Mathematics, 02.06.2021 18:40 mohammedel04

Un submarino se encuentra 50m por debajo del nivel del mar y comienza a subir 2m cada 5 minutos ¿a que profundidad se encuentra a la hora de haber comenzado el ascenso?¿cuanto tiempo le faltara para llegar a la superficie?

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Answer from: asamuels216

a) El submarino se encuentra a una profundidad de 26 metros una hora después de haber comenzado el ascenso.

b) Al submarino le falta 1 hora y 5 minutos para llegar a la superficie.

Step-by-step explanation:

a) De acuerdo con el enunciado, la cantidad de metros ascendidos por el submarino es directamente proporcional al tiempo, entonces la profundidad del submarino a la hora de haber comenzado el ascenso se obtiene mediante la siguiente relación lineal:

$h = 50\,m - \frac{2\,m}{5\,min}\times 60\,min$

$h = 26\,m$

El submarino se encuentra a una profundidad de 26 metros una hora después de haber comenzado el ascenso.

b) En primer lugar, calculamos el tiempo total del viaje mediante la siguiente relación:

$\frac{2\,m}{5\,min} = \frac{50\,m}{t}$

$t = 50\,m\times \frac{5\,min}{2\,m}$

$t = 125\,min$ ( $2\,h\,5\,min$ )

El tiempo faltante para alcanzar la superficie se calcula mediante la siguiente sustracción:

$\Delta t = 125\,min - 60\,min$

$\Delta t = 65\,min$ ( $1\,h\,5\,min$ )

Al submarino le falta 1 hora y 5 minutos para llegar a la superficie.

Answer from: Quest

the answer is a i belaeve atleast thats what my calculator just gfave me

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Answer from: Quest

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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