An accountant in charge of reducing expenditures for a local company thinks they can save considerable money on fuel costs by lowering the room temperature of the building for daily use. in the morning, the interior temperature is typically 47.6 ∘f, and the thermostat is typically set for 72.4 ∘f. the accountant proposes to lower the thermostat to 61.5 ∘f. currently, the building measures 23.5 ft×54.9 ft×14.5 ft. how much heat will be saved each morning by changing the building to the new operating temperature of 61.5 ∘f instead of 72.4 ∘f? ignore heat and air losses to the outside, and consider air an ideal diatomic gas. assume that in the morning, the pressure in the room is atmospheric. express the answer as a positive quantity.

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step-by-step explanation:

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

900 degrees

step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.