Can you prove that:
a² + b² ≥ -2ab ?

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?

Jimmy can run 3.5 miles in 20 minutes. how far can ne run in one hour and ten minutes?

What is the maximum of the sinusoidal function