Find the coefficient to the x4 term in the expansion of (x + 4) 6.

  240

Step-by-step explanation:

The x^k term will be ...

  (6Ck)(x^k)(4^(6-k))

For k=4, this is ...

  (6C4)(x^4)(4^2) = 15·16·x^4 = 240x^4

The coefficient of x^4 is 240.

nCk = n!/(k!(n-k)!)

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles