Answer:
6.5 mph
Step-by-step explanation:
Pace per mile
09 : 13.85
min : sec
Speed
0.1083 miles per minute
=
6.5 miles per hour
Answer:
Linearly Dependent for not all scalars are null.
Step-by-step explanation:
Hi there!
1)When we have vectors like
we call them linearly dependent if we have scalars
as scalar coefficients of those vectors, and not all are null and their sum is equal to zero.
When all scalar coefficients are equal to zero, we can call them linearly independent
2) Now let's examine the Matrix given:

So each column of this Matrix is a vector. So we can write them as:
Or
Now let's rewrite it as a system of equations:

2.1) Since we want to try whether they are linearly independent, or dependent we'll rewrite as a Linear system so that we can find their scalar coefficients, whether all or not all are null.
Using the Gaussian Elimination Method, augmenting the matrix, then proceeding the calculations, we can see that not all scalars are equal to zero. Then it is Linearly Dependent.



Answer:
2. Water vapour and steam
4. The clouds in the sky are water vapour molecules because they evaporate ( turn from a liquid to a gas) from lakes and ponds.
Answer:
- Colin's third number was 2
- April's sixth number was the same as Colin's first number.
- April's second number was 8.
Step-by-step explanation:
Colin:
First number = 0
Second number = 1
Third number = 2
Fourth number = 3
Fifth number = 4
Sixth number = 5
April:
First number = 10
Second number = 8
Third number = 6
Fourth number = 4
Fifth number = 2
Sixth number = 0
I hope this helps :)
Answer:
The passenger train is moving at 45 miles per hour
Step-by-step explanation:
Let the amount of time it took the two trains to travel the distance = t.
Since the two trains traveled the distance at the same time,
Rate of the passenger train =
Rate of the freight train = 
<em>Where t is in hours.</em>
From the problem, we can see that the rate of the freight train was 15 miles per hour slower than the rate of the passenger train. Mathematically, we can represent this as

from the above equation, we can now get our value for t as

We have our time of travel for the two trains as 4 hours.
The rate of the passenger train can now be calculated by 180/4 = 45 miles per hour