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Alecsey [184]
2 years ago
14

Evaluate log1∕6 36. please help

Mathematics
1 answer:
Sholpan [36]2 years ago
4 0

\log_{\tfrac 16}   36 \\\\\\=\dfrac{\ln 36}{ \ln \left(\tfrac 16\right)}\\\\\\=\dfrac{ \ln 6^2}{\ln (6^{-1})}\\\\\\=\dfrac{2 \ln 6}{-1 \ln 6}\\\\= - 2

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Solve. Write the solution in interval notation. -2x>-8 and -5x<20.
Novosadov [1.4K]

Answer:

The interval notation of the solution is (-4 , 4)

Step-by-step explanation:

* Let us explain a very important point in solving inequality

- When you multiply or divide an inequality by negative number we

   must reverse the symbol of the inequality

- Ex:

∵ 2 < 3

- If we multiply the both sides of the inequality by -1, then the

  inequality will be -2 < -3 and this is completely wrong, so we must

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∴ -2 > -3

* Now let us solve the problem

∵ -2x > -8

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∴ x < 4

∵ -5x < 20

- Divide both sides by -5 and remember to reverse the symbol of the

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∴ x > -4

- From both solutions

∴ -4 < x < 4

∴ The solution is {x : -4 < x < 4}

- Interval notation is a way of writing the solutions of inequalities

 ( , ) if x does not equal the end numbers

 [ , ] if x equals the end numbers

 [ , ) , ( , ] if x equals one of the two end numbers

* The interval notation of the solution is (-4 , 4)

4 0
3 years ago
Write an equation of the ellipse with foci at (0,+12) and vertices at (0,+13)
nekit [7.7K]
 To solve this problem you must apply the proccedure shown below:
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 2. You have the distance from the center of the ellipse to the focus:
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 3. Therefore, the equation is:
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6 0
3 years ago
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PtichkaEL [24]

Answer:

Step-by-step explanation:

6 < 2 1/2 + 1 1/3R

3 0
2 years ago
20% of a spring basket is peeps. There are 8 peeps. What is the total number of items in the basket?
murzikaleks [220]
8*100=20*x
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I tried and now i need help
Svetradugi [14.3K]
I'm guessing the answer is B? I tried to isolate r and I got that result. Sorry if it's wrong!
3 0
3 years ago
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