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:
0.16
Step-by-step explanation:
3.84/24=0.16
Divide the total price by the amount of waterbottles in the case to find each individual one.
Hope this helps!
Answer:
10 ft 10 in
Step-by-step explanation:
Note that there are 12 inch in 1 feet. Add corresponding numbers together:
6 ft 2 in + 4 ft 8 in = (6 ft + 4 ft) + (2 in + 8 in) = 10 ft + 10 in
10 ft 10 in is your answer.
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Answer:

Step-by-step explanation:
For any angle
, we have that:

Quadrant:
means that
is in the first quadrant. This means that both the sine and the cosine have positive values.
Find the cosine:







Since the angle is in the first quadrant, the cosine is positive.
