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Find the product of the prime factors of 50 and 4410 .
Arithmetic Mar 29, 2025
(b) Solve the following equations 42y−5−3y+3=0. 6 (a) Factorise these quadratic expression
Algebra Mar 29, 2025
(d) U(s)(s)+3 F2(g)→2H(g)UF6(s) Question \#5 The gold-198 isotope is used in the treatment of brain, prostate, and ovarian cancer. Au-198 has a half-life of 2.69 d . If a hospital needs to have 15 mg of Au−198 on hand for treatments on a
Chemistry Mar 28, 2025
CHM 111: General Chemistry 1 2024/2025 Session INSTRUCTION: Answer all questions Question \# 1 An antacid tablet contains sodium hydrogen carbonate, NaHCO3, and inert ingredient. A 0.500 g sample of powdered tablet was mixed with 50.0 mL of 0.190 M HCl (hydrochloric acid). The mixture was allowed to stand until it reacted. NaHCO3(s)+HCl(aq)→NaCl(aq)+H2O(l)+CO2(g) The excess hydrochloric acid was titrated with 47.1 mL of 0.128 M NaOH (sodium hydroxide). HCl(aq)+NaOH(aq)→NaCl(aq)+H2O(l) What is the percentage of sodium hydrogen carbonate in the antacid? Question \# 2 Arsenic acid, H3AsO4, is a poisonous acid that has been used in the treatment of wood to prevent insect damage. Arsenic acid has three acidic protons. Say you take a 26.14−mL sample of arsenic acid and prepare it for titration with NaOH by adding 25.00 mL of water. The complete neutralization of this solution requires the addition of 53.07 mL of 0.6441 M NaOH solution. Write the balanced chemical reaction for the titration, and calculate the molarity of the arsenic acid sample. Question \# 3 Arrange the following substances ( 1 mole each) in order of increasing entropy at 25∘C. (a) Ne(g). (b) SO2(g), (c) Na(s),, (d) NaCl(s),, (e) H2(g).. Give the reasons for your arrangement. Question \# 4 State whether the sign of the entropy change expected for each of the following processes will be positive or negative, and explain your predictions. (a) PCl3(l)+Cl2(g)→PCl5(s) (b) 2HgO(s)→2Hg(l)+O2(g) (c) H2(g)→2H(g) (d) U(s)+3 F2( g)→UF6(s)
Chemistry Mar 28, 2025
36. A chord subtends an angle of 120∘ at the centre of a circle of radius 3.5 cm . Find the perimeter of the minor sector containing the chord [ Take π=227] A. 1413 cm B. 1256 cm C. B17 cm D. 713 cm 7. If sin⁡x=54 and
Geometry Mar 28, 2025
D. 713 cm 37. If sin⁡x=513 and 0∘≤x≤90∘ find the value of (cos⁡x−tan⁡x).  A. 713 B. 1213 C) 79156 D. 209156
Trigonometry Mar 28, 2025
34. In a class of 60 students, 50 offer Biology and 40 offer Physics. If 5 do not offer the two subjects, how many students offer both subjects? A. 10 B. 20 C 35 D. 45 35. A chord, 7 cm long, is Jrawn in a circle with radius 3.7 cm . Calculate the distance of the chord from the centre of the circle. A. 0.7 cm (B. 1.2 cmC.2.0 cm D. 2.5 cm 36. A chord subtends an angle of 1203 at the centre of a circle of radius 35 cm . Find the perimeter of the minor sector containing the chord. [ Take π=227] A. 1413 cm B. 1255 cm C. B17 cm D. 713 cm 37. If sin⁡x=513 and 00≤x≤900. find the value of (cos⁡x−tan⁡x). A. 713 B. 1213 C) 79156 D. 209156 38. One of the roots of the equation x2+9=0 is (8) 3 B. -3 C. -9 D. None of these
Geometry Mar 28, 2025
c. Show that sin⁡3A=3sin⁡A−4sin3⁡A
Trigonometry Mar 27, 2025
b Find the values of α for which the quadratic equation 4x2−(α−12)x+(α−7)=0 has equal roots
Algebra Mar 27, 2025
1a Using the principle of mathematical induction prove that 6n−1 is divisible by 5
Pre Algebra Mar 27, 2025
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