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gogolik [260]
3 years ago
10

Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum. (If an answer does not exi

st, enter DNE.) 2 + 0.6 + 0.18 + 0.054 + ...
Mathematics
1 answer:
Mandarinka [93]3 years ago
3 0

Answer:

  sum: 2 6/7

Step-by-step explanation:

The first term is 2, and the common ratio is 0.6/2 = 0.3. This value is less than 1, so the series converges.

The sum is ...

  S = a0/(1 -r) = 2/(1 -0.3) = 2/0.7

  S = 2 6/7

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Please help! I don't really understand this.
ch4aika [34]

Step-by-step explanation:

11.

Area of rectangle = 408 in²

Length = 3x-2 and width = x

The area of a rectangle is given by :

A = lb

(3x-2)x = 408

x = 12 inch and x = -11.33 in

Neglecting negative value,

The width of rectangle = 12 inch

The length of rectangle = 3x-2 = 3(12)-2 = 34 inch

12.

Base of triangle = 2x+2

Height = x

The area of a triangle is given by :

A=\dfrac{1}{2}bh\\\\600=\dfrac{1}{2}\times (2x+2)x\\\\600=(x+1)x

x = 24 cm and x = -25 cm

Neglecting negative value, x = 24 cm

Base = 2x+2 = 2(24)+2 = 50 cm

Hence, this is the required solution.

8 0
3 years ago
What is 1 out of 7 + 1/2 plz help
scoray [572]
Answer: 9/14

Explanation. First, you have to find the least common denominator. The least common denominator is the lowest number you can use on the denominator to create a set of equivalent fractions

7 and 2 can both go into 14
Whatever number you use to multiply to equal 14, you do the same to the top.
It would look like this.

2/14 + 7/14
Then you add.

2/14 + 7/14= 9/14
You can’t simplify this fraction so this is your answer. Hope this helped!
7 0
3 years ago
PLEASE HELP! I'M STRUGGLING! WILL GIVE BRAINLIEST
lianna [129]

Answer:

1/6

Step-by-step explanation:

Since there is only 1 letter R in 6 options it is 1/6 (im not entirely sure)

7 0
3 years ago
Read 2 more answers
1.3.12
kondaur [170]

Answer:

<h3><em>(12, -6)</em></h3>

Step-by-step explanation:

The formula for calculating the midpoint of two coordinates is expressed as shown;

M(X, Y) = [(x1+x2)/2,  (y1+y2)/2]

Given the midpoint of ST to be ((6, -2) and one endpoint T is (0,2), according to expression above;

X = (x1+x2)/2

Y = (y1+y2)/2

From the coordinates, X = 6, Y = -2, x1 = 0 and y1 = 2, to get x2 and y2;

X = (x1+x2)/2

6 =  (0+x2)/2

cross multiply

12 = 0+x2

x2 = 12-0

x2 = 12

For 2;

Y = (y1+y2)/2

-2 =  (2+y2)/2

cross multiply

-4 = 2+y2

y2 = -4-2

y2 = -6

<em>Hence the other endpoint S(x2, y2) is (12, -6)</em>

<em></em>

3 0
3 years ago
Someone please help I need this as fast as possible<br> GIVING 20 POINTS
baherus [9]
Answer
(10x+15) + (5x)=180
X=11
4 0
3 years ago
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