The following figure shows how the concentration of ingested microplastic pieces (number of pieces per fish) depends on the body length in the Round Goby fish. 60 (b) r^2=0.3934 P= 0.0097 Concentration (No. Fish¹) ON WA 40 50 30 20-A 10 Δ 5 6
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- Explain the difference between the average rate of change of y as x changes a to b, and the instantaneous rate of change of y at x=aAccumulation of mercury (Hg) in fish is hypothesized to correlate with the fish size. Barbonymus schwanenfeldii is a species commonly found in a dam in Sarawak. Table 1 shows data of Hg concentration (mg/kg) present in three sizes of fish caught in the dam in triplicates.Researchers have determined that the crown length of first molars in fetuses dhe' 11. is related to the postconception age of the tooth as L(t) = = -0.01t2 +0.788t-7.048, %3D where L(t) is the crown length (in millimeters) of the molar t weeks after conception. a. What is thefrate of change ol the crown length in week 20? b. Find the maximum length of the crown of first molars during weeks 22 through 28. L (20) L'(c)=0
- 6. A company will manufacture metal boxes with a lid, in the shape of a prism, with a square base, and a volume of 900 dm^3 to store water. The height (in dm) of the box in which the least amount of metal is used for its manufacture is: Select one: a. 30.00 b. 42.43 c. 9.65 d. 12.16The average daily attendance for horror movies over the summers during the years 2007 to 2009 is documented in the table below. If the auditorium has an area of 2,025 ft^2, which of the following statements best describes the percent increase each year in terms of people per square foot of the auditorium? Year Number of Tickets Sold 2007 558 2008 623 2009 699 The movie theatre auditorium was more crowded in 2008 than in 2009. The largest annual percent increase in density occurred from 2008 to 2009. The smallest annual percent increase in density occurred from 2007 to 2008. The largest annual percent increase in density occurred from 2007 to 2008.FD=0.5CDApv^2 V=18 A=1.289 P=1.2754 CD=0.35 FD=
- An environmentalist monitored the water quality of a river in city Xby measuring the conductivity of the river monthly. The conductivity of a water body is an early indicator of the water quality. Owing to implementation of activities which were harmful to the nature such as an oil spill, the conductivity in µS/cm of the river decreased. However, a continuous cleaning up plan had been carried out for the river from January until April 2020 and the conductivity measurement for the months had improved as follows: a1, a2, a3, a4, a5…, an 3, 12, 27, 48, 75, …., an 1. Let an represents the conductivity for nmonths since January 2020. By using n in the formula, determine the formula to represent the conductivity sequence, an. 2.What is the estimated conductivity for January 2021? 3. By assuming bn-1= an - an-1, the monthly improvement of conductivity can be represented by the following sequence. Based on the given sequence, determine bn. b1, b2, b3, b4, …, bn = (12-3), (27-12), (48-27),…The volume V in liters of air in the lungs during a 5 second respiratory cycle is approximated by the model V=0.1724t+0.1523t^2−0.0377t^3, where t is the time in seconds. Approximate(4 decimal places) the average volume of the air in the lungs during one cycle.A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 1 gram of salt per liter is pumped into the tank at a rate of 4 L/min; the well-mixed solution is pumped out at 3 L/min. Find the salt concentration expressed in percent by mass in the tank after 5 minutes. The density of salt is 2.16 g/mL, and that of water is 1 g/mL. *