Question Solved1 Answer An Affine-Hill Cipher is the following modification of a Hill Cipher: Let m be a positive integer, and define P = C = (Z26)". In this cryptosystem, a key K consists of a pair (L, b), where L is an m x m invertible matrix over Z26, and be (Z26)". For x = (21, ..., Xm) E P and K = (L,b) E K, we compute y = ek(x) = (y1, ... , Ym) by means of the formula y = xL + b. Hence, if L = (li,j) and b = (bi, ...,bm), then l1, m 11,2 11,1 12,1 12,2 l2, m (41, ... , Ym) = (x1, ..., 8m) + (61, ...,bm). : : : lm, 1 lm, 2 Im,m Suppose Oscar has learned that the plaintext adisplayedequation is encrypted to give the ciphertext DSRMSIOPLXLJBZULLM and Oscar also knows that m = 3. Determine the key, showing all computations.

The graph of ax + by + cz = 0 isa plane through the origin (provided that not all ofa, b, and c are zero). Use Theorem 1.3.1 to showthat two planes through the origin have a point incommon other than the origin (0, 0, 0). Theorem 1.3.1: If a homogeneous system of linear equations has more variables than equations, then it has a nontrivial solution (in fact, infinitely many).

The effect of temperature on the rate of a reaction was studied and the following data obtained: k (s¹) T (°C) 7.98x10-4 9 1.16x10-3 14 1.79x10-3 20 2.54x10-3 25 4.93×10-3 35 7.64x10-3 42 1.23x10-² 50 1.47x10-2 53 It is known that the variation of the rate constant k with the absolute temperature T is described by the Arrhenius equation: k = A exp [(-E₂ The effect of temperature on the rate of a reaction was studied and the following data obtained: k (s¹) T (°C) 7.98x10-4 9 1.16x10-3 14 1.79x10-3 20 2.54x10-3 25 4.93×10-3 35 7.64x10-3 42 1.23x10-² 50 1.47x10-2 53 It is known that the variation of the rate constant k with the absolute temperature T is described by the Arrhenius equation: k = A exp [(-E₂ )/(RT)] where E, is the activation energy, R is the universal gas constant and A is the pre-exponential factor (units of the rate constant). Taking the natural logarithm of both sides affords: Ea In k = In A- RT For a plot of y = Ink versus x = 1/T, calculate the slope of the best straight line using linear regression.

Choi Company manufactures two skin care lotions, Smooth Skin and Silken Skin, from a joint process. The joint costs incurred are \( \$ 410,000 \) for a standard production run that generates 290,000 pints of Smooth Skin and 130,000 pints of Silken Skin. Smooth Skin sells for \( \$ 2.50 \) per pint, while Silken Skin sells for \( \$ 4.00 \) per pint. Choi Company manufactures two skin care lotions, Smooth Skin and Silken Skin, from a joint process. The joint costs incurred are \( \$ 410,000 \) for a standard production run that generates 290,000 pints of Smooth Skin and 130,000 pints of Silken Skin. Smooth Skin sells for \( \$ 2.50 \) per pint, while Silken Skin sells for \( \$ 4.00 \) per pint. Requlred: 1. Assuming that both products are sold at the split-off point, how much of the joint cost of each production run is allocated to Smooth Skin using the relative sales value method? 2. If no separable costs are incurred after the split-off point, how much of the joint cost of each production run is allocated to Silken Skin using the physical measure method? 3. If separable processing costs beyond the split-off point are \( \$ 1.60 \) per pint for Smooth Skin and \( \$ 1.30 \) per pint for Silken Skin, how much of the joint cost of each production run is allocated to Silken Skin using a net realizable value method? 4. If separable processing costs beyond the split-off point are \( \$ 1.60 \) per pint for Smooth Skin and \( \$ 1.30 \) per pint for Silken Skin, how much of the joint cost of each production run is allocated to Smooth Skin using a physical measure method? (For all requlrements, do not round Intermedlate calculations. Round flnel answers to nearest whole doller amounts.)

Please write your answer in python Define a function called sasquatch(), which has one parameter. Name the parameter whatever you want The function should print the value of its parameter to the console. Additional Notes: Regarding your code's standard output, CodeLab will check for case errors and will check whitespace (tabs, spaces, newlines) exactly.

The initial mass of a certain species of fish is 2 million tons. The mass of fish, if left alone, would increase at a rate proportional to the mass, with a proportionality constant of 4/yr. However, commercial fishing removes fish mass at a constant rate of 11 million tons per year. When will all the fish be gone? If the fishing rate is changed so that the mass of fish remains constant, what should that rate be?

The initial mass of a certain species of fish is 2 million tons. The mass of fish, if left alone, would increase at a rate proportional to the mass, with a proportionality constant of 5/yr. However, commercial fishing removes fish mass at a constant rate of 12 million tons per year. When will all the fish be gone? If the fishing rate is changed so that the mass of fish remains constant, what should that rate be? When will all the fish be gone? Inco The fish will all be gone in years. (Round to three decimal places as needed.)