Answer:
See definition below
Step-by-step explanation:
Since we have to give a recursive definition, we must give a initial value f(0). Additionally, the value of f(n) must depend on the value of f(n-1) for all n≥1.
The required value of f(0) is (0+1)!=1!=1.
Now, the factorial itself is a recursive function, because (n+1)!=(n+1)n!. In terms of f, this means that f(n)=(n+1)f(n-1) for all n≥1.
Then, our definition is: f:N→N is defined by
- f(0)=1.
- For n≥1, f(n)=(n+1)f(n-1).
Answer:
5 months will be the same cost at each gym.
Step-by-step explanation:
As
- Exercise Plus charges a yearly fee of $75 plus $10 a month.
- Gym and Swim charges a yearly fee of $50 plus $15 a month.
Let
by the number of months





Therefore, 5 months will be the same cost at each gym.
Their total points for the first 10 games were
(10) x (35) = 350 total .
Their total points after 11 games were
(11) x (33) = 363 total .
They must have scored (363 - 350) = 13 points in that 11th game.
I hate to say it, but these kids and their coach are in the wrong game.
<span>gravitational potential energy : P
Gravity : g
Mass : m
height : h
P = mgh = 3 x 9.8 x 0.45 = 13.23 Joule
Potential energy is work , from the known formula
W = Fd ( work = force x distance )
W = P ( in case of potential energy height change)
F is the force acting on the body in case of ideal ramp , the only force acting is the weight of the body
F = mg ( not just <m> as the force is mg (Newton) gravity effect)
d is the displacement in direction of force, as we have considered the force to be the weight not it's component in direction of the ramp , the change in displacement is the change in height so
d = h
W = Fd = (F = mg) x (d = h) = mgh
W = mgh = P
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