Provide an appropriate response.{x|x ? N and 45 < x < 70} ? {x|x ? N and 45 ? x ? 70}
A. True
B. False
Answer: A
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Find the magnitude of u × v and the unit vector parallel to u × v in the direction of u × v.u = 4i + 2j + 8k, v = -i - 2j - 2k
A. 6;
i -
k
B. 180; i +
j +
k
C. 180; i +
k
D. 6;
i +
k
The amount of data passing through mobile phone networks doubles each year.
?
A: Explain why the amount of data passing through mobile phone networks is an exponential function of time.
?
B: Use for the initial amount of data, and write a formula that gives the amount D of data passing through mobile phone networks after t years.
?
C: If this trend continues, how long will it be before the amount of data is 125 times its initial value? Round your answer to two decimal places.
What will be an ideal response?
Solve the problem.A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, the angle of depression to the boat is 13° 12'. When the boat stops, the angle of depression is 49° 49'. The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round to the nearest foot.
A. 668 ft B. 706 ft C. 729 ft D. 684 ft
Solve.The cost of renting a certain type of car is $31 per day plus $0.10 per mile. A linear function that expresses the cost C of renting a car for one day as a function of the number of miles driven x is What is the implied domain of this linear function?
A. (0, ?) B. [31, ?) C. [0, ?) D. [0, 500]