Calculate the left Riemann sums for the given functions over the given interval, using the given values of n. (When rounding, round answers to four decimal places.) f(x)=1-3x over [−1, 1], n=4

Give a combinatorial argument that $n^2=2{{n}\choose{2}}+n$ . Hint: Arrange dots in an n by n square array, and count the dots in two ways.

Determine whether each redox reaction is spontaneous or nonspontaneous. a. $\mathrm{Mn}^{2+}(\mathrm{aq})+2 \mathrm{Br}^{-}(\mathrm{aq}) \rightarrow \mathrm{Br}_{2}(l)+\mathrm{Mn}(\mathrm{s})$ b. $2 \mathrm{Fe}^{2+}(\mathrm{aq})+\mathrm{Sn}^{2-}(\mathrm{aq}) \rightarrow 2 \mathrm{Fe}^{3+}(\mathrm{aq})+\mathrm{Sn}(\mathrm{s})$ c. $\mathrm{Ni}^{2+}(\mathrm{aq})+\mathrm{Mg}(\mathrm{s})-\mathrm{Mg}^{2+}(\mathrm{aq})+\mathrm{Ni}(\mathrm{s})$ d. $\mathrm{Pb}^{2-}(\mathrm{aq})+2 \mathrm{Cu}^{-}(\mathrm{aq}) \rightarrow \mathrm{Pb}(\mathrm{s})+2 \mathrm{Cu}^{2-}(\mathrm{aq})$

Divide this poem into sentences that express complete thoughts. Where does each sentence begin and end?

Mira la siguiente lista de quehaceres y escribe oraciones para indicar qué tuvieron que hacer las personas indicadas durante su excursión al aire libre: Alicia. yo: pagar al guía, organizar el equipaje Esteban: conseguir tres sacos de dormir, ir al río por agua Alicia: organizar el equipaje, llevar a todos en su auto Ricardo: hacer la reservación, ir al río por agua todos: montar las dos tiendas de campaña

Simplify: 1.1{1.1[1.1(1000)]}

Solve the following system of linear equation by finding the LU decomposition and the permutation matrix of the coefficients matrix.

$$2x_2-x_3=2$$

$$2x_1+6x_2=-2$$

$$x_1+3x_2-x_3=-1$$

Solve the equation. Check your solution.

$$\frac{f}{3} - 9.2 = 3.5$$

Carta Jose Andres. Escribele una carta al cocinero Jose Andres. Puedes preguntarle acerca de los aceites, las especies y las hierbas que tiene en su casa, sobre el mercado en el que compra los ingredientes, sobre la receta de huevos con el chorizo y con patatas o sobre cualquier otra receta espanola que te interese.

Write an equation of each line in standard form. the line parallel to y = -3x + 4 through (0, -1)

If possible, use the Law of Syllogism to make a conclusion. If It is not possible to make a conclusion, tell why. If an animal is a Florida panther, then its scientific name is Puma concolor coryi. If an animal is a Puma concolor coryi. then it is endangered.

Use a significance level of $\alpha=0.05$. Using data collected from the FBI and the Bureau of Alcohol, Tobacco, and Firearms, the number of registered automatic weapons and the murder rate (in murders per 100,000 people) were obtained for each of eight randomly selected states. STATDISK was used to find that the value of the linear correlation coefficient is r=0.885. Is there a linear correlation between the number of registered automatic weapons and the murder rate? Explain.

Choose the best antonym for the word in capital letters. CLAMORING a. creating b. whispering c. opening d. studying

Use Venn diagrams to illustrate the following identities for subsets A, B, and C of S. $A \cap(B \cup C)=(A \cap B) \cup(A \cap C)$ Distributive Law