Question

The model for long-term average temperature f (x), in degrees Celsius, at the Willburn airport is represented by the equation f of x is equal to 5 times sine of the quantity x over 12 end quantity plus 14 and 5 tenths period If x represents the month of the year, in which months will the temperature be 17°C?

x equals pi over 6 plus 2 times pi times n and x equals 5 times pi over 6 plus 2 times pi times n
x equals pi over 6 plus 24 times pi times n and x equals 5 times pi over 6 plus 24 times pi times n
x = 2π + 2πn and x = 10π + 2πn
x = 2π + 24πn and x = 10π + 24πn

Answer 1

The temperature will be 17°C in the months represented by x = pi/6 + 12pi*n and x = 5pi/6 + 12pi*n.

Step-by-step explanation:

The equation f(x) = 5sin(x/12) + 14.5 represents the long-term average temperature at the Willburn airport. To find the months when the temperature is 17°C, we need to solve for x when f(x) = 17.

Substituting 17 for f(x), we have 17 = 5sin(x/12) + 14.5. Subtracting 14.5 from both sides gives 2.5 = 5sin(x/12). Dividing by 5 gives sin(x/12) = 0.5.

To find the values of x, we can use the sine inverse function. We know that sin(pi/6) = 0.5, so x/12 = pi/6 + 2pi*n, where n is an integer. Solving for x, we have x = pi/6 + 12pi*n and x = 5pi/6 + 12pi*n. Therefore, the temperature will be 17°C in the months represented by x = pi/6 + 12pi*n and x = 5pi/6 + 12pi*n.

Answer 2

need more info

Step-by-step explanation:

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