answer:The Cloud Harvesters of Caelum have developed a unique set of tools and techniques that allow them to harvest the water droplets and food from the clouds without getting wet and without dispersing the clouds. One of the key tools used by the Cloud Harvesters is a specialized, cloud-attuned fabric that is woven from the fibers of a rare, cloud-dwelling plant. This fabric, known as cloudcloth, is incredibly fine and lightweight, yet remarkably strong and water-repellent. The Cloud Harvesters wear garments made from this fabric, which allows them to move through the clouds without getting wet. The Cloud Harvesters also use a specialized tool known as a cloudcomb to harvest the water droplets from the clouds. The cloudcomb is a delicate, lattice-like structure that is made from a combination of cloudcloth and a specialized, cloud-attuned metal. The cloudcomb is designed to attract and condense the water droplets from the clouds, allowing the Cloud Harvesters to collect them in a series of small, intricately carved containers. To harvest the food from the clouds, the Cloud Harvesters use a technique known as cloud-grazing. This involves using a specialized, cloud-attuned mesh that is woven from the fibers of the same cloud-dwelling plant used to make cloudcloth. The mesh is designed to capture the small, cloud-borne organisms that drift through the clouds, such as cloud-dwelling insects and microorganisms. The Cloud Harvesters use the mesh to gently sweep through the clouds, collecting the organisms in a series of small, aerated containers. The Cloud Harvesters are also skilled in the art of cloud-resonance, which allows them to tune their movements and actions to the natural resonant frequency of the clouds. This allows them to move through the clouds without disrupting their natural patterns and rhythms, and to harvest the water droplets and food without causing the clouds to disperse. In addition to these tools and techniques, the Cloud Harvesters also rely on their deep understanding of the clouds and their behavior. They are skilled observers of the clouds, able to read the subtlest changes in their patterns and rhythms. This allows them to anticipate and prepare for changes in the clouds, and to adjust their harvesting techniques accordingly. Overall, the combination of specialized tools, techniques, and knowledge allows the Cloud Harvesters to harvest the water droplets and food from the clouds in a way that is both efficient and sustainable.

answer:Let's call the positive number we are looking for ( x ). According to the problem, when this number is increased by 17, it is equal to 60 times the reciprocal of the number. This can be written as an equation: [ x + 17 = 60 cdot frac{1}{x} ] To solve for ( x ), we need to get rid of the fraction by multiplying both sides of the equation by ( x ): [ x(x + 17) = 60 ] Expanding the left side of the equation, we get: [ x^2 + 17x = 60 ] Now, we have a quadratic equation. To solve for ( x ), we need to set the equation to zero: [ x^2 + 17x - 60 = 0 ] This is a quadratic equation in standard form. We can solve for ( x ) by factoring, completing the square, or using the quadratic formula. Let's try to factor it first: We are looking for two numbers that multiply to -60 and add up to 17. These numbers are 20 and -3. So we can write the equation as: [ (x + 20)(x - 3) = 0 ] Setting each factor equal to zero gives us two possible solutions for ( x ): [ x + 20 = 0 quad text{or} quad x - 3 = 0 ] [ x = -20 quad text{or} quad x = 3 ] Since we are looking for a positive number, we discard the negative solution. Therefore, the positive number we are looking for is ( x = boxed{3} ).

answer:To make this character more compelling, let's delve into her backstory and motivations. What drives her passion for photography? Perhaps she grew up in a low-income household, where her parents worked multiple jobs just to make ends meet, and photography became her escape – a way to capture the beauty in the world around her that she couldn't afford to experience firsthand. This upbringing could have instilled in her a sense of resilience and determination that serves her well as she navigates the cutthroat world of photography in 1980s New York. You could also explore her emotional connections to the city itself. Maybe she's a newcomer to the city, having just moved from a small town in the Midwest, and everything about New York – the noise, the energy, the diversity – is both overwhelming and exhilarating to her. This fish-out-of-water scenario could create opportunities for interesting conflicts and character growth as she learns to navigate the city's complexities. Additionally, consider what sets her apart from other aspiring photographers. Does she have a unique style or vision that she's struggling to get recognized? Maybe she's fascinated by the city's underbelly – the punk rock scene, the graffiti artists, the marginalized communities – and her photographs reflect this gritty, unvarnished perspective. This could put her at odds with the more established photography community, who may view her work as too raw or unpolished. By fleshing out her backstory, motivations, and artistic vision, you can create a more nuanced, relatable character that readers can root for as she chases her dreams in the city that never sleeps.

answer:As a young, unconnected photographer in 1980s New York City, she'll likely face a multitude of challenges that will test her resolve, creativity, and perseverance. One of her biggest hurdles could be the lack of access to resources and networking opportunities. Perhaps she can't afford to attend exclusive gallery openings or join prestigious photography clubs, making it difficult for her to connect with influential curators, collectors, and other artists who could help launch her career. The male-dominated photography world of the 1980s could also pose significant obstacles for her. Sexism, misogyny, and skepticism about her abilities might be rampant, forcing her to work twice as hard to prove herself. She may encounter editors, curators, or potential clients who dismiss her work or try to take advantage of her, simply because she's a young woman. Additionally, the city itself could pose logistical challenges. The high cost of living, the scarcity of affordable studio space, and the ever-present threat of crime and violence could all impact her ability to focus on her craft. Her equipment might be stolen or damaged, or she might be hassled by police or other authorities while shooting in certain neighborhoods. The art world's emphasis on commercial viability could also create internal conflicts for her. As she struggles to make a name for herself, she may be tempted to compromise her artistic vision in order to produce more marketable work. This could lead to feelings of sellout or inauthenticity, causing her to question her very passion for photography. Finally, her personal relationships might suffer as she dedicates herself to her craft. Friends and family might not understand her drive or the sacrifices she's making, leading to feelings of isolation and loneliness. Romantic relationships could be difficult to sustain, as her focus on her art leaves little time or energy for anything else. By pitting her against these external and internal challenges, you can create a rich, nuanced narrative that explores the highs and lows of pursuing one's passion in a competitive, often unforgiving environment.