answer:The standard form of a polynomial requires grouping like terms and arranging them from the highest to the lowest power. Let's combine and simplify the given polynomial. Starting with the like terms in #x^4#, we have #3x^4# and #-x^4#. Adding these together, we get: #3x^4 - x^4 = 2x^4# Next, we have the term #2x^3#, and since there are no other terms with #x^3#, it remains as it is. The constant term is #-5#, which can also be considered as #-5x^0# since #x^0 = 1#. Now, we can write the polynomial in standard form by arranging the terms from highest to lowest power: #2x^4 + 2x^3 - 5x^0# Since #x^0# is understood, we can drop it and simply write: #2x^4 + 2x^3 - 5# So, the given polynomial in standard form is #2x^4 + 2x^3 - 5#.

answer:Target can leverage technological advancements in the following ways to enhance its competitive advantage: * Personalized shopping experiences: Use artificial intelligence (AI) and machine learning (ML) to create personalized recommendations and targeted promotions for customers. * Improved inventory management: Implement real-time inventory tracking systems using radio-frequency identification (RFID) technology to optimize stock levels and reduce out-of-stocks. * Seamless omnichannel experiences: Integrate online and offline channels through mobile apps, click-and-collect services, and in-store kiosks, providing customers with a convenient and unified shopping experience. * Automated fulfillment: Utilize robotics and automation in distribution centers to speed up order processing and reduce labor costs. * Data analytics: Collect and analyze customer data from multiple sources to gain insights into shopping patterns, preferences, and feedback, enabling Target to make data-driven decisions and improve its offerings. By embracing these technological advancements, Target can improve customer satisfaction, increase efficiency, and stay ahead of its competitors.

answer:Given information: * Sample size (n): 150 * Sample mean (x̄): 45 cm * Population standard deviation (σ): 1.5 cm * Confidence level (CL): 0.99 The significance level (α) is: ``` α = 1 - CL = 1 - 0.99 = 0.01 ``` Using the standard normal table, the two-tailed critical value (Z*) for the significance level 0.01 is ±2.576. The 99% confidence interval for the population mean length is: ``` C.I. = x̄ ± Z* * (σ / √n) = 45 ± 2.576 * (1.5 / √150) = 45 ± 0.3166 = (44.6834, 45.3166) ``` Therefore, the 99% confidence interval for the new population mean length of the parts made by this machine is (44.6834, 45.3166).

answer:Given x=(13-12 i) log (2) and y=(-5+2 i) log (2), we can simplify each expression as follows: x=(13-12 i) log (2) =13 log (2) - 12 i log (2) =13 (log 2) - 12 i (log 2) y=(-5+2 i) log (2) =-5 log (2) + 2 i log (2) =-5 (log 2) + 2 i (log 2) Now, we can find the value of frac{x}{y}: frac{x}{y} = frac{13 (log 2) - 12 i (log 2)}{-5 (log 2) + 2 i (log 2)} To simplify this expression, we can multiply both the numerator and denominator by the complex conjugate of the denominator: frac{x}{y} = frac{(13 (log 2) - 12 i (log 2))(-5 (log 2) - 2 i (log 2))}{(-5 (log 2) + 2 i (log 2))(-5 (log 2) - 2 i (log 2))} Expanding and simplifying the numerator and denominator, we get: frac{x}{y} = frac{-65 (log 2)^2 + 26 i (log 2)^2 + 60 (log 2)^2 - 24 i (log 2)^2}{25 (log 2)^2 - 4 (log 2)^2} Combining like terms, we get: frac{x}{y} = frac{-1 (log 2)^2 + 2 i (log 2)^2}{21 (log 2)^2} Factoring out (log 2)^2 from both the numerator and denominator, we get: frac{x}{y} = frac{-1 + 2 i}{21} Finally, we can divide the numerator and denominator by 7 to get: frac{x}{y} = -frac{1}{21} + frac{2}{21} i Therefore, the value of frac{x}{y} is -frac{1}{21} + frac{2}{21} i. The answer is -frac{89}{29}+frac{34 i}{29}