Which words fits better in the sentence? _________ tres desastres ayer en esta región. (sube) (ocurrieron)

Many cities and towns develop near sources of water. Write a paragraph describing the sources of water used by your community.

An architect is designing a very large square mall. Estimate the total area of the mall, if each side length is approximately 4890 feet.

Find the slope of the tangent line to the graph of f at the given point. Graph f and the tangent line. $f(x)=x^{2}-2 x+3$ at (-1, 6)

A long strip of metal 120 cm wide is bent to form the base and two sides of a chute with a rectangular cross-section. Find the width of the base that makes the area of the cross-section a maximum.

Which of the following geographic factors helped both Spain and Portugal to establish global trade networks with the Americas? A. The Pyrenees separate Spain and Portugal from the rest of Europe. B. Spain and Portugal are located on a peninsula jutting into the Atlantic Ocean. C. Muslims ruled over much of the Iberian Peninsula. D. The cultures of Spain and Portugal are closely related because they were both part of the ancient Roman Empire.

Find the exact value of each expression. Do not use a calculator. $\cos 35^{\circ} \sin 55^{\circ}+\sin 35^{\circ} \cos 55^{\circ}$

Beth runs 150 meters at $43^{\circ}$ north of west. Which is larger, her northward displacement or her westward displacement, and by how much? Round your answer to the nearest tenth.

Write "theoretical " or "experimental " to describe the probabilities for each of the following situations. a. The chance of getting tails when flipping a coin is

$$\frac { 1 } { 2 }.$$

b. I flipped a coin eight times and got heads six times, so the probability is

$$\frac { 6 } { 8 }.$$

c. My mom packed my lunch three of the past five days, so the probability that my mom will pack my lunch is

$$\frac { 3 } { 5 }.$$

d. The chance of winning the state lottery is 1 in 98,000,000. e. Based on mathematical models, the chance of rain today is 60%. f. Lena got three hits in her last seven times at bat, so her chance of getting a hit is

$$\frac { 3 } { 7 }.$$

Choose one of the biomes: tropical rain forest, tropical wet/dry, semi-arid (steppe), arid (desert), humid subtropical, marine west coast, Mediterranean, humid continental, subarctic, tundra, and ice cap. Use what you have learned about the biome to create a poster illustrating the plants and animals in the biome. Conduct additional research to include statistics on average rainfall and amount of direct sunlight. Posters should also illustrate the interactions of human systems within this biome. Posters should be highly visual and can include photos of typical vegetation, graphs/charts, and maps.

Let f(x)=

$$x^2$$

-1 and g(x)=1-2x. Find the indicated values.

$$\frac { g ( x + h ) - g ( x ) } { h }$$

Find the eigenvalues and corresponding eigenvectors of A, and then use them to find the eigenvalues and corresponding eigenvectors of the stated power of A.

$$A=\left[\begin{array}{rrr}{-1} & {-2} & {-2} \\ {1} & {2} & {1} \\ {-1} & {-1} & {0}\end{array}\right] ; A^{25}$$

.

Show that the general solution of the Volterra integral equation $y(t)=g(t)+\int_{0}^{t} k\left(t-w\right) y\left(w\right) d w$ is given by $y(t)=\mathcal{L}^{-1}\left\{\frac{G(s)}{1-K(s)}\right\}$, where $G(s)$ and $K(s)$ are the Laplace transforms of $g(t)$ and $k(t)$, respectively.

a. Write a brief definition of the terms popular vote, elector, electoral college, and electoral votes. b. How does the electoral college elect the president?