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dmitriy555 [2]
3 years ago
14

If f(x) = x+9 what is f(#)?

Mathematics
1 answer:
alexandr402 [8]3 years ago
7 0
What is #, is it 1, 2, 3??
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Find the slope of the line that passes through (8,9) and (5, 14).​
AleksAgata [21]

Answer:

6/-4   (right 6 points on x-axis & down 4 points on y- axis

Step-by-step explanation:

14- 8            6

---------- =    ------

5-9             - 4

7 0
2 years ago
David has 36 apple and pear trees in his gardens. If he plant 4 more apple trees, he will have the same amount of apple and pear
amm1812

Answer:

16 apples, 20 pears

Step-by-step explanation:

36+4=40

So 40/2= 20 or an even amount of both apples and pears

20-4= 16 ~Original amount of apples

36-16=20 ~Amount of pears

6 0
3 years ago
Josh is painting all the walls in his room that is 3m x 4m and 2.75m high, How much paint in square feet is needed?
pantera1 [17]

Answer:

33

Step-by-step explanation:

3*4*2.75=33

7 0
2 years ago
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
3 years ago
A captain and a co-captain are randomly selected from the 12 members of a fencing team. Determine the probability that Lauren is
Lilit [14]

I'm not 100% sure of this  I think its as follows:-

Prob(Lauren then Isabel picked)  = 1/12 * 1/11 = 1/132 



4 0
3 years ago
Read 2 more answers
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