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Question: If log_5(x) = 1/2, what is the value of x?Options: 525sqrt(5)1/5Correct Answer: sqrt(5)Sol..
Question: Solve for x: log_3(x) = 2.Options: 6932Correct Answer: 9Solution: log_3(x) = 2 implies x =..
Question: What is the solution to the inequality 6x + 2 ≤ 14?Options: x ≤ 2x < 2x ≥ 2x > 2Correct An..
Question: Solve the inequality 4x - 7 ≥ 9.Options: x ≥ 4x ≤ 4x > 4x < 4Correct Answer: x ≥ 4Solution..
Question: If \\( C = \\begin{pmatrix} 1 & 1 & 1 \\\\ 1 & 2 & 3 \\\\ 1 & 3 & 6 \\end{pmatrix} \\), fi..
Question: What is the determinant of the matrix \\( \\begin{pmatrix} 5 & 6 \\\\ 7 & 8 \\end{pmatrix}..
Question: For the matrix \\( B = \\begin{pmatrix} 1 & 2 \\\\ 2 & 4 \\end{pmatrix} \\), what is the d..
Question: Evaluate the determinant \\( \\begin{pmatrix} 2 & 1 & 3 \\\\ 1 & 0 & 2 \\\\ 3 & 2 & 1 \\en..
Question: Find the value of the determinant \\( \\begin{pmatrix} a & b \\\\ c & d \\end{pmatrix} \\)..
Question: Calculate the determinant of the matrix \\( \\begin{pmatrix} 2 & 3 \\\\ 1 & 4 \\end{pmatri..
Question: A 6 kg object is at rest on a horizontal surface. If a horizontal force of 12 N is applied..
Question: A 15 kg object is subjected to a net force of 45 N. What is its acceleration?Options: 1 m/..
Question: A 4 kg object is moving with a velocity of 5 m/s. What is its momentum?Options: 10 kg·m/s2..
Question: A 12 kg box is pulled with a force of 60 N at an angle of 30 degrees to the horizontal. Wh..
Question: A 3 kg object is in free fall. What is the force acting on it due to gravity?Options: 3 N9..
Question: A 5 kg object is pushed with a force of 15 N. If the frictional force is 5 N, what is the ..
Question: If z = 2(cos(π/3) + i sin(π/3)), find z in rectangular form.Options: 1 + √3i2 + √3i1 + 2i2..
Question: If the temperature of a gas is halved, what happens to its RMS speed?Options: Increases by..
Question: Which of the following statements is true regarding RMS speed?Options: It is always greate..
Question: At what temperature will the RMS speed of a gas be 1000 m/s if its molar mass is 0.044 kg/..
Question: If the RMS speed of a gas is 400 m/s, what is the speed of the molecules in terms of avera..
Question: Calculate the RMS speed of a gas with molar mass 0.028 kg/mol at 300 K. (R = 8.314 J/(mol ..
Question: For an ideal gas, if the temperature is increased, what happens to the RMS speed?Options: ..
Question: If the molar mass of a gas is doubled, how does the RMS speed change?Options: Increases by..
Question: Which gas law describes the relationship between pressure, volume, and temperature?Options..
Question: In which condition does a real gas behave most like an ideal gas?Options: High pressure an..
Question: What is the relationship between pressure and volume in Boyle\'s Law?Options: P ∝ VPV = co..
Question: What is the value of x in the equation 2x^2 - 8x + 6 = 0?Options: 1234Correct Answer: 3Sol..
Question: If a + b = 10 and ab = 21, what are the values of a and b?Options: 3 and 74 and 65 and 52 ..
Question: What is the value of x in the equation 5(x - 2) = 3x + 4?Options: -1234Correct Answer: -1S..
