Let Q represent a mass of carbon 14 (14C) (in grams), whose half-life is 5715 years. The quantity of carbon 14 present after t years is given by the following. Q = 13

1
2
t/5715

(a) Determine the initial quantity (when t = 0).
g

(b) Determine the quantity present after 2000 years. (Round your answer to two decimal places.)
g

(c) Sketch the graph of the function over the interval t = 0 to t = 10,000.

Acable company wants to provide cell phone service for residents on an island. the function for the cost of laying the cable from the island to the mainland is c(x)= 6.500 square root x2+4, where x represents the length of the cable in feet. what are the domain and range of the function? a) domain: all real numbers range: all real numbers greater than or equal to 17,000 b) domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 17,000 c) domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 13,000 d) domain: all real numbers greater than or equal to 13,000 range: all real numbers greater than or equal to 0

The box plot shows the number of raisins found in sample boxes from brand c and from brand d. each box weighs the same. what could you infer by comparing the range of the data for each brand? a) a box of raisins from either brand has about 28 raisins. b) the number of raisins in boxes from brand c varies more than boxes from brand d. c) the number of raisins in boxes from brand d varies more than boxes from brand c. d) the number of raisins in boxes from either brand varies about the same.

What is the prime factorization of 230