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Questions in Grade High-school

📝 Answered - Which equation has the solutions [tex]$x=\frac{5 \pm 2 \sqrt{7}}{3}$[/tex]? [tex]$3 x^2-5 x+7=0$[/tex] [tex]$3 x^2-5 x-1=0$[/tex] [tex]$3 x^2-10 x+6=0$[/tex] [tex]$3 x^2-10 x-1=0$[/tex]

📝 Answered - The vertex of this parabola is at $(-3,-2)$. Which of the following could be its equation? A. $y=-2(x-3)^2-2$ B. $y=-2(x+3)^2-2$ C. $y=-2(x-3)^2+2$ D. $y=-2(x+3)^2+2$

📝 Answered - Nitrogen dioxide, $NO _2(g)$ ( $\triangle H_{ t }=33.84 kJ / mol$ ), is decomposed according to the following reaction: $2 NO_2(g) \rightarrow N_2(g)+2 O_2(g)$ What is the enthalpy change when 2.50 mol of nitrogen dioxide decomposes? Use $\Delta H_{p x D}=\sum(\Delta H_{\text {f, products }})-\sum(\Delta H_{f, \text { reactants }})$. A. 13.5 kJ of energy released B. 13.5 kJ of energy absorbed C. 84.6 kJ of energy released D. 84.6 kJ of energy absorbed

📝 Answered - [tex]\frac{7}{9} \div \frac{35}{45}[/tex]

📝 Answered - Try it... 10, 9, 60, 90, 70, 66, ? 1) 88 2) 96 3) 85 4) 91

📝 Answered - Match the following: 12. Column-I (a) Ideal gas law (b) Avogadro gas law (c) Boyle's temperature (d) 22.7 L at STP Column-II (p) V ∝ n (q) PV = nRT (r) Molar volume of ideal gas (s) Gas follows ideal gas equation 13. Column-I (a) Ideal gas isotherm (b) Ideal gas Temp is increased by (c) Real gases deviate from ideal gases (d) 2 Mol of ideal gas at 540 K is 44.8 L, its P is Column-II (p) Plot of V at const T (q) Increasing P and M and V constant (r) because of attraction of molecules (s) 2 atm

📝 Answered - Solve the following word problems. a. Alisha has a ribbon that is 12.6 metres long. Shambhvi has a ribbon that is 2.8 metres shorter than Alisha's ribbon. What is the total length of the two ribbons? b. Mohit has a bottle that has 2.17 litres of water and Priya has a jug that has 0.79 litres less water than the bottle. Find the total litres of water in both. c. A coconut tree is 6.6 metres tall and a mango tree is 3.4 metres shorter than the coconut tree. Find the total height of both the trees. d. Sack P contains 34.5 kg of potatoes and Sack Q contains 4.8 kg more potatoes than that of Sack P. Find the total weight of potatoes in both the sacks.

📝 Answered - What is the solution to the equation 2(4 - 3x) + 5(2x - 3) = 20 - 5x? Options: A) x = -13 B) x = 5/4 C) x = 13/2 D) x = 3

📝 Answered - A quadratic polynomial, whose zeroes are -4 and -5, is a) x² - 9x + 20 b) x² + 9x + 20 c) x² - 9x - 20 8. For p(x) = ax² + bx + c, sum of zeroes is equal to a) zero b) c/a c) -b/a 9. Assertion: √2 is an irrational number. Reason: A number is irrational if it cannot be expressed in the form p/q, where p and q are integers and q ≠ 0 a) Both A and R are true, and R is the correct explanation of A. b) Both A and R are true, but R is not the correct explanation of A. c) A is true, but R is false. d) A is false, but R is true. 10. Assertion: If α & β are the zeroes of the quadratic polynomial x² - 7x + 10, then α + β = 7 and αβ = 10. Reason: For a polynomial ax² + bx + c, sum of zeroes = -b/a, and product = c/a. a) Both A and R are true, and R is the correct explanation of A. b) Both A and R are true, but R is not the correct explanation of A. c) A is true, but R is false. d) A is false, but R is true. SECTION - B 11. Find the HCF & LCM of 12, 15, 21 by applying the prime factorization method. 12. Given that HCF(306, 657) = 9, find LCM(306, 657). 13. Find the sum and product of the polynomial 2x² - 9x + 4 = 0. 14. Find the zeroes of the quadratic polynomial x² - 2x - 8, and verify the relationship between the zeroes and its coefficients. 15. If α & β are zeroes of the polynomial x² + 2x - 4, then find the value of 1/α + 1/β.

📝 Answered - If a woman is admitted to hospital for giving birth, which hormone is helping her in the delivery of her baby and releasing of milk? A. Vasopressin B. Aldosterone C. Progesterone D. Oxytocin