Integration by parts will help here. Letting 

 and 

, you end up with 

 and 

. Now


For the remaining integral, setting 

 gives 

, so

Putting everything together, you end up with
 
 
        
        
        
Answer:
5 minutes to run 1 kilometer
Step-by-step explanation:
Alonzo takes 12 minutes to run 6 times around a 400-meter track.
6 times around a 400 m track
400 * 6 = 2400 meters 
It take 12 minutes to run 2400 meters
2400 meters = 2400/1000 = 2.4km
distance = 2.4 km  and time = 12 minutes
Now we find our constant speed

2.4 = speed * 12
divide by 12 on both sides
speed = 0.2
so speed is 0.2 km per minute
Now we find out time when distance = 1km
Distance = speed * time
1 = 0.2 * t
divide by 0.2 on both sides
5 = t
So it take 5 minutes to run 1 kilometer
 
        
             
        
        
        
Answer: 80
Step-by-step explanation:
7824/10 = 782.4
The value represented by 8 is 80 or 8 tens.
 
        
             
        
        
        
The answer is 5.83
Use the Pythagorean Theorem to calculate the 3rd side length.
a^2+b^2=c^2
3^2+5^2=c^2
        
             
        
        
        
The answer should be option c