Factor the difference of squares.36s5 - 4st4
A. s(6s2 + 2t2)(6s2 - 2t2)
B. s(6s2 + 2t2)(s + t)(s - t)
C. 36s(s2 + t2)(s + t)(s - t)
D. (6s2 + 2st2)(6s2 - 2st2)
Answer: A
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Find the value of each square root by use of a calculator. Each number is approximate.
A. 7.8 B. 7.80 C. 3710 D. 24.7
Find the unit tangent vector T and the principal unit normal vector N. r(t) = (1 + t)3/2i +
(1 - t)3/2j +
tk
A. T = i +
j +
k; N =
i +
j
B. T = i -
j +
k; N =
i +
j
C. T = i -
j +
k; N =
i +
j
D. T = i -
j +
k; N =
i +
j
Solve the problem.On a holiday weekend, Nancy drove 1 hours in rush-hour traffic. When traffic eased up, she was able to increase her speed by 44 miles per hour and drove another 4
hours. If the entire trip was 354 miles, how fast did she drive in rush-hour traffic?
A. 27 mph
B. 27 mph
C. 28 mph
D. 26 mph
Match the following statements and reasons to complete the proof of:
Theorem: If you set aside time, then you will be able to accomplish more.
Premise 1: If you exercise, your health will improve.
Premise 2: If your health improves, you will be able to accomplish more.
Premise 3: If you set aside time, you can exercise.