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Anna [14]
2 years ago
10

Sequence is defined recursively using the equation . If f(1)=100, what is f(6)?

Mathematics
1 answer:
ehidna [41]2 years ago
3 0
60 is the correct answer
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What is the center of a circle whose equation is x2 y2 – 12x – 2y 12 = 0? (–12, –2) (–6, –1) (6, 1) (12, 2)
lora16 [44]

The center of a circle whose equation is x^2 +y^2 – 12x – 2y  +12 = 0 is (6,1)

<h3>Equation of a circle</h3>

The standard equation of a circle is expressed as:

x^2 + y^2 + 2gx + 2fy + c = 0

where:

(-g, -f) is the centre of the circle

Given the equations

x^2 +y^2 – 12x – 2y  +12 = 0

Compare

2gx = -12x

g = -6

Simiarly

-2y = 2fy

f = -1

Centre = (6, 1)

Hence the  center of a circle whose equation is x^2 +y^2 – 12x – 2y  +12 = 0 is (6,1)

Learn more on equation of a circle here: brainly.com/question/1506955

8 0
2 years ago
Find the area of given shape.
Makovka662 [10]

Answer:

124

Step-by-step explanation:

Find area of rectangle

than arrow

then add

6 0
3 years ago
Read 2 more answers
What is the difference between linear pair supplementary angle and straight angle?
Ivenika [448]
They both are 180 degrees.

One possible difference is that a straight angle is just a single angle measuring 180 degrees, while a linear pair supplementary angle are pairs of adjacent angles that add up to 180 degrees.
3 0
3 years ago
What is the rule for the following sequence: 2, 9, 21, 65
Helga [31]

There is no common ratio or common difference. The first three terms increases more slowly than a cubic, but the last three increase more quickly than the cube of n. The pattern is not obvious to me. When the sequence is cast in recursive terms, you get

... a[n] = (48/13)a[n-2] + (59/39)a[n-1] . . . . a[1] = 2, a[2] = 9

The next term using this rule is 174 34/39, not an integer.

The coefficients p and q for a[n-2] and a[n-1] can be found from

2p+9q=21\\9p+21q=65

_____

Any sequence of 4 numbers can be matched by a polynomial of degree 3 or less. Here, a calculator's polynomial regression function tells us the rule could be

... a[n] = 4.5n³ -24.5n² +49n -27

Using this rule, the next two terms are 168 and 357.

5 0
3 years ago
A deposit of 4000 at 9.5% for 270 days
Lapatulllka [165]
The deposit is 4,000 so P = 4000.

The interest rate is 9.5%

9.5 ÷ 100 = 0.095.

r = 0.095: I = P*r*t*: I = P*r*tl  = 4000*0.095*

(270/365)I = 281.095890410959 I = 281.10

So your answer would be: 281.10
8 0
3 years ago
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