Answer:
1. 2^9 = 512
2. 2^3 = 8
3. 7^3 = 343
4. 6^3 = 216
5. 3^6 = 729
Step-by-step explanation:
To start we have to express the number as a multiplication of prime numbers, from there we can take the expression as a power
1. 
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512
2^9 = 512
2. 
2 x 2 x 2 = 8
2^3 = 8
3. 
7 x 7 x 7 = 343
7^3 = 343
4. 
6 x 6 x 6 = 216
6^3 = 216
5. 
3 x 3 x 3 x 3 x 3 x 3 = 729
3^6 = 729
 
        
             
        
        
        
We have to compute: Δ y / Δ x.
The interval is [ 2, 5 ] and y = 4 x - 9.
y 1 = 4 · 2 - 9 = 8 - 9 = - 1
y 2 = 4 · 5 - 9 = 20 - 9 = 11
Δ y / Δ x = ( y 2 - y 1 ) / ( x 2 - x 1 ) =
= ( 11 - ( - 1 ) ) / ( 5 - 2 ) = ( 11 + 1 ) / 3 = 12 / 3 = 4
Answer:
Δ y / Δ x = 4 
        
             
        
        
        
5.15 for the first hour after subtracting 12.20(7.15)
        
             
        
        
        
Answer:
4 miles per hour.
Step-by-step explanation:
6/1.5 = 4
 
        
             
        
        
        
Answer:
<em>The base of the triangle = 9inches</em>
Step-by-step explanation:
<u>Explanation</u>:-
The area of the triangle =  square units
 square units
Given area of the triangle(A) = 54 square inches
Given the height of the triangle (h) = 12 inches
now  equating     
                           
now simplification, we get
                            6 b = 54
Dividing '6' on both sides, we get
                              b = 9 
The base of the triangle = 9 inches
<u>Conclusion</u>:-
<em>The base of the triangle = 9 inches</em>