Seeing these new artifically designed creatures at home, as the result of breeding, he coined the term ____ ______ to explain th
1 answer:
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Answer:
The fourth graph is the answer
Explanation:
We have inequalities
For the first inequality all points at or below the graph of y are solutions, and for the second inequality all the points above the graph of y are the solutions. So, the solution to these inequalities are points that are above the graph of and below the graph of
. The shaded region in the fourth graph satisfies these conditions.
<em>Looking at other choices, we see that the first two graphs do not even represent the graphs of our inequalities, and the third graph does represent the inequalities but shades the wrong region. </em>
P.S: the graph of the inequality is dashed because
is "greater than" and not "equal to"
, so this indicates that the values on the line
are not included. And the graph of the inequality
is a solid line because
is "less than or equal to"
, so we are including the values on the line
, and that's why it's solid.
Answer:
α =
Explanation:
For this exercise we use Newton's equation for rotational motion
∑ τ = I α
the troque is
α = Fr .r
the moment of inertia of a cylinder is
I = ½ m r²
we substitute
fr r = (½ m r²) α
the expression friction is
fr = μ N
we substitute
μ N r = ½ m r² α
α =
Answer:
, upward
Explanation:
The passenger on the wheel experiences a centripetal acceleration, which is the one that keeps him in a circular motion.
The direction of this acceleration is always towards the centre of the circular trajectory: so when the passenger is at the lowest point of the ride, the acceleration is upward.
Concerning the magnitude, it is given by
where
is the angular velocity
r = 15 m is the radius
We need to find the angular velocity; we know that the wheel completes 3 revolutions in one minute. Each revolution corresponds to an angle of rad, so the total angular displacement is
rad
And the time is
So the angular velocity is
And substituting into the equation of the acceleration,