A sine function has the following key features: Frequency = 1/8π

Amplitude = 6

Midline: y = 3

y-intercept: (0, 3)

The function is not a reflection of its parent function over the x-axis.

Did I get this correct?

f(x) = 6*sin( (1/8)*π*x) + 3

Step-by-step explanation:

A sine function is written as:

f(x) = A*sin(w*x + f) + M

where:

A = amplitude

w = frequency

f = phase

M = midline

Here we know that:

Frequency = 1/8π, then: w = (1/8)*π

Amplitde = 6, then A = 6

midline = 3, then M = 3

So our equation is:

f(x) = 6*sin( (1/8)*π*x + f) + 3.

Now we also know that:

y-inercept: (0,3)

This means that:

f(0) = 3 = 6*sin( (1/8)*π*0 + f) + 3 = 6*sin(f) + 3

Now we can remember that sin(0) = 0

Then we must have f = 0.

This means that the equation is:

f(x) = 6*sin( (1/8)*π*x) + 3

So the image of the function is:

unpaid balance is : $149.99-$50 = $99.99 new balance = 149.99+2.62-50 = $102.61 finance charge = 99.99- 0.21/12= $1.75 new balance = 99.99+1.75 = $101.74 average daily balance method average daily balance= 3399.70/30 = $113.32 finance charge = $ 0.21/12ă—113.32 = $1.98 new balance = $149.99-50+1.98 = $101.97

answer would be 8.64 or s = 11π/4 inches

step-by-step explanation:

s = r θ  

where s = arc length  

r = radius = 3 inches  

θ = central angle in radians = ( π /180)*165  

s = 3(π/180)*165  

= 8.64 inches