Which of the following methods has led to the most discoveries of massive planets orbiting near their parent stars? a) detecting the starlight reflected off the planetb) detecting the infrared light emitted by the planetc) detecting the gravitational effect of an orbiting planet by looking for the doppler shifts in the star's spectrumd) detecting the shift of the star's position against the sky due to the planet's gravitational pulle) detecting a planet ejected from a binary star system

Agroup of students is studying convection currents. they fill two identical balloons with the same amount of helium. one balloon is placed in a freezer and the other in an area with warm air. after 10 minutes, the balloons are released from a height of 1 meter. which of the following do the students most likely observe? question 2 options: the balloons rise at the same rate. both balloons are the same size. the ballons both rise. the cold ballon is larger than the warm balloon. the cold balloon expands and rises. the warm balloon shrinks and sinks. the warm balloon expands and rises. the cold balloon shrinks and sinks.

Atank has a shape of a cone with a radius at the top of 2 m and a height of 5 m. the tank also has a 1 m spout at the top of the tank. the tank is filled with water up to a height of 2 m. find the work needed to pump all the water out the top of the spout. (use 9.8 m/s2 for g and the fact that the density of water is 1000 kg/m3.)

On average 8 bananas make up one pound. the price is four pounds for 5.00. you must buy 25 bananas. what is your cost?