Which expression is equivalent to 2 In 2e? Time left Show O a. In 4e O b. In e4 O c. 2 + In4 O d. 4 + In2 Solve for x: log, 100-logx20+ log,5 = 2 O a. x=125 O b. x=15 O C. X=5 O d. x=25 An investment can be modelled by the following growth function: y = 2500(1.018) where x represents the time in years: How long, in months, did it take for the account to reach $3000? O a. 10 O b. 123 O c. 28 O d. 94 ?Time left Match the following graph with its function. Shov 10 -10 8 6 8 10 O a. y = 0.3(10)x O b. y = 3 log x O c. y = - 3 Inx O d. V = -= (3 ) x The population of a specific bacteria growing in a Petri dish is modelled by the function P(4) = 5000(2) 3 where P(t) represents the number of bacteria and t represents the time, in days, after the initial time. Determine the time when the population is 40 000. O a. 9 days O b. 6 days O c. 3 days O d. 24 daysSolve the following equation to three decimal places. 4000 = 3600(1.033)* O a. n = 255.459 O b. n= 3.245 O c. n = 184.539 O d. n = 1.966 Determine the equation of the exponential regression function for the data. X 3 4 5 6 8 10 y 1.85 2.07 2.32 2.62 3.25 4.10 O a. y = 1.85(1.12) x O b. y = 1.32(1.12)* O c. y = 1.32(1.24)* O d. y = 1.85(1.24)x A farming cooperative collected data showing the effect of different amounts of fertilizer, x, in hundreds of kilograms per hectare (kg/ha), on the yield of beets, y, in tonnes (t). Use the data below and quadratic regression to compare the possible yields of beets when the amount of fertilizer used is 1.50 kg/ha. Fertilizer (kg/ha) 0 0.25 0.50 0.75 1.00 1.25 Yield (t) 0.22 0.49 0.74 0.92 1.05 1.15 O a. Cannot be calculated O b. 3.4 t O c. 1.20 t O d. 1.75 t ?The height of a chair on a Ferris wheel is described by the function h(t) =-14 cos 3.2t + 16 where h(t) represents the height of the chair in metres and t represents the time in minutes. What is the value of the height of the chair after the ride has been going for 2 minutes, to the nearest tenth? O a. 6.4 O b. 5TT 8 O c. 16 O d. 2.1 Given a sinusoidal function f(x), If there is a maximum point at (90,4) and a minimum point (180,-2) What is the equation of the midline? O a. y= 3 Ob. x= 3 O c. X= 1 Od. y= 1Time left Show Given the sine graph, what is the equation of the function? TT/3 2TT/3 TT 4TT/3 5TT/3 2TT 7T1/3 8TT/3 3TT 10TT/3 11TT/3 4TT 13TT/3 14TT/3 5TT O a. y= 3sin(2x) + 2 O b. y= 3sin(?)+2 O c. y= 2sin(2x)+3 O d. y= 2sin(?)+3The following table gives the population of a predator animal over eight years. Year 2 3 4 5 6 7 8 Population 304 294 290 292 297 305 316 326 After creating a sinusoidal regression equation, what is the estimated population in the 10th year? O a. Impossible to calculate O b. 335 O c. 297 O d. 350 Imagine that it is now 2 p.m. What time will it be when the minute hand has rotated through 300? O a. 3:10 O b. 2:50 O c. 2:40 O d. 3:00 The following data set involves logarithmic growth. Determine the missing value. X 1 2 3 4 6 8 y 0.0 2.0 3.2 5.2 6.0 O a. 4.0 O b. 3.5 O c. 4.4 O d. 5.0The distance a marathon runner covers can be modelled by the function d(t) = 153.8t + 86 where d represents the distance in metres and t represents the time in minutes. Approximately how long will it take her to run the 42.2 km race? Oa. 55h C) bre6.2/h Oc. 03h Od. 45h The pH of a solution is calculated by using the formula pH = log[H+] Where pH measures the acidity level of a sample (a lower pH means a solution is more acidic) and [H+] is the concentration of hydrogen ions. The higher the concentration of hydrogen ions, the more acidic the solution Is. A sample of apple juice has a pH level of 3.5 and a sample of grape juice has a pH level of 3.2. How many more times acidic is the grape juice compared to the apple juice? a. 1.1 times as acidic b. 0.5 times as acidic c. 0.9 times as acidic Od. 2times as acidic