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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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An augmented matrix for a system of linear equations in x, y, and z is given. Find the solution of the system.
Angelina_Jolie [31]

Answer:

  (x, y, z) = (-4, 2, 1)

Step-by-step explanation:

See the attachment for the output of a calculator that produces the reduced row-echelon form of the matrix.

The [x, y, z] result vector is the column on the right.

  (x, y, z) = (-4, 2, 1)

_____

Numerous web sites are available for computing the row-reduced form of the matrix, or for solving the system of equations. Your graphing calculator will do it as well.

8 0
3 years ago
Solve the following word problem using two variables. Show each step of your work.
masha68 [24]

Answer:

John is 16 and Maya is 11

Step-by-step explanation:

x=Maya's age

x+5=John's age

x+x+5=27

2x+5=27

     -5   -5

2x=22

/2    /2

x=11

x+5=

11+5= 16

7 0
3 years ago
Write a rational function that meets the following criteria:
Sliva [168]
You can get a vertical asymptote at x=1 using y = 1/(x-1)
You can generate a hole at x=3 by multiplying by (x - 3/(x - 3) which is undefined at x=3 but otherwise equals 1
You can move the horizontal asymptote up to y=2 by adding 2

y = (x - 3)/((x - 1)(x - 3)) + 2
5 0
3 years ago
How can Diego package all the 64 cookies so that each bag has the same number of them? How many bags can we make and how many co
anygoal [31]

Answer:

  see below

Step-by-step explanation:

There are 7 divisors of 64. Each represents a possible number of bags of cookies:

  • 1 bag of 64 cookies
  • 2 bags of 32 cookies
  • 4 bags of 16 cookies
  • 8 bags of 8 cookies
  • 16 bags of 4 cookies
  • 32 bags of 2 cookies
  • 64 bags of 1 cookie
5 0
3 years ago
Omar wants to purchase a bike helmet for 22.55 and a bike for 134.45.
noname [10]

Answer:

$169.96 dollars

Step-by-step explanation:

Given the following questions:

8.25% of 22.55 and 134.45

In order to find the answer, we will have to add the initial costs of the items together, then we will calculate using the formula for percentages to find the tax rate.

22.55+134.45=157
157

<u>Calculate the percentage:
</u>\frac{p\times c}{100}
\frac{8.25\times157}{100} =8.25\times157=1295.25\div100=12.9525
=12.9525
12.9525
2 < 5
=12.96

<u>Add the sales tax:</u>
157+12.96=169.96
=169.96

Which means the two items along with an 8.25% sales tax costs "$169.96 dollars."

Hope this helps.

5 0
2 years ago
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