The average prices of a gallon of fuel are shown in the table. Let p=f(t) be the average price of fuel at t years since 1980. The model f(t)=0.0075t2−0.2t+2.32 fits the data well. Year
Price​ (dollars per​ gallon)

1980
2.38
1985
1.57
1990
1.18
1995
0.95
2001
1.33
2005
1.95
2006
2.35
a. Find the​ p-intercept of the model.
The​ p-intercept is nothing.
​(Type an ordered pair. Type an integer or decimal rounded to two decimal places as​ needed.)

65 8 7 4 5 6 8 4 3 2 1 9 5 6 4 2 1 6 5 1 5 1 3 2 3 5 multiply the third number in the first row by the seventh number in the third row. add this result to the fifth number in the second row. add to this total ten times the fourth number in the third row. subtract the eighth number in the first row from the result.

In triangle △abc, ∠abc=90°, bh is an altitude. find the missing lengths. ah=4 and hc=1, find bh.

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d.what is the height of the tide after 93 hours?