A certain tree grows by 2/t + e(-t2/2) feet per year, where t is the time in years. Use the trapezoidal rule with whole year intervals to estimate the total growth during the stated time interval.From t = 1 to t = 8

A. 6.178 ft
B. 4.761 ft
C. 5.947 ft
D. 5.769 ft


Answer: B

Mathematics

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Find the number or numbers.If -9 is added to a number and the sum is doubled, the result is -6 less than the number. Find the number.

A. 24 B. 12 C. -12 D. 3

Mathematics

Solve the problem.To measure the width of a river, a surveyor starts at point A on one bank and walks 74 feet down the river to point B. He then measures the angle ABC to be   Estimate the width of the river to the nearest foot. See the figure below. 

A. 32 ft B. 154 ft C. 67 ft D. 35 ft

Mathematics

Use the properties of real numbers to simplify the expression.2(3x + 3) - 4(3x - 1)

A. -6x + 10 B. 18x + 10 C. -6x - 10 D. -6x + 2

Mathematics

Provide an appropriate response.Fill in the blank with "always greater than," "sometimes greater than," "always less than," or "cannot be determined," whichever response is correct. When dividing a positive fraction by , the answer is  the fraction.

A. always greater than B. always less than C. sometimes greater than D. cannot be determined

Mathematics