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sammy [17]
3 years ago
12

A sequence is defined recursively by f(1)=16 and f(n)= f(n-1)+2n. Find f(4)

Mathematics
1 answer:
lord [1]3 years ago
8 0
Hi,

f(1)=16
f(2)=f(1)+2*2=16+4=20
f(3)=f(2)+2*3=20+6=26
f(4)=f(3)+2*4=26+8=34

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Because 3 2/4 would be the answer when you subtract it and most teachers and/or tests want you to simplify the answer which would be 1/2 because you would divide the numerator and denominator by 2. 
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3 years ago
In a particular​ year, a total of 40 comma 285 students studied in two of the most popular host countries when traveling abroad.
klasskru [66]

Answer: 2nd most popular country =  15895 students

most popular country = 24390 students

Step-by-step explanation:

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2nd most popular country = x students

most popular country = x + 8,495 students

x + x + 8495 = 40285

2x + 8495 = 40285

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3 years ago
A carpenter has a board 400 inches long and 10 inches wide. He makes 5 identical shelves with the board and still has a piece of
Sedaia [141]
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3 0
3 years ago
Read 2 more answers
A dieter believes that the average number of calories in a homemade peanut better cookie is more than the average number of calo
zalisa [80]

The confidence interval formula is computed by:

Xbar ± Z s/ sqrt (n)

Where:

Xbar is the mean

Z is the z value

S is the standard deviation

N is the number of samples

 

So our given are:

90% confidence interval with a z value of 1.645

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Standard deviation 2, 4

 

So plugging that information in the data will give us a confidence interval:

For 1:

Xbar ± Z s/ sqrt (n)

= 180 ± 1.645 (2 / sqrt (40))

= 180 ± 1.645 (0.316227766)

= 180 ± 0.520194675

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For 2:

Xbar ± Z s/ sqrt (n)

= 179 ± 1.645 (4 / sqrt (45))

<span>= 179 ± 1.645 (0.596284794)</span>

therefore, the answer is letter b

8 0
4 years ago
If the center of a circle is<br> (-5,8) and a point on the circle is (-5, -4) What is the radius?
Maslowich

Answer:

The radius is 12.

Step-by-step explanation:

You're given the center and a point on the circle. The point and the center both have an x-coordinate of -5, so there is no horizontal distance between them. The distance is only in the vertical direction. The distance from 8 to -4 is 12. Since this is the distance from the center to a point on the circle, this equals the radius.

3 0
3 years ago
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