Hello!
We must use a certain formula to find the circumference of anything circular. 
The formula is: 
C = 2 × pi × r 
We know that pi = 3.14 approximately and the radius is 3 feet. 
Substitute: 
C = 2 × 3.14 × 3
C = 6.28 × 3
C = 18.84 ft
ANSWER: 
The circumference of the circular rug is 18.84 ft. (Last option)
        
                    
             
        
        
        
Answer:
LCL = 59.26 to two decimal places 
Step-by-step explanation:
Here, we want to estimate the LCL of the population mean with 90% confidence 
We proceed as follows;
Given alpha = 0.1, then Z(0.05)=1.645 (from standard normal table), s = 15
Mathematically;
LCL =x_bar -Z*s/√( n)= 62 - (1.645 * 15)/√81
LCL = 62- (24.675)/9 = 59.2583
LCL = 59.26 to two decimal places 
 
        
             
        
        
        
Answer:
Shift 2 unit left
Flip the graph about y-axis
Stretch horizontally by factor 2
Shift vertically up by 2 units 
Step-by-step explanation:
Given: 
Parent function: 
Transformation function: 
Take -2 common from transform function f(x)
 ![f(x)=\log[-2(x+2)]+2](https://tex.z-dn.net/?f=f%28x%29%3D%5Clog%5B-2%28x%2B2%29%5D%2B2)
Now we see the step-by-step translation 
 
Shift 2 unit left ( x → x+2 )

Flip the graph about y-axis ( (x+2)  → - (x+2) )
![f(x)=\log[-(x+2)]](https://tex.z-dn.net/?f=f%28x%29%3D%5Clog%5B-%28x%2B2%29%5D)
Stretch horizontally by factor 2 [ -x(x+2) → -2(x+2) ]
![f(x)=\log[-2(x+2)]](https://tex.z-dn.net/?f=f%28x%29%3D%5Clog%5B-2%28x%2B2%29%5D)
Shift vertically up by 2 units [ f(x) → f(x) + 2 ]
![f(x)=\log[-2(x+2)]+2](https://tex.z-dn.net/?f=f%28x%29%3D%5Clog%5B-2%28x%2B2%29%5D%2B2)
Simplify the function:

Hence, Using four step of transformation to get new function 
 
        
                    
             
        
        
        
Answer:
X=7 ST=11 RT=17
Step-by-step explanation:
RT=RS+ST. RS= 2(7)-8. ST=11
X+10=2x-8+11. =14-8=6. RT= x+10
X+10=2x+3. RS=6. 7+10=17 
10=x+3. RT=17
X=7
 
        
             
        
        
        
Answer:
5 tablets can be bought
Step-by-step explanation:
47/8= 5