You are working in a lab where rc circuits are used to delay the initiation of a process. one particular experiment involves an rc circuit with a half-life of t1/2 = 3.00 s. your supervisor is concerned that the initiation of the process is occurring too soon and that the half-life needs to be extended. he asks you to change the resistance of the circuit to make the half-life longer. all you can find in the supply room is a single 39.0 ω resistor. you look at the rc circuit and see that the resistance is 34.0 ω. you combine the new resistor with the old to extend the half-life of the circuit. determine the new half-life (in s).

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In the nineteenth century, gregor mendel first determined some basic rules of genetics that have been observed throughout all types of life. no observations have disproved these basic rules of genetics. charles darwin developed the idea of biological evolution around the same time, but he was unaware of mendel’s discoveries in genetics. over a century later, darwin’s idea of evolution was modified in order to incorporate mendel’s rules of genetics along with the other evidence that darwin had used. what is most likely the relationship between mendel’s rules of genetics and darwin’s idea of biological evolution? a.)mendel’s genetics states laws that are now part of the theory of biological evolution. b.)biological evolution states laws that are part of mendel’s theory of genetics. c.)mendel’s genetics replaced darwin’s entire concept of biological evolution. d.)biological evolution is a law that explains why all genetics exist.

Abaseball is thrown from the outfield toward the catcher. when the ball reaches its highest point, which statement is true? (a)its velocity is not zero, but its acceleration is zero. (b) its velocity and its acceleration are both zero. (c) its velocity is perpendicular to its acceleration. (d) its acceleration depends on the angle at which the ball was thrown. (e) none of the above statements are true.