Answer:
A) Distance time graph
B) d(t) = 25t
C) The expression shows the distance more clearly.
Step-by-step explanation:
A) A distance time graph as seen in the attachment provides a representation of the distance travelled.
We are told the car travels at a constant speed of 100 meters per 4 seconds. Which means that 100 m for each 4 hours. So, for 200m, it's 8 hours like seen in the graph and for 300m,it's 12 hours as seen in the graph.
B) And expression for the distance is;
d = vt
Where;
d is distance in metres
v is speed in m/s and t is time
We are told that the car travels at a constant speed of 100 meters per 4 seconds.
Thus, v = 100/4 = 25 m/s
Distance travelled over time is;
d(t) = 25t
C) Looking at both A and B above, it's obvious that the expression of the distance shows a more clearer way of getting the distance because once we know the time travelled, we will just plug it into the equation and get the distance. Whereas, for the representation form, one will need to longer graphs if the time spent is very long.
Answer:
3.5 hours
Step-by-step explanation:
Ediburgh -------------------------------350 miles-------------------------London
Let the distance traveled by train from Edin to London be "x"
hence the distance traveled by train from London to Edin would be "350-x"
- The rate of Edin to London train is 60
- The rate of London to Edin train is 40
Let the time they meet be"t"
Now, we know distance formula to be D = RT
Where
D is distance
R is rate
and
T is time
<u>Train from Edin to London:</u>
x = 60t
<u>Train from London to Edin:</u>
350-x = 40t
Solving for x:
350 - 40t = x
We put this into first equation:
x = 60t
350 - 40t = 60t
350 = 100t
t = 350/100
t = 3.5
They meet after 3.5 hours
Answer:
10. MN=17.9 in
11. ST= 4.1 cm
12. CE= 13.0 yd
Step-by-step explanation: hope this helps :)
Given:
The expression is

To find:
The expression in repeated multiplication form and then write the expression as a power.
Solution:
We have,

The repeated multiplication form of this expression is
![=[(-8)\cdot (-8)\cdot (-8)]\cdot [(-8)\cdot (-8)\cdot (-8)\cdot (-8)]](https://tex.z-dn.net/?f=%3D%5B%28-8%29%5Ccdot%20%28-8%29%5Ccdot%20%28-8%29%5D%5Ccdot%20%5B%28-8%29%5Ccdot%20%28-8%29%5Ccdot%20%28-8%29%5Ccdot%20%28-8%29%5D)

Clearly, (-8) is multiplied seven times by itself. So,

Therefore, the repeated multiplication form of the given expression is
and the expression as single power is
.
Answer:
D
Step-by-step explanation: