The coefficient of x^5 in (x - 1)^8 is C(8,5) * (-1)^3 = 56 * (-1) = -56.

The term containing x^2 is given by C(4, 2)(-2)^2x^2 = 6 * 4 * x^2 = 24x^2, but since it is negative, it is -12x^2.

The coefficient of x^4 is given by C(6,4) * (-2)^2 = 15 * 4 = 60.

The term containing x^2 is given by C(6, 2) * (x)^2 * (-2)^(6-2) = 15 * x^2 * 16 = 240x^2, so the term is -80x^2.

The coefficient of x^5 is C(8,5) * (-2)^3 = 56 * (-8) = -448.

The result should have 3 significant figures, as 0.0034 has the least precision.

The result of 3.4567 + 2.1 is 5.5567. However, since 2.1 has only 2 significant figures after the decimal, the result should be rounded to 5.6, which has 3 significant figures.

The number 3.4567 has 4 significant figures. The leading digit is not counted as significant.

To find x, subtract 5 from both sides: 3x = 20 - 5 = 15. Then divide by 3: x = 15 / 3 = 5.

To solve for x, subtract 2x from both sides: 3x - 2x = 10 - 5, which simplifies to x = 5.

The common factor in all terms is 4, so the expression can be factored as 4(x^2 + 2x + 1).

The discriminant is b^2 - 4ac = (-12)^2 - 4(4)(9) = 0.

The vertex can be found using the formula x = -b/(2a), which gives x = 1.5. Substituting back gives the y-coordinate.

The term 2.1 × 10^2 has 2 significant figures, so the final answer should be rounded to 2 significant figures.

Substituting x = 2 into the equation gives 5(2) + 3y = 15, which simplifies to 10 + 3y = 15. Thus, 3y = 5, and y = 5/3.

Substituting x = 2 into the equation gives 5(2) + 3y = 20. This simplifies to 10 + 3y = 20, leading to 3y = 10, thus y = 10/3, which is approximately 3.33. The closest integer option is 4.

The constant term is the one without a variable, which is 2.

The property of logarithms states that the sum of logarithms with the same base is equal to the logarithm of the product, thus log_a(b) + log_a(c) = log_a(bc).

The mode is 4, as it appears most frequently (three times) in the data set.

The mode is 4, as it appears most frequently (three times) in the data set.

The mode is 12, which appears three times, more than any other number.

The mode is 70, as it appears 3 times, which is more than any other score.

In the Freundlich isotherm, K is the adsorption coefficient that indicates the extent of adsorption.

To find the x-intercepts, set f(x) = 0: x^2 - 4 = 0, which factors to (x - 2)(x + 2) = 0, giving x-intercepts at 2 and -2.

Substituting x = 2 gives f(2) = |2 - 2| = |0| = 0.

The graph of f(x) = |x| forms a V-shape, reflecting the absolute value function.

The absolute value function |x| outputs the positive value of x, regardless of whether x is negative or positive.

The absolute value function returns the non-negative value of x, so f(-3) = 3.

The bar graph shows Product B with the highest sales in Q2.

Product B sold 50 units in Q1, 70 in Q2, 80 in Q3, and 50 in Q4, totaling 250 units.