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I’m putting together a concise collection of geometry multiple-choice questions aimed squarely at 8th-grade students. I need between 10 and 20 well-crafted items that reflect the depth and style found in typical junior-high textbooks and state assessments. Please make sure each question: • Targets an 8th-grade geometry concept (angles, triangles, similarity, Pythagorean theorem, basic volume, etc.). • Presents four answer options, clearly marking the correct one. • Includes a brief, one-sentence rationale or worked solution that I can share with students after they respond. Deliverables 1. A single editable document (Google Doc or Word) containing 10-20 MCQs. 2. A separate answer key or section at the end of the file with explanations. Clarity, age-appropr...

I have a collection of LaTeX source files that cover Calculus and Algebra, Physics and Chemistry, as well as Biology and Statistics. The technical content is already written; what I need now is clear, concise explanatory comments inserted directly into the .tex code so another instructor—or an advanced student peeking under the hood—can immediately understand the reasoning behind each formula, derivation, and data set. Because I use a mixed tool-chain, you’re free to stick with the core LaTeX environment or bring in TikZ, PGF, AMS-LaTeX, or any other package you feel suits the job; I have no fixed preference as long as the final documents still compile cleanly with pdfLaTeX. Scope of work • Open each provided .tex file and weave in thoughtful, well-formatted comm...

I need assistance with 6 physics problems focused on energy for a high school assignment. The problems should cover the following topics: - Kinetic Energy - Potential Energy The assignment should be delivered in a written document format. Ideal candidates should have a strong understanding of high school physics, particularly in energy concepts, and the ability to clearly and accurately solve and present physics problems.

Need PHD guidance for student of VLSi on Optimization of Hetro junction Tunnel field effect Transistor for nano VLSI applications. From identifying Research Gap to final results. Work to be carried out in Silvaco Tcad

The goal is to formulate a shelf-stable liquid that behaves like cow's/Buffalo's milk when run through standard milk-testing analyzers, yet contains no perishable dairy components. The solution must be tunable so that I can call for any value within these working windows: • Fat: 2.5 % – 12 % • SNF: 6.5 % – 10 % • Protein: 3 % – 6 % Accuracy should match typical calibration-grade samples (±0.05 % for fat, ±0.1 % for SNF and protein) and hold that performance for at least six months at room temperature. Key considerations The mimic has to flow, foam and disperse pigments just as fresh milk does, without clogging or coating optical or ultrasonic sensors. Viscosity, density and dielectric properties therefore need to si...