Approximate the natural logarithm with a scientific calculator. Round to four decimal places.ln 99,300,000
A. 18.4137
B. 6.9007
C. 7.9969
D. 0.0541
Answer: A
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Simplify using one or more exponent rules. Write the final answer using only positive exponents. Assume that all variables represent nonzero real numbers.
-1
A. m12n10
B. (mn)-10
C. 
D. 
Solve the problem using matrices.A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hours to prepare, 2 hours to paint, and 9 hours to fire. A tree takes 16 hours to prepare, 3 hours to paint, and 4 hours to fire. A sleigh takes 4 hours to prepare, 14 hours to paint, and 7 hours to fire. If the workshop has 109 hours for prep time, 57 hours for painting, and 97 hours for firing, how many of each can be made?
A. 7 wreaths; 5 trees; 2 sleighs B. 2 wreaths; 7 trees; 5 sleighs C. 8 wreaths; 6 trees; 3 sleighs D. 5 wreaths; 2 trees; 7 sleighs
Write the complex number in polar form. Express the argument in degrees, rounded to the nearest tenth, if necessary.-15 + 20i
A. 25(cos 126.9° + i sin 126.9°) B. 25(cos 233.1° + i sin 233.1°) C. 25(cos 53.1° + i sin 53.1°) D. 25(cos 306.9° + i sin 306.9°)
Solve the problem.A game involves choosing 5 numbers from the numbers 1 through 13. In how many ways can this be done?
A. 1267 B. 154,440 C. 1287 D. 1295