How are distance and displacement similar and different?

Why do you think the seafarer tells about his life and its hardships? Cite details from the poem to support your opinion.

The 2.5-Mg van is traveling with a speed of 100 km/h when the brakes are applied and all four wheels lock. If the speed decreases to 40 km/h in 5 s, determine the coefficient of kinetic friction between the tires and the road.

Evaluate the following integrals. $\int \frac { z + 1 } { z \left( z ^ { 2 } + 4 \right) } d z$

Decide whether each statement is always true, sometimes true, or never true. Justify your answers. a) Two line segments with the same midpoint have the same length. b) Two parallel line segments have the same midpoint. c) The midpoint of a line segment is the only point that divides it into two equal parts. d) A point equidistant from the endpoints of a line segment is the midpoint of the line segment.

The leaves of a tree lose water to the atmosphere via the process of transpiration. A particular tree loses water at the rate of $3 \times 10^{-8} \mathrm{m}^{3} / \mathrm{s}$; this water is replenished by the upward flow of sap through vessels in the trunk. This tree's trunk contains about 2000 vessels, each $100 \mu \mathrm{m}$ in diameter. What is the speed of the sap flowing in the vessels?

Solve each exponential equation. Express irrational solutions in exact form and as a decimal rounded to three decimal places. $2^{x+1}=5^{1-2 x}$

Write as powers of 3: $\frac{1}{9}$

Suppose $\int_{1}^{3} f(x) d x=10 \text { and } \int_{1}^{3} g(x) d x=-20$. Evaluate $\int_{1}^{3}(2 f(x)-4 g(x)) d x\$and$\int_{3}^{1}(2 f(x)-4 g(x)) d x$

Find each quotient. $\frac{2-3 i}{2+3 i}$

Express each union or intersection in simplest interval form. $(4, \infty) \cup(9, \infty)$

What is the mean of 4.2, 4.8, and 5.1?

A product will break even or produce a profit only if the revenue R (in dollars) from selling the product is at least equal to the cost C (in dollars) of producing it. Suppose that the cost to produce x units of carpet is C=50x+5000, while the revenue is R=60x. For what values of x is R at least equal to C?

Let the universe be the set U={1,2,3,...,10}. Let A={1,4,7,10}, B={1,2,3,4,5}, and C={2,4,6,8}. List the elements of each set.

$$(A\cup B)-(C-B)$$