4 C 130 5.7 2.2 48% 81% 195 196 350 325 345 1.03 1.09 1.11 1.08 Athlete #5 F 100 6.3 4.7 42% 70% 191 184 300 240 250 1.1 1 1.05 1.02 Athlete #6 F 100 5.8 3.5 44% 74% 194 197 300 315 320 0.96 0.95 0.94 0.92 Athlete #7 G 82.5 6.3 5.5 38% 48% 210 206 310 350 365 0.99 1 1.03 1.02 Athlete #8 F 94.5 6.2 5.1 38% 50% 182 190 295 300 360 1.1 1.12 1.05 1.04 Athlete #9 F 90 5.4 4.8 47% 63% 185 185 235 300 350 1.08 1.07 1.05 1.05 Athlete #10 F 92 7.5 6.1 29% 39% 205 203 345 335 365 1.07 1.09 1.11 1.08 Athlete #11…Athlete Knee Valgus Max During OH Squat Glute Med MVIC During SL Hop Stop Hop Distance (cm) Strength Deadlift Speed (Post-season) Speed Pre-season BW (kg) L R L R L R Squat (lbs) Postseason Preseason Trial 1 Trial 2 Trial 3 Best time Athlete #1 G 83 6.2 3.5 41% 55% 189 191 260 280 290 1.01 0.99 0.98 0.98 Athlete #2 G 89 6.4 6 39% 44% 186 199 280 305 315 0.99 0.99 0.98 0.97 Athlete #3 G 82.5 6.4 5.5 44% 47% 179 180 275 260 290 1.14 1.12 1.16 1.13 Athlete #4 C 130 5.7 2.2 48% 81% 195 196 350 325 345 1.03 1.09 1.11 1.08 Athlete #5 F 100 6.3 4.7 42% 70% 191 184 300 240 250 1.1 1 1.05 1.02 Athlete #6 F 100 5.8 3.5 44% 74% 194 197 300 315 320 0.96 0.95 0.94 0.92 Athlete #7 G 82.5 6.3 5.5 38% 48% 210 206 310 350 365 0.99 1 1.03 1.02 Athlete #8 F 94.5 6.2 5.1 38% 50% 182 190 295 300 360 1.1 1.12 1.05 1.04 Athlete #9 F 90 5.4 4.8 47% 63% 185 185 235 300 350 1.08 1.07 1.05 1.05 Athlete #10 F 92 7.5 6.1 29% 39% 205 203 345 335 365 1.07 1.09 1.11 1.08 Athlete #11…Athlete Knee Valgus Max During OH Squat Glute Med MVIC During SL Hop Stop Hop Distance (cm) Strength Deadlift Speed (Post-season) Speed Pre-season BW (kg) L R L R L R Squat (lbs) Postseason Preseason Trial 1 Trial 2 Trial 3 Best time Athlete #1 G 83 6.2 3.5 41% 55% 189 191 260 280 290 1.01 0.99 0.98 0.98 Athlete #2 G 89 6.4 6 39% 44% 186 199 280 305 315 0.99 0.99 0.98 0.97 Athlete #3 G 82.5 6.4 5.5 44% 47% 179 180 275 260 290 1.14 1.12 1.16 1.13 Athlete #4 C 130 5.7 2.2 48% 81% 195 196 350 325 345 1.03 1.09 1.11 1.08 Athlete #5 F 100 6.3 4.7 42% 70% 191 184 300 240 250 1.1 1 1.05 1.02 Athlete #6 F 100 5.8 3.5 44% 74% 194 197 300 315 320 0.96 0.95 0.94 0.92 Athlete #7 G 82.5 6.3 5.5 38% 48% 210 206 310 350 365 0.99 1 1.03 1.02 Athlete #8 F 94.5 6.2 5.1 38% 50% 182 190 295 300 360 1.1 1.12 1.05 1.04 Athlete #9 F 90 5.4 4.8 47% 63% 185 185 235 300 350 1.08 1.07 1.05 1.05 Athlete #10 F 92 7.5 6.1 29% 39% 205 203 345 335 365 1.07 1.09 1.11 1.08 Athlete #11…
- Insurance companies can lower their risks by A) using the law of large numbers to make the number of claims more predictable. B) diversifying across insurance products. C) granting large numbers of independent risk policies. D) all of the aboveIN excel if possibleGreat Grasslands Grains, Inc. (GGG) manufactures and sells a wide variety of breakfast cereals. GGG’sproduct development lab recently created a new cereal that consists of rice flakes and banana-flavoredmarshmallows. The company’s marketing research department has tested the new cereal extensivelyand has found that consumers are enthusiastic about the cereal when 16-ounce boxes contain at least1.6 ounces and no more than 2.4 ounces of the banana-flavored marshmallows.As GGG prepares to begin producing and selling 16-ounce boxes of the new cereal, which it has namedGo Bananas management is concerned about the amount of banana-flavored marshmallows. It wants tobe careful not to include less than 1.6 ounces or more than 2.4 ounces of banana-flavoredmarshmallows in each 16-ounce box of Go Bananas. Tina Finkel, VP of Production for GGG, hassuggested that the company measure the weight of banana-flavored marshmallows in a random sampleof 25 boxes of Go Bananas on a weekly…No. Emp. No. Prod. Wkrs. Value Added by Mfg. Cost of Materials Value of Indus. Shipmnts New Cap. Exp. End Yr. Inven. Indus. Grp. 433 370 23518 78713 4 1833 3630 1 131 83 15724 42774 4 1056 3157 1 204 169 24506 27222 4 1405 8732 1 100 70 21667 37040 4 1912 3407 1 220 137 20712 12030 4 1006 1155 1 89 69 12640 13674 3 873 3613 1 26 18 4258 19130 3 487 1946 1 143 72 35210 33521 4 2011 7199 1 171 126 20548 19612 4 1135 3135 1 21 15 23442 5557 3 605 5506 2 3 2 287 163 1 2 42 2 2 2 1508 314 1 15 155 2 6 4 624 2622 1 27 554 2 52 47 2471 4219 2 292 929 3 74 63 4307 5357 2 454 1427 3 13 12 673 1061 1 20 325 3 17 13 817 707 1 84 267 3 169 147 8986 10421 3 534 2083 3 51 41 3145 4140 2 220 697 3 55 44 4076 7125 2 176 1446 3 84 76 3806 8994 2 423 1014 3 61 47 4276 5504 2 464 1291 3 27 22 1239 716 1 22 356 4 200 178 9423 8926 3 200 2314 4 294 250 11045 11121 3 189 2727 4 38 32 1916 2283 1 29 682 4 17 14 599 364 1 21 197 4 34 28 2063 1813 1 20…