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Home Question Bank Math Archive 2024 December 05

Math Questions from Dec 05,2024

Browse the Math Q&A Archive for Dec 05,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Tranformar las ecuciciones cartesianas a Polares o viceversa. \( V=\frac{1}{(1-2 \operatorname{sen} \theta)} \) One of Sam's best customers spends about \( \$ 250.00 \) each month in Sam's shop. She says that is roughly 5\% of her monthly income. How much does she make each month? ¿De qué manera se emplea el método del disco para hallar el volumen de un cono? Write the binomial expansion of the expression. \( (4 x-2)^{5} \) 4) The equation for line \( u \) can be written as \( y=-2 x+10 \). Une \( v \), which is parallel to line \( u \), ndudes the point \( (-1,2) \). What is the equation of ine \( v \) ? Find the indicated term of the geometric sequence. \( a_{1}=6, r=4, n=6 \) Prove: \( \triangle A B D \cong \triangle C B D \) Each box is also about 1.5 feet long, and the shed is 7 feet long, so about \( 7 \mathrm{ft} / 1.5 \mathrm{ft}=4.7 \) rows would fit, meaning 4 rows. Each row has 4 boxes. Thus, how many boxes will fit on the shed's floor? boxes A ship is sailing due north. At a certain point, the bearing of a lighthouse 7.6 km away is \( \mathrm{N} 39.1^{\circ} \mathrm{E} \). Later on, the captain notices that the bearing of the lighthouse has become \( \mathrm{S} 31.9^{\circ} \mathrm{E} \). How far did the ship travel between the two observations of the lighthouse? The ship travelled \( \square \mathrm{km} \) between the two observations. (Do not round until the final answer. Then round to the nearest tenth as needed.) Q3. a. Find the value of the sum \( \sum_{k=1}^{5}(k-2)(k-3) \)
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