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ankoles [38]
3 years ago
13

How do you simplify Radicals?√180v^4​

Mathematics
1 answer:
julsineya [31]3 years ago
7 0

Here are the steps required for Simplifying Radicals:

Step 1: Find the prime factorization of the number inside the radical. Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Also factor any variables inside the radical.

Step 2: Determine the index of the radical. The index tells you how many of a kind you need to put together to be able to move that number or variable from inside the radical to outside the radical. For example, if the index is 2 (a square root), then you need two of a kind to move from inside the radical to outside the radical. If the index is 3 (a cube root), then you need three of a kind to move from inside the radical to outside the radical.

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. If there are nor enough numbers or variables to make a group of two, three, or whatever is needed, then leave those numbers or variables inside the radical. Notice that each group of numbers or variables gets written once when they move outside the radical because they are now one group.

Step 4: Simplify the expressions both inside and outside the radical by multiplying. Multiply all numbers and variables inside the radical together. Multiply all numbers and variables outside the radical together.

Shorter version:

Step 1: Find the prime factorization of the number inside the radical.  

Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.  

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.  

Step 4: Simplify the expressions both inside and outside the radical by multiplying.

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At a sale this week, a desk is being sold for $336. This is a 36% discount from the original price.
8090 [49]

Answer:

$525

Step-by-step explanation:

We can find the original price by using the formula x - 0.36x = 336, where x is the original price, 0.36 is the discount percentage (converted to decimal form), and 336 is the total amount paid after the discount is applied:

x-0.36x=336\\0.64x=336\\x=525

To check and further understand why the formula works, we can simply apply the discount to the original price and subtract the number from the original price:

525 * 0.36 = 189

525 - 189 = 336

Modeling the first formula gives us:

525 - (0.36 * 525) = 336

525 - 189 = 336

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1 year ago
Check whether 7+3x is a factor of 3x^3+7x
BartSMP [9]

Answer:

no

Step-by-step explanation:

refer to picture for solution

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Which of the following is true about the 1920s? Only two correct answers
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Answer: A. Women began to work outside the home

Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
Use the graphing tool to create a histogram of Gretchen’s data. Use eight bins for your histogram.
lozanna [386]

The number of bins in the histogram determines the width of the bins and

the frequency (number of members) in a bin.

  • Please find attached the graph of the histogram of Gretchen's data created with MS Excel.
<h3 /><h3>Method used to create the histogram of Gretchen's data</h3>

Given:

The table from  Gretchen's data is presented as follows;

\begin{tabular}{|c|c|} \underline{ Member}& \underline{Number of Days}\\x_1&2\\x_2&4\\x_3&7\\x_4&8\\x_5&12\\x_6&15\\x_7&10\\x_8&7\\x_9&9\\x_{10}&6\\x_{11}&13\\x_{12}&3\\x_{13}&8\\x_{14}&10\\x_{15}&10\end{array}\right]

The required number of bins = 8 bins

The steps to create the histogram using MS Excel;

  • Enter the 15 dataset for the number of days as presented in the above table in a column on the worksheet.

  • Select the dataset entered into the cells from above then select the Insert menu.

  • In the Chart section of the insert menu click on the Histogram icon to view the quick options for histograms type charts.

  • Select the Histogram option from the drop down menu from the quick options for histograms, to create an histogram chart.

  • Right-click the histogram created from the previous step, then select Format Chart Area from the pop up menu.

  • In the Format Chart Area task pane, click on the arrow next to Chart Options, then select Horizontal Axis from the options menu.

  • Click on the histogram icon under Axis Options, then click on arrow button besides Axis Option sub menu, to display the axis options.

  • Click on the Number of bins radio button then enter 8, to create an histogram having 8 bins.

The histogram of Gretchen's data having eight bins created with MS Excel is attached.

Learn more about creating a histogram chart here:

brainly.com/question/25069221

brainly.com/question/4601962

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2 years ago
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