The bearing from City A to City B is Upper N 48 degrees Upper E. The bearing from City B to City C is Upper S 42 degrees Upper E. An automobile driven at 55 mph takes 1.6 hours to drive from City A to City B and takes 1.4 hours to drive from City B to City C. Find the distance from City A to City C. (Neglect the curvature of the earth.)

Acar with a mass of 600 kg is traveling at a velocity of 10m/s. how much kinetic energy does it have?

Evaluate 8x2 + 9x − 1 2x3 + 3x2 − 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 − 2x = x(2x2 + 3x − 2) = x(2x − 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the form† 8x2 + 9x − 1 x(2x − 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x − 1)(x + 2), obtaining 8x2 + 9x − 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x − 1).

6. sarah saved $12.75 every week for a number of weeks, w. she received an additional $25 during the last week in which she saved money. write and solve an equation to find the number of weeks, w, for which sarah had saved money if she has $114.25 now.