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snow_tiger [21]
3 years ago
7

The distance between two stations A and B is 100km.If the average speed of a train is increased by 5km/h , the time taken by the

train to travel from A to B would be 10 minutes less.Find the original average speed of the train.
Mathematics
1 answer:
hoa [83]3 years ago
6 0

Answer:

I also occupy it they pass it to me

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Find the value of 1×4+2×5+3×6......n×(n+3)​
Arada [10]

Answer:

n(n+1)(n+5)/3

Step-by-step explanation:

there is no value, as we don't know n.

but we can create a summary formula/ function definition :

this is the sum for k = 1 to n of k×(k+3)

k×(k+3) = k² + 3k

so, the overall sum splits into the sum of k² for k=1 to n, and the sum of 3k for k=1 to n.

and the sum of 3k is 3 times the sum of k for k=1 to n.

Σk² for k=1 to n = [n(n+1)(2n+1)]/6

Σk for k=1 to n = n(n+1)/2

3×Σk for k=1 to n = 3×n(n+1)/2

so, we have a function formula

n(n+1)(2n+1)/6 + 3n(n+1)/2 = n(n+1)(2n+1)/6 + 9n(n+1)/6 =

= n(n+1)(2n+1+9)/6 = n(n+1)(2n+10)/6 = n(n+1)(n+5)/3

3 0
3 years ago
Graph the function <br> f(x) = -(x - 2)^2 +4.
Romashka-Z-Leto [24]
(0,0)
(1,3)
(2,4)
(3,3)
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Vertex is (2,4)
6 0
3 years ago
What is 12 ÷ 1 1/5 ?
masya89 [10]

Answer:

10

Step-by-step explanation:

12 ÷ 1 1/5

Change to an improper fraction

12 ÷ ( 5*1+1)/5

12 ÷ 6/5

Copy dot flip

12 * 5/6

12/6 * 5

2*5

10

3 0
4 years ago
Read 2 more answers
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