Many bacteria strains are used by the dairy industry to produce different types of fermented milks and yogurts. During a fermentation experiment, the population y (in millions per mL) of bacteria Lactobacillus fermentum after t hours in a wheat medium satisfied the differential equation Initially, 10 million bacteria per mL were present.

(a) Determine the number of bacteria per mL after 4 hr.
(b) Determine when 100 million bacterial per mL will be present.


(a) 80.833
(b) 4.42 hours

Mathematics

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Solve the problem.Find an equation for the horizontal tangent to the curve at P.

A. y = 
B. y = 
C. y = 0
D. y = 1

Mathematics

Simplify.52 + 42

A. 81 B. 18 C. 36 D. 41

Mathematics

Find the mode(s) for the given sample data. The weights (in ounces) of 14 different apples are shown below. 6.1?5.3?6.3?5.4?4.6?6.1?5.35.6?6.8?5.4?6.1?5.6?5.4?4.2

A. None B. 6.1, 5.4 C. 6.1 D. 5.75

Mathematics

From the following credit card transactions, find the credit-card sales less refunds. Then find the amount of the charge at the statement date.Cross Town Florists pays a 4% fee.??SalesRefunds$109.69?$43.73?$43.83$131.37?$45.85?$29.49$121.19?$141.36?$36.41$38.27?$180.68

A. $921.87, $36.87 B. $702.41, $28.10 C. $692.41, $27.70 D. $812.14, $32.49

Mathematics