The chesapeake bay tides vary between 4 feet and 6 feet. the tide is at its lowest point when time (t) is 0 and completes a full cycle in 12 hours. what is the amplitude, period, and midline of a function that would model this periodic phenomenon? amplitude = 1 foot; period = 12 hours; midline: y = 5 amplitude = 2 feet; period = 6 hours; midline: y = 1 amplitude = 2 feet; period = 12 hours; midline: y = 5

The correct option is 1.

Step-by-step explanation:

The general cosine function is

where, A is amplitude, is period, C is phase shift and D is midline.

It is given that the Chesapeake Bay tides vary between 4 feet and 6 feet. it means the minimum value is 4 and maximum value is 6.

Amplitude of the function is

Therefore the amplitude of the function is y=5.

Midline of the function is

Therefore the midline of the function is y=5.

It completes a full cycle in 12 hours.

hours

Period of the function is 12 hours. Therefore the correct option is 1.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.