In the month of March, the temperature at the South Pole varies over the day in a periodic way that can be modeled approximately by a trigonometric function.
The highest temperature is about -50°C, and it is reached around 2 p. m. The lowest temperature is
about -54°C and it is reached half a day apart from the highest temperature, at 2 a. m.
Find the formula of the trigonometric function that models the temperature T in the South Pole in March
t hours after midnight. Define the function using radians.
T(t)
What is the temperature at 5 p. m.? Round your answer, if necessary, to two decimal places.
С

180 square centimeters

step-by-step explanation:

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

14

step-by-step explanation: