Answer:
The first train travels at 58 mph and the second train travels at 203 mph.
Step-by-step explanation:
The first train left Miami at 3:00 PM.
The second train left Miami at 8:00 PM.
Let the speed of the first train be x.
The second train travels 145 mph faster than the first, that is 145 + x
The second train overtakes the first at 10:00 PM
This means that at 10:00 PM, they were both at the same location.
That is 7 hours after the first train left and 2 hours after the second train left.
Speed is given as:
s = d / t
where d = distance traveled and t = time taken
For the first train, after 7 hours traveling at speed x:
x = d / 7
=> d = 7x _______(1)
For the second train, after 2 hours, traveling at speed 145 + x:
145 + x= d / 2
=> d = 290 + 2x ____(2)
Equating (1) and (2):
7x = 290 + 2x
=> 7x - 2x = 290
5x = 290
=> x = 290/5 = 58 mph
Therefore, the first train travels at 58 mph and the second train travels at 203 mph (58 + 145)
The tax for the pencil is 32 cent
Answer:
Part A: Options D and E
Part B: Disagree
Step-by-step explanation:
Part A:
From the graph attached,
Option A
The object is launched from the ground.
False.
Since, the object is launched from the 5 feet above the ground.
Option B
The flight is symmetric about the line t = 10
False.
Since, the flight is symmetric about the line t = 12
Option C
The object reaches a maximum height of 12 feet.
False.
At t = 12 seconds maximum height of the object = 19.4 feet
Option D
The object is flying in the air during the interval 0 < t < 25.93
True.
Option E
The object reaches its maximum height after 12 seconds of flight.
True.
After 12 seconds object is at the maximum height 19.4 feet.
Therefore, Options D and E are the correct options.
Part B:
From the table attached,
h(4) = 13
h(20) = 13
At t = 4 and 13 seconds height of the object is same.
h(4) = h(20)
But Timothy said h(4) < h(20)
Therefore, disagree with the statement of Timothy.
Answer:
p - w = $25 OR w + $25 = p
Step-by-step explanation:
pencil = p
pen = w
p - w = $25 OR w + $25 = p
Direct Proof is the answer.
