Answer:
See Below
Step-by-step explanation:
Graph:
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Answer: The value of n = 7.
Step-by-step explanation:
Since we have given that
Number of beads is to selected = 20
Number of dozen each of n different colored beads = 2
Number of different colored beads = n
With repetitions of colors allowed.
Number of ways = 230,230
So, it becomes
now,
By hit and trial we get that
Hence, the value of n = 7.
The hint is given by the translation with respect to the y-axis. Since the translated y-coordinate is subtracted with 4, it is translated 4 units downwards. Since the x-coordinate is added with 2, that means that<em> the original coordinate is moved 2 units to the right.</em>
There are 17 thirds in 5 4/6
Answer:
The particle changes its direction 2 times within the time -3<t<3
Step-by-step explanation:
The particle is moving only in a single dimension (x-axis), and whenever the particle changes its direction it also means that it's velocity while changing the direction will be zero.
Hence,
v(t) = 0
but since we're not concerned with the actual values of t when v(t)=0, we'll only consider how many times does the particle changes its direction.
for that we'll simply plot the curve using half-steps from -3 to 3.
t, v(t)
-3, 115
-2.5, 23.9375
-2, -16
-1.5, -25.0625
-1, -19
-0.5, -9.0625
0, -2
0.5, -0.0625
1, -1
1.5, 1.9375
2, 20
2.5, 68.9375
3, 169
What we need to check is at what points does the sign of v(t) values change (because only between those points will v(t) cross the x-axis, hence it's value would've crossed 0)
so there are two points!
between the intervals t = [-2.5,2] and [1,1.5]
so there are two points where the particle changes its directions and those points lie somewhere between these two aforementioned intervals.
