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Given   and , find .

Use the remainder theorem and synthetic division to find f(k).k = 2; f(x) = -x3 – 2×2 + 4

Solve the equation.  log (x – 5) 10 = 1 [BLANK-1]

Solve the equation by the square root property.(7x + 5)2 = 14

Solve the problem.The graph of f(x) = x3 + 4×2 – x – 4 is shown below. Use the graph to factor f(x).

Find the sum or difference. Write the answer in standard form.(-1 + 9i) – (6 + 5i) – (-3 + 7i)

Open the PDF of “A Letter on Happiness” by Sir Richard Branson Read the text and write a rhetorical analysis, discussing the methods he uses to express his ideas and connect with his audience. You should comment on the ways he appeals to his audience through relatability and how they develop his message. Write your analysis of 550-600 words directly in the text box below. Don’t worry about indenting your paragraphs, just skip an extra line of text since this platform doesn’t support the tab function the same way as a word processing platform.

Based on Le Chatelier’s principle, what is the effect of adding C2H5OH(g) to a container in which the following reaction has reached equilibrium?   CH3COOH(g) + C2H5OH(g) \(\leftrightarrow\)  CH3COOC2H5(g) + H2O(l) 

In the following reaction:  H2CO3 + H2O \(\leftrightarrow\) HCO3- + H3O+

If a solution has a pH of 4.5, it would have an [OH-] concentration of ____________.