Answer:
1034
Step-by-step explanation:
Answer:
The total distance walked by Paulo is 3750 feet.
Step-by-step explanation:
Here the four points are<em> (-2,1) (-2,-7) (5,-7) (5,1)</em>
Moving from stop A to B, only the y coordinate changes,
the change is ,
=1-(-7) = 1+7 = 8 units
Moving from stop B to C, only the x coordinate changes,
the change is ,
=5-(-2) = 5+2 = 7 units
Moving from stop C to D, only the y coordinate changes,
the change is
=1-(-7) = 1+7 = 8 units
Moving from stop D to A, only the x coordinate changes,
the change is
=5-(-2) = 5+2 = 7 units
Thus, the total distance traveled is 8+7+8+7 = 30 units
It is given that <em>1 unit = 125 feet</em>
Thus, the total distance traveled is = 
The total distance walked by Paulo is 3750 feet.
4/52 = 1/13 <== here ya go
1. Factor out the greatest common factor (GCF). (There will not always be one).
2. Count the number of terms.
3. Check to be sure each factor is prime, if not, repeat 1-3.
4. Check by multiplying the factors out to see if you get the original polynomial.
Answer:
a) positive direction: t < 2s & t>6s ; negative direction: 2s < t < 6s
b) 7 m
c) 71 m
Step-by-step explanation:
Given:
v(t) = 3t^2 -24t +36 [0 , 7]
Find:
a) The value of time when particle is moving in positive direction:
The change in direction of the particle can be determined by v(t) > 0
Hence,
0 < 3t^2 -24t +36
0 < t^2 - 8t + 12
0 < (t - 2)*(t - 6)
t < 2s , t > 6s
The particle travels in positive direction in the interval t < 2s and t > 6s , While it travels in negative direction when 2s < t < 6s.
b) The displacement ds over the given interval [ 0 , 7 ]
ds = integral (v(t)).dt
ds = t^3 -12t^2 +36t
ds = 7^3 -12*7^2 +36*7
ds = 7 m
c) Total distance traveled in the interval:
Total distance= ds(0-2) + ds(2-6) + ds(6-7)
D = 2*(2^3 -12*2^2 +36*2) - 2*(6^3 -12*6^2 +36*6) + 7
D = 2*32 - 2*0 + 7
D = 71 m
