A scientist is growing bacteria in a lab for a study. One particular type of bacteria grows at a rate of y=3t^2 + 4t + 400. A different bacteria grows at a rate of y = 4t^2 + t + 200. In both of these equations, y is the number of bacteria after t minutes. Where is there an equal number of both types of bacteria? Enter the time to three decimals.

The equations has how many real solutions?

T=?

Suppose that an airline uses a seat width of 16.516.5 in. assume men have hip breadths that are normally distributed with a mean of 14.414.4 in. and a standard deviation of 0.90.9 in. complete parts (a) through (c) below. (a) find the probability that if an individual man is randomly selected, his hip breadth will be greater than 16.516.5 in. the probability is nothing. (round to four decimal places as needed.)

Pranza plotted point a in the coordinate plane below.

Geometry in the diagram, ∠abc is a right angle. ∠dbc = 30°27'40". find the measure of ∠abd.