Solve.A square piece of cardboard is to be formed into an open-topped box by cutting  squares from the corners and folding up the sides. The volume of the resulting box is given by the formula  where x is the original length of each side of the piece of cardboard. Rewrite this volume equation by factoring completely.

A. 6(x - 12)(x + 12)
B. 6(x + 12)2
C. 6(x - 12)2
D. (x - 12)2


Answer: C

Mathematics

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Solve the problem.A thermometer reading 11°C is brought into a room with a constant temperature of 30°C. If the thermometer reads 17°C after 4 minutes, what will it read after being in the room for 7 minutes? Assume the cooling follows Newton's Law of Cooling:   U = T + (Uo - T)ekt.(Round your answer to two decimal places.)

A. 5.87°C B. 28.67°C C. 20.22°C D. 39.78°C

Mathematics

The fuel consumption of a new model of car manufactured by Kantanka Automobile Limited is being tested.In one trial, 50 cars chosen at random were driven under identical conditions and the distance ,xkm on 1liter of petrol were recorded . The results gave the following totals. summation of x =525 , summation of x2=5625. Calculate the 95% confidence interval for the average petrol consumption, in kilometer per liter, of car of this type

Mathematics

Solve the problem.The temperature at the South pole was -45° at 8 am. At 3 pm, it was 12°. By how many degrees did the temperature rise?

A. by -57° B. by 33° C. by -33° D. by 57°

Mathematics

Solve the equation. Express radicals in simplest form.3x2 = 45

A. {22.5}
B. {-}
C. {16}
D. {-1515}

Mathematics