The radioisotope ¹4C (half life = 5730 years) is used for carbon dating. What is the first order rate constant for ¹4C?
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The half-life of a radioactive isotope is directly related to its first-order rate constant, k. The half-life, t1/2, is given by the equation:
t1/2 = (ln 2) / k
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- Applying the banker’s algorithm, which of the following would be a possible order of completion for the following state? Available = (4, 4, 1, 1) Allocation Max ABCD ABCD T0 1202 4316 T1 0112 2424 T2 1240 3651 T3 1201 2623 T4 1001 3112f(n) = n3 - (n2 log2 n) + 2n f(n) ∈ O(n3) by giving the constants (c, n0) and arguing that your constants hold as n goes to infinity by either "chaining up", "chaining down", carefully treating the inequality as an equality and doing some algebra, or even weak induction. Also, what is the minimum value for c (in the definition of O() ) forj this problem and is it an exclusive or inclusive minimum/bound.7) Find the esuts nsteps 8 << 98812 0 13 g ) By sing FORloopsand F crestamattx D, O=| 3 1 3 3 8 =1 PO ... A
- A zero memory source has a source alphabet S = {s1, s2, s3}, with P = {1/4, 1/8, 5/8}. Find the entropy of the source H (S). Find the entropy of the second H (S2) extension and verify; then Find H(S4) and H(S11)?Correct answer will upvoted else downvoted. segment of place where there is length n there are k climate control systems: the I-th climate control system is set in cell artificial intelligence (1≤ai≤n). At least two climate control systems can't be put in a similar cell (for example all man-made intelligence are particular). Each climate control system is characterized by one boundary: temperature. The I-th climate control system is set to the temperature ti. Illustration of portion of length n=6, where k=2, a=[2,5] and t=[14,16]. For every cell I (1≤i≤n) discover it's temperature, that can be determined by the equation min1≤j≤k(tj+|aj−i|), where |aj−i| means outright worth of the distinction aj−i. As such, the temperature in cell I is equivalent to the base among the temperatures of forced air systems, expanded by the separation from it to the cell I. How about we take a gander at a model. Consider that n=6,k=2, the main forced air system is put in cell a1=2 and…Q1 The periodic function sin(2x) has multiple roots between x values of -5π and 5π. If xL = -15 and xU = 15, which of the following statements is true using a bracketed method? Select one: a. All roots will be returned b. The middle root will be returned c. The chosen bracket is invalid for bracketed methods d. A single root will be returned e. The algorithm will be stuck in an infinite loop Q2 Consider x and y to represent data points (xi,yi), where i = 1, 2, 3, … n. What is the length of pafter running the following command? p = polyval(x,y) Select one: a. n b. n - 1 c. n + 1 d. Empty variable e. 1 Q3 Consider a system of linear equations in the form of AX = B, where X is the unknown vector. Which of the following can be used to solve for X? Select one: a. X = A\B b. X = B./A c. X = inv(B)*A d. X = inv(A)./B e. X = B\A
- Alice and Bob want to use Diffie-Hellman Key Establishment to share a key and they have agreed to use the prime number p=97 as their modulus. They have to choose their g from the following list of numbers, none which are unfortunately primitive roots: 6, 9, 18Sort these numbers in the order of suitability, putting the most suitable on the left. Select one: a. 18, 6, 9 b. 9, 18, 6 c. 18, 9, 6 d. 6, 18, 9 e. 9, 6, 18Please help me make a Truth Table on this F = A'B'C' + A'BC + AB'C + ABC' + ABC please make like this in my example attached photo.For each part, describe whether the following information is easier to remember or difficult to remember, give a proper justification? Similarly, for each part show whether this information is in correct format and also give proper justification that how the following information can increase short term memory? ANY OUC HUNKT HESEL ETTE RSIN TOWO RDSO NLY C Issabrinagoingtogetanewiosphone 1962001199503221879219402010