Answer:
165920160 ways
Step-by-step explanation:
Number of songs in library (n) = 115
Number of songs in Playlist (r) = 4
Since the order is important:
nPr = n! / (n-r)!
115P4 = 115! / (115 - 4)! = 115! / 111! = (115 * 114 * 113 * 112)
= 165920160 ways
B because 300 is the total. In order to get the total you would need to add 10x and 15y. Both x and y represent the amount of people.
Option (A) is correct
The sale this year be $400000 .
Answer:
Step-by-step explanation:
Answer:
the horizontal distance is increasing at a rate of 4.953 in/s
Step-by-step explanation:
since the rod is leaning up against the wall and its length L is constant , then the relationship between y ( vertical distance ) , x (horizontal distance ) and L is
x² + y² = L²
then using derivatives with respect to the time t in both sides of the equation
2*x*dx/dt + 2*y*dy/dt = 0
dx/dt = y/x*dy/dt
since we know that x² + y² = L² → x= √(L² -y²) , then
dx/dt = -y/√(L² -y²)*dy/dt
replacing values
dx/dt = -153 in /√[(165 in)² -(153 in)²]* (-2 in/s) = 4.953 in/s
therefore the horizontal distance is increasing at a rate of 4.953 in/s
