Answer:
<h2>2.5 hours</h2>
Step-by-step explanation:
Step one:
given data
for train one
speed= 50miles per hour
for train two
speed= 60miles per hour
the total distance between both trains=275miles
Step two:
the expression for speed= distance/time
so that, distance= speed*time
let the time be t
we are going to combine both distances
train one distance =50t
train two distance =60t
Hence total distance
50t+60t=275
110t=1=275
t=275/110
t=2.5 hours
<u>It will take 2.5 hours</u>
Answer: see table below
<u>Step-by-step explanation:</u>

Answer:
The maximum distance traveled is 4.73 meters in 0.23 seconds.
Step-by-step explanation:
We have that the distance traveled with respect to time is given by the function,
.
Now, differentiating this function with respect to time 't', we get,
d'(t)=9.8t-2.3
Equating d'(t) by 0 gives,
9.8t - 2.3 = 0
i.e. 9.8t = 2.3
i.e. t = 0.23 seconds
Substitute this value in d'(t) gives,
d'(t) = 9.8 × 0.23 - 2.3
d'(t) = 2.254 - 2.3
d'(t) = -0.046.
As, d'(t) < 0, we get that the function has the maximum value at t = 0.23 seconds.
Thus, the maximum distance the skateboard can travel is given by,
.
i.e.
.
i.e.
.
i.e.
.
i.e. d(t) = 4.73021
Hence, the maximum distance traveled is 4.73 meters in 0.23 seconds.
Answer: 
Step-by-step explanation:
Given
Length L=15 feet
width b=2 feet
Volume V=375 cubic feet
Suppose h is the height
Volume is given by 

Given:
Morgan = 500 meters from her house
Length of leash = 8 meters
minimum distance of the dog from the house 500 - 8 = 492 meters.
maximum distance of the dog from the house 500 + 8 = 508 meters.