Answer:
1 3/8
Step-by-step explanation:
Possible derivation:
d/dx(1/8 (-2 + 3 x))
Factor out constants:
= 1/8 (d/dx(-2 + 3 x))
Differentiate the sum term by term and factor out constants:
= 1/8 d/dx(-2) + 3 d/dx(x)
The derivative of -2 is zero:
= 1/8 (3 (d/dx(x)) + 0)
Simplify the expression:
= 3/8 (d/dx(x))
The derivative of x is 1:
Answer: = 1 3/8
Answer:
18 min
Step-by-step explanation:
Answer:
Solution of the equation is : n=12
Step-by-step explanation:
Given equation:
Solving the equation for 'n'
Add '19' both sides:
Dividing by '4' both sides:
The Solution of the equation is : n=12
Answer: 40,320
Step-by-step explanation:
By Permutation,
The number of arrangements for n things is given by n!.
[Here order matters]
Given: Number of people will give a presentation in class =8
Then, the number of different orders = 8!
= 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 40320
Hence, the number of different orders = 40,320
Answer:
If they start moving towards each other simultaneously it will take 5 hours to meet.
Step-by-step explanation:
Motorcycle:
Distance = 540 miles
Speed = 48 mph
Time taken = Distance/Speed = 11.25 hours.
Car:
Distance = 540 miles
Time taken = 11.25 -2.25 = 9 hours.
Speed = Distance/Time = 540/9 = 60 mph
If they start moving towards each other simultaneously, they will travel a combined distance of 540 miles and Let the time be t hours.
We have
48 t + 60 t = 540
108 t = 540
t = 540/108 = 5 hours.
If they start moving towards each other simultaneously it will take 5 hours to meet.
