Step-by-step explanation:
d/dx [f(x)]
= d/dx [(2x + 5)⁶]
= 6(2x + 5)⁵ * d/dx (2x + 5)
= 12(2x + 5)⁵.
Answer:
12825$
Step-by-step explanation:
1 yard = 3 ft
we can convert each of the lengths from ft to yards
240 ft = 80 yards
285 ft = 95 yards
450 ft = 150 yards
150+150+95+80 = 475 yards
1 yard of fencing costs 27$ so we are going to multiply that by the total yards
475*27=12825$
Answer:
Distance between B and C = 
Step-by-step explanation:
Let the time taken to reach from station A to B be x hr
Let the time taken to reach from station B to C be y hr
Given total time from station A to C be 6 hr
∴ x + y = 6
⇒ y = 6 - x → (1)
Also total distance given is 285 miles
As 
∴ distance travelled between station A and B
=
distance travelled between station B and station C
=
So, 40x + 55y = 285
⇒ 40x + 55(6 -x) = 285 (From 1)
=> 40x + 330 - 55x = 285
=> -15x = 285 - 330
=> -15x = -45 ⇒ x=3
gives y = 6-3 = 3 hours
Distance between B and C = 
Multiply numerator and denominator by

Things should simplify pretty nicely.