Algebra 2

The average daily minimum temperature for Pablo’s hometown can be modeled by the function f(x)=15.3sin(πx6)+44.1 , where f(x) is the temperature in °F and x is the month.

x = 0 corresponds to January.

What is the average daily minimum temperature in June?

Round to the nearest tenth of a degree if needed.

Use 3.14 for π .

really stuck could someone help out??

  1. 👍
  2. 👎
  3. 👁
  1. since the period of your sine curve should be 12
    2π/k = 12
    k = 6/π
    your equation probably should have been:
    f(x)=15.3sin(πx/6)+44.1 instead of what you typed.

    since Jan ----> x = 0
    June ----> x = 5

    so just sub in x = 5 and evaluate

    Let me know what you got.

    1. 👍
    2. 👎
  2. i did but im still stuck

    1. 👍
    2. 👎
  3. stuck how? Just replace x with 5 and evaluate!
    too bad you could not be bothered to show us what you did.

    f(x) = 15.3sin(πx/6)+44.1
    f(5) = 15.3sin(5π/6)+44.1
    = 15.3(1/2)+44.1
    ...

    1. 👍
    2. 👎
  4. Okay so I worked on the same problem and I got this answer, rounded to the nearest tenth like the problem says; 10.9

    Here's my work:

    15.3 sin (3.14(5)/6)+44.1
    15.3 sin (15.7/6)+44.1
    15.3 sin(2.616666667)+44.1
    I5.3 sin(46.71666667)
    I got=10.91958335

    Unfortunately, I can't put in screenshots here :|
    Hopefully my answer is correct!

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. ALGEBRA

    wo quadratic functions are shown. Function 1: f(x) = 4x2 + 8x + 1 Function 2: x -2 -1 0 1 g(x) 2 0 2 8 Which function has the least minimum value and what are its coordinates? Function 1 has the least minimum value and its

  2. MATH HELP

    The cost to produce a product is modeled by the function f(x) = 5x^2 − 70x + 258 where x is the number of products produced. Complete the square to determine the minimum cost of producing this product. 5(x − 7)^2 + 13; The

  3. math-precalculus

    Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 73 and 87 degrees during the day and the average daily temperature first occurs at 8 AM. How many hours after

  4. trigonometry

    An object is attached by a string to the end of a spring. When the weight is released it starts oscillating vertically in a periodic way that can be modeled by a trigonometric function. The object's average height is −20 cm

  1. algebra

    An amusement park's average daily attendance during its first year of operation in 1988 was 2046 people. since the the average daily attendance ahs increased by about 115 people yearly. let (T) be the number of years since 1988.

  2. Algebra

    The temperature y (in degrees Fahrenheit) after t months can be modeled by the function y=-3t^2+18t+53 where 1

  3. calculus

    1. Find the average value have of the function h on the given interval. h(x) = 2 cos4(x) sin(x), [0, π] 2. Consider the given function and the given interval. f(x) = 6 sin(x) − 3 sin(2x), [0, π] (a) Find the average value fave

  4. Calculus

    The perfect pizza parlor estimates the average daily cost per pizza to be C(x) = (0.00025x^2 + 8x + 10)/x , where x is a number of pizzas made in a day. a) determine the total cost at the level of production of 50 pizzas a day. b)

  1. English

    Pablo insists that a conclusion should reinforce the thesis statement. Patrice says that the conclusion should follow logically from the introduction. Who is correct? A. Both Pablo and Patrice are correct. B. Neither Pablo nor Pam

  2. Algebra 2

    Over a 24-hour period, the temperature in a town can be modeled by one period of a sinusoidal function. The temperature measures 70°F in the morning, rises to a high of 80°F, falls to a low of 60°F, and then rises to 70°F by

  3. Algebra 2

    URGENT HELP PLEASE the temperature of a room during an experiment can be modeled by the function f(x)=23.7 cos (Pi x /60) +18. Where f(x) is the temperature F degrees and x is the number is hours into the experiment. What is the

  4. algebraic modeling

    A toy manufacturer determines that the daily cost,C, for producing x units of a dump truck can b approximated by the function c(x)=0.005x^2-x+109 I got that the manufacturer must produce 100 units per day... What is the minimum

You can view more similar questions or ask a new question.