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drek231 [11]
3 years ago
6

Use the photo at the bottom:

Mathematics
1 answer:
satela [25.4K]3 years ago
8 0

Answer:

<2 = 129°

Step-by-step explanation:

if I || m then 5x+12 =m<2 and m<2 + 2x + 14 = 180°

2x + 14 + 5x + 12 = 7x + 26 =180°

7x = 154 ➡x = 21°

m <2 = 5×21 + 14

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Estimate to check for reasonables. 306×21​
S_A_V [24]

The answer would be 6,426

Edit

1

306

x21

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6120 then you add 306 x 6120 which is 6426.

4 0
3 years ago
What are the explicit equation and domain for a geometric sequence with a first term of 2 and a second term of −8?
Alexxx [7]
The common ratio in a geometric sequence is the ratio between 2 consecutive terms:

-8/2=-4, 

then the sequence is  2, -8, 32, -128, -512, 2048, ...

let a_n be the nth term of the sequence, then 

a_1= 2
a_2=2(-4)
a_3=2(-4)(-4)=2(-4)^{2}
a_4=2(-4)(-4)(-4)=2(-4)^{3}
.
.
.
so clearly a_n=2(-4)^{n-1}

and, clearly n are integers >0, since we have a 1st term, a second term and so on... of a sequence (we do not have a "zero'th term"!

Answer:

<span>C. an=2(-4)^n-1; all integers where n>0</span>
5 0
4 years ago
(a^-3bc^0)^-2/(ab^3c^4)^5
mr Goodwill [35]

6b6
——— (hope this helps)
ac2
5 0
3 years ago
What is the distance between the following two points?<br> (-5, -1) and (-8, -4)
liberstina [14]
The answer is -3 , -3
5 0
3 years ago
Suppose that your business is operating at the 4.5-Sigma quality level. If projects have an average improvement rate of 50% annu
Luda [366]

Answer:

  11.75 years

Step-by-step explanation:

If we ignore the fact that "6-sigma" quality means the error rate corresponds to about -4.5σ (3.4 ppm) and simply go with ...

  P(z ≤ -6) ≈ 9.86588×10^-10

and

  P(z ≤ -4.5) ≈ 3.39767×10^-6

the ratio of these error rates is about 0.000290372. We're multiplying the error rate by 0.5 each year, so we want to find the power of 0.50 that gives this value:

  0.50^t = 0.000290372

  t·log(0.50) = log(0.00290372) . . . . take logarithms

  t = log(0.000290372)/log(0.50) ≈ -3.537045/-0.301030

  t ≈ 11.75

It will take about 11.75 years to achieve Six Sigma quality (0.99 ppb error rate).

_____

<em>Comment on Six Sigma</em>

A 3.4 ppm error rate is customarily associated with "Six Sigma" quality. It assumes that the process may have an offset from the mean of up to 1.5 sigma, so the "six sigma" error rate is P(z ≤ (1.5 -6)) = P(z ≤ -4.5) ≈ 3.4·10^-6.

Using that same criteria for the "4.5-Sigma" quality level, we find that error rate to be P(z ≤ (1.5 -4.5)) = P(z ≤ -3) ≈ 1.35·10^-3.

Then the improvement ratio needs to be only 0.00251699, and it will take only about ...

  t ≈ log(0.00251699)/log(0.5) ≈ 8.6 . . . . years

5 0
3 years ago
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