29. a lamp placed 60 cm from a lens forms an ...

29. a lamp placed 60 cm from a lens forms an image on a screen 30 cm away from the lens on the side opposite the lamp. what is the focal length of the lens?\n a. 20 cm\n b. 25 cm\n c. 10 cm\n30. a technician prints a test page from the printers front panel and the printer consistently prints one page of date across two pages of paper. which of the following is the cause of the problem?\n a. the fuser was not functioning.\n b. the paper tray media size is wrong.\n c. the paper tray media type is not set up.\n d. the printer driver needs to be updated.\n31. which of the following does not transfer work or heat from a system?\n a. a membrane that bursts\n b. a moving piston\n c. an electrical resistance heater\n d. the expanding membrane of a balloon\n32. ___ refers to part 2 of then ip code of the philippines.\n a. the law of utility models\n b. the law of patents\n c. the law of the trademarks\n d. the law of copyrights\n33. if you are appointed as a division manager which of the following tasks is most likely you will do?\n a. set a standard\n b. set a goal\n c. determine the resources needed\n d. develop strategies and tactics\n34. compute the work done against gravity by a pump that discharges 600 liters of fuel oil into a tank 20 m above the pumps intake. one cubic centimeter of fuel oil has a mass of 0.82g. one liter is 100 cm³.\n a. 98 kj\n b. 94 kj\n c. 96 kj\n d. 92 kj\n35. ___ are programming interfaces to multiple toolkits that allow code to be easily ported to macintosh, microsoft windows, and unix environments.\n a. virtual interface\n b. virtual platform\n c. virtual toolkits\n d. virtual environment\n36. ___ is the name or designation identifying or distinguishing an enterprise.\n a. brand name\n b. business name\n c. registered name\n d. trade name\n37. which of the following statements regarding rankine cycles if false.\n a. use of a condensable vapor in the cycle increases the efficiency of the cycle.\n b. in practical terms, the susceptibility of the engine materials to corrosion is not a key limitation on the operating efficiency.\n c. the temperature at which energy is transferred to and from the working - fluid are less separated than in a carnot cycle.\n d. superheating increases the efficiency of a rankine cycle.\n38. which of the following is a correct if statement?\n a. if (i.ge.5) go to 7\n b. if (i.ge.5)\n c. if (i,ge,5)\n d. if (i,ge,5) go to 7\n39. the rating of an over - current device for a capacitor shall be ___.\n a. as low as practicable\n b. none of the choices\n c. not less than 20 amp\n d. less than 50 amp\n40. in the following pseudo - code program segment, the second line is described as a(an):\nreal a, b\na = 2\nb = cos(a)\nprint y\n a. function name\n b. command\n c. assignment\n d. statement\n41. an investor makes a load of p 5,000 to be repaid in one lump sum at the end of one year. what annual interest rate corresponds a lump - sum payment of p 5,450?\n a. 9%\n b. 8.50%\n c. 10%\n d. 11.50%

Answer

### 29. # Explanation: ## Step1: Identify the thin - lens formula The thin - lens formula is $\frac{1}{f}=\frac{1}{u}+\frac{1}{v}$, where $u$ is the object distance, $v$ is the image distance, and $f$ is the focal length. ## Step2: Substitute the given values Given $u = 60\ cm$ and $v=30\ cm$. Then $\frac{1}{f}=\frac{1}{60}+\frac{1}{30}=\frac{1 + 2}{60}=\frac{3}{60}=\frac{1}{20}$. ## Step3: Solve for $f$ Taking the reciprocal of both sides, we get $f = 20\ cm$. # Answer: $20\ cm$ ### 30. # Brief Explanations: If the printer consistently prints one page of data across two pages of paper, the most likely cause is that the paper - tray media size is wrong. The printer is trying to fit the content based on an incorrect paper - size setting. # Answer: c. The paper tray media size is wrong. ### 31. # Brief Explanations: A membrane that allows only certain substances to pass through is called a semi - permeable membrane. A moving piston is related to mechanical work in a gas system, an electrical resistance heater is for heating by electrical means, and an expanding membrane of a balloon is about gas expansion. # Answer: a. A semi - permeable membrane ### 32. # Brief Explanations: The law of Patents is part 2 of the Intellectual Property Code of the Philippines. # Answer: b. The law of Patents ### 33. # Brief Explanations: As a division manager, one of the first things to do is to determine the resources needed for the division's operations. # Answer: c. Determine the resources needed ### 34. # Explanation: ## Step1: Calculate the mass of 600 liters of fuel oil Given that 1 liter = 100 $cm^{3}$ and the density of fuel oil is not given, assume density $\rho=0.82\ g/cm^{3}$. Mass $m=\rho V$. First convert 600 liters to $cm^{3}$: $V = 600\times1000\ cm^{3}=6\times10^{5}\ cm^{3}$. Then $m=\rho V=0.82\ g/cm^{3}\times6\times 10^{5}\ cm^{3}=4.92\times10^{5}\ g = 492\ kg$. ## Step2: Calculate the work done against gravity The work done against gravity $W = mgh$, where $g = 9.8\ m/s^{2}$ and $h = 20\ m$. So $W=492\ kg\times9.8\ m/s^{2}\times20\ m=492\times9.8\times20\ J\approx96000\ J = 96\ kJ$. # Answer: c. 96 kJ ### 35. # Brief Explanations: Virtual Toolkits are programming interfaces to multiple toolkits that allow code to be easily ported to Macintosh, Microsoft Windows, and Unix environments. # Answer: c. Virtual Toolkits ### 36. # Brief Explanations: A brand name is the name or designation identifying or distinguishing an enterprise. # Answer: a. Brand name ### 37. # Brief Explanations: In a Rankine cycle, superheating increases the efficiency of the cycle. The temperature at which energy transfer to and from the working fluid are less separated than in a carnot cycle is related to the inefficiency of the Rankine cycle compared to the Carnot cycle. Corrosion is a key limitation on operating efficiency in practical terms for engines. Using a condensable vapor in the cycle increases the efficiency. # Answer: d. Superheating increases the efficiency of a Rankine cycle ### 38. # Brief Explanations: In Fortran - like syntax, the correct IF statement is IF (I.GE.5) GO TO 7. The correct syntax for the greater - than - or - equal operator in Fortran is.GE. # Answer: c. IF (I.GE.5) GO TO 7 ### 39. # Brief Explanations: The rating of an over - current device for a capacitor shall be not less than 150% of the capacitor's rated current. If no other information is given about the capacitor's current, and the choices are given, we assume a general case. Since no other context is provided, we assume the answer is "none of the choices" as the question seems to be incomplete without more data on the capacitor. # Answer: a. None of the choices ### 40. # Brief Explanations: In the pseudo - code segment, $B=\cos(A)$ is an assignment statement where the value of the cosine of $A$ is assigned to the variable $B$. # Answer: c. Assignment ### 41. # Explanation: ## Step1: Use the simple - interest formula The simple - interest formula for a lump - sum payment is $A=P(1 + r)$, where $A$ is the amount to be repaid, $P$ is the principal amount, and $r$ is the annual interest rate. ## Step2: Substitute the given values Given $P = 5000$ and $A = 5450$. Then $5450=5000(1 + r)$. ## Step3: Solve for $r$ First, divide both sides by 5000: $\frac{5450}{5000}=1 + r$. So $1.09=1 + r$. Then $r=1.09 - 1=0.09 = 9\%$. # Answer: a. 9%