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Gnoma [55]
3 years ago
5

Please someone help me, and explain. :)

Mathematics
2 answers:
Misha Larkins [42]3 years ago
4 0
You multiply exponents when ever there is some in parentheses and outside of parentheses 13×3 is 39 therefore it would be seven to the 39th power
enot [183]3 years ago
3 0
(7^{13})^3*7^0=7^{13*3}*1=7^{39}
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KonstantinChe [14]

Answer:

Hence, the sphere has a radius of \sqrt{3}  and is centered at the point (1,-1,1)

Step-by-step explanation:

We have the equation

\rho=2cos\theta cos\phi-2sin\theta sin\phi+2cos\phi

We have to take into account the relation between coordinates

\rho=\sqrt{x^2+y^2+z^2}\\x=\rho cos\theta sin\phi\\y=\rho sin\theta sin\phi\\z= \rho cos\phi

by substituting we have:

\rho=2[\frac{x}{\rho}-\frac{y}{\rho}+\frac{z}{\rho}]\\\\\rho^2=2x-2y+2z\\\\x^2+y^2+z^2=2x-2y+2z

We have to complete squares:

(x^2-2x+1)+(y^2+2y+1)+(z^2-2z+1)-1-1-1=0\\\\(x-1)^2+(y+1)^2+(z-1)^2=3

Hence, the sphere has a radius of \sqrt{3}  and is centered at the point (1,-1,1)

hope this helps!!

4 0
3 years ago
Which function defines the sequence
lora16 [44]
the answer is An=-4n-2
8 0
3 years ago
Write the following in slope intercept form:
BabaBlast [244]
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3 years ago
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Fiesta28 [93]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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Question 1(Multiple Choice Worth 4 points)
ICE Princess25 [194]

The answer would be A) The product of a constant factor of four and a factor with the sum of two terms.

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The second factor, (y + 6), represents a sum of two terms: y and 6.

Therefore, A is the correct answer.

7 0
3 years ago
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