Answer:
The approximate age of the bone is approximately 11552 years.
Step-by-step explanation:
The current proportion of carbon-14 with respect to its original amount is defined by following formula:
 (1)
 (1)
Where:
 - Current amount of carbon-14, no unit.
 - Current amount of carbon-14, no unit.
 - Initial amount of carbon-14, no unit.
 - Initial amount of carbon-14, no unit.
 - Time, in years.
 - Time, in years.
If we know that  , then the approximate age of the bone is:
, then the approximate age of the bone is:


The approximate age of the bone is approximately 11552 years. 
 
        
             
        
        
        
Answer:
\frac{d}{dx}\left(\frac{1+x^4+x^6}{x^2+x+1}\right)=\frac{4x^7+5x^6+8x^5+3x^4+4x^3-2x-1}{\left(x^2+x+1\right)^2}
Step-by-step explanation:
 
        
             
        
        
        
Fee for distance = total fee - initial fee = 12.70-2.20 = $10.50
Now, for 1 mile = $1.50
for x miles = 10.50/1.50 = 7
So, tom travel 7 miles.
 
        
             
        
        
        
For this parabola we have:
f ( 0 ) = 8
and : f ( 1 ) = 24
In the first equation ( A) :
f ( 0 ) = - 16 * ( 0 - 1 )² + 24 = - 16 * 1 + 24 = 8 ( correct )
f ( 1 ) = - 16 * ( 1 - 1 )² + 24 = 24  ( correct )
For B:
f ( 0 ) = - 16 * ( 0 + 1 )² + 24 = - 16 + 24    = 8  ( correct )
f ( 1 ) = - 16 * ( 1 + 1 )² + 24 = - 16 * 4 + 24 = - 64 + 24 = 40 ( false )
For C:
f ( 0 ) = - 16 * ( 0 - 1 )² - 24 = - 16 - 24 = - 40 ( false )
f ( 1 ) = - 16 * ( 1 - 1 )² - 24 = - 24  ( false )
For D:
f ( 0 ) = - 16 * ( 0 + 1 )² - 24 = - 16 - 24 = - 40 ( false )
f ( 1 ) = - 16 * ( 1 - 1 )² - 24 = - 24   ( false )
Answer:
A )  f ( t ) =  - 16 * ( t - 1 )² + 24
    
        
                    
             
        
        
        
Answer: Equilateral triangles.
Explanation: We know that in similar polygons, its all the corresponding angles are congruent. Only the set of equilateral triangles contains members that are always similar( by AAA similarity criteria) to one another as the measure of all the angles of equilateral triangle is fixed i.e. 60°.
Rest other do not have fixed measure for angles in it.