Write six different iterated triple integrals for the volume of the tetrahedron cut from the first octant by the plane xyz. Evaluate the first integral.

Each month, a shopkeeper spends 5x + 14 dollars on rent and electricity. if he spends 3x−5 dollars on rent, how much does he spend on electricity? for which value(s) of x is the amount the shopkeeper spends on electricity less than $100? explain how you found the value(s).

Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (-1+i)+(21+5i)+0

Maddie's rectangular kitchen has an area of 10 square yards and a length of 3 3/4 yards. how many yards wide is maddie's kitchen?