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- In the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product. Here is another example: The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as: C = (5/9)*(F - 32), where F is the Fahrenheit temperature and C is the Celsius temperature. If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer? Our input is 77. C = (5/9)*(77 - 32) C = (5/9)*(45) C = 25 The equivalent temperature is 25 degrees Celsius. To complete the Discussion activity, please do the following: Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above). Arm length is a function of height. The circumference of a circle is a function of diameter. The height of…The Fibonacci sequence is listed below: The first and second numbers both start at 1. After that, each number in the series is the sum of the two preceding numbers. Here is an example: 1, 1, 2, 3, 5, 8, 13, 21, ... If F(n) is the nth value in the sequence, then this definition can be expressed as F(1) = 1 F(2) = 1 F(3) = 2 F(4) = 3 F(5) = 5 F(6) = 8 F(7) = 13 F(8) = 21 F(n) = F(n - 1) + F(n - 2) for n > 2 Example: Given n with a value of 4F(4) = F(4-1) + F(4-2)F(4) = F(3) + F(2)F(4) = 2 + 1F(4) = 3 The value of F at position n is defined using the value of F at two smaller positions. Using the definition of the Fibonacci sequence, determine the value of F(10) by using the formula and the sequence. Show the terms in the Fibonacci sequence and show your work for the formula.When the robot makes a turn, it would be useful to have an operation to perform on d to represent this turn. This is because after making a turn, the new value of d will depend on the old value of d. Complete the table for the new values of d if the robot is turning left or right.Then determine an expression in terms of d that will give the new position if the robot turns left and another expression if the robot turns right. Type these expressions in the last row of the table. Attached is the table I completed. All rows are correct except the last one. I'm not sure what my error is.
- Computer Science Write a Java program that reads a line and a line segment and then determines whether they intersect or not. When they overlap completely, consider that as intersecting. Use variables ((lp1x, lp1y), (lp2x, lp2y)) to represent a line and ((sp1x, sp1y), (sp2x, sp2y)) to represent a line segmentGiven the following FSM M, the correct statements are: D 2 0 a 93 b a (a u ba)bb*a is a regular expression that generates L(M). (€ U b)a(bb*a)* is a regular expression that generates L(M). ba U ab*a is a regular expression that generate L(M). (a Uba)(bb*a)* is a regular expression that generate L(M).Summary: Given integer values for red, green, and blue, subtract the gray from each value. Computers represent color by combining the sub-colors red, green, and blue (rgb). Each sub-color's value can range from 0 to 255. Thus (255, 0, 0) is bright red, (130, 0, 130) is a medium purple, (0, 0, 0) is black, (255, 255, 255) is white, and (40, 40, 40) is a dark gray. (130, 50, 130) is a faded purple, due to the (50, 50, 50) gray part. (In other words, equal amounts of red, green, blue yield gray). Given values for red, green, and blue, remove the gray part. Ex: If the input is: 130 50 130 the output is: 80 0 80 Find the smallest value, and then subtract it from all three values, thus removing the gray.
- Summary: Given integer values for red, green, and blue, subtract the gray from each value. Computers represent color by combining the sub-colors red, green, and blue (rgb). Each sub-color's value can range from 0 to 255. Thus (255, 0, 0) is bright red, (130, 0, 130) is a medium purple, (0, 0, 0) is black, (255, 255, 255) is white, and (40, 40, 40) is a dark gray. (130, 50, 130) is a faded purple, due to the (50, 50, 50) gray part. (In other words, equal amounts of red, green, blue yield gray). Given values for red, green, and blue, remove the gray part. Ex: If the input is: 130 50 130 the output is: 80 0 80 Find the smallest value, and then subtract it from all three values, thus removing the gray. Note: This page converts rgb values into colors. 461710.3116374.qx3zqy7 LAB ACTIVITY 1 111 4.10.1: LAB: Remove gray from RGB Type your code here. 111 main.py 0/10 Load default template...Summary: Given integer values for red, green, and blue, subtract the gray from each value. Computers represent color by combining the sub-colors red, green, and blue (rgb). Each sub-color's value can range from 0 to 255. Thus (255, 0, 0) is bright red, (130, 0, 130) is a medium purple, (0, 0, 0) is black, (255, 255, 255) is white, and (40, 40, 40) is a dark gray. (130, 50, 130) is a faded purple, due to the (50, 50, 50) gray part. (In other words, equal amounts of red, green, blue yield gray). Given values for red, green, and blue, remove the gray part.Write down a regular expression for floating point numbers in Scientific notation. First write a regular expression for signed numbers and number with decimal point and then use these regular expressions to write the regular expression for scientific notation. Language Example +6, -12 Pattern All sequences of digits starting with + or – Signed Includes a decimal point and at least one digit to the left and right of the point. Signed or Decimal followed by e or E and a Signed number 10.541, 45.02 Decimal -10e-01, - 43E+10 Scientific
- Write a program in C language to simulate tossing a “fair” coin. Allow the user to enter the number of tosses.Print the number of tosses that yield heads and the number of tosses that yield tails.What should be the percentage distribution of heads and tails? (Use the function rand_int)Write recursive functions for the following equations:a. Harmonic number is defined by the equationb. Fibonacci numbers are defined by the formula:FN = FN-2 + FN-1, for N ≥ 2 with F0 = 0 and F1 = 1This is a fill in the Blank question. Students will see an empty textbook to type their answer. In the following, x and y are variables, A and B are constants. Fill in the correct substitution such that each of a(A, x) and a(y, B) will be the same expression (this process is called Unification). SUBST{X/ , y/