Period of sin wave = 1/2
Period of parent sine function is 2π.
This means the x value of sine function (sin(x)) has to be divided by 4π to get a period of 1/2 because 2π/4π = 1/2
Thus, our function will be of the form:

Maximum Value = 10
Minimum Value = -4
Amplitude of the function = (Maximum Value - Minimum Value)/2
So, amplitude of the function is 7
Thus, the function will be of the form:

The function has a y-intercept other than zero, this means the function will be of the form:

The y-intercept is 3. This means for x=0, y=3. Using the values, we get:
Thus the equation of the sinusoidal function becomes:
Answer:
Step-by-step explanation:
remember that to put a number in scientific notation is necessary to have the first digit of the number different to 0, so

to calculate the order of magnitude, if the number is greater than 3.16, we assume it as a 10, so in this case as 7.654 > 3.16 we get that the order is

So the order is 10^-3
Answer: C. 115 pieces of candies divided equally between 5 friends is not equal to 21 each
Step-by-step explanation: 115 divided by 5 is 23 each and not 21.
First, you calculate the total amount of parts : 2 + 5 = 7
Next, divide the number by the total amount of parts : 28 ÷ 7 = 4
After that, you multiply the answer by the amount of parts needed on both sides of the ratio : 4 × 2 = 8 and 4 × 5 = 20
Finally put these answers back into the ratio : 8:20
So there are 8 students in the play
To check, make sure both sides of the ratio add up to the original number : 8 + 20 = 28