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vagabundo [1.1K]
3 years ago
7

2) WILL MARK BRAINLIEST + 10 POINTS! :) HAPPY NEW YEAR!~!!!!!!!!!!!

Mathematics
2 answers:
musickatia [10]3 years ago
6 0
Each term is previous term * 1/6  so it converges

Its a Geometric Sequence qith a1 = 60 and common ratio = 1/6

limit  =  a1 / ( 1 - r) =  60 / 5/6 =  72 answer
Annette [7]3 years ago
5 0
We can write the sequence out more fully, as we can see each time it is divided by 6.
60, 60/6, 60/6^2, 60/6^3, and so on.
Therefore we know the sequence can be written as u_n= \frac{60}{6^{n-1}}
You can think of this as a graph, i.e. y=60/6^(x-1)
As a result, as x tends to infinity, y tends to 0 (since it effectively becomes 60/infinity). Therefore the sequence converges toward zero.
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The sum of two segments are 75 cm, and one the segments are four times the other. Calculate the measurement of each segment
iVinArrow [24]

The length of one segment is 15 cm and other segment is 60 cm

Step-by-step explanation:

Let x be the length of one segment and y be the length of other segment

Then according to given statement

x+y=75    Eqn 1

And

one the segments are four times the other

x=4y        Eqn 2

Putting\ x=4y\ in\ equation\ 1

4y+y=75\\5y=75\\Dividing\ both\ sides\ by\ 5\\\frac{5y}{5}=\frac{75}{5}\\y=15\\Putting\ y=15\ in\ eqn\ 2\\x=4(15)\\x=60

Hence,

The length of one segment is 15 cm and other segment is 60 cm

Keywords: Linear Equation, Variables

Learn more about linear equations at:

  • brainly.com/question/3783529
  • brainly.com/question/3799248

#LearnwithBrainly

8 0
3 years ago
Solve, using linear combination.
Bingel [31]

Multiply the first equation by -1 to get  -4x - y = --5

Then add the second equation               3x + y = 3    

                                                           + ____________  

                                                                  -x = -2  or x = 2


then plug in 2 for x in one of the equations and solve for y      4(2) + y = 5  

                                                                                                          8 + y = 5

                           Subtract 8 from both sides                                        y = -3


                             So x = 2, y = -3     or (2,-3)                                  

8 0
3 years ago
Calculate dy/dx<br> You need not expand your answer.<br><br> y=3x^2-9x+13/2x+4 ...?
grandymaker [24]
The solution to the problem is as follows:

The quotient rule is ( f'(x)g(x)-f(x)g'(x) )/ (g(x))^2 {complex written on 1 line I know} 

let f(x)=9x +13 and g(x)=2x+4 
<span>
f'(x)=9 and g'(x)=2 </span>
<span>
therefore just substitute the equations in. </span>
<span>
y'= 6x - ((9(2x+4)-2(9x+13))/((2x+4)^2)) 
</span>

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
8 0
3 years ago
Enter the words as an expression.<br><br> Subtract 15 from 60, then divide by 9.
Andru [333]

Answer:

60-15/9

Step-by-step explanation:

Subtract (-) 15 from 60: 60-15

Divide (/) by 9: 60-15/9

7 0
3 years ago
Read 2 more answers
Distributive Property Using GCF<br><br> 25 + 30
postnew [5]

Hey there! I'm happy to help!

Let's look at the factors of each of these numbers.

25

1,25

5,5

30

1,30

2,15

3,10

5,6

The greatest common factor between these is 5. Therefore, we divide 25+30 by 5 and put the 5 on the outside.

5(5+6).

This has the same value but it is just written differently.

Have a wonderful day! :D

3 0
3 years ago
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