answer:Answer: by 1462.5%.Solution. According to the condition frac{B K}{Sh}=frac{Pi}{Pi}=frac{Pi}{K}=frac{K}{B}=alpha. In this case, the cost of the diamond necklace (B K) is related to the cost of the coat (P) by the ratio B K=Pi cdot alpha^{2}. Then alpha=sqrt{6.25}=sqrt{frac{25}{4}}=frac{5}{2}. The relationship between the cost of the fur coat (Sh) and the trousers (B) is determined by the ratio Sh=B cdot alpha^{3}=B cdot frac{125}{8}. From this, frac{Sh}{B}=frac{125}{8}, and the desired value is determined as left(frac{125}{8}-1right) cdot 100=1462.5.Answer to variant 172: by 78.4%.Answer to variant 173: by 93.6%.Answer to variant 174: by 309.6%.

answer:To find the distance from point A(-6,8) to the origin (0,0) in the Cartesian coordinate system, we use the distance formula, which is derived from the Pythagorean theorem. The distance d is given by:[d = sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}]In this case, (x_1, y_1) = (-6, 8) and (x_2, y_2) = (0, 0). Substituting these values into the formula gives:[d = sqrt{(-6 - 0)^2 + (8 - 0)^2} = sqrt{(-6)^2 + 8^2} = sqrt{36 + 64} = sqrt{100} = 10]Therefore, the distance from point A(-6,8) to the origin is boxed{10}.

answer:18. Out of the total number of cars, 6 did not have the first feature (not "Zhiguli"), 5 did not have the second, 3 did not have the third, and 2 did not have the fourth. Therefore, the maximum number of cars that do not have at least one feature is 16 (6+5+3+2=16). The remaining 4(20-16=4) have all four features.

answer:Since z=(-8+i)i=-8i+i^{2}=-1-8i, the coordinates of the corresponding point are (-1,-8), which is located in the third quadrant, therefore, the correct answer is boxed{C}. By simplifying the complex number through basic arithmetic operations and then understanding its geometric meaning, we can reach the conclusion. This question mainly tests the geometric meaning of complex numbers. Simplifying the complex number through its operations is key to solving this question and is quite fundamental.

answer:Solution: (1) Given a_1=2, a_5=6, we can get 2+4d=6, solving this gives d=1, thus a_n=2+n-1=n+1; (2) We have b_n=2^{a_n}=2^{n+1}, which means the sequence {b_n} is a geometric sequence with the first term 4 and common ratio 2, the sum of the first n terms of the sequence {b_n}, S_n= dfrac{4(1-2^n)}{1-2} =2^{n+2}-4. Therefore, the common difference d and the general term a_n are boxed{d=1, a_n=n+1}, and the sum of the first n terms of the sequence {b_n}, S_n is boxed{2^{n+2}-4}.

answer:To solve this problem, we need to understand how the price of the chip changes with each reduction. The original price of the chip is a yuan. After the first reduction of 10%, the new price becomes a(1-10%). This is because a 10% reduction means the price retains 90% (or 1-10%) of its original value.Next, this new price is reduced by 20%. To find the new price after this second reduction, we apply the 20% reduction to the result of the first reduction. This means we multiply the price after the first reduction by (1-20%).Putting it all together, the final price b after both reductions is calculated as follows:[b = a(1-10%)(1-20%)]This matches option B: b=aleft(1-10%right)left(1-20%right).Therefore, the correct answer is boxed{B}.