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valentinak56 [21]
3 years ago
7

What is the scale factor written in decimal form?

Mathematics
1 answer:
dusya [7]3 years ago
3 0
Sf=scale/original
sf=14/20
sf=0.7
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Tamiku [17]

Answer:

<h2>      x₁ = - 2 + √2 ,   x₂ = - 2 - √2</h2>

Step-by-step explanation:

3x^2 + 12x + 6 = 0\\\\a=3\,,\ b=12\,,\ c=6\\\\\\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\ x=\dfrac{-12\pm\sqrt{12^2-4\cdot3\cdot6}}{2\cdot3}=\dfrac{-12\pm\sqrt{144-72}}{2\cdot3}=\dfrac{-12\pm\sqrt{72}}{2\cdot3}=\dfrac{-12\pm6\sqrt{2}}{6}\\\\x_1=\dfrac{6(-2+\sqrt{2})}{6}=-2+\sqrt2\\\\x_2=\dfrac{6(-2-\sqrt{2})}{6}=-2-\sqrt2

8 0
3 years ago
How can 26n-7m+4(10n-6m)
Olenka [21]

Answer:

66n-31m

Step-by-step explanation:

26n-7m+4(10n-6m)

26n-7m+40n-24m

66n-31m

3 0
2 years ago
A random sample of 20 purchases showed the amounts in the table (in $). The mean is $49.57 and the standard deviation is $20.28.
son4ous [18]

Answer:

The 98​% confidence interval for the mean purchases of all​ customers is ($37.40, $61.74).

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.98}{2} = 0.01

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.01 = 0.99, so z = 2.325

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

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The lower end of the interval is the mean subtracted by M. So it is 49.57 - 12.17 = $37.40.

The upper end of the interval is the mean added to M. So it is 49.57 + 12.17 = $61.74.

The 98​% confidence interval for the mean purchases of all​ customers is ($37.40, $61.74).

3 0
3 years ago
Zoey buys A new game for $45 there is a 4% tax what will be the final cost of the game
sleet_krkn [62]
Step1. find the how much he buy he buy 45
step2. find the % the % is 4 move to decimal left 4% which is .04
step3. multilply the how much he buy or the % so this is that 45*.04=1.8
step4. what are they said they said tax is like add so we got 1.8+$45=46.8
so the answer is 46.8
look at what is the step and you understand the problem more easy way.
5 0
3 years ago
Late work 4 physics
Oliga [24]

Answer:

Step-by-step explanation:

problem 4

Velocity is +2.0m/s and constant acceleration is -0.5m/s^2

For every second the velocity drop by 0.5 m/s, so after 2 seconds the velocity is  1 m/s.

problem 5

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a constant acceleration of 5.5 m/s^2 it will take 5.09 second

7 0
3 years ago
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