The average forward speed for neotropical butterflies can be modeled by the function, V(m)= 4.2 √m where V(m) represents the average forward body speed in meters per second and m represents the body mass of the butterfly in grams. Use this model to estimate the average forward speed of a butterfly with a body mass of 0.4 gram. Round to one decimal

The federal government has developed the body mass index to determine ideal weights. A person's BMI is directly proportional to their weight in pounds and inversely proportional to the square of their height in inches. A BMI of 19-25 corresponds to a healthy weight. A 6-foot tall person weighing 177 lbs has BMI 24. (a) Determine the constant variation. (b) Find the BMI (to the nearest whole number) of a person whose weight is 130 lbs and whose height is 66 inches. (c) Calculate the BMI with listed height of 6’3 and weight of 215 lbs. Would this be considered a “healthy” BMI? (d) What if I told you that the information from part (c) is the listed height and weight of Chris Hemsworth while filming Thor: Ragnarok? What might this mean for the measurement of BMI?

Hooke's law states that the distance a spring stretches varies directly as the weight on the spring. Let d represent the distance (in inches) the spring stretches, let wrepresent the weight (in pounds) on the spring, and let k be the constant of proportionality. Write an equation that relates d to w. d =     A weight of 50 pounds stretches a spring 8 inches.     Use the equation that relates d to w and the known information to find k. k =   How far (in inches) will a weight of 120 pounds stretch the spring? in

The loudness, L, of a sound (measured in decibels, dB) is inversely proportional to the square of the distance, d, from the source of the sound. For a person 7 feet from a sound source, suppose the loudness is 85 decibels. How loud is the sound source when the person is 46 feet away? (Round your answer to two decimal places if necessary). dB Question Help: D Post to forum Submit Question esc 仑 G Search or type URL @ $ % 1 2 3 4 5 6 Q W E R A S D F G ock