If 500 joules of energy is added to 1 kg of aluminum what would be its temperature increase

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

What do we mean by the event horizon of a black hole?

Acopper sheet has a volume of 100 cm³. if the density of copper is 8.9 g/cm³, what is the mass of the sheet? a. 11 g b. 8.9 g c. 189 g d. 890 g