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Home Question Bank Math Archive 2024 December 07

Math Questions from Dec 07,2024

Browse the Math Q&A Archive for Dec 07,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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application/ maximizing profits A manufacturer models its revenue and cost as a function of products produced/sold as follows: \( R(x)=9.0 x-0.0012 \times 2 \) for \( 0 \leq x \leq 5500 ; C(x)=3.4 x-0.00015 \times 2 \) for \( 0 \leq x \leq 5500 \). a) Calculate the number of products that should be produced to maximize profits. b) What would the profit be at that point. Solve the following quadratic equation for all values of \( x \) in simplest form. \[ 25(1-4 x)^{2}-28=-12 \] Solve the following quadratic equation for all values of \( x \) in simplest form. \[ 25(1-2 x)^{2}-48=1 \] Solve the quadratic equation. \( 2 n^{2}-8 n-4=0 \) La diagonale di un parallelepipedo rettango- lo e la diagonale di base misurano rispettiva- mente \( 32,5 \mathrm{~cm} \) e \( 12,5 \mathrm{~cm} \). Calcola la misura dell'altezza. 2.5 Coin Flips: If you flip a fair coin 10 times, what is the probability of each of the following (please round all answers to 4 decimal places) a) getting all tails? b) getting all heads? c) getting at least one tails? Solve the following quadratic equation for all values of \( x \) in simplest form. \[ 9\left(x^{2}-6\right)+17=12 \] A circle has a diameter of 10 m. Calculate the radius. Solve the quadratic equation by using any method. Write imaginary solutions in the form \( a \pm b i \). Express answers in simplified form using integers, fractions, or radicals. \[ y^{2}+23=8 y \] El perímetro de un rectángulo es de 28 cm . Si uno de sus lados tiene 4 cm mas que el otro ¿Cuál s el área del rectángulo? 0) Calcula la cantidad de colesterol en mg recomendada por persona y día sabiendo que la suma
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