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ki77a [65]
4 years ago
14

Jason of the sister Monica $15 Monica has a $10 bill in her pocket explain the meaning of zero in the situation

Mathematics
2 answers:
pochemuha4 years ago
7 0
Monica will owe Jason $5
Savatey [412]4 years ago
4 0
He will own her $5

-$15 - $10 = -5
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Rewrite the expression 18+30=
LuckyWell [14K]
30+18 or 1x48 or 2x24 or 3x16 or 4x 12 or 6x8
8 0
3 years ago
Evaluate the surface integral:S
rjkz [21]
Assuming S does not include the plane z=0, we can parameterize the region in spherical coordinates using

\mathbf r(u,v)=\left\langle3\cos u\sin v,3\sin u\sin v,3\cos v\right\rangle

where 0\le u\le2\pi and 0\le v\le\dfrac\pi/2. We then have

x^2+y^2=9\cos^2u\sin^2v+9\sin^2u\sin^2v=9\sin^2v
(x^2+y^2)=9\sin^2v(3\cos v)=27\sin^2v\cos v

Then the surface integral is equivalent to

\displaystyle\iint_S(x^2+y^2)z\,\mathrm dS=27\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\pi/2}\sin^2v\cos v\left\|\frac{\partial\mathbf r(u,v)}{\partial u}\times \frac{\partial\mathbf r(u,v)}{\partial u}\right\|\,\mathrm dv\,\mathrm du

We have

\dfrac{\partial\mathbf r(u,v)}{\partial u}=\langle-3\sin u\sin v,3\cos u\sin v,0\rangle
\dfrac{\partial\mathbf r(u,v)}{\partial v}=\langle3\cos u\cos v,3\sin u\cos v,-3\sin v\rangle
\implies\dfrac{\partial\mathbf r(u,v)}{\partial u}\times\dfrac{\partial\mathbf r(u,v)}{\partial v}=\langle-9\cos u\sin^2v,-9\sin u\sin^2v,-9\cos v\sin v\rangle
\implies\left\|\dfrac{\partial\mathbf r(u,v)}{\partial u}\times\dfrac{\partial\mathbf r(u,v)}{\partial v}\|=9\sin v

So the surface integral is equivalent to

\displaystyle243\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\pi/2}\sin^3v\cos v\,\mathrm dv\,\mathrm du
=\displaystyle486\pi\int_{v=0}^{v=\pi/2}\sin^3v\cos v\,\mathrm dv
=\displaystyle486\pi\int_{w=0}^{w=1}w^3\,\mathrm dw

where w=\sin v\implies\mathrm dw=\cos v\,\mathrm dv.

=\dfrac{243}2\pi w^4\bigg|_{w=0}^{w=1}
=\dfrac{243}2\pi
4 0
3 years ago
Z is less than 2 and equal to or less than 8 intersection​
insens350 [35]

Less than 2 = z < 2

Less than or equal to 8 = z ≤ 8

z ≤ 8

z < 2

8 0
3 years ago
The function below describes the number of students who enrolled at a university, where f(t) represents the number of students a
dem82 [27]

Answer:

18,500  , 1 , 1.03

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

f(t) =18,500(1.03)^t  

1st blank:

19,055

1.03

3

18,500

2nd blank:

t years

2 years

3 years

1 year

3rd blank:

19,055

3

18,500

1.03

My answer:

Given that:  f(t) =18,500*1.03^{t}

1st blank:

Initial value when t = 0, so we have:

f(0) =18,500*1.03^{0}

f(0) =18,500(1)\\ f(0) =18,500

So we choose D for 1st blank

2nd and 3rd blank:

Because it's an exponential function f(t) =18,500*1.03^{t}  , with every value of t increment f(t) increase by a factor of 1.03 . So  Every  1 year the number of students who enroll at the university increases by a factor of 1.03

=> 2nd blank: 1

=> 3rd blank: 1.03

Hope it will find you well.

6 0
3 years ago
PleaSe help!!! &amp; explain
mafiozo [28]
A) arithmetic because it is a constant. E.g 5-2 is 3 and this is true through out the series

B) this is geometric because the ratio is constant. The ratio of each is 3. E.g 81/27= 3 and this is true through out the series

C) arithmetic because it is constant. 11-3= 8, and 8 is the answer through out the series

5 0
3 years ago
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