An office worker uses an immersion heater to warm 250 g of water in a light, covered, insulated cup from 20°c to 100°c in 4.00 minutes. the heater is a nichrome resistance wire connected to a 120-v power supply. assume the wire is at 100°c throughout the 4.00-min time interval. specify a diameter and a length the wire can have. can it be made from less than 0.5 cm3 of nichrome?

Acoil formed by wrapping 80 turns of wire in the shape of a square is positioned in a magnetic field so that the normal to the plane of the coil makes an angle of 28.0° with the direction of the field. when the magnetic field is increased uniformly from 200 µt to 600 µt in 0.400 as, an emf of magnitude 80.0 mv is induced in the coil. what is the total length of the wire?

What is the name of the perceived change in a sound wave’s frequency due to motion between the observer and the sound source?

For the below questions, consider a consumer that consumes two goods, x and z with the following utility function. u with bar on top space equals space x to the power of 1 third end exponent z to the power of 2 over 3 end exponent suppose initial values for income and the prices of goods x and z are y equals 90, p subscript x equals space 10, and p subscript z equals 15 respectively, then the price of good x falls to syntax error from line 1 column 89 to line 1 column 100. unexpected '\'.. what is the magnitude of the total effect