Answer:
1.1000
2.3/4
3.f(x)=1000(1/4)^X
Step-by-step explanation:
 
        
             
        
        
        
Answer:
D) cot(C) = 1/2. 
Step-by-step explanation:
We can go through each choice and examine is validity. 
Choice A)
We have:

Recall that secant is the ratio of the hypotenuse to the adjacent. 
With respect to B, the adjacent is 6 and the hypotenuse is 7. 
Therefore, sec(B) should be 7/6 instead. 
A is incorrect. 
Choice B)
We have: 

Cotangent is the ratio of the adjacent side to the opposite. 
With respect to B, the adjacent side is 6 and the opposite side is 3. 
Therefore, cot(B) = 6/3 = 2. 
B is incorrect. 
Choice C)
C is incorrect for the reasons listed in A. 
Choice D)
We have: 

Again, cotangent is the ratio of the adjacent side to the opposite. 
With respect to C, the adjacent side is 3 and the opposite side is 6. 
So, cot(C) = 3/6 = 1/2. 
Therefore, D is the correct choice!
 
        
             
        
        
        
Answer:
You are correct! The answer is 4
Step-by-step explanation:
Add up all the wands and divide by number of fairies in Fairyland
5+3+3+5 = 16
16/4 = 4