What is the value of x in the equation 1.5(x 4) – 3 = 4.5(x – 2)? 3 4 5 9

SAT

1 answer:

GenaCL600 [577]2 years ago

3 0

Answer:

Hello! your answer is 9. hope you get a great score! have a nice day!

Explanation:

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Newton’s law of cooling states that for a cooling substance with initial temperature t0, the temperature t(t) after t minutes ca

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The cooling rate of the substance is approximately 0.0732.

According to the statement, the Newton's law of cooling is defined by the following formula:

$T(t) = T_{s} + (T_{o}-T_{s})\cdot e^{-k\cdot t}$ (1)

Where:

$T_{s}$ - Final temperature, in degrees Celsius.
$T_{o}$ - Initial temperature, in degrees Celsius.
$t$ - Time, in minutes.
$k$ - Cooling rate, in $\frac{1}{min}$ .
$T(t)$ - Current temperature, in degrees Celsius.

Please notice that substance reaches thermal equilibrium when $T(t) = T_{s}$ , that is when temperature of the substance is equal to the temperature of surrounding air.

If we know that $T_{o} = 80\,^{\circ}C$ , $t = 15\,min$ , $T_{s} = 50\,^{\circ}C$ and $T(15) = 60\,^{\circ}C$ , then the cooling rate of the substance is: