A group contains n men and n women. 2n! number of ways are there to arrange these people in a row if the men and women alternate. Arrangement is known as permutation.
A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."
When the order of the arrangements counts, a permutation is a mathematical technique that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.
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Answer: $76,000
<u>Step-by-step explanation:</u>
State Income Tax = Salary × Income Tax Rate
3040 = Salary × 0.04
<u> ÷ 0.04 </u> <u> ÷0.04 </u>
76,000 = Salary
Answer:
1. Binomial
2. Binomial
3.Polynomial
4. Constant
5.Trinomial
6. Trinomial
Monomial- consists of one term
Binomial- consists of two terms separated by a plus or minus sign
Trinomial- consists of three terms separated by a plus or minus sign
Polynomial- consists of 4+ terms separated by a plus or minus sign
Constant- a number such as 130
Answer:
Option D (r(t) = 3.50t +25
; r(8) = 53)
Step-by-step explanation:
The fixed cost to rent the kayak $25. This is the cost which remains fixed irrespective of the usage of the kayak. The variable cost of using the kayak is the cost which depends on the usage of the kayak. It is mentioned that the kayak is used for 4 hours and the company charges $3.5 for every half hour. The cost function is given by:
r(t) = 25 + 3.5t ; there r is the total cost of using the kayak and t is the number of half-hours the kayak is used.
4 hours means that there are 8 half-hours. Therefore, t=8. Put t=8 in r(t).
r(8) = 25 + 3.5*(8) = 25 + 28 = 53.
Therefore, Option D is the correct answer!!!
