The sum of the first 100 positive integers is given by the formula (1 + 100) * 100 / 2 = 5050.

The area of a circle is given by the formula πr^2, where r is the radius of the circle. Therefore, the area of a circle with radius 5 cm is π * 5^2 = 25π cm^2.

The volume of a cube is given by the formula V = s^3, where s is the side length of the cube. Therefore, the volume of a cube with side length 4 cm is 4^3 = 64 cm^3.

The slope of a line is given by the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line. Therefore, the slope of the line that passes through the points (2, 3) and (5, 7) is (7 - 3) / (5 - 2) = 4 / 3 = 2.

The equation of a line in slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y-intercept. Therefore, the equation of the line that passes through the point (3, 4) and has a slope of 2 is y = 2x + b. To find the value of b, we can substitute the point (3, 4) into the equation: 4 = 2(3) + b. Solving for b, we get b = 2. Therefore, the equation of the line is y = 2x + 2.

To solve the equation x^2 - 4x + 3 = 0, we can use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a. In this case, a = 1, b = -4, and c = 3. Substituting these values into the formula, we get x = (-(-4) ± √((-4)^2 - 4(1)(3))) / 2(1) = (4 ± √(16 - 12)) / 2 = (4 ± √4) / 2 = (4 ± 2) / 2. Therefore, the solutions to the equation are x = 1 and x = 3.

The expression (2^3)^2 is equal to 2^(3 * 2) = 2^6 = 64.

The expression log_2(16) is equal to the exponent to which 2 must be raised to get 16. Since 2^4 = 16, the value of the expression is 4.

The value of the expression sin(30°) + cos(60°) is equal to (1/2) + (1/2) = 1.

The value of the expression tan(45°) is equal to 1.

The value of the expression sec(60°) is equal to 2.

The value of the expression csc(30°) is equal to 2.

The value of the expression cot(45°) is equal to 1.

The value of the expression sin(θ) + cos(θ) if sin(θ) = 3/5 and cos(θ) = 4/5 is equal to (3/5) + (4/5) = 7/5.

The value of the expression tan(θ) if sin(θ) = 3/5 and cos(θ) = 4/5 is equal to (3/5) / (4/5) = 3/4.