What is the value of b 2 - 4ac for the following equation?

2x 2 + 3x = -1

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?

Chosen according to the volume of oil it can haul, as shown in at a railway yard, locomotives are used to haul containers carrying the table. locomotive capacity a450 0 -750 cubic feet cg35 750-1,500 cubic feet br73 1,500-2,500 cubic feet yh61 2,500-3,500 cubic feet & the four cylindrical containers listed in the table need to be hauled. cylinder length (ft.) diameter (ft.) fill level a 40 , 12 half b 24 8 full c 16 16 full 6 12 full d match each container to the locomotive needed to haulit a450 cylinder a yh61 cylinder d

Atest of sobriety involves measuring the subject's motor skills. a sample of 31 randomly selected sober subjects take the test and produce a mean score of 64.4 with a standard deviation of 2. a claim is made that the true mean score for all sober subjects is equal to 65. for each part below, enter only a numeric value in the answer box. for example, do not type "z =" or "t =" before your answers. round each of your answers to 3 places after the decimal point. (a) calculate the value of the test statistic used in this test. test statistic's value = (b) use your calculator to find the p-value of this test. p-value = (c) use your calculator to find the critical value(s) used to test this claim at the 0.2 significance level. if there are two critical values, then list them both with a comma between them. critical value(s) =