A 20-ounce candle is expected to burn for 60 hours. A 12-ounce candle is expected to burn for 36 hours. Assuming the variables a
2 answers:
Respuesta: Una vela de 9 onzas tiene una duración esperada de 27 horas.
Explicación paso a paso: Considerando que una vela de 20 onzas se le atribuye durabilidad de 60 horas y una de 12 onzas de 36 horas.
<psi los="" variables="" est="" directamente="" relacionados="">necesitamos hallar el número de horas que una vela de 9 onzas debe durar.Definamos x como la cantidad de onzas de la vela y y como el número correspondiente de horas que arde.
Dado que los variables son directamente proporcionales, el gráfico generará una línea recta.
Los puntos (x, y) = (20, 60) y (12, 36) se encuentran en dicha línea.
Por lo tanto, la pendiente de la línea será
Por lo tanto, la ecuación correspondiente es
Así, si x = 9, entonces
Por consiguiente, una vela de 9 onzas se prevé que dure 27 horas.
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Answer:
The appropriate expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction
Step-by-step explanation:
In order to simplify the expression where x ≠ 0, y ≠ 0, we must work through the given expression.
The appropriate expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction
Response:
a
f'(t) is negative
b
The unit is degC/min
c
At 35 minutes since the coffee was placed on the counter, the temperature is 68, and it will drop by approximately 0.75 in the next 30 seconds.
Detailed explanation:
According to the question, we are informed that
The temperature of a cup of coffee on a counter is represented by the equation
where t indicates the time in minutes since the coffee was set on the counter.
In general, f(t)' denotes the derivative of f(t), indicating the change in temperature over time for the coffee
As the coffee rests on the counter, its temperature tends to decrease after a few minutes; thus, f(t)' is negative.
The temperature is measured in degrees Celsius while time is expressed in minutes.
Therefore, the change in temperature with respect to time, f(35)', will be given in degrees Celsius per minute (i.e., degC/min).
The question states that
which means the rate of temperature change after 35 minutes is 1.5.
And
indicating that the coffee's temperature after 35 minutes is 67 degrees Celsius.
Subsequently, after another t= 30 seconds = the rate at which the coffee's temperature changes is
=>
=>
Thus
At 35 minutes since the coffee was placed on the counter, its temperature is 68 and will drop by roughly 0.75 in the next 30 seconds.