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tatyana61 [14]
3 years ago
6

The sum of the first 6 terms of a geometric sequence is 7, 812. the common ratio is 5. what is the second term of the sequence?

Mathematics
1 answer:
Snezhnost [94]3 years ago
4 0
OH right! I should have realised that!

S6 =  7,812 = a1 * (5^6 - 1)
                               -----------  were  a1 = first term
                                 5 -  1

3906*a1 = 7812
a1 = 7812 / 3906 =  2

Therfore the second term = 2*5  = 10 Answer
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X^3 + 8 = (x+2)(____)<br> What do I have to multiply by (x+2) to get x^3 + 8
sasho [114]
                  x² -  2x + 4
x + 2|x³ + 0x² + 0x + 8
        x³ + 2x²
               -2x² + 0x
               -2x² -  4x
                          4x + 8
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                                  0

x³ + 8 = (x + 2)(x² - 2x + 4)
x³ + 8 = (x + 2)(x - 2)(x - 2)
x³ + 8 = (x + 2)(x - 2)²
7 0
3 years ago
What is the speed of light. Don't look it up. challenge excepted?
san4es73 [151]
300,000,000 seconds -------------
8 0
3 years ago
Read 2 more answers
PLASE HELP ASAP, brainly &gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt
oksian1 [2.3K]

I Hope That I Am Not To Late, But The Answer Is D (7,4) <3

<u>Explanation </u>

2 x 7 = 14

5 x 4 = 20

14-20= -6

>>>

2 x 7= 14

7 x 4 = 28

14-28= -14

X= 7 & Y=4

Once again sorry if i am late, if others come I hope this helps UwU

7 0
2 years ago
Tanya is training a turtle for a turtle race. For every 1/3 of an hour that the turtle is crawling, he can travel 2/23 of a mile
Oxana [17]

The unit rate with the turtle crawling is 6/23 mile per hour.

According to the statement

we have given that the every 1/3 of an hour that the turtle is crawling, he can travel 2/23 of a mile. and

we have to find the unit rate with the turtle crawling

So, For this purpose,

we know that the

The unit rate of speed in miles per hour the number of miles in one hour.

So, to find the unit rate:

Divide distance in miles with the time which is in hours.

So,

unit rate of speed = distance / time

unit rate of speed = (2/23) / (1/3)

unit rate of speed = 6/23 mile per hour.

So, The unit rate with the turtle crawling is 6/23 mile per hour.

Learn more about unit rate here

brainly.com/question/4895463

#SPJ1

8 0
1 year ago
PLZ ASWER ASAP!!!!!!!!!!!
geniusboy [140]

Answer:

f(x) = 6x² - 24x + 21

Step-by-step explanation:

The equation of a quadratic function in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (2, - 3 ) , then

f(x) = a(x - 2)² - 3

To find a substitute (1, 3 ) into the equation

3 = 1(1 - 2)² - 3

3 = a(- 1)² - 3

3 = a - 3 ( add 3 to both sides )

6 = a

f(x) = 6(x - 2)² - 3 ← in vertex form

     = 6(x² - 4x + 4) - 3

     = 6x² - 24x + 24 - 3

f(x) = 6x² - 24x + 21 ← in standard form

4 0
2 years ago
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