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Julli [10]
2 years ago
14

To avoid collisions with invasive species of aliens, new imperial regulations allow only positive integer space jumps parallel t

o the three space axes defined in the Jedi council's booklet of rules and regulations. How many ways can the Millenium Falcon travel from Earth with coordinates (3,2,0) to the Wookiee smugglers trading place at (10,10,4)?
Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
7 0

Answer:24,942,060

Step-by-step explanation:

(10,10,4) - (3,2,0) = 7,8,4

7+8+4=19

19!/(7!*8!*4!)= 24'942'060

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3 years ago
At time t ≥ 0, the velocity of a body moving along the s-axis is v = t² -5t +4. When is the body moving backwards
katovenus [111]

Answer:

A

Step-by-step explanation:

The velocity of a moving body is given by the equation:

v=t^2-5t+4 ,\, t\geq0

Is the velocity is <em>positive </em>(v>0), then our object will be moving <em>forwards</em>.

And if the velocity is negative (v<0), then our object will be moving <em>backwards</em>.

We want to find between which interval(s) is the object moving backwards. Hence, the second condition. Therefore:

v

By substitution:

t^2-5t+4

Solve. To do so, we can first solve for <em>t</em> and then test values. By factoring:

(t-4)(t-1)=0

Zero Product Property:

t=1, \text{ and } t=4

Now, by testing values for t<1, 1<t<4, and t>4, we see that:

v(0)=4>0,\, v(2)=-20

So, the (only) interval for which <em>v</em> is <0 is the second interval: 1<t<4.

Hence, our answer is A.

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3 years ago
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