Answer:
The train will travel 493.817 meters until it stops completely.
Step-by-step explanation:
In this case, we know that train applies the brakes and decelerates at constant rate until rest is reached after travelling an unknown distance. Travelled distance (
), measured in meters, can be found by using this kinematic formula:
(Eq. 1)
Where:
- Initial speed, measured in meters per second.
- Final speed, measured in meters per second.
- Acceleration, measured in meters per square second.
Now travelled distance is cleared within the formula:

If we know that
,
and
, then the distance travelled by the train is:


The train will travel 493.817 meters until it stops completely.
The relationship between series and sequences can be defined as follows;
A sequence is defined as the list of numbers which have been written in a definite order, on the other hand, the sum of terms of an infinite sequence is known as infinite series. Therefore, simply put; a sequence can be defined as an ordered list of numbers while series is the sum of the list of numbers.
Answer: 
Step-by-step explanation:

Distribute 1/4


add 5/2




Subtract 2x





Multiply by the negative reciprocal of -7/4 which is basically inverting the fraction -4/7


Both 6 and 21 are divisive by 3 so each 7 day week the library hires 2 people.
answer is 2
Answer:
x = ± 10
Step-by-step explanation:
- 5x² = - 500 ( divide both sides by - 5 )
x² = 100 ( take square root of both sides )
x = ±
= ± 10
That is x = - 10 or x = 10