answer:No, the right answer to the question vibrating matter can cause music through what? is not absence. This is due to the fact that music is created by the vibrations of matter, but these vibrations need to be conveyed through a medium, and this medium is typically the air. Vibrations themselves are a form of energy, so it could be said that vibrating matter can cause music through energy, but this is really just restating the same concept in different words. The vibrating matter's energy causes the air molecules to vibrate and these vibrations move as waves through the air until they reach our ears. Once in our ears, these vibrations are converted back into electrical signals that our brains interpret as sound or music. Therefore, a more accurate answer to the question would be Vibrating matter can cause music through the medium of air (or any other material medium), by transmitting the energy of the vibrations as sound waves. Absence is not a correct answer because without a medium to transfer the energy of the vibrations, we will not hear the resulting sound or music.

answer:Since f(-x) = 4 - f(x), by adding f(x) to both sides, we have: f(-x) + f(x) = 4. Therefore, the graph of f(x) is symmetric about the point (0, 2). Considering the function y=frac{2x+1}{x}, dividing the numerator by x gives: y = 2 + frac{1}{x}, Indicating that this function is also symmetric about the point (0, 2). Since both graphs are symmetric about the point (0, 2), each pair of symmetric intersection points will have x-coordinates that sum to zero and y-coordinates that sum to twice the y-value of the symmetry point (in this case, 4). Specifically, we have: x_1 + x_2 + x_3 + ldots + x_m = 0, and by symmetry: y_1 + y_2 + y_3 + ldots + y_m = m times 2. Thus, the sum sum_{i=1}^{m} (x_i + y_i) simplifies to: sum_{i=1}^{m} x_i + sum_{i=1}^{m} y_i = 0 + 2m = 2m. Therefore the sum sum_{i=1}^{m} (x_i + y_i) equals: boxed{2m}.

answer:Dante distributed 250 balloons evenly among his 5 friends, so each friend initially had 250/5 = 50 balloons. Dante then asked each friend to give him 11 balloons, so each friend now has 50-11 = 39 balloons. 39 The answer is: 39

answer:Developing characters is an integral part of crafting a compelling novel, and there are several approaches to achieve this. One effective method is to create characters that are multi-dimensional and relatable, with their own distinct voices, motivations, and backstories. To start, consider what drives your character, what they fear, and what they desire. Give them contradictory traits, flaws, and strengths to make them more believable and human. As you develop your characters, think about their history, their relationships, and their emotional landscapes. What significant events have shaped them into the person they are today? How do they interact with others, and what do these interactions reveal about their personality? Consider their dialogue, body language, and mannerisms – all of these elements can convey their character without needing to spell it out. In terms of character development through storytelling, it's essential to show, not tell. Rather than telling the reader about a character's traits, demonstrate them through their actions, decisions, and interactions. Use subtext to hint at their thoughts and feelings, and avoid info dumping or long, expositional passages. One technique to explore is the iceberg principle. This involves revealing only a small portion of the character's personality or backstory at a time, leaving the rest to the reader's imagination. As the story progresses, you can gradually expose more of the character's depths, creating a sense of mystery and intrigue. Another approach is to use character development to drive the plot forward. As your characters grow and change, their actions and decisions should impact the story, leading to new conflicts, revelations, and turning points. This will create a sense of organic progression and make the character's development feel earned and authentic. Ultimately, the key to effective character development is to create characters that feel real, relatable, and engaging. Give them complexity, nuance, and depth, and use the storytelling to reveal their character in a way that feels natural and authentic. By doing so, you'll craft characters that will resonate with your readers and leave a lasting impression.