In the given question, all the necessary information's are already provided. Using these information's it is easy to find the average speed of the car in miles per hour. It is given that the car covers 10 laps in 18 minutes and each lap is 3.6 miles in length.
Total distance covered by the car = (10 * 3.6) miles
= 36 miles
Now we have to convert the time from minutes to hours. So
18 minutes = 18/60 hours
= 3/10 hours
Now we can easily calculate the average speed of the favorite car of Mathew.
Average Speed = 36 * (10/3) miles/hour
= 120 miles/ hour
2 gallons... dude just divide by 2, are you sure this is high school math?
Answer:

Step-by-step explanation:
Note that the integral of
is not 
The solution is as follows:
Given

Required
Integrate
Represent the given expression using integral notation

This question can't be solved directly;
We'll make use of exponential rules which states;

By comparing
with
;
we can substitute 5 for a;
Hence, the expression
becomes

-------------------------------------------------------------------------------------
However, the integral of
is 
This is shown below:
Given that 
Applying power rule;
Power rule states that

In this case (
), n = 5;
So,
becomes



Answer:
The sum of first 50 terms is 3425.
Step-by-step explanation:
Let the first tem of A.P be 'a' and it's common difference be 'd'
Thus the 16th term of the A.P is given by

Now we know that the sum of first 'n' terms of the A.P is given by
![S_n=\frac{n}{2}[2a+(n-1)d]\\\\5=\frac{5}{2}[2a+4d]\\\\1=a+2d..........(ii)](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D%5C%5C%5C%5C5%3D%5Cfrac%7B5%7D%7B2%7D%5B2a%2B4d%5D%5C%5C%5C%5C1%3Da%2B2d..........%28ii%29)
Solving equation 'i' and 'ii' simultaneously we get

Thus 
Thus the sum of first 50 terms euals
![S_{50}=\frac{50}{2}[2\times -5+(50-1)3]\\\\S_{50}=3425.](https://tex.z-dn.net/?f=S_%7B50%7D%3D%5Cfrac%7B50%7D%7B2%7D%5B2%5Ctimes%20-5%2B%2850-1%293%5D%5C%5C%5C%5CS_%7B50%7D%3D3425.)