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Math Questions from Jan 20,2025

Browse the Math Q&A Archive for Jan 20,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Combine like terms: \( 3 a-14 b+8 c-15 a+6 b-12 c+4 d-12 \) If \( 5 \cos x+3=0 \) and \( 180<x<300 \), find tho valuo of \( 3 \tan x+ \) \( 25 \sin ^{2} x \) Разделите следующий многочлен: \( \frac{6x^{4} + 9x^{3}}{3x} \) Cakculate the following without using a calculato \( 25^{\frac{1}{2}} \) Q 5. Which linear function defines the arithmetic sequence \( a_{n}=\{-5,-3,-1,1,3, \ldots\} \) ? \( a_{n}=5+2(n-1) \) \( a_{n}=5-2(n-1) \) \( a_{n}=-5+2(n-1) \) \( a_{n}=-5-2(n-1) \) arco con una \( x \) los polinomios de grado 2 \( Q(x)=a^{4} b^{4} x^{2}-\left(a^{3}+b^{3}\right) x+a^{2} b^{2} \) \( \square S(x)=a(x-1)^{2}-b^{2}(x+1)(x-1)-5 \quad \square M(b)=a(x-1)^{2}-b^{2}(x+1)(x-1)=a^{4} b^{4} x^{2}-\left(a^{3}+b^{3}\right) x+a^{2} b 0^{2} \) \( \square O(a)=a(x-1)^{2}-b^{2}(x+1)(x-1)-5 \) 4. The fifth term of an arithmetic sequence is -17 , and the eleventh term is -47 . What is the common difference? \( d=-5 \) \( d=8 \) \( d=-6 \) \( d=-30 \) 1 Simplify the following ratio: \( 32: 48 \). Write the following as a unit ratio: \( 18: 64 \). It takes 6 workers 8 hours to tile a hall. How long will it take 4 workers to complete the same job? Divide R240 in the ratio \( 2: 3: 7 \). W . The arithmetic sequence \( a_{n}=\{8,14,20,26, \ldots\} \) models the number of students who errolled in baseball camp each day Which of the following is the explicit ar thrnetic formula inat models this \( a_{n}=6-8(n-1) \) \( a_{n}=6+8(n-1) \) \( a_{n}=8-6(n-1) \) \( a_{n}=8+6(n-1) \) Your dedication is blazing! Evaluate the following expression. \( \frac{136}{-10-7} \)
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