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the sum of the digits of a two-digit number is 12. the tens digit is three times the ones digit. what is the number?
the length of the red line segment is 12,and the length of the blue line segment is 4. how long is the transverse axis.
In how many ways can all the trees be distributed and planted if the trees are distinct, any family can get any number, and a family must plant its trees in an evenly spaced row along the road?
Determine the interest rate compounded semiannually at which the P500 payment every six months will amount to P27,000 in 12 years.
The temperature of a plate at the point (x,y) is given by T(x,y) = 300+ 3x^2 -2y^2. A heat hating ant is located at the point (3,2).
An anchor weighing 125 lb in water is attached to a chain weighing 4 lb/ft in water. Find the work done to haul the anchor and chain to the surface of the water from a depth of 50 ft.
If the random variable z is the standard normal score, which of the following probabilities could easily be determined without
Mendel conducted an experiment with peas. One offspring sample had 428 green peas and 152 yellow peas. Find a 99% confidence interval for the proportion of yellow peas.
For how many years will the field be contaminated? (Round your answer to the nearest tenth.)
Find the ratio of the radius of the circle to the height of the rectangle so that the area of the window is a maximum.
At the beginning of an experiment, a scientist has 272 grams of radioactive goo. After 180 minutes, her sample has decayed to 17 grams.
A 8788 ft3 tank with a square base and open top is to be constructed of sheet steel of a given thickness. Find the dimensions of the tank with minimum weight.
an open box is to be constructed from a square piece of metal by removing a square of side 3 inches form each corner and turning up the edges. if the box is to hold 108 cubic inches, what should be the dimensions of the metal.
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