Let us consider the given expression:
 in the scientific notation.
 in the scientific notation.
= 
[Using the law of exponents, which states
 ]
 ]
= 
On dividing, we get
= 
Hence, it is the required scientific notation of the given expression.
 
        
             
        
        
        
Each level has 4 castles to conquered. Jackson completed 6.
Let x be the number of remaining levels and y is the total number of castles to defeat
For every x, there are 4 castles to conquered, 4x represents number of remaining levels and corresponding castles.
Since he has already conquered 6 levels 4(6) = 24 so
y=4x+24, A.
        
             
        
        
        
Answer:
see explanation
Step-by-step explanation:
Differentiate using the product rule
Given y = f(x)g(x), then
 = f(x). g'(x) + g(x). f'(x)
 = f(x). g'(x) + g(x). f'(x)
here f(x) =  ⇒ f'(x) =
 ⇒ f'(x) = 
g(x) = cosx ⇒ g'(x) = - sinx
Hence
 =
 =  (- sinx) + cosx
(- sinx) + cosx 
                                    =  cosx -
cosx -  sinx
sinx
 
        
             
        
        
        
Given:
Mrs. Applegate owns   of the business.
 of the business. 
Mrs. Brown owns 3 times as much as  Mrs. Charles.
To find:
The  fractional part of the business that Mrs. Brown owns.
Solution:
Let Mrs. Charles owns x part of business.
Mrs. Brown owns 3 times as much as  Mrs. Charles.
Mrs. Brown owns = 3x part of business.
Mrs. Applegate owns   of the business.
 of the business. 




Divide both sides by 4.


Now,
Mrs. Brown owns   
 
 
 

Therefore, Mrs. Brown owns   of the business.
 of the business. 
 
        
             
        
        
        
Answer:
The first Graph
Step-by-step explanation:
-2a-5>3
Add 5 to both sides
-2a>8
Divide both sides by 2
a<4