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Minchanka [31]
3 years ago
5

What is the sum of the first five terms of a geometric series with a1 = 6 and r = 1/3?

Mathematics
2 answers:
kakasveta [241]3 years ago
8 0

Answer:

242/27

Step-by-step explanation:

tresset_1 [31]3 years ago
6 0
The sum of the terms of a geometric sequence with common ratio lesser than 1 is calculated through the equation,

                                  Sn = (a1) x (1 - r^n) / (1 - r)
Substituting the known values,
                                 S5 = (6) x (1 - (1/3)^5) / (1 - 1/3) = 242/27
Thus, the sum of the first five terms is approximately equal to 8.96. 

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Find the coordinates of the image of the point A(3, 9) for a dilation with the scale factor of 2/3
Ierofanga [76]

Answer:

A'(2, 6 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin, then multiply each of the coordinates by \frac{2}{3}

A(3, 9 ) → A'( \frac{2}{3} (3), \frac{2}{3} (9) ) → A'(2, 6 )

4 0
3 years ago
Read 2 more answers
Find the area of the triangle that has a base of 5 in. and a height of 3 3/4in
Lubov Fominskaja [6]
Area = 1/2 * base * height = 1/2 * 5 * 3 3/4  =  9 3/8  or 9.375 in^2
3 0
3 years ago
If 12 boxes of soap weigh 2.4 kg what will be the weight of 8 boxes of the same kind of soap​
RUDIKE [14]

Answer:

1.6kg

explanation:

2.4kg = 12 boxes of the soap

0.8kg = 4 boxes of the soap

1.6kg = 8 boxes of the soap

6 0
3 years ago
Laura is 3 times as old as Maria was when Laura was as old as Maria is now. In 2 years Laura will be twice as old as Maria was 2
kenny6666 [7]

Answer:

Laura is 30 years old and Maria is 18 years old.

Step-by-step explanation:

Let x be the present age of Laura and y be that of Maria.

Laura was 3 times older than Maria when Laura had Maria's present age.

Lets say Laura had Maria's present age(y) k years before.Then Maria's age at that time will be y-k where k=(x-y).

Then:

y=3(y-k)

y=3(y-(x-y))

y=3(2y-x)

3x=5y  -------1

After two years Laura will become x+2 years old and 2 years ago Maria was y-2 years old. Then:

x+2=2(y-2)

x=2y-6--------2

Solving 1 and 2 we get:

x=30 and y=18

Hence Laura's present age is 30 and Maria's present age is 18.

8 0
3 years ago
Pleaseeee helppp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Georgia [21]
It’s 6 because the full length is 12 and it’s asking for the half of it
4 0
3 years ago
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