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gogolik [260]
3 years ago
10

Which of the following histograms represents this set of data?

Mathematics
1 answer:
Zinaida [17]3 years ago
3 0
The second from the top
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Lowering powers write in terms of first power of cosine. Cos^6
yaroslaw [1]

The main identity you need is the double angle one for cosine:

\cos^2x=\dfrac{1+\cos2x}2

We get

\cos^6x=(\cos^2x)^3=\left(\dfrac{1+\cos2x}2\right)^3=\dfrac{(1+\cos2x)^3}8

Expand the numerator to apply the identity again:

\cos^6x=\dfrac{1+3\cos2x+3\cos^22x+\cos^32x}8

\cos^6x=\dfrac{1+3\cos2x+3\left(\frac{1+\cos2(2x)}2\right)+\cos2x\left(\frac{1+\cos2(2x)}2\right)}8

\cos^6x=\dfrac{1+3\cos2x+\frac32+\frac32\cos4x+\frac12\cos2x(1+\cos4x)}8

\cos^6x=\dfrac5{16}+\dfrac7{16}\cos2x+\dfrac3{16}\cos4x+\dfrac1{16}\cos2x\cos4x

Finally, make use of the product identity for cosine:

\cos2x\cos4x=\dfrac{\cos6x+\cos2x}2

so that ultimately,

\cos^6x=\dfrac5{16}+\dfrac7{16}\cos2x+\dfrac3{16}\cos4x+\dfrac1{32}\cos2x+\dfrac1{32}\cos6x

\cos^6x=\dfrac5{16}+\dfrac{15}{32}\cos2x+\dfrac3{16}\cos4x+\dfrac1{32}\cos6x

4 0
4 years ago
Please help
Ymorist [56]

Part C:

y = total cost

M = minutes


You can talk on the phone only 100 minutes per month

Company A:

y = 0.04M + 5

y = 0.04(100) + 5

y = 4 + 5

y = 9             $9 per month


Company B:

y = 0.10M + 2

y = 0.10(100) + 2

y = 10 + 2

y = 12          $12 per month


Company A offers the best deal because at Company A you have to pay $9 for 100 minutes per month, and at Company B you have to pay $12 for 100 minutes per month, so you have to pay $3 less.


Part D:

1.) With a budget of $30, Company A would allow me to talk longer on the phone. I know this because for Company A, you pay $3 less per month for the same amount of minutes as Company B. This means that I will save more money with Company A, and I can buy more minutes. (something like this)


6 0
3 years ago
Given cscx =-5/2 between 270 and 360 find sin2x
ICE Princess25 [194]
Hello : 
cscx = -5/2
1/sinx =-5/2
sinx=-2/5
sin²x+cos²x=1
4/25+cos²x=25/25
cos²x = 21/25
between 270 and 360 : cosx > 0          cosx=(<span>√21)/5
but : sin2x =2sinx cosx
       sin2x = 2(-2/5)(</span>(√21)/5)
       sin2x = (-4√21)/25
3 0
3 years ago
if every citizen of the U.S. were asked to pitch in an equal amount to pay off the federal debt, each individual would have to p
nadezda [96]
The answer could vary depending on the information your individual lesson is using for the population/debt. However, an answer that should be close (or possibly exact) is $16,527.39 per person.
4 0
4 years ago
Is that right? <br><br> If not please help me out.
Alex73 [517]

Answer:

Yeah.it is right

Step-by-step explanation:

7 0
3 years ago
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