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Mrac [35]
2 years ago
14

B is the midpoint of a segment AC. AB = 5x, BC = 3x+4 Find x, AB, BC, and AC.

Mathematics
1 answer:
Shalnov [3]2 years ago
5 0

Given below is the answer

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Find the sum of the convergent series 7 0.7 0.007
mafiozo [28]
7+0.7+0.007+\cdots=7\left(1+\dfrac1{10}+\dfrac1{100}+\cdots\right)

Let S_n denote the nth partial sum of the series, i.e.

S_n=1+\dfrac1{10}+\dfrac1{100}+\cdots+\dfrac1{100^n}

Then

\dfrac1{10}S_n=\dfrac1{10}+\dfrac1{100}+\dfrac1{1000}+\dfrac1{10^{n+1}}

and subtracting from S_n we get

S_n-\dfrac1{10}S_n=\dfrac9{10}S_n=1-\dfrac1{10^{n+1}}
\implies S_n=\dfrac{10}9\left(1-\dfrac1{10^{n+1}}\right)

As n\to\infty, the exponential term vanishes, leaving us with

\displaystyle\lim_{n\to\infty}S_n=\dfrac{10}9

and so

7+0.7+0.007+\cdots=7.777\ldots=\dfrac{70}9
3 0
3 years ago
Guy's y'all plzz answer this who knows about it...and also exam is near​
Yanka [14]

Answer:

Step-by-step explanation:

Okay so I will explain the first one.

2 to the power of 4 = 2x2x2x2

2 to the power of 6 = 2x2x2x2x2x2

2 to the power of 4 = 2x2x2x2

2^4 = 16

2^6 = 64

When you are multiplying powers you add.

+

When you subtract you takeaway.

-

So you would do

4+6+4

= 14

Meaning 2 to the power of 14

2x^{14}

So what is 2 to the power of 14.

You would do

2x2x2x2x2x2x2x2x2x2x2x2x2x2

The answer is 16384

You can also use a calculator

GOOD LUCK FOR YOUR TEST!

7 0
3 years ago
Solve S=2(lw + lh + wh) for w
vovikov84 [41]
Dividing by 2, we have S/2=lw+lh+wh. After that, we subtract lh from both sides to get S/2-lh=lw+wh. Next, we divide both sides by w to get (S/2)/w=l+h. Next, we divide by S/2 to get 1/w=(l+h)/(S/2). Lastly, we multiply by w and divide by (l+h)/(S/2)  to get w=(S/2)/(l+h)
7 0
3 years ago
Read 2 more answers
4: 15^0=? <br><br> a:0 (my answer) <br> b:1 <br> c:15 <br> d:1/15
mario62 [17]
Any number raised to the power of 0 is 1.
Therefore, 15^0 = 1
8 0
3 years ago
Anyone know what these two questions are? the subject is scientific notation
tatiyna

Answer:

1. The negative sign on an exponent means the reciprocal. A negative exponent tells how many times to divide a base number.

2. A positive tells how many times to multiply a base number.

could you also give me a brainliest if I am correct.

thanks!

3 0
3 years ago
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