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OverLord2011 [107]
3 years ago
7

Find the sum of the geometric sequence. 1, 1/4, 1/16, 1/64, 1/256

Mathematics
1 answer:
e-lub [12.9K]3 years ago
6 0
Multiply the denominator by 4
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Can you help me solve systems of equations by elimination step by step<br> 6x+y=15<br> -7x-2y=-10
Anna71 [15]

Answer:   (4, -9)

<u>Step-by-step explanation:</u>

Use elimination method.  Manipulate one (or both) equations to eliminate one of the variables and solve for the remaining variable.  <em>I will be eliminating y</em>

6x +  y =  15    → 2(6x +  y =  15)   →   12x + 2y = 30

-7x - 2y = -10   → 1(-7x + 2y = -10)   →  <u> -7x - 2y = -10</u>

                                                             5x        = 20

                                                               x         =  4

Next, replace "x" with "4" into either equation and solve for y.

6(4) + y = 15

24  + y = 15

         y  = -9


<u>Check:</u>

Plug in x = 4 and y = -9 into the other equation to verify it makes a true statement.

-7x - 2y = -10

-7(4) - 2(-9) = -10

-28  -   -18  = -10

-28  +  18 = -10

       -10    =  -10  \checkmark

6 0
3 years ago
What is the division property of exponents?
zavuch27 [327]
<h3>Answer:</h3>

\dfrac{a^b}{a^c}=a^{(b-c)}

<h3>Step-by-step explanation:</h3>

An exponent represents repeated multiplication. For example, ...

... x^3 = x·x·x

... x^2 = x·x

If we divide these, the x's in the denominator cancel an equal number in the numerator:

... (x·x·x)/(x·x) = x

If we represent the repeated multiplication using exponents, we can represent the cancellation by subtraction:

... (x^3)/(x^2) = x^(3-2) = x^1 = x

Once we have this idea in mind that division can be done by subtracting denominator exponents, we can use it regardless of the magnitude or sign of the exponents involved.

7 0
3 years ago
Lee needed to make drapes the length from the floor to the top of the window. The wall beneath the window had the height of 2 2/
nirvana33 [79]
2 2/3 + 2 3/4 is equal to 5 5/12 so the drapes will be 5 5/12 feet long (or 5 feet 5 inches)
3 0
3 years ago
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What do the rates of change represent?
Maurinko [17]

Answer:

total money and time

Step-by-step explanation:

it is how much ramon is saving over time. he starts with 6 dollars, and steadily increases his money

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3 years ago
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