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:
15. A
16. B
17. B
18. C
Step-by-step explanation:
Answer:
1766.3
Step-by-step explanation:
V=4
/3πr^3
= 4/3(3.14)(7.5)^3
= 4/3(3.14)(421.88)
= 4/3(1324.69)
= 1766.25
= 1766.3
I hope this is right!
Marc has walked 42 % of the journey
<h3>How to calculate the percentage ? </h3>
The total miles is 50 meters
Marc has walked for 21 meters
The percentage he has walked can be calculated as follows
= 21/50 × 100
= 0.42 × 100
= 42
Hence the percentage of mile Marc walked is 42%
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Answer:
2√3
Step-by-step explanation:
To rationalize, we multiply the denominator and numerator by the surd at the base
We have it that;
6/√3 * 1
= 6/√3 * √3/√3
= 6 √3/3 = 2√(3