A rescuer on a helicopter that is 50 feet above sea level drops a lifebelt. The distance from the lifebelt to the sea can be modeled by the equation LaTeX: h\left(t\right)=-16t^2+sh ( t ) = − 16 t 2 + s, where t is the time, in seconds, after the lifebelt is dropped, and s is the initial height, in feet, of the lifebelt above the sea. How long will it take for the lifebelt to reach the sea? Round your answer to the nearest tenth of a second.

If a 36 inch yardstick casts a 21 foot shadow, how tall is a building whose shadow is 168 feet? what is the scale factor

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24

Acaterpillar eats 1400\%1400% of its birth mass in one day. the caterpillar's birth mass is mm grams. which of the following expressions could represent the amount, in grams, the caterpillar eats in one day? \