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denis-greek [22]
3 years ago
15

You are finding the product of two square roots. Each radicand is the same variable raised to an odd power. Explain why you woul

d want to multiply the radicands together first and then simplify the product.
Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
8 0
Multiplying the two same variables will combine them into one variable of an even power. (odd number + odd number = even number)
Then the square root (even root/radicand) can be taken eliminating the radicand.

Here's an example to show you what I mean, so you can put it in your own words if you want.

\sqrt{ x^{3} } *  \sqrt{ x^{7} } =  \sqrt{ x^{10} } =  x^{5}

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What is the slope of the line described by the equation –4x + 6y = 12?
tino4ka555 [31]
The slope of the equation is 4
6 0
3 years ago
The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 ci
Olenka [21]

Answer:

The correct answer is

(0.0128, 0.0532)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

In a random sample of 300 circuits, 10 are defective. This means that n = 300 and \pi = \frac{10}{300} = 0.033

Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool.

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 - 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0128

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 + 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0532

The correct answer is

(0.0128, 0.0532)

4 0
3 years ago
Help with these 3 please! BIG POINTS!
sesenic [268]

Answer:

26. 14 sq.units

27. I think it's near to be 30

28. I think it is the first one

8 0
3 years ago
Read 2 more answers
How can you use Recipes B and D to create recipe E?
Artyom0805 [142]
1.) add
2.) and

If you look at the chart you can see when you add B and D it equals E, therefore your answer is add.
4 0
3 years ago
Can you form a triangle with the following segments 6,5,3?
LenaWriter [7]

Answer:

yes

Step-by-step explanation:

the sum of any two sides must be greater than the length of the remaining side in order to be able to form a triangle.

5+3=8

3+6=9

6+5=11

Hope this helps. Have a nice day. May it be filled with joy and happiness. Please, stay safe and wash your hands/wear a mask when in public. Happy Holidays.

4 0
3 years ago
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