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3 years ago

7

there are 32 pets at pet store .there are 3 times as many mammals as reptiles in store.. how many reptiles are there at the pat

store

1 answer:

mr_godi [17]3 years ago

7 0

Well i would do this 32*3=96 but not sure.

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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

Whats the answer ii need help

olchik [2.2K]

Answer:

Yes, It is possible for two numbers to have a difference of 8, and a sum of 1.

I hope this helps:)

3 0

3 years ago

Read 2 more answers

(Recall: 2.20 Ib. ~ 1 kg. ) Ib. ~ 14 kg.)

4vir4ik [10]

Since 2.20 lb is equal to 1 kg then 14 kg is equal to 30.8 lb

6 0

4 years ago

WILL MARK BRAINLIEST AND WORTH 30 POINTS

BabaBlast [244]

Answer:

The growth factor of <em>f(x)</em> is <em>less</em><em> </em><em>than</em><em> </em>the growth factor of <em>g(x)</em>.

Explanation:

$\displaystyle g(x) = 3(4)^x \\ \\ f(x) = 4(3)^x$

<em>x</em><em> </em> | <em>f(x)</em>

_____

0 | 4

1 | 12

2 | 36

You can tell because the <em>g</em><em>(</em><em>x</em><em>)</em><em> </em>function is multiplying by 4, while the <em>f</em><em>(</em><em>x</em><em>)</em><em> </em>function is multiplying by 3.

I am joyous to assist you anytime.

5 0

4 years ago

Solve the absolute value equation: |x|=8

vampirchik [111]

Answer:

x = 8, -8

When taking an absolute value the sign of a number is ignored. Therefore, both 8 and -8 would come out equalling 8.

3 0

3 years ago