The sizes of two matrices A and B are given. Find the sizes of the product AB and the product BA, if the products are defined.A is 1 × 4, B is 4 × 1.
A. AB is undefined, BA is 4 × 4.
B. AB is 4 × 4, BA is 1 × 1.
C. AB is 1 × 1, BA is 4 × 4.
D. AB is 1 × 1, BA is undefined.
Answer: C
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Rewrite each of the following in scientific notation and calculate the answer in scientific notation.0.0085 × 0.0000006 × 0.001
A. 5.1 × 10-11 B. 5.1 × 10-12 C. 5.1 × 10-13 D. 5.1 × 10-14
First, use front-end rounding to round each number and estimate the answer. Then, find the exact answer.Julian is taking a road to Calistoga. He has already driven 76.19 kilometers. If the entire distance to Calistoga is 132 kilometers, how much further must Julian drive?
A. Estimate: 20 kilometers; exact: 55.91 kilometers B. Estimate: 30 kilometers; exact: 56.81 kilometers C. Estimate: 30 kilometers; exact: 65.81 kilometers D. Estimate: 20 kilometers; exact: 55.81 kilometers
Solve the problem. Use 3.14 for ?. Round to the nearest whole number.A new addition is being build onto an art museum. The new building is in the shape of a pyramid. If the height of the building is 100 feet and its square base is 50 feet on a side, find the volume of the building.
A. 250,000 ft3 B. 1667 ft3 C. 125,000 ft3 D. 83,333 ft3
Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and common difference, d, are given.a = -9; d = 8an = ?; a7 = ?
A. an = -9 + 8n; a7 = 39 B. an = -17 + 8n; a7 = 111 C. an = -17 + 8n; a7 = 39 D. an = -17 - 8n; a7 = 39