Simplify the expression. Use positive exponents. Assume variables represent nonzero real numbers.(-5p4q4r4)4
A. (-5)4p8q8r8
B. -20p8q8r8
C. (-5)4p16q16r16
D. (-5)16p16q16r16
Answer: C
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Use the graph of the function f(x) to locate the local extrema and identify the intervals where the function is concave up and concave down.
A. Local minimum at x = 1; local maximum at x = -1; concave down on (0, ?); concave up on (-?, 0) B. Local minimum at x = 1; local maximum at x = -1; concave up on (-?, ?) C. Local minimum at x = 1; local maximum at x = -1; concave down on (-?, ?) D. Local minimum at x = 1; local maximum at x = -1; concave up on (0, ?); concave down on (-?, 0)
Solve the problem. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the objects. A projectile is launched from level ground at a launch angle of 26° and an initial speed of 48 m/sec. How far away from the launch point does the projectile hit the ground?
A. ? 185 m B. ? 230 m C. ? 290 m D. ? 60 m
Provide an appropriate response.What is the additive inverse of 0?
A. 1 B. -1 C. 0 D. no additive inverse exists
Decide which of the 5 properties of a commutative group (closure, identity, inverse, associative, commutative) hold for the given system.
A. Closure, identity, inverse, and associative only B. Closure, identity, and inverse only C. Closure only D. Closure and identity only