Which of the following describes the common meaning of the Distance Formula?
?

A. The sidewalk length between the intersection of one street and the intersection of another street.
B. ?The distance, "as the crow flies".?
C. ?The shortest walking distance.?
D. ?The shortest driving distance.?
E. None of the above.?


Answer: B

Mathematics

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Solve the problem.An object is fired vertically upward with an initial velocity v(0) = v0 from an initial position s(0) = s0. Assuming no air resistance, the position of the object is governed by the differential equation  where  is the acceleration due to gravity (in the downward direction). For the following values of v0 and s0, find the position and velocity functions for all times at which the object is above the ground. Then find the time at which the highest point of the trajectory is reached and the height of the object at that time. v0 = 78.4 m/s, s0 =

35 m A. s = -9.8t2 + 78.4t + 35, v = -9.8t; Highest point of 348.6 m is reached at t = 9 s B. s = -9.8t2 + 78.4t + 35, v = -9.8t + 78.4; Highest point of 348.6 m is reached at t = 8 s C. s = -4.9t2 + 78.4t + 35, v = -9.8t + 78.4; Highest point of 348.6 m is reached at t = 8 s D. s = -4.9t2 + 78.4t + 35, v = -9.8t + 78.4; Highest point of 348.6 m is reached at t = 9 s

Mathematics

Give an appropriate answer.Given the function f(x, y, z) and the positive number ? as in the formal definition of a limit, find a positive number ? as in the definition that insures  < ?.f(x, y, z) = sin2x + sin2y + sin2z ; ? = 0.09

What will be an ideal response?

Mathematics

Find the area. Round your answer to the nearest hundredth if necessary.Find the area of the triangle with the following measurements:A = 50°, b = 31 ft, c = 18 ft

A. 213.73 ft2 B. 427.45 ft2 C. 179.34 ft2 D. 558 ft2

Mathematics

Perform the computation, working solely in the given base. ? ?

A.


B.


C.


D.


E.


Mathematics