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Tema [17]
2 years ago
10

What is the range of y equals log 8 x

Mathematics
1 answer:
azamat2 years ago
4 0

Answer:

  (-∞, ∞)

Step-by-step explanation:

The range of any log function is <em>all real numbers</em>.

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If sin(x) = 5/13, and x is in quadrant 1, then tan(x/2) equals what?
Rufina [12.5K]
x is in quadrant I, so 0, which means 0, so \dfrac x2 belongs to the same quadrant.

Now,

\tan^2\dfrac x2=\dfrac{\sin^2\frac x2}{\cos^2\frac x2}=\dfrac{\frac{1-\cos x}2}{\frac{1+\cos x}2}=\dfrac{1-\cos x}{1+\cos x}

Since \sin x=\dfrac5{13}, it follows that

\cos^2x=1-\sin^2x\implies \cos x=\pm\sqrt{1-\left(\dfrac5{13}\right)^2}=\pm\dfrac{12}{13}

Since x belongs to the first quadrant, you take the positive root (\cos x>0 for x in quadrant I). Then

\tan\dfrac x2=\pm\sqrt{\dfrac{1-\frac{12}{13}}{1+\frac{12}{13}}}

\tan x is also positive for x in quadrant I, so you take the positive root again. You're left with

\tan\dfrac x2=\dfrac15
4 0
3 years ago
Simplify Which of the following is correct?
aalyn [17]

The difference between mixed numbers gives:

-5¹/₆ - (-8¹/₂) = 3¹/₃

So the correct option is the third one.

<h3 /><h3>How to get the difference between mixed numbers?</h3>

Here we want to compute the difference between two mixed numbers.

First, remember that we can rewrite those as:

-5¹/₆ = (-5 - 1/6)

-8¹/₂ = (-8 - 1/2)

Now, let's go to the difference:

-5¹/₆ - (-8¹/₂)

First you can see that there are two negative signs together, so it is equivalent to a positive sign:

-5¹/₆ - (-8¹/₂) = -5¹/₆  + 8¹/₂

Now we can replace the mixed numbers to get:

-5¹/₆  + 8¹/₂ = (-5 - 1/6) + (8 + 1/2) = (8 - 5) + (1/2 - 1/6) = (3 + 2/6) = 3 + 1/3

And that can be rewritten to:

3 + 1/3 = 3¹/₃

Which is completely simplified.

So we conclude that the correct option is the third one, counting from the top.

If you want to learn more about mixed numbers:

brainly.com/question/1746829

#SPJ1

6 0
1 year ago
Please help,,, will give brainliest and five stars to correct answer
Zigmanuir [339]
Second option is the correct one.
-24, -96, -384, -1536, -6144, -24576
4 0
3 years ago
Read 2 more answers
Determine if the number is written in scientific notation. if not explain 5.6 x 10^12
Illusion [34]
The <u>correct answer</u> is C) yes, the answer is written in scientific notation.

Explanation:

In scientific notation, we have a decimal number multiplied by a power of 10.  The decimal number has the decimal point behind the first non-zero digit, and the exponent on the power of 10 tells us how many places to move the decimal.

In this problem, we have 5.6, which has the decimal after the first non-zero digit.  We also have 10¹², which tells us to move the decimal 12 places.

This is in scientific notation.
3 0
3 years ago
Read 2 more answers
So the problem I got was "Ben is splitting 2 quarts of icecream with 9 members of the team. If the icecream is split evenly how
posledela

Answer:

8/9 of a cup

Step-by-step explanation:

8 cups of icecream to be divided among 9 people, so they can't have full cups.

Each person will get 8/9 of a cup

4 0
3 years ago
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