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Vinvika [58]
3 years ago
6

What is the domain of the function F(x) = 2 cos(3x - 1)?

Mathematics
1 answer:
zimovet [89]3 years ago
3 0

Answer:

All real numbers

Step-by-step explanation:

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Evaluate <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%5E%7B-2%7Dx%5E%7B-3%7Dy%5E%7B5%7D%20%7D" id="TexFormula1" title="\
Irina18 [472]

Answer:

\bf C)\: -\cfrac{1}{32}

Step-by-step explanation:

\tt \cfrac{1}{2^{-2}x^{-3}y^5}

\tt x=2\\y=-4

~

Substitute ''x'' with '2' & 'y' with "-4":-

\tt \cfrac{1}{2^{-2}\times \:2^{-3}\left(-4\right)^5}

First let's solve \tt 2^{-2}\times \:\:2^{-3}\left(-4\right)^5

\tt 2^{-2}\times \:2^{-3}=\boxed{\cfrac{1}{32} }

\tt \cfrac{1}{32}\left(-4\right)^5

Calculate exponents:- -4^5= -1024

\tt \cfrac{1}{32}\left(-1024\right)

Remove parentheses, apply rule:- \tt a\left(-b\right)=-ab

\tt-\frac{1}{32}\times \:1024

\tt \cfrac{1}{32}\times \cfrac{1024}{1}

Apply fraction rule:-

\tt -\cfrac{1\times \:1024}{32\times \:1}

\tt \cfrac{1024}{32}

Divide numbers:-

\tt -32

Now that we're done factoring the denominator let's bring down the numerator which is ' 1 ':-

\tt -\cfrac{1}{32}\;\; \bf Answer

<u>☆-------☆-------☆-------☆</u>

3 0
2 years ago
Read 2 more answers
Ok serous question this has nothing to do with my other questions would you guys care if I committed ya know
Pani-rosa [81]

Answer:

I don't know you but I care. I am always here to talk. For real I don't have a life. Lol

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
quezlet: A survey of​ third- to​ twelfth-grade students with a sample size of 2026 found that they devoted an average of 1 hour
Maurinko [17]

Answer:

Population is all students from grades 3-12.

Sample is the students who participated in the survey.

Step-by-step explanation:

Given : A survey of​ third- to​ twelfth-grade students with a sample size of 2026 found that they devoted an average of 1 hour and 46 minutes per day to using entertainment media.

To find : Identify the population and the sample.

Solution :

The population is defined as it contain all individuals which we want to collect the information.

So, the population consists of all third- to twelfth grade students.

Therefore, Population is all students from grades 3-12.

The sample is defined as a part of population of which information was actually collected.

So, the sample is only the respondents in the survey conducted in 2026.

Therefore, Sample is the students who participated in the survey.

6 0
4 years ago
Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hy
Serjik [45]

*See attachment for the diagram

Answer:

Tan 60 = √3

Step-by-step explanation:

Recall: SOHCAHTOA

Thus,

Tan 60 = Opp/Hyp

From the diagram given,

Opp = YZ = ?

Hypotenuse = XY = 42

Find the length of YZ using Pythagorean Theorem:

YZ = √(42² - 21²) = √1,323

YZ = √(441 × 3) = 21√3

✔️Find Tan(60):

Tan 60 = Opp/Hyp = YZ/XY

Tan 60 = (21√3)/21

Tan 60 = √3

5 0
3 years ago
Read 2 more answers
Which of the following gives all of the coefficients of the algebraic expression -2x2 + 17 -15x + 7xy?
Stels [109]
The answer is -15, -2,7
3 0
3 years ago
Read 2 more answers
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