Two vectors and have the components, in meters, ax = 6.91, ay = 1.45, bx = 2.45, by = 7.02. (a) find the angle between the directions of and . there are two vectors in the xy plane that are perpendicular to and have a magnitude of 8.28 m. one, vector , has a positive x component and the other, vector , a negative x component. what are (b) the x component and (c) the y component of , and (d) the x component and (e) the y component of vector ?

Simplify. −4x^2 (5x^4−3x^2+x−2) −20x^6−12x^4+8x^3−8x^2 −20x^6+12x^4−4x^3+8x^2 −20x^8+12x^4−4x^2+8x −20x^6+12x^4+4x^3−8x^2

Given that abcd is a rhombus, what is the value of x?

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?