Use the method of writing each premise in symbols in order to arrive at a valid conclusion.Hard workers sweat.Sweat brings on a chill.Anyone who doesn't have a cold never felt a chill.Anyone who works doesn't have a cold.Therefore, ...

A. Hard workers don't get colds.
B. Anyone who has a cold works hard.
C. Hard workers don't go to work.
D. Anyone who sweats works hard.


Answer: C

Mathematics

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Provide an appropriate response.A baseball is hit when it is 2.9 feet above the ground. It leaves the bat with an initial speed of 150 ft/sec, making an angle of 22° with the horizontal. Assuming a drag coefficient  find the range and the flight time of the ball. For projectiles with linear drag:  x = x0 + (1 - e-kt)cos ?,    y = y0 + (1 - e-kt)sin ? + -21.0px;" />(1 - kt - e-kt)where k is the drag coefficient, v0 and ? are the projectile's initial speed and launch angle, and g is the acceleration of gravity (32 ft/sec2). A. Flight time = 3.47 sec; range = 395.3 feet B. Flight time = 3.7 sec; range = 406.2 feet C. Flight time = 3.35 sec; range = 384.0 feet D. Flight time = 2.55 sec; range = 375.3 feet

Mathematics

Use a graphing calculator to graph the piecewise-defined function, using the window indicated.f(x) = ; window [-4, 6] by [-2, 8]

A.

B.

C.

D.

Mathematics

Use the fundamental identities and appropriate algebraic operations to simplify the expression. + tan x

A. 1 B. cos x + sin x C. sin2 x D. sec x

Mathematics

Factor.4x2 + 12x + 9

A. (2x + 3)(2x - 3) B. (4x + 1)(x + 9) C. (2x + 3)2 D. (2x - 3)2

Mathematics