Sharks and related fish can sense the extremely weak electric fields emitted by their prey in the surrounding waters. these detectors, located in their noses and called ampullae, are so sensitive they can detect a voltage gradient of 1 ? v across1 cm of seawater. how far apart would you have to place the poles of a 1.5 v battery to achieve the same electric field? (choose one)1) 6.7×10-9 m2) 1.5×10-2 m3) 1.5×10-6 m4) 1.5×104 m

Let v1, v2, w be three linearly independent vectors in r 3 . that is, they do not all lie on the same plane. for each of the following (infinite) set of vectors, carefully sketch it in r 3 , and determine whether or not it is a vector space (i.e., a subspace of r 3 ). explain your reasoning

A0.580-kg rock is tied to the end of a string and is swung in a circle with a radius of 0.500 meters. the velocity of the rock is 4.50 m/s. what is the centripetal force acting on the rock? 15.5 n 5.22 n 69.8 n 23.5 n

Click the game tab at the bottom of the simulation and select level 1. (there is no seesaw balance for this part of the activity.) balance the first equation, and click check to see if you got it right. if you can’t balance it in the first try, you can try again. work through the five equations for level 1. click continue to go on to level 2, and later level 3. each level is more difficult than the one before. keep trying until all the equations are balanced. in one or two sentences, describe how you did in the balancing game. in a few more sentences, explain one strategy you learned for balancing more complex equations.