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geniusboy [140]
3 years ago
8

Evaluate (2/3)^4 enter your answer by filling in the boxes

Mathematics
1 answer:
QveST [7]3 years ago
7 0

Answer:

\frac{16}{81}

Step-by-step explanation:

(\frac{2}{3})^4\\\rule{150}{0.5}\\\text{Note the exponent rule: } (\frac{a}{b})^c =\frac{a^c}{b^c}\\\rule{150}{0.5}\\ (\frac{2}{3})^4\\\\\frac{2^4}{3^4}\\\\\boxed{\frac{16}{81} }

Hope this helps.

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URGENT!!! PLEASE LOOK AT THE PICTURE!!! PLEASE HELP!!!!
Svetllana [295]

Answer:

Step-by-step explanation:

this is a 45-45-90 triangle.  The angle opposite the 45° angle is also 45°.

HI = HJ because this is an isosceles triangle.

Use the cos function to find the length of HJ:

cos Ф = adj / hyp  or  adj = (hyp)(cos Ф).

                                                                                        1

Here we have  adj  = HI = HJ = 4√5 cos 45° = 4√5 · -----

                                                                                       √2, or 4√5 / √2

                                              4√10

This last result simplifies to ----------

                                                   2

or 2√10 (answer)

The length of side HJ and that of HI is 2/√10.

7 0
4 years ago
What is 12 X -19 equals 5X -5
Anettt [7]

Answer:

Step-by-step explanation:12x=5x+14, 7x=14,

x=2

5 0
3 years ago
Solve the inequality. 7x − 9 > 2x + 6
Flura [38]
<h3><u>The value of x is greater than the value of 3.</u></h3>

We can treat inequalities like standard algebraic equations.

7x - 9 > 2x + 6

<em><u>Add 9 to both sides.</u></em>

7x > 2x + 15

<em><u>Subtract 2x from both sides.</u></em>

5x > 15

<em><u>Divide both sides by 5.</u></em>

x > 3

7 0
4 years ago
Read 2 more answers
In your own words, describe the steps you take to round a decimal.
lys-0071 [83]
First find which value you would like to round up or down

second if the number is less than five round down, if the number is more than five round up

hope this helps
4 0
3 years ago
Read 2 more answers
The data below shows the minimum wage requirement of the u.s government in years,x, after 1960. Based on the data provided what
mixas84 [53]

Answer:

<em>Option c</em>

Step-by-step explanation:

<u>Best Fit Regression Model </u>

When experimental data is collected, scientists frequently ask themselves if there is a relationship between some of the variables under study. It's crucial in modern times where artificial intelligence technology is trying to find key answers where traditional approaches hadn't before.

One of the most-used tools to find relations between variables is the regression model and its best fit lines to try to find an expression who relates variable x (years from 1960) and variable y (minimum wage requirement) as of our case.

The provided data was entered into a digital spreadsheet and an automatic function was applied to find the best-fit model.

We found this equation:

y=0.11363x+0.6906

when rounded to three decimal places, we find

y=0.114x+0.691

Which corresponds to the option c.

7 0
3 years ago
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