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rewona
13 days ago
11

What is the recursive rule for an=4n−1? a1=4;an=an−1−1 a1=3;an=an−1+4 a1=−1;an=an−1+4 a1=3;an=an−1−1

Mathematics
2 answers:
Zina [9.1K]13 days ago
5 0
The correct choice is B. Here's a detailed breakdown.
zzz [9K]13 days ago
4 0
Substitute n = 1 into the formula for the nth term, giving you a(1) = 4*1-1, which results in a(1) = 3. Therefore, the first term is 3. The second term will be 7 since you increase by 4 each step, indicated by the common difference of 4. The nth term can thus be expressed as adding 4 to the (n-1)th term, or in formula terms, a(n) = a(n-1) + 4. In summary, the answer is a1 = 3; an = an-1 + 4, corresponding to choice B.
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Customer arrivals at a fast-food outlet conform to a Poisson distribution with an average rate of 16 customers per hour. In statistical probability analysis, the Poisson distribution is a commonly utilized discrete probability distribution. Employing the formula, it has been calculated that 0.0661 represents the probability of there being precisely 12 arrivals in the next hour.
8 0
4 days ago
Tracy sells water at a fair in 17oz bottles or 11oz cans. If on one shelf she has 11 containers of water that hold a total of 15
lawyer [9240]

Response:

Count of bottles = 6

Count of cans = c

Detailed reasoning:

Based on the following information:

Containers for selling water:

17 oz bottle

11 oz can

Let the number of bottles be denoted as b

Count of cans represented as c

b + c = 11 - - - (1)

17b + 11c = 157 - - - (2)

b = 11 - c

Insert into (2)

17(11 - c) + 11c = 157

187 - 17c + 11c = 157

187 - 6c = 157

-6c = 157 - 187

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c = 30/6

c = 5

From; b = 11 - c

b = 11 - 5

b = 6

Thus,

Count of bottles = 6

Count of cans = c

3 0
13 days ago
The source document states: (S) The process takes three hours to complete. The new document states: (S) The first step in the pr
tester [8842]

Answer:

Contained within.

Step-by-step explanation:

The accurate answer to the question posed is "contained within." This is because it was derived directly from the original text without requiring additional information, analysis, or interpretation in the new document.

4 0
1 month ago
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Answer:

The illustration provided shows the graph

Step-by-step explanation:

Let

x ------> number of times Emma cuts the grass

y ------> hours Emma spends babysitting

it is known that

6x+8y\geq 48 ------> represents the inequality of the scenario

The solution is the shaded region above the solid line where both x and y are positive

The equation for the solid line is represented as 6x+8y=48

The slope of the line is negative m=-\frac{3}{4}

The y-intercept is at the point (0,6) (the y-value when x is zero)

The x-intercept is at (8,0) (the x-value when y equals zero)

therefore

The illustration provided shows the graph

6 0
18 days ago
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The diagram shows two objects made of the same kind of glass. At left, a 3 dimensional figure labeled X with 2 triangular sides
Zina [9179]

Response:

A solid qualifies as a polyhedron if it consists solely of polygonal facets, with the faces converging at... polygons, and an equivalent number of faces converging at each vertex.... referred to as a right prism).... 1. 2. 3. The visuals below depict a 3-dimensional shape that does not meet the criteria... Example 10: The solid illustrated below is categorized as a rectangular prism or cuboid

Detailed explanation:

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16 days ago
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