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Home Question Bank Math Archive 2024 November 27

Math Questions from Nov 27,2024

Browse the Math Q&A Archive for Nov 27,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Find the circumference of a circle with a diameter of 16 cm . Use 3.14 for \( \pi \) and include the correct units in your answer. Convert the following. Round to the nearest tenth. 9 lbs \( 4 \mathrm{oz}=\ldots \) b. (Desafío). El inspector de obras públicas solicita que la alberca esté rodeada por un pasillo de ancho uniforme, que tenga un área mínima de 14 metros cuadrados. ¿De qué ancho debe ser el pasillo? Un terreno rectangular que mide 20 metros por 30 metros está rodeado por una ban- queta de ancho uniforme. Si el area de la banqueta es 60 metros cuadrados, zcual es su ancho? Haz una división larga de polinomios: \( 3x^{2} - 12x + 9 \) entre \( x - 3 \) Camila empieza a jugar un video juego que tiene 840 niveles. La primera semana, supera \( 1 / 6 \) parte de los niveles; la segunda semana, \( 1 / 4 \) de lo que le hace falta y la tercera, \( 4 / 5 \) de los niveles que le hacian falta por superar. Si en la cuarta semana Camila pretende terminar el juego, Lcuántos niveles debe superar? ¿Qué representa el concepto de límite en cálculo 10). \( f(x)=\frac{\left(6 x^{3}-5 x\right)}{7 x-3} \) Find the moment of inertia with respect to the \( y \)-axis for a flat plate covering the region bound \( y=\frac{1}{1+x^{6}} \), the \( x \)-axis, \( x=2 \), and \( x=3 \) The moment of inertia is approximately (Round to two decimal places as needed.) Find \( s(t) \), where \( s(t) \) represents the position function, \( v(t) \) represents the velocity function, and \( a(t) \) represents the acceleration function. \[ a(t)=-30 t+2 \text {, with } v(0)=4 \text { and } s(0)=1 \]
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