That the value of f(x)=5x^2+4 is greater than the value of g(x)=2^x over the interval (0,8) as x increases will the value of f(x) always be greater than the value of g(x) explain how you know

Figure abcd is a parallelogram. if point c lies on the line x = 2, what is the y-value of point c

If there is 20 dogs in the shelter and 5 dogs get homes, and then 43 more dogs come. how many dogs are there in the shelter?

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?