To solve for x, undo the operations affecting x. Subtract 7 from both sides to remove the constant term: 2x = 12. Then divide both sides by 2 to isolate x: x = 6. You can check by substitution: 2(6) + 7 = 12 + 7 = 19, which matches the right side. Values like 2, 11, or -6 don’t satisfy the equation, so they aren’t solutions.

When you multiply decimals, multiply as if they are whole numbers and then place the decimal point according to the total number of decimal digits involved. Here, 6.4 has one decimal place and 3.5 has one decimal place, so the product will have two decimal places. Convert to integers: 64 × 35 = 2240. Since there are two decimal places in total, place the decimal point two places from the right: 2240 ‑ 22.40, which is 22.4. A quick check helps confirm: 6.4 × 3.5 ≈ (6 × 3.5) + (0.4 × 3.5) = 21 + 1.4 = 22.4. The product is 22.4.

Think about what environmental factors directly shape how a chemical agent disperses in the air. The movement of the plume is chiefly driven by wind, which carries it along its path. Humidity can influence particle behavior and how the plume interacts with surfaces, potentially altering deposition. Rain directly washes contaminants out of the air, reducing dispersion distance. Temperature does influence atmospheric stability and buoyancy, which can affect mixing, but in many standard discussions of dispersion factors, it isn’t listed as a primary, direct factor. It’s more about indirect effects through how the air mixes rather than the immediate transport and removal processes. That’s why temperature is the one not typically listed among the main dispersion factors in this context.

The main idea is who guides a witness on what to say and how to present it in court. The person to consult is the Commonwealth attorney because they are the one presenting the case for the state and need the testimony to fit the theory of the prosecution. They know which facts are important, how prior statements were made, and how the testimony should be framed during direct examination and anticipated cross-examination. The judge oversees the courtroom but does not coach witnesses. The defense attorney would be guiding witnesses for the defense, not for the prosecution, so they wouldn’t be the one to prepare a witness for testifying on behalf of the Commonwealth. A detention officer isn’t involved in preparing testimony.