The growth rate of the bacterium, a common bacterium found in the human intestine, is proportional to its size. Under ideal laboratory conditions, when this bacterium is grown in a nutrient broth medium, the number of cells in a culture doubles approximately every 20 min. If the initial cell population is 10, determine the function Q(t) that expresses the exponential growth of the number of cells of this bacterium as a function of time t (in minutes). How long will it take for a colony of 10 cells to increase to a population of 1 million? If the initial cell population were 100, how would this alter the model?
?
A.
B.
C. ?
D. ?
Answer: D
Mathematics
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Solve the problem.Given the velocity and initial position of a body moving along a coordinate line at time t, find the body's position at time t.v = -19t + 3, s(0) = 12
A. s = -t2 + 3t - 12
B. s = -t2 + 3t + 12
C. s = -19t2 + 3t + 12
D. s= t2 + 3t - 12
Mathematics
Graph on the number line, and express in interval notation.The set of all real numbers greater than 4.
A. (-?, 4]
B. [4, ?)
C. (-?, 4)
D. (4, ?)
Mathematics
Simplify the expression. Write the answer with only positive exponents. Assume that all variables represent positive real numbers.
A.
B.
C.
D.
Mathematics
Simplify the expression by performing the indicated operations. ?
- 4
A. 8 - 20
B. -
C. -16
D. 16 - 20
Mathematics