Use the Fundamental Counting Principle to solve the problem.There are 8 performers who are to present their acts at a variety show. One of them insists on being the first act of the evening. If this request is granted, how many different ways are there to schedule the appearances?
A. 64
B. 40,320
C. 56
D. 5040
Answer: D
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Solve the problem.The spring of a spring balance is 5.0 in. long when there is no weight on the balance, and it is 8.3 in. long with 9.0 lb hung from the balance. How much work is done in stretching it from 5.0 in. to a length of 14.6 in.?
A. 130 in.-lb B. 13 in.-lb C. 260 in.-lb D. 17 in.-lb
Measurements are made at two different times. Find the absolute change and then find the percentage change. Round answers to the nearest tenth if necessary.The value of Anna's house increased from $250,000 when she bought it 20 years ago to $1.31 million today.
A. Absolute change: $1,060,000 Percentage change: 80.9% B. Absolute change: $1,060,000 Percentage change: 42.4% C. Absolute change: $1,060,000 Percentage change: 424% D. Absolute change: $-1,060,000 Percentage change: 424%
Solve the problem.The manufacturer of a CD player has found that the revenue R (in dollars) is when the unit price is p dollars. If the manufacturer sets the price p to maximize revenue, what is the maximum revenue to the nearest whole dollar?
A. $285,013 B. $570,025 C. $1,140,050 D. $142,506
If possible, evaluate the expression at the given value of the variable. , x = -4
A.
B. -
C. -
D. Undefined