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xenn [34]
2 years ago
14

Write it in an algebraic expression form!

Mathematics
1 answer:
Phoenix [80]2 years ago
7 0
1.

(x/2) - 7 = 11


2.

2x + 7 = 27


3.

2x - 5 = 25




Hope this helped!! (:
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Add then divide.<br> Evaluate<br> (7.3 X 10) + (2.4 X 107)<br> (4 X 104)
Deffense [45]

Answer:

6.0 x 10^2

Step-by-step explanation:

(7.3 X 10) + (2.4 X 10^7)

(4 X 10^4)

= 73 + 24000000

40000

= 24000073

40000

= 6.0 x 10^2

4 0
2 years ago
What was likely the purpose of the Great Enclosure?
dolphi86 [110]
The great enclosure was built to have a surplus population and its religious and administrative activities. There fore the answer would be B since they are trying to protect the population and there religion
8 0
2 years ago
Does the series converge or diverge? If it converges, what is the sum? Show your work. ∑ ∞ n = 1 − 4 ( − 1 / 2 ) n − 1
Mekhanik [1.2K]

Answer:

Step-by-step explanation:

Given the series,

∑ ∞ n = 1 − 4 ( − 1 / 2 ) n − 1

I think the series is summation from n = 1 to ∞ of -4(-1/2)^(n-1)

So,

∑ − 4 ( − ½ )^(n − 1). From n = 1 to ∞

There are different types of test to show if a series converges or diverges

So, using Ratio test

Lim n → ∞ (a_n+1 / a_n)

Lim n → ∞ (-4(-1/ 2)^(n+1-1) / -4(-1/2)^(n-1))

Lim n → ∞ ((-4(-1/2)^(n) / -4(-1/2)^(n-1))

Lim n → ∞ (-1/2)ⁿ / (-1/2)^(n-1)

Lim n→ ∞ (-1/2)^(n-n+1)

Lim n→ ∞ (-1/2)^1 = -1/2

Since the limit is less than 0, then, the series converge...

Sum to infinity

Using geometric progression formula

S∞ = a / 1 - r

Where

a is first term

r is common ratio

So, first term is

a_1 = -4(-½)^1-1 = -4(-½)^0 = -4 × 1

a_1 = -4

Common ratio r = a_2 / a_1

a_2 = 4(-½)^2-1 = -4(-½)^1 = -4 × -½ = 2

a_2 = 2

Then,

r = a_2 / a_1 = 2 / -4 = -½

S∞ = -4 / 1--½

S∞ = -4 / 1 + ½

S∞ = -4 / 3/2 = -4 × 2 / 3

S∞ = -8 / 3 = -2⅔

The sum to infinity is -2.67 or -2⅔

Check attachment for better understanding

3 0
3 years ago
What is the gcf of 92 and 100
Elena-2011 [213]
92= \textcircled{2} \times \textcircled{2} \times 23 \\&#10;100=\textcircled{2} \times \textcircled{2} \times 5 \times 5 \\ \\&#10;GCF(92,100)=\textcircled{2} \times \textcircled{2} =4

The GCF of 92 and 100 is 4.
5 0
3 years ago
Calculate the slope of the line passing through the two colored points below. (1,4) (-1,-1)
leonid [27]

Answer:

Slope = \frac{5}{2}

Step-by-step explanation:

We can define the slope as the "change in y values" divided by the "change in x values".

By change in, we mean, 2nd point MINUS the first point values.

The points given is:

(1,4)  &  (-1,-1)

<u>Change in y value:</u>

-1 - 4 = -5

<u>Change in x value:</u>

-1 -1 = -2

Slope is -5/-2 = 5/2

There is no answer choice. The correct answer is 5/2

6 0
3 years ago
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