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The gas particles move slower, decreasing the volume true or flase

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Name: Khart Aljhon Alcarns I. Expand the following expressions. 1. \( (x-y)\left(x^{2}+x y+y^{2}\right) \) II. Factor the following expressions. 3. \( 28 x^{5} y^{6}-8 x^{7} y^{7}+12 x^{3} y^{6} \) 5. \( 8 x^{3}-27 \) III. Simplify the following expressions. 7. \( \frac{20 m^{3} n^{2}}{16 m^{5} p^{3}} \) IV. Find the restricted value/s and domain of the following expressions. 9. \( \frac{4 x^{2}-1}{4 x^{2}+4 x+1} \) V. Perform the indicated operation. 11. \( \frac{a^{2}+a}{3 a-15} \div \frac{a^{2}+2 a+1}{5 a-30} \) 13. \( \frac{8 x^{3}}{4 x^{2}+6 x+9}+\frac{-27}{4 x^{2}+6 x+9} \) VI. Solve the given problem solving. 15. The stress on a solid material can be evaluated by the formula Stress \( (S)= \) \( \frac{\text { Force }\{(F)}{\text { Area }(A)} \). If the force applied to a steel matting with an area of \( \frac{2 x^{2}-7 x+3}{x^{2}-3 x+2} m^{2} \) is \( \frac{2 x^{2}+3 x-2}{x^{2}-x-2} \mathrm{~kg} \), find the stress on the steal matting. Section: 8 mbtermel 2. \( (x-y)(x+y) \) 4. \( 36 m^{2} n^{2}-266 m n+49 \) - Remedial f.t. 6. \( 25 a^{2} x^{2}-9 y^{2} \) 8. \( \frac{x^{2}-4}{x^{2}-4 x+4} \) 10. \( \frac{a^{2}+2 a+1}{6 a-30} \) 12. \( \frac{8 x^{2}+27}{2 x+3} \cdot \frac{2 z}{4 x^{2}-6 x+9} \) 14. \( \frac{a-1}{a}-\frac{a}{a-1} \)

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Allocating joint costs to products using a value basis method is based on their relative: Multiple Choice Sales values Direct costs Gross margins. Total costs. Variable costs.

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Find an equation of the line that goes through the points \((-3, -15)\) and \((-1, -7)\). Write your answer in slope-intercept form. y =

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If an individual develops an infection caused by bacteria in the lungs (bacterial pneumonia) while the individual was suffering from influenza or the flu, the bacterial pneumonia would be described as

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Let's say we are analyzing heights of students at a certain university by selecting samples. We do single sampling in two different sample sizes. So, we select 5 students as the 1st single sampling, and then, 50 students as the 2nd single sampling. In which case, do you expect higher standard deviation in general? Now, we do multiple sampling (with 1,000 times) in two different sample sizes. So we select 5 students for 1,000 times as the first multiple sampling, and select 50 students for 1,000 times as the second multiple sampling. And we record the means of each sample and observe the behavior of sample means for two different samplings with different sizes. In which case do you expect higher standard deviation?

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6. You are given that ABC is a right-angled triangle and that the right angle is at the vertex B. You are also given that $b = 15$ cm and $c = 12$ cm. (a) Label the triangle below in the standard way, to satisfy the above three given conditions. (4) (b) Calculate the exact value of $\sin A$. Write down your work. (4) 7. You are given that ABC is a triangle with $b = 9$ inches, $c = 16$ inches and $A = 52^\circ$. (a) Enter this information on the figure below. (You are required to label the vertices, the angles and the lengths of the sides in the standard way.) (4) (b) Solve the triangle. Round each value to the nearest whole number. Write down your work. (8)

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Explain why risk aversion gives rise to a market for insurance.

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14. Lightning protection air terminals must be placed within ? inches of the outside corner or edge of the object they are protecting. Oa. 10 Ob. 15 Oc. 24 Od. 36

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Texts: A three-phase 765 kV, 60Hz, 300 km line has the following positive sequence impedance and admittance: z = 0.0165 + j0.3306 Ω/km, y = j4.674x10^6 S/km. Identical shunt reactors (inductors) are connected from each phase conductor to neutral at both ends of the 300-km line during light load conditions, providing 50% compensation. The reactors are removed during heavy load conditions. Full load is 1.8 kA at unity power factor and at 730 kV. Assuming that the sending-end voltage (Vs) is constant, determine the following: a) ABCD parameters of the nominal circuit b) Sending end voltage (Vs) and current (Is) c) Percent voltage regulation of the uncompensated line d) Percent voltage regulation of the compensated line A three-phase 765 kV, 60Hz, 300 km line has the following positive sequence impedance and admittance: z = 0.0165 + j0.3306 Ω/km, y = j4.674x10^-6 S/km. Identical shunt reactors (inductors) are connected from each phase conductor to neutral at both ends of the 300-km line during light load conditions, providing 50% compensation. The reactors are removed during heavy load conditions. Full load is 1.8 kA at unity power factor and at 730 kV. Assuming that the sending-end voltage (Vs) is constant, determine the following: a) ABCD parameters of the nominal circuit b) Sending end voltage (Vs) and current (Is) c) Percent voltage regulation of the uncompensated line d) Percent voltage regulation of the compensated line

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