Solve the problem.A fossil was discovered that had about 70% of the 14C level found today in living matter. Given that the decay constant for 14C is 0.00012, determine the age of the fossil.Enter your answer exactly as just 
where a is a real number to one decimal place and b is a real number to 5 decimal places.
Fill in the blank(s) with the appropriate word(s).
-ln.7/.00012
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Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the 
. y = 
, y = 0, 0 ? x ? 
A. 
?
B. 2?
C. 8?
D. 16?
Provide an appropriate response.Fill in the blanks to complete the statement. The graph of P(x) = 6(x - 9)2 - 7 is a parabola with axis of symmetry 
and vertex 
.
A. x = 6; (-9, -7) B. (-9, -7); x = -9 C. x = 9; (-9,-7) D. x = 9; (9, -7)
Describe the situation with a linear inequality and then solve the inequality.An archery set containing a bow and three arrows costs $64. Additional arrows can be purchased for $6 each. Jerry has $130 to spend on the set and additional arrows. Including the arrows in the set, what is the total number of arrows Jerry can purchase?
A. ? 14 arrows B. ? 21 arrows C. ? 11 arrows D. ? 2 arrows
In the diagram, S represents the position of a power relay station located on a straight coast, and E shows the location of a marine biology experimental station on an island. A cable is to be laid connecting the relay station with the experimental station.
?
?
If the cost of running the cable on land is $2.40/running foot and the cost of running the cable under water is $3.00/running foot, locate the point P that will result in a minimum cost (solve for x).
?
?x? = __________ ft
Fill in the blank(s) with the appropriate word(s).