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S_A_V [24]
3 years ago
7

What is the recursive formula and the explicit formula for the geometric sequence 2,6,18,54

Mathematics
1 answer:
natta225 [31]3 years ago
8 0
First term = 2
common ratio = 6
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Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credi
Vikki [24]
The equation of the circle: (x-a)^2+(y-b)^2=r^2

where:
(a; b) - coordinates of the center
r - a radius

Use: (a\pm b)^2=a^2\pm2ab+b^2\ \ \ \ (*)

We have:

x^2-4x+y^2+8y=-4\\\\x^2-2x\cdot2+y^2+2y\cdot4=-4\ \ \ |add\ 2^2\ and\ 4^2\ to\ both\ sides\\\\\underbrace{x^2-2x\cdot2+2^2}_{(*)}+\underbrace{y^2+2y\cdot4+4^2}_{(*)}=-4+2^2+4^2\\\\(x-2)^2+(y+4)^2=-4+4+16\\\\(x+2)^2+(y-4)^2=16\\\\(x+2)^2+(y-4)^2=4^2

Answer:
The center: (-2; 4)
The radius: r = 4
7 0
3 years ago
Read 2 more answers
Dean describes the data in the histogram as having a cluster from 30–60 and a peak at 40–49. He says the intervals 0–9 and 80–89
3241004551 [841]

Answer:

The last choice would be the best because peak is high, and in the histogram, it means it is the highest point in the histogram and data. Hope ths helped!

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the value of X
sashaice [31]

Answer:

x = 7

Step-by-step explanation:

=> 9/72 = 3x-20/56

=> 9×45/72 = 3x-20

=> 27/3 = x

=> x = 7

3 0
2 years ago
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
zalisa [80]

Answer: 272

Step-by-step explanation:

Let a1=11

a2=20

a3=29

Formula for sequence=

an=a1+(n-1)d

an = nth term

a1= first term

n= nth position

d= common difference

We are looking for the 30th term,so our n=30

d= a2-a1

d= 20-11

d= 9

Using the formula

an= a1+(n-1)d

a30= 11+(30-1)9

a30= 11+(29)9

a30= 11+(29×9)

a30= 11+261

a30= 272

Therefore, the 30th term is 272

8 0
3 years ago
Please help with these
kherson [118]

The answers are as follows.

a. 9x

In order to get this, you need to reevaluate 64 as a base of 4. Since 64 is equal to 4^3, we can rewrite the right side as

64^3x = (4^3)^3x = 4^9x

Which gives you the first answer.

b. 10

Similar to the first problem, we need to express 16 as a base of 2. 2^4 is equal to 16, so we use that in it's place and simplify.

16^5/2 = (2^4)^5/2 = 2^20/2 = 2^10

c. Sqrt(7.31)

This one is more simple. Raising something to a 1/2 power (.5) is the same as taking the square root.

4 0
3 years ago
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