Solve the problem.The logistic growth model
represents the population of a bacterium in a culture tube after t hours. When will the amount of bacteria be 750?
A. 9.4 hours
B. 8.34 hours
C. 3.5 hours
D. 14.24 hours
Answer: D
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Find both the parametric and the vector equation of the line.The line through (0, 1, 0) in the direction of the vector v = (3, 0, -1)
A. x = 3, y = t, z = -1; r = (3, 0, -1) + t(0, 1, 0) B. x = 3, y = t, z = -1; r = (0, 1, 0) + t(3, 0, -1) C. x = 3t, y = 1, z = -t; r = (0, 1, 0) + t(3, 0, -1) D. x = 3t, y = 1, z = -t; r = (3, 0, -1) + t(0, 1, 0)
Translate the problem situation to a system of equations. Do not attempt to solve.The Cudly College football team scored 60 times last season, some on seven-point touchdowns and some on three-point field goals. Altogether, the 60 scores accounted for 248 points. How many touchdowns and field goals did they score? (Let x represent the number of touchdowns and y represent the number of field goals.)
A. x - y = 60, 7x - 3y = 248 B. x + y = 60, 7x + 3y = 248 C. x + 3y = 60, 7x + y = 248 D. x + y = 248, 7x + 3y = 60
Insert < or > to make the statement true.0 _____ 9
A. 0 < 9 B. 0 > 9
Write the partial fraction decomposition of the rational expression.
A. +
B. +
C. +
D. +