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dexar [7]
3 years ago
9

50point for answer + brainliest

Mathematics
2 answers:
astraxan [27]3 years ago
7 0

Answer:

a, 4 the power of 3

b,3 the power of 12

c, 5 the power of 31

Step-by-step explanation:

a. prime factorization of 64 is 4^3

b. 2.6=12 so  it became 3^12

c. prime factorization of 125 is 5^3 then 7.4 =28

so 5^3 . 5^28 = 5^31

DIA [1.3K]3 years ago
5 0

Answer:

a) 4³ = 4×4×4 = 64

so answer is 4³

b) (3²)⁶ = 3²×⁶

= 3¹²

so answer is 3¹²

c) 125 = 5³

(5⁴)⁷ = 5²⁸

= 5³ × 5²⁸

= 5³¹

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A car weighs 2332 pounds. If 372 pounds of old parts are removed and replaced with 412 pounds of new parts, find new weights of
Makovka662 [10]

Answer:

2372

Step-by-step explanation:

You would do the equation 2332-372+412

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3 years ago
How do you use a number line to solve 235+123
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G verify that the divergence theorem is true for the vector field f on the region
Alenkasestr [34]
\mathbf f(x,y,z)=\langle z,y,x\rangle\implies\nabla\cdot\mathbf f=\dfrac{\partial z}{\partial x}+\dfrac{\partial y}{\partial y}+\dfrac{\partial x}{\partial z}=0+1+0=1

Converting to spherical coordinates, we have

\displaystyle\iiint_E\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV=\int_{\varphi=0}^{\varphi=\pi}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=0}^{\rho=6}\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=288\pi

On the other hand, we can parameterize the boundary of E by

\mathbf s(u,v)=\langle6\cos u\sin v,6\sin u\sin v,6\cos v\rangle

with 0\le u\le2\pi and 0\le v\le\pi. Now, consider the surface element

\mathrm d\mathbf S=\mathbf n\,\mathrm dS=\dfrac{\mathbf s_v\times\mathbf s_u}{\|\mathbf s_v\times\mathbf s_u\|}\|\mathbf s_v\times\mathbf s_u\|\,\mathrm du\,\mathrm dv
\mathrm d\mathbf S=\mathbf s_v\times\mathbf s_u\,\mathrm du\,\mathrm dv
\mathrm d\mathbf S=36\langle\cos u\sin^2v,\sin u\sin^2v,\sin v\cos v\rangle\,\mathrm du\,\mathrm dv

So we have the surface integral - which the divergence theorem says the above triple integral is equal to -

\displaystyle\iint_{\partial E}\mathbf f\cdot\mathrm d\mathbf S=36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}\mathbf f(x(u,v),y(u,v),z(u,v))\cdot(\mathbf s_v\times\mathbf s_u)\,\mathrm du\,\mathrm dv
=\displaystyle36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}(12\cos u\cos v\sin^2v+6\sin^2u\sin^3v)\,\mathrm du\,\mathrm dv=288\pi

as required.
3 0
4 years ago
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Tresset [83]

Answer:

336

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5 0
3 years ago
Read 2 more answers
What is the pattern as the exponents decrease?
qwelly [4]

Answer:

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Step-by-step explanation:

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3 0
2 years ago
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