0.002, 0.12, 0.2, 1.2, 1.22
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Answer: Choice C. g(x) = (3x)^2
To confirm this, plug in x = 1 and you'll find that:
g(x) = (3x)^2
g(1) = (3*1)^2
g(1) = (3)^2
g(1) = 3*3
g(1) = 9
Showing that (1,9) is on the red g(x) curve.
Answer:
4989600 ways
Step-by-step explanation:
From the question,
The word MATHEMATICS can be arranged in n!/(r₁!r₂!r₃!)
⇒ n!/(r₁!r₂!r₃!) ways
Where n = total number of letters, r₁ = number of times M appears r₂ = number of times A appears, r₃ = number of times T appears.
Given: n = 11, r₁ = 2, r₂ = 2, r₃ = 2
Substitute these value into the expression above
11!/(2!2!2!) = (39916800/8) ways
4989600 ways
Hence the number of ways MATHEMATICS can be arranged without duplicate is 4989600 ways
The reaction force exerted by the floor of the elevator on the man is D.944 N
Step-by-step explanation:
When the elevator is accelerating upwards at 2 m/s² there occurs a fictitious force acting downwards to produce a downward acceleration of 2 m/s².
The formula to apply here is ;
Weight due to gravity=mg where m is mass of the man and g is acceleration due to gravity.
Due to additional downward acceleration the total acceleration downwards will be : 9.8+2 = 11.8 m/s²
The man weighs down on the elevator floor with a force of ;
F=m(a+g) where m is mass of man, a is acceleration
F=80( 9.8+2)
F=80(11.8)= 944 N
The reaction force by the floor of the elevator is thus 944 N
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Elevator physics :brainly.com/question/13464055
Keywords : elevator, acceleration, moving upwards, reaction force, floor
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12,740 - 200= 12,540 Ft above sea level
