Solve the problem.The sum of the squares of the digits of a positive two-digit number is 13, and the units digit is 1 more than the tens digit. Find the number.

A. 23
B. 34
C. 32
D. 43


Answer: A

Mathematics

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Solve by the method of your choice. Identify whether the system has no solution or infinitely many solutions, using set notation to express the solution set.

A. {(0, 10)}
B. {(5, -10)}
C. ?
D. {(x, y) }

Mathematics

Evaluate the spherical coordinate integral.

A. ?
B. ?
C. ?
D. ?

Mathematics

Solve the problem.A nuclear scientist has a sample of  of a radioactive material which has a half-life in hours. She monitors the amount of radioactive material over a period of 30 hours and obtains the following data. Use a graphing utility to fit an exponential function to the data. Round the values to the nearest thousandth. Then, use the function to predict the amount of material, rounded to the nearest tenth, remaining at 40 hours. .

A. y = 99.671e-0.077x, 6.7 mg B. y = 99.671e0.926x, 1.2 mg C. y = 99.671e0.077x, 2168.7 mg D. y = 99.671e-0.077x, 4.6 mg

Mathematics

Solve the problem.A pipe is cut into two pieces, with one piece 20 feet longer than the other. The pipe was 56 feet long before it was cut. How long is each piece?

A. 38 feet, 18 feet B. 38 feet, 36 feet C. 56 feet, 36 feet D. 76 feet, 36 feet

Mathematics