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:
.52¢
Step-by-step explanation:
One apple cost 52 cents. The expression below represents the cost of an apple.
5a =2.60
5a/5= 2.60/5
a =0.52
For this case we can model the problem as a rectangle triangle.
We know:
Length of the sides of the triangle
We want to know:
Length of the hypotenuse
Using the Pythagorean theorem we have:

Rewriting the expression we have:

Then, the distance that he would have saved if he travels directly is:
Answer:
he would have saved:
1.8 miles
Answer:
A-$1.65
Step-by-step explanation:
You multiply 1.25 by 4 because each brother bought a bag of chips. Then you subtract that by the total and get $13.20 you divide that by 8 hot dog because each brother got 2 hot dogs. By dividing 8 by the left over amount from subtracting the chips you get how much each hot dog is worth.
Answer:
cos X = 
Step-by-step explanation:
simplify 15/39