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9/15 How long is side \( x \) ? 2 ft 3 ft 4 ft 6 ft

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Part 1- Diffraction Due to a Double Slit (Young's Double Slit Experiment) Slide number: 469.92 75 Slits: 2 Distance from slits to screen, L: 0\textasciicircum{}0015 m Distance between the slits, d: 0\textasciicircum{}00060 m Distance from central bright fringe to mth bright fringe: 0\textasciicircum{}00613 m m: Calculate $y_m$ using your values for distance from central bright fringe to mth bright fringe, and m. $y_m = \frac{m\lambda L}{d}$ = 6.00613 Calculate wavelength of light ($\lambda$) using $y_m = \frac{m\lambda L}{d}$ m $0\textasciicircum{}00613 = \frac{\lambda (0\textasciicircum{}1347)}{0\textasciicircum{}00060}$ (1) Determine the uncertainty in your measurements and the maximum possible error of your calculated wavelength. Does your wavelength fit in this error range? Why or why not?

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Solve the rational equation. \(14) \frac{5 - x}{x} + \frac{3}{4} = \frac{7}{x}

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I Sketch each transformation. 11. $f(x) = 2\log(x)$ 13. $f(x) = \ln(-x)$ 15. $f(x) = \log_2(x+2)$

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13. LST/DIS Rank the following four (alloy of iron and the conditions) from the one having the largest diffusion coefficient to the smallest. Fully justify this ranking (a) N in Fe at 700°C, (b) Cr in Fe at 900°C, (c) N in Fe at 900°C, and (d) Cr in Fe at 900°C

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1/s R(s) C(s) R(s) 1 1 -1/s 1/s C(s) (a) Block Diagram Representation of the System -1/s (b) Signal Flow Graph of the System Figure 1: For problems 5-7 5. For the Signal Flow Graph shown in Figure 1b, which one of the following is a valid forward path? a -s $\frac{1}{s^2}$ None of the above 6. For the Signal Flow Graph shown in Figure 1b, which one of the following is a valid closed-loop? a -1 $\frac{-1}{s}$ -s None of the above 7. Using the Block Diagram in Figure 1a or the Signal Flow Graph in Figure 1b, what is the Transfer Function $H(s) = \frac{C(s)}{R(s)}$? a 1 $\frac{s}{s+1}$ $\frac{s^2+1}{s+1}$ $\frac{s+1}{s-1}$ None of the above

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is (17,000 \text{ } 10,000x \text{ } 24,000x^2) N, where x is in meters. A woman fires a rifle with barrel length of 0.5800 m. Let (0, 0) be where the 75 g bullet begins to move, and the bullet travels in the +x-direction. The force exerted by the expanding on the bu (a) Calculate the work done (in kJ) by the gas on the bullet as the bullet travels the length of the barrel. (Enter your answer to at least two decimal places.) kJ (b) If the barrel is 1.080 m long, how much work (in kJ) is done? (Enter your answer to at least two decimal places.) kJ (c) How does this value compare with the work calculated in part (a)? The work is greater by

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Vi C1 125k 55k C2 3k +12V Vo RE 2.5k hie=550? hfe=150

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Create a new empty class named Shape using the steps you learned in the first exercise. Then implement the Shape class which has the following criteria: A field to store the number of sides of the shape. An array field named sideLengths[] to store lengths of each side of the shape. The array should be the size of the number of sides on the shape. A method named CalculatePerimeter() which takes no arguments, but returns the sum of the sides of every element of the array sideLengths. CalculatePerimeter() should iterate over every element of the array sideLengths and then add them to a local variable. After the end of your loop, return that local variable. A constructor with parameters corresponding to the numberOfSides and sideLengths[] of the shape that get assigned to the fields of the class. Then, in your main method, create an instance of this class using the constructor you made and then write the number of sides, every side length, and the perimeter of that shape instance to the console window.

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Answer the following questions based on the given situation 5 points and Illustration. Mr. Cruz, a surveyor in East Residences Ortigas took some measuremerds across Ortigas Extension. Suppose \(\angle KER = \angle BRE\), as shown in the illustration below. Suddenly, he needs to withdraw cash at the RCBC Savings Bank which is 10 meters from his house at East Residences Ortigas. After he withdrew, he decided to buy food. Suppose he wants to buy food at KFC which is (4x - 15) meters from the RCBC Saving Bank and equidistant from his residence to Baliwag Lechon Manok with (3x + 28) meters. E (3y + 5) m K (3x + 28) m (4x - 15) m 192\(^{\circ}\) 18\(^{\circ}\) R (2y + 50) m B 157 m 140 m 70 degrees 90 degrees How far is KFC from RCBC Savings Bank? How far is Baliwag Letchon Manok from RCBC Savings Bank? How far is Baliwag Lechon from his residence? How far is KFC from his residence? What is the measure of \(\angle ERK\)?

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