Express the number in decimal notation.4.14 × 10-4

A. 0.0000414
B. -414,000
C. 0.000414
D. 0.00414


Answer: C

Mathematics

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Solve the application and answer with a complete sentence.Varun put $610 in a savings account that gained 10.5% interest. How much interest did the account gain after 6 years?

A. The account gained $3843.00 interest after 6 years. B. The account gained $64.05 interest after 6 years. C. The account gained $384.30 interest after 6 years. D. The account gained $640.50 interest after 6 years.

Mathematics

Solve the problem.A weight is suspended on a system of spring and oscillates up and down according to P = 0.1[3 cos (8t) - sin (8t)]where P is the position in meters above or below the point of equilibrium (P = 0) and t is time in seconds. Find the time when the weight is at equilibrium. Find all values of t, 0 ? t ? 1, rounded to the nearest 0.01 second.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Solve the problem.A diagonal crosswalk at an intersection of First Street and Grand Avenue is the hypotenuse of a triangle in which crosswalks across each street are the legs. First Street is 27 feet wide and Grand Avenue is 46 feet wide. How much shorter is the distance traveled by pedestrians using the diagonal crosswalk rather than using both crosswalks that form the legs of the triangle.

A. 19.7 feet B. 53.3 feet C. 7.3 feet D. 19 feet

Mathematics

?Use the position equation s = -16t2 + v0t + s0  to write a function that represents the situation and give the average velocity of the object from time t1 to time t2.An object is thrown upward from a height of 38 feet at a velocity of 84 feet per second. t1 = 1, t2 = 3

A. ?s= -16t2+ 38t + 84; avg. velocity = 79 ft/s B. ?s = -16t2+ 84t + 38; avg. velocity = 125 ft/s C. ?s = -16t2+ 38t + 84; avg. velocity = -26 ft/s D. ?s= -16t2+ 84t + 38; avg. velocity = 20 ft/s E. ?s= -16t2 + 84t + 38; avg. velocity = 40 ft/s

Mathematics