46 students like baseball.
40 students like tennis.
46 - 40 = 6 more students like baseball than tennis
        
                    
             
        
        
        
Answer:
r = 144 units
Step-by-step explanation:
The given curve corresponds to a parametric function in which the Cartesian coordinates are written in terms of a parameter "t". In that sense, any change in x can also change in y owing to this direct relationship with "t". To find the length of the curve is useful the following expression; 

In agreement with the given data from the exercise, the length of the curve is found in between two points, namely 0 < t < 16. In that case a=0 and b=16. The concept of the integral involves the sum of different areas at between the interval points, although this technique is powerful, it would be more convenient to use the integral notation written above. 
Substituting the terms of the equation and the derivative of r´, as follows, 
 

Doing the operations inside of the brackets the derivatives are: 
1 ) 
2) 
Entering these values of the integral is

It is possible to factorize the quadratic function and the integral can reduced as, 

Thus, evaluate from 0 to 16
 
 
The value is 
 
        
             
        
        
        
Answer:
B
Step-by-step explanation:
 
        
             
        
        
        
Answer:
x<-2
Step-by-step explanation:
You first subtract 4 from both sides. Then you divide both sides by -8 (note: when you multiply or divide by a negative the sign flips. Then you get your answer 
 
        
             
        
        
        
Answer:
 Last option: 4
Step-by-step explanation:
 The quadratic equation simplified:  has the form:
 has the form:
 
 In this case, you can identify that "a", "b" and "c" are:
 
 To solve this quadratic equation  by completing the square, Carlos should add  to both sides of the equation. This is:
 to both sides of the equation. This is:
 
 Then:
  
 
 Therefore you can observe that the number he should add to both sides of the equation is: 4