To convert the scale from 1:100 to 1:75, you would need to multiply the original scale by the ratio of the new scale to the original scale. In this case, you would multiply 1:100 by 1:75/1:100, which simplifies to 1:0.75. Therefore, the new scale would be 1:75. **

The function f(x) for which f(1) = √52 > 0 holds are those functions that have a positive value at x=1. This means that the function must have a positive value at x=1 in order for the inequality to hold. For example, f(x) = √(x^2 - 51) is a function that satisfies this condition, as f(1) = √(1^2 - 51) = √(-50) = √52 > 0. Therefore, any function that has a positive value at x=1 will satisfy the condition f(1) = √52 > 0. **

No, it is not true that 10, 75, and 1 are all correct. These numbers are independent of context, so it is impossible to determine whether they are correct without additional information. Each number could be correct in certain situations and incorrect in others. Therefore, it is important to provide more context in order to determine the correctness of these numbers. **

Series 87 is a professional licensing exam for individuals who want to become Research Analysts. It is administered by the Financial Industry Regulatory Authority (FINRA) and covers topics such as financial analysis, valuation, and industry regulations. Passing the Series 87 exam is a requirement for individuals who wish to work as Research Analysts in the securities industry. Candidates can prepare for the exam by studying relevant materials and taking practice tests. **

Quaternium-87 is a quaternary ammonium compound that is commonly used in personal care products such as shampoos, conditioners, and hair styling products. It acts as a conditioning agent, helping to improve the texture and manageability of the hair. Quaternium-87 also has antistatic properties, helping to reduce frizz and flyaways. It is known for its ability to provide long-lasting conditioning effects, making it a popular ingredient in hair care formulations. **

Family 87 is a group of chemicals known as per- and polyfluoroalkyl substances (PFAS), which are widely used in consumer products and industrial applications. These chemicals have been linked to various health concerns, including cancer, immune system dysfunction, and reproductive issues. Family 87 includes compounds such as perfluorooctanoic acid (PFOA) and perfluorooctane sulfonate (PFOS), which have been the subject of regulatory scrutiny and environmental remediation efforts due to their persistence and potential harm to human health and the environment. Efforts to regulate and phase out the use of PFAS chemicals, including those in Family 87, are ongoing to mitigate their impact on public health and the environment. **

Streit 87 is a historic building located in the Lower East Side of Manhattan, New York City. It was originally built as a matzo factory in 1925 by the Streit family, who were Jewish immigrants from Austria. The building is known for its distinctive red brick facade and its significance as a symbol of the Jewish heritage and history in the neighborhood. In 2015, the Streit's matzo factory closed and the building was sold, but it remains an important cultural and historical landmark in the area. **

87 is a positive integer. It is also an odd number and a prime number. In terms of its place value, 87 is in the tens and ones place, with 8 representing the tens and 7 representing the ones. **