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alexandr402 [8]
3 years ago
12

Evaluate √7x(√x−7√7) please Show your Work thanks.

Mathematics
2 answers:
Veronika [31]3 years ago
8 0

 expand by multiplying <span><span>√<span>7x</span></span>⋅<span>√x</span></span> and <span><span>√<span>7x</span></span>⋅7<span>√7</span></span> 

<span><span>√<span>7x</span></span><span>(<span>√x</span>−7<span>√7</span>)</span>=<span>√<span>7x</span></span>⋅<span>√x</span>−<span>√<span>7x</span></span>⋅7<span>√7</span></span>

<span>You can make√<span>7x</span></span> into <span><span>√7</span>⋅<span>√x</span></span>

<span><span>=<span>√7</span>⋅<span><span>√x</span>⋅<span>√x</span></span>−<span>√7</span>⋅<span>√x</span>⋅7⋅<span>√7</span></span><span>=<span>√7</span>⋅<span><span>(<span>√x</span>)</span>2</span>−<span><span>(<span>√7</span>)</span>2</span>⋅<span>√x</span>⋅7</span></span>

since squaring and square roots are opposite, they cancel

<span><span>=<span>√7</span>⋅x−7⋅<span>√x</span>⋅7</span>=x√7−49√x
I hope the square root symbols worked. I had to copy and paste from word. Hopefully this is what you needed!
</span>
Greeley [361]3 years ago
5 0
Remember
(\sqrt{a})(\sqrt{b})=\sqrt{ab}


first distribute

\sqrt{7x^2}-7\sqrt{49x}=
(\sqrt{x^2})(\sqrt{7})-7(\sqrt{49})(\sqrt{x})=
x\sqrt{7}-7(7)\sqrt{x}=
x\sqrt{7}-49\sqrt{x} is simlified form
to evaluate, we would need a value for x

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The second one is correct
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3 years ago
Researchers found a linear relationship between tail-feather length (in mm) and weight (in g) in a random sample of 20 male long
Dafna11 [192]

Answer:

   

Step-by-step explanation:

As far as I know, this question is not correct. I have the searched the internet and found a similar question which makes sense. In the correct question, 95% Confidence Interval is already given calculated from the software and

<em>95% prediction interval is asked (PI) for the weight of one male long tailed finch weighing 20 g.</em>

We have this data given in the correct question found on internet. And they have calculated this data using software:

New Obs = 20

Fit = 92.34

SE Fit = 5.26

95% Confidence Interval = (81.29, 103.38)

95% Prediction Interval = (67.61, 117.06)

Now, Just look at the prediction interval:

Now the formula for Prediction Interval = Point Estimate ± Margin of Error

Upper limit for prediction interval = 117.06

lower limit = 67.61

Formula for point estimate = (Upper + Lower)/2

Point Estimate = (117.06 + 67.61)/2

Point Estimate = 92.34

Formula for margin of error = (Upper - Lower)/2

Margin of Error = (117.06 - 67.61)/2

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Formula for Prediction Interval = Point Estimate ± Margin of Error

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4 0
3 years ago
Please help me answer this question.
Alex787 [66]
1. Change x = 4t into x = 3t

4t\cdot\frac{3}{4}=3t so

y=(\frac{3}{4}t)^2-1=\frac{9}{16}t^2-1

Answer A and D are wrong.

2. Change x = 4t into x = 2t

4t\cdot\frac{1}{2}=2t and

y=(\frac{1}{2}t)^2-1=\frac{t^2}{4}-1

Answer b is correct.

3.  Change x = 4t into x = 8t

4t\cdot2=8t and

y=(2t)^2-1=4t^2-1

Answer C. is correct, E. is wrong.

7 0
3 years ago
A sprinkler rotates 360 degrees the total are watered is 204yds squared<br> what is the raduius
SIZIF [17.4K]

The radius of the area the sprinkler has watered is 8.06 yards.

<h3>What is Rotation ?</h3>

Rotation is spinning around a fixed point with a fixed radius in circular motions.

It is given that a sprinkler rotates 360 degree

The area watered is 204 sq. yards

Radius = ?

A sprinkler rotates in circle

Therefore the area of the circle = π r²

204 = π r²

204 * 7 /22 = r²

r² = 64.91

r = 8.06 yards

Therefore the radius of the area the sprinkler has watered is 8.06 yards.

To know more about Rotation

brainly.com/question/1571997

#SPJ1

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