We know that the formula for calculating distance is:
distance d = velocity v * time t
Calculating for each interval:
1: 25 km/hr for 4 minutes
d1 = (25 km / 60 min) (4 min) = 1.67 km
2: 50 km/hr for 8 minutes
d2 = (50 km / 60 min) (8 min) = 6.67 km
3: 20 km/hr for 2 minutes
d2 = (20 km / 60 min) (2 min) = 0.67 km
The total distance covered is:
d = d1 + d2 + d3
d = 1.67 + 6.67 + 0.67
d = 9 km
The average speed is:
s = 9 km (1000 m / km) / (14 min * 60 s / min)
s = 10.72 m / s
Answer:
5005
Step-by-step explanation:
6 C 15
(6, 15)
15! / (6! x 9!)
The answer is 5005
C is just a way to say the order the books are picked in is random and ! means factorial. Factorial is when you multiply all the previous numbers up to the number it is. For example, 5! = 1 x 2 x 3 x 4 x 5 and 2! = 1 x 2
The middle section is n(n+1)
The top row is n+2
The bottom row is 2n+1
So the rule for the total number of tiles will be the sum of the above rules...
s(n)=n(n+1)+n+2+2n+1
s(n)=n^2+n+n+2+2n+1
s(n)=n^2+4n+3
I believe the answer is 311.157055138. That is if i did my math correctly. I hope this helps. Good luck!