The speed of Matt is 10 mph.
Doug runs 2 miles an hour faster than Matt, so let Matt’s speed equal x miles per hour. Then Doug’s speed equals x + 2 miles per hour. Each lap is one-quarter of a mile, so Doug runs 1.5 miles in the time it takes Matt to run 1.25 miles.
Rate of Matt is x
Rate of Dough is (x + 2)
Time taken by Matt is 1.25/x
Time taken by Dough is 1.25/(x + 2)
Distance covered by Matt is 1.25
Distance covered by Dough is 1.5
Dough and Matt took the same amount of time from the time Doug started, so make an equation by setting the two times in the chart equal to each other, and then solve for x:
= 
1.5x = 1.25(x + 2)
1.5x = 1.25x + 2.5
0.25x = 2.5
x = 10
So Matt ran at 10 miles per hour.
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Answer:
An element is made of only one type of atom. (Oxygen or sulphur) A compound is two or more elements that are chemically combined. (Iron oxide or Carbon monoxide)
Explanation:
Answer:
Let f be force of friction on the blocks kept on inclined plane. T be tension in the string
For motion of block on the inclined plane in upward direction
T - m₁gsin40 - f = m₁a
f = μ m₁gcos40
For motion of hanging block on in downward direction
m₂g - T = m₂ a
Adding to cancel T
m₂g - - m₁gsin40 - μ m₁gcos40 = a ( m₁+m₂ )
a = g (m₂ - - m₁sin40 - μ m₁cos40) / ( m₁+m₂ )
Putting the values
a = 9.8 ( 4.75 - 2.12-1.045) / 7.6
2.04 m s⁻²
M₂ will go down and M₁ will go up with acceleration .
Explanation:
Answer:
Part A:

Part B:

Explanation:
<u> Part A:</u>
- Potential energy of charge at the given point,

- Charge,
The potential energy at a point due to a charge is defined as
.
<em>where</em>,
V = electric potential at that point.
Therefore,

<u>Part B:</u>
Now, if the charge at that point is replaced with
, then the electric potential energy at that point is given by

Answer:
Atom, the cross-platform, open source code editor developed by Github, has become quite popular thanks to its plug-ins and embedded Git Control. ... There are, however, official Atom repositories for some Linux distributions, like Ubuntu, Debian, Fedora, Red Hat, CentOS, and open.