Are they asking for the surface area?
        
             
        
        
        
Answer:
2998 ; 17%
Step-by-step explanation:
Given the function:
t(c)=-3970.9(ln c)
c = % of carbon remaining ; t = time
1.) c = 47% = 47/100 = 0.47
t(0.47) = - 3970.9(In 0.47)
t = - 3970.9 * −0.755022
t = 2998.119
t = 2998
B.) 
t = 7000
t(c)=-3970.9(ln c)
7000 = - 3970.9(In c) 
7000 / - 3970.9 = In c
−1.762824 = In c
c = exp(−1.762824) 
c = 0.1715596
c = 0.1715596 * 100%
c = 17.156% ; c = 17%
 
        
                    
             
        
        
        
Answer:

Step-by-step explanation:
Area of the Rectangular Carpet=12*5=60m²
Area of the Square rug=2*2=4m²
Expressing the area of the rug as a fraction of the total area of the carpet, we have:
.
The fraction of the carpet that is covered by the rug is 
.
 
        
             
        
        
        
Answer:
C
Step-by-step explanation:
Using Pythagoras' identity to determine if the triangle is right
The square of the longest side should equal the sum of the squares on the other 2 sides, that is
QS² = RS² + QR² = 8² + 5² = 64 + 25 = 89 ( take the square root of both sides )
QS = 
Δ QRS is not right as QS would have to be 
 
        
                    
             
        
        
        
I attached a photo of my work below; I just screenshotted the photo you provided. I apologize in advance for any mistakes, it’s 1 am and I’m in need of some sleep. However, I hope it helps otherwise. Have a good one!