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).
In similar triangles, the ratios of corresponding sides are equal.
This means
y/6=5/(4+5)
Cross multiply
y=5*6/(4+5)=30/9=10/3 (or 3 1/3)
Answer:
Step-by-step explanation:
Use the Law of Cosines to find the measure of angle A from the lengths of the sides.
A = arccos[(b²+c²-a²)/(2bc)] ≅ 29.9°
B = arccos[(a²+c²-b²)/(2ac)] ≅ 54.8°
C = 180 - A - B = 95.3°
Answer:
<em>The equation will be: 
</em>
Step-by-step explanation:
The number of student tickets that were sold 
and the number of other tickets that were sold 
Student tickets cost $3 a piece and tickets for everyone else cost $5 each.
So, <u>the total cost of</u> 
<u>student tickets</u> 
and <u>the total cost of</u> 
<u>other tickets</u> 
Given that, the drama club sold <u>total $779 worth of tickets</u>.
So, the equation will be:
Answer:
a n = -3+(n-1)-30
Step-by-step explanation:
-3 - 30 = -33
-33 - 30 = -63
-63 - 30 = -93
The common difference here is -30. d = -30
The explicit formula is a n = a1 + (n-1)d
