Answer:
Yes.
Step-by-step explanation:
Any three points are always coplanar.
 
        
                    
             
        
        
        
Answer:
Yes
Reason/Explanation
This equation represents a proportional relationship because the graph of the equation is a straight line passing through the origin.
Hope this helps :P
 
        
             
        
        
        
Answer:
Using either method, we obtain:  
Step-by-step explanation:
a) By evaluating the integral:
  ![\frac{d}{dt} \int\limits^t_0 {\sqrt[8]{u^3} } \, du](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdt%7D%20%5Cint%5Climits%5Et_0%20%7B%5Csqrt%5B8%5D%7Bu%5E3%7D%20%7D%20%5C%2C%20du)
The integral itself can be evaluated by writing the root and exponent of the variable u as:   ![\sqrt[8]{u^3} =u^{\frac{3}{8}](https://tex.z-dn.net/?f=%5Csqrt%5B8%5D%7Bu%5E3%7D%20%3Du%5E%7B%5Cfrac%7B3%7D%7B8%7D)
Then, an antiderivative of this is: 
which evaluated between the limits of integration gives:

and now the derivative of this expression with respect to "t" is:

b) by differentiating the integral directly: We use Part 1 of the Fundamental Theorem of Calculus which states: 
"If f is continuous on [a,b] then

is continuous on [a,b], differentiable on (a,b) and  
Since this this function  is continuous starting at zero, and differentiable on values larger than zero, then we can apply the theorem. That means:
 is continuous starting at zero, and differentiable on values larger than zero, then we can apply the theorem. That means:

 
        
             
        
        
        
Answer:
C. The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05. 
Step-by-step explanation:
The initial number of accidents = 5200 = Po
It increases 5% every year.
So r = 5% = 0.05
y = Po(1 + r)^x
y = 5200(1 + 0.05)^x
y = 5200(1.05)^x
This sequence is an exponential. Which is a geometric sequence.
Answer: C. The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05. 
Thank you.
 
        
                    
             
        
        
        
Answer:
10%
Step-by-step explanation:
firstly express as a fraction then multiply the fraction by 100% , that is
 × 100% = 2 × 5 = 10% of the flowers are roses
 × 100% = 2 × 5 = 10% of the flowers are roses