3.15 Air with 100% humidity is not pleasant, even at 68°F. Air with 50% humidity at 68°F can be produced by cooling some air below 68°F and then mixing with some hot, humid air at 95°F. This process is shown in the schematic below. air: 95°F 3.20 wt% water air: 95°F cold air: 3.20 wt% water , 100% humidity cooler (3 mixer air: 154.0 kg/min water 68°F 4.7 kg/min 0.72 wt% water (50% humidity)
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- Let l be a line in the x-yplane. If l is a vertical line, its equation is x = a for some real number a. Suppose l is not a vertical line and its slope is m. Then the equation of l is y = mx + b, where b is the y-intercept. If l passes through the point (x₀, y₀), the equation of l can be written as y - y₀ = m(x - x₀). If (x₁, y₁) and (x₂, y₂) are two points in the x-y plane and x₁ ≠ x₂, the slope of line passing through these points is m = (y₂ - y₁)/(x₂ - x₁). Instructions Write a program that prompts the user for two points in the x-y plane. Input should be entered in the following order: Input x₁ Input y₁ Input x₂3. Your college quadrangle is 85 meters long and 66 meters wide. When you are late for class, you can walk (well, run) at 7 miles per hour. You are at one corner of the quad, and your class is at the directly opposite corner. How much time can you save by cutting across the quad rather than walking around the edge? 5. A 1-kilogram mass has just been dropped from the roof of a building. I need to catch it after it has fallen exactly 100 meters. If I weigh 80 kilograms and start running at 7 meters per second as soon as the object is released, how far away can I stand and still catch the object?John is training for a marathon and he can easily alternate between running a mile and walking a mile. If he runs for 2 miles in a row, he becomes fatigued, and must then walk for 2 miles in a row in order to no longer be fatigued. When he is fatigued, he can still alternate between running a mile and walking a mile, but if he runs 2 miles in a row while already fatigued, he will collapse on the side of the road. If he runs 3 miles in a row at any point, he will also collapse. Let the letter 'a' stand for John running 1 mile, and the letter 'b' stand for John walking 1 mile. Draw a DFA which accepts all possible runs in which John does not collapse on the side of the road.
- I don't need a code for these questions. I just need them answered Nine steel specimens were submerged in seawater at various temperatures, and the corrosion rates were measured. The results are presented in the following table:Temperature (OC)Corrosion(mm/yr.)26.6 1.5826 1.4527.4 1.1321.7 0.9614.9 0.9911.3 1.0515 0.828.7 0.688.2 0.59a. Construct a scatterplot of corrosion (y) vs. temperature (x). Verify that a linear model is appropriate.b. What is the least-square line (trendline/regression line) for predicting corrosion from temperature?c. Two steel specimens whose temperatures differ by 10OC are submerged in seawater. By how much would you predict their corrosion rates differ?d. Predict the corrosion rate for steel submerged in seawater at a temperature of 20OC.e. Construct a table with predicted values from the original dataset.f. Compute the residuals. Which point has the residual with the largest magnitude?g. What is the correlation between temperature and corrosion rate? What…Let l be a line in the x-y plane. If l is a vertical line, its equation is x 5a for some real number a. Suppose l is not a vertical line and its slope is m. Then the equation of l is y 5mx 1b, where b is the y-intercept. If l passes through the point (x0, y0,), the equation of l can be written as y 2y0 5m(x 2x0 ). If (x1, y1) and (x2, y2) are two points in the x-y plane and x1 ≠ x2, the slope of line passing through these points is m 5(y2 2y1 )/(x2 2x1 ). Write a program that prompts the user two points in the x-y plane. The program outputs the equation of the line and uses if statements to determine and output whether the line is vertical, horizontal, increasing, or decreasing. If l is a non-vertical line, output its equation in the form y 5mx 1b.Simplify the following Boolean functions. F(w, x, y, z) = !w!x!yz + !w!xyz + !wx!y!z + wx!y!z + xy!z + w!x!yz + w!xyz F(w, x, y, z) = ? Simplify the following Boolean functions. F(x, y, z) = xy + !xz + yz F(x, y, z) = ? Simplify the following Boolean functions. F(w, x, y, z) = !w!xz + w!xz + !w!x!y!z + !w!xy!z + !wx!y!z + !wxy!z + wxy!z + wx!y!z + w!x!y!z + w!xy!z F(w, x, y, z) = ?
- Simplify the following Boolean functions. F(w, x, y, z) = !w!xz + w!xz + !w!x!y!z + !w!xy!z + !wx!y!z + !wxy!z + wxy!z + wx!y!z + w!x!y!z + w!xy!z F(w, x, y, z) = _____answer_______ *Please do not include "F(w, x, y, z) = " in your solution. Add a single space between variables and operators.Simplify the following Boolean functions, using three-variable k-maps: a. F (x,y,z) = Σ(2,3,4,5) b. F (x,y,z) = Σ(0,2,4,6) c. F (x,y,z) = Σ(1,2,3,6,7) d. F (x,y,z) = Σ(1,2,3,5,6,7) e. F (x,y,z) = Σ(3,4,5,6,7)13.sol Matlab The electrical circuit shown consists of resistors and voltage sources. Determine the current in each resistor, using the mesh current method that is based on Kirchhoff's second voltage law. V =38 V, V = 20V, V, = 24V R, =15Ω R, = 182 R, = 10Ω R, =9Ω R, = 5Ω R, = 14Ω R, = 82 R, = 132
- Derive the truth table, simplified Boolean function (equation), and draw the logical diagram. F(A,B,C)= ∑ (0,1,4,5,6,) F(w,x,y,z) = ∑ (1,3,4,7,10,12,13,15) F(x,y,z) = π (1,3,4,5,7 ) F(w,x,y,z) = π (0,1,4,5,6,8,9,11,12,14,15) Implement using NAND-NAND, F= B'+CD'(A+B)+A'BCThree prisoners have been sentenced to long terms in prison, but due to over crowed conditions, one prisoner must be released. The warden devises a scheme to determine which prisoner is to be released. He tells the prisoners that he will blindfold them and then paint a red dot or blue dot on each forehead. After he paints the dots, he will remove the blindfolds, and a prisoner should raise his hand if he sees at least one red dot on the other two prisoners. The first prisoner to identify the color of the dot on his own forehead will be release. Of course, the prisoners agree to this. (What do they have to lose?) The warden blindfolds the prisoners, as promised, and then paints a red dot on the foreheads of all three prisoners. He removes the blindfolds and, since each prisoner sees a red dot (in fact two red dots), each prisoner raises his hand. Some time passes when one of the prisoners exclaims, "I know what color my dot is! It's red!" This prisoner is then released. Your problem…A standard science experiment is to drop a ball and see how high it bounces. Once the “bounciness” of the ball has been determined, the ratio gives a bounciness index. For example, if a ball dropped from a height of 10 feet bounces 6 feet high, the index is 0.6, and the total distance traveled by the ball is 16 feet after one bounce. If the ball were to continue bouncing, the distance after two bounces would be 10 ft + 6 ft +6 ft + 3.6 ft = 25.6 ft. Note that the distance traveled for each successive bounce is the distance to the floor plus 0.6 of that distance as the ball comes back up. Write a program that lets the user enter the initial height from which the ball is dropped, the bounciness index, and the number of times the ball is allowed to continue bouncing. Output should be the total distance traveled by the ball. Below is an example of the program input and output: Enter the height from which the ball is dropped: 25 Enter the bounciness index of the ball: .5 Enter the number of…