The pH of a chemical solution is given by the formula $\mathrm{pH}=-\log _{10}\left[\mathrm{H}^{+}\right]$ where $[\mathrm{H}^{+}]$ is the concentration of hydrogen ions in moles per liter. Values of pH range from 0 (acidic) to 14 (alkaline). What is the pH of a solution for which $\left[\mathrm{H}^{+}\right]$ is 0.001?

Find the real solutions of each equation by factoring. $x^{4}-x^{2}=0$

On a separate sheet of paper, explain the following term by using it correctly in a sentence. confederation

If f is a one-to-one function and $f(3)=8,$ then $f^{-1}(8)=$ _____.

Gulig and Doherty, a law firm, started 2012 with accounts receivable of $26,000 and an allowance for uncollectible accounts of$2,000. The 2012 service revenues on account totaled $183,000, and cash collections on account totaled$133,000. During 2012, Gulig and Doherty wrote off uncollectible accounts receivable of $2,500. At December 31, 2012, the aging of accounts receivable indicated that Gulig and Doherty will not collect$1,790 of its accounts receivable. Journalize Gulig and Doherty’s (a) service revenue, (b) cash collections on account, (c) write-offs of uncollectible receivables, and (d) uncollectible-account expense for the year. Explanations are not required. Prepare a T-account for Allowance for Uncollectible Accounts to show your computation of uncollectible-account expense for the year.

Do you think First Amendment rights should ever be restricted? In what kinds of situations should this occur?

Evaluate $\int_{0}^{\pi} f(x) d x$ where

$$f(x)=\left\{\begin{array}{ll}{\cos x} & {\text { if } 0 \leq x<\frac{\pi}{2}} \\ {x} & {\text { if } \frac{\pi}{2} \leq x \leq \pi}\end{array}\right.$$

Verify the particular solution of the differential equation. Solution: y = sin x cos x - cos² x Differential Equation and Initial Condition: 2y + y’ = 2 sin(2x) - 1 y(π/4) = 0

Identify and list the functions of blood.

What is the nucleus of an atom composed of? Define each component

Each equation below is linear. Write each equation in standard form and give the values of A, B, and C. 9=y

List one major criticism of the presidency.

Identify the coordinates of the vertex and focus, and the equation of the directrix of each parabola. y=8(x-2)^2

Answer the following questions in complete sentences.