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ankoles [38]
4 years ago
11

How is the number 5 divisible into 1,620

Mathematics
1 answer:
Gennadij [26K]4 years ago
7 0

-Notice that dividing our numbers leaves no remainder:

1,620 ÷ 5 = 324 + 0

-1,620 has all the factors of the number 5

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A particle moves along the x-axis so that at time t≥0 its position is given by x(t)=2t3−9t2−60t+4. What is the total distance tr
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Answer:

-175 or 175  along the x-axis in a negative direction

Step-by-step explanation:

The distance is the total length of the trajectory made by a moving object between two points. We need to find the total distance traveled by a particle over the time interval  t\in[0,7] , so:

Let:

d_o=Distance\hspace{3}traveled\hspace{3}at\hspace{3}t=0\\d_f=Distance\hspace{3}traveled\hspace{3}at\hspace{3}t=7

Using the equation provided by the problem:

x(t)=2t^3-9t^2-60t+4

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x(0)=2*(0)^3-9*(0)^2-60*(0)+4=0-0-0+4=4

For t=7

x(7)=2*(7)^3-9*(7)^2-60*(7)+4=686-441-420+4=-171

Hence, the total distance traveled by the particle over the time interval 0≤t≤7 is:

Total\hspace{3}distance\hspace{3}traveled=d_t=d_f-d_o=-171-4=-175

4 0
3 years ago
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