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The battery power available to run a satellite is given by the formula P=50e⁻t/₂₅₀, where P is power in watts and t is time in days. For how many days can the satellite run if it requires 15 watts of power?

Respuesta :

By basic algebra, we can say that: the satellite to run for about 130 days if it requires 15W of power.

What is basic algebra?

  • Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra.
  • Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.

Given:

  • P = 50 [tex]e^{\frac{-t}{250}}[/tex]
  • P = Power in watts,
  • t = time in days

To find: t when P = 15.

Finding:

On substituting the given values in the given formula, by basic algebra, we get:

15 = 50 [tex]e^{\frac{-t}{250}}[/tex]

=> [tex]\frac{15}{50}=\frac{3}{10}[/tex] = [tex]e^{\frac{-t}{250}}[/tex]

=> log [tex]\frac{3}{10}[/tex] = [tex]\frac{-t}{250}[/tex]

=> - 0.522 = [tex]\frac{-t}{250}[/tex]

=> 130.5 = t

Hence, the satellite to run for about 130 days if it requires 15W of power, as solved by basic algebra.

To learn more about basic algebra, refer to the link:https://brainly.com/question/723406

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