For the term or name below, write a sentence explaining its connection to East Asia between 600 and 1350. Koryo Dynasty

Simplify the following fractions: a) $\frac{1}{7}+\frac{3}{7}$ b) $\frac{a}{7}+\frac{b}{7}$ c) $\frac{5}{13}+\frac{6}{13}$ d) $\frac{c}{13}+\frac{d}{13}$ e) $\frac{x}{3}+\frac{y}{3}+\frac{z}{3}$ f) $\frac{p^{2}}{5}+\frac{q^{2}}{5}$

A ball is placed inside a box into which it will fit tightly. If the radius of the ball is 10 cm, calculate: a) the volume of the ball, b) the volume of the box, c) the percentage volume of the box not occupied by the ball.

A manufacturer of precision digital switches has daily revenue R (in dollars) of $R(x)=5 x-\frac{x^{2}}{2000}$, where x is the number of switches produced daily. What is the rate of change of revenue with respect to x? What are the units of $R^{\prime}(x)$?

Draw a graph of $y=4^{x}$ for values of x between -1 and 3. Use your graph to find approximate solutions to the following equations: a) $4^{x}=30$ b) $4^{x}=\frac{1}{2}$

A plane leaves London for Boston, a distance of 5200 km, at 0945. The plane travels at an average speed of 800 km/h. If Boston time is five hours behind British time, what is the time in Boston when the aircraft lands?

Complete the sentence in a way that shows you understand the meaning of the italicized vocabulary word. The soccer player $\mathit{kneaded}$ her calf muscle because..

For a mixture of $O_2$ and O the pressure is increased at constant T; what happens to the composition?

A balloon carrying a transmitter ascends vertically from a point 2000 feet from the receiving station. Let d be the distance between the balloon and the receiving station. Write the height h of the balloon as a function of d. What is the domain of this function?

Choose the best answer. What percentage of the world's population lives in developing countries? (a) 34 percent (b) 50 percent (c) 66 percent (d) 83 percent

Simplify the expression. $16^{1 / 2}$

Determine whether the equation $x^{2}+y=3$ represents y as a function of x.

Solve the logarithmic equation algebraically. Approximate the result to three decimal places. $\log _{10} x+\log _{10}(x+1)=\log _{10}(x+3)$

Choose the best answer. Which biome has the highest soil nutrient levels? (a) tropical rainforest (b) boreal forest (c) woodland/shrubland (d) temperate seasonal forest