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Home Question Bank Math Archive 2024 November 15

Math Questions from Nov 15,2024

Browse the Math Q&A Archive for Nov 15,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Question 10 ( 3 points) The centre-to-centre distance of two pulleys is 28.6875 inches. Pulley "A" measures 6.954 inches on the O.D. of the flange and Pulley "B" measures 4.743 inches on the O.D. of the flange. What is the inside-to-inside measurement between the two pulley flanges expressed in feet and inches to the nearest 16 th? 3. The property involves multiplying a single term by two or more terms inside a parenthesis. For example, \( a(b+c)=a b+a c \) 4. Hallar la ecuación general de la elipse \[ \frac{(x-6)^{2}}{9}+\frac{(y+1)^{2}}{16}=1 \] 2. The property means that the order of numbers doe not matier in addition or multiplication. For example, \( a+b=b+a \) A roll of 150 feet of conveyor belt weighs 354.578 pounds when it was new. After using some of the roll, it was re-weighed and is now 178.985 pounds. What length of belt remains on the roll expressed in feet and inches to the nearest 16 th? Pieces of angle iron with lengths of 6 inches must be cut. If 106 pieces are required, what is the total length of material required, in feet, not including the waste from each cut? Question 13 (3 points) \( \begin{array}{l}\text { An inclined conveyor has a head pulley elevation of } 1254 \text { inches from the benchmark } \\ \text { and the tail pulley has an elevation of } 587 \text { inches from the same benchmark. What is } \\ \text { the elevation from the tail pulley to the head pulley expressed in feet and inches? }\end{array} \) 41. \( \left\{\begin{aligned} 2 y-z & =-4 \\ x+z & =3 \\ 2 x+3 y & =-1\end{aligned}\right. \) 40. \( \left\{\begin{aligned} 2 x+4 y+3 z & =6 \\ x+2 z & =-1 \\ x-2 y+z & =-5\end{aligned}\right. \) \( \lim _ { x \rightarrow 1 } \frac { 1 } { x - 1 } \int _ { 1 } ^ { x } \frac { ( e ^ { t } ) ^ { 7 } } { 6 + t } d t \)
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