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4 years ago

Which is equivalent to

Mathematics

2 answers:

Anna11 [10]4 years ago

6 0

Answer:

Step-by-step explanation:

2^7/2^5 is equal to 4

And 2^2 is also equal to 4

arsen [322]4 years ago

4 0

Answer:

Step-by-step explanation:

You might be interested in

When Yosef was born, his parents put $1000 into a savings account that earns 4%

deff fn [24]

Answer:

$840 interest

Step-by-step explanation:

4% of 1000 is 40

40•21= 840

If you are adding the interest rate and the $1000 together then you get $1840

Hope this helps

7 0

3 years ago

Find the amount of each payment necessary to amortize the following loan.

Sonbull [250]

Use the formula of the present value of annuity ordinary
The formula is
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
Pv present value 84700
Pmt payment per quarter ?
R interest rate 0.10
K compounded quarterly 4
N time 9 years
We need to solve for pmt
Pmt=pv÷ [(1-(1+r/k)^(-kn))÷(r/k)]
Pmt=84,700÷((1−(1+0.10÷4)^(−4
×9))÷(0.10÷4))=3,595.65

Hope it helps

3 0

3 years ago

Use Stokes' Theorem to evaluate S curl F · dS. F(x, y, z) = x2 sin(z)i + y2j + xyk, S is the part of the paraboloid z = 9 − x2 −

Korolek [52]

The vector field

$\vec F(x,y,z)=x^2\sin z\,\vec\imath+y^2\,\vec\jmath+xy\,\vec k$

has curl

$\nabla\times\vec F(x,y,z)=x\,\vec\imath+(x^2\cos z-y)\,\vec\jmath$

Parameterize $S$ by

$\vec s(u,v)=x(u,v)\,\vec\imath+y(u,v)\,\vec\jmath+z(u,v)\,\vec k$

where

$\begin{cases}x(u,v)=u\cos v\\y(u,v)=u\sin v\\z(u,v)=(9-u^2)\end{cases}$

with $0\le u\le3$ and $0\le v\le2\pi$ .

Take the normal vector to $S$ to be

$\dfrac{\partial\vec s}{\partial u}\times\dfrac{\partial\vec s}{\partial v}=2u^2\cos v\,\vec\imath+2u^2\sin v\,\vec\jmath+u\,\vec k$

Then by Stokes' theorem we have

$\displaystyle\int_{\partial S}\vec F\cdot\mathrm d\vec r=\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S$

$=\displaystyle\int_0^{2\pi}\int_0^3(\nabla\times\vec F)(\vec s(u,v))\cdot\left(\dfrac{\partial\vec s}{\partial u}\times\dfrac{\partial\vec s}{\partial v}\right)\,\mathrm du\,\mathrm dv$