Solve the problem.A man has 5 shirts and 7 ties. How many different shirt and tie arrangements can he wear?
A. 70
B. 35
C. 25
D. 49
Answer: B
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Solve the problem.The velocity of a body of mass m falling from rest under the action of gravity is given by the equation where k is a constant that depends on the body's aerodynamic properties and the density of the air, g is the gravitational constant, and t is the number of seconds into the fall. Find the limiting velocity,
v, of a 360 lb. skydiver (mg = 360) when k = 0.006.
A. 0.01 ft/sec B. 244.95 ft/sec C. 77.46 ft/sec D. There is no limiting speed.
Determine i) the domain of the function, ii) the range of the function, iii) the domain of the inverse, and iv) the range of the inverse.f(x) =
A. f(x): D is all real numbers, R is all real numbers;
f-1(x): D is all real numbers, R is all real numbers
B. f(x): D = , R =
;
f-1(x): D = , R =
C. f(x): D = , R =
;
f-1(x): D = , R =
D. f(x): D = , R =
;
f-1(x): D = , R =
Solve the problem.The logistic growth function f(t) = describes the population of a species of butterflies
after they are introduced to a non-threatening habitat. How many butterflies were initially introduced to the habitat?
A. 6 butterflies B. 400 butterflies C. 60 butterflies D. 2 butterflies
Provide an appropriate response.How can you tell just by looking at a rational expression if it is equal to -1?
What will be an ideal response?