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tankabanditka [31]
3 years ago
14

Michelle wants to run a total of 15 miles per week. She runs 3 miles

Mathematics
1 answer:
m_a_m_a [10]3 years ago
8 0

Answer:

Yes because 3x5 is 15

Step-by-step explanation:

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Question 14 (5 points)
Jobisdone [24]
Parallel = same slope
Slope = 1/2
Y = 1/2x + b
Plug in the point
0 = -1/2 + b, b = 1/2
Solution : y = 1/2x + 1/2

The answer is A
3 0
3 years ago
Alex wrote checks on Tuesday for $30 and $40. He also made a deposit in his
Ksivusya [100]

Alex finally had $(x+110) amount of money in his account i.e. He had $100 more then before!

<u>Step-by-step explanation:</u>

Alex wrote checks on Tuesday for $30 and $40. He also made a deposit in his checking account of $180. Let's solve it step by step :

<u>Alex wrote checks on Tuesday for $30 and $40:</u>

Let's suppose Alex initially had x amount of money out of which $30 & $40 is deducted! so left amount of money is $(x-70) .

<u>He also made a deposit in his checking account of $180:</u>

Out of left money $(x-70) , Alex deposited $180 in account so new money = $(x-70) + $180 = $(x+110)

Therefore, Alex finally had $(x+110) amount of money in his account i.e. He had $100 more then before!

6 0
3 years ago
Let f(x,y,z) = ztan-1(y2) i + z3ln(x2 + 1) j + z k. find the flux of f across the part of the paraboloid x2 + y2 + z = 3 that li
Sophie [7]
Consider the closed region V bounded simultaneously by the paraboloid and plane, jointly denoted S. By the divergence theorem,

\displaystyle\iint_S\mathbf f(x,y,z)\cdot\mathrm dS=\iiint_V\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV

And since we have

\nabla\cdot\mathbf f(x,y,z)=1

the volume integral will be much easier to compute. Converting to cylindrical coordinates, we have

\displaystyle\iiint_V\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV=\iiint_V\mathrm dV
=\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}\int_{z=2}^{z=3-r^2}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta
=\displaystyle2\pi\int_{r=0}^{r=1}r(3-r^2-2)\,\mathrm dr
=\dfrac\pi2

Then the integral over the paraboloid would be the difference of the integral over the total surface and the integral over the disk. Denoting the disk by D, we have

\displaystyle\iint_{S-D}\mathbf f\cdot\mathrm dS=\frac\pi2-\iint_D\mathbf f\cdot\mathrm dS

Parameterize D by

\mathbf s(u,v)=u\cos v\,\mathbf i+u\sin v\,\mathbf j+2\,\mathbf k
\implies\mathbf s_u\times\mathbf s_v=u\,\mathbf k

which would give a unit normal vector of \mathbf k. However, the divergence theorem requires that the closed surface S be oriented with outward-pointing normal vectors, which means we should instead use \mathbf s_v\times\mathbf s_u=-u\,\mathbf k.

Now,

\displaystyle\iint_D\mathbf f\cdot\mathrm dS=\int_{u=0}^{u=1}\int_{v=0}^{v=2\pi}\mathbf f(x(u,v),y(u,v),z(u,v))\cdot(-u\,\mathbf k)\,\mathrm dv\,\mathrm du
=\displaystyle-4\pi\int_{u=0}^{u=1}u\,\mathrm du
=-2\pi

So, the flux over the paraboloid alone is

\displaystyle\iint_{S-D}\mathbf f\cdot\mathrm dS=\frac\pi2-(-2\pi)=\dfrac{5\pi}2
6 0
4 years ago
I need help on finding the slope of the lines for number 21?
Step2247 [10]

Answer:

The slope is "Undefined"

Step-by-step explanation:

4 0
3 years ago
DO IT AND YOU GET 50 POINTS BUT IF YOU DO BOTH PAGES YOU GET BRAINLEYIST AWNSER.
jeyben [28]

Answer:

23. a-T b-F

24. Words- *3* times the number of *feet*

     Variable- Let *y* represent the number of *yards*

     Model- (I can't do it)

     Expression- The number of feet in*3* yards is given by the expression *3y*

25. 7.8

26. 8.3

27. 14.5

28. Yes. The communitive property tells us that we can switch any two numbers in a multiplication or addition problem

*I did that page like a month ago*

5 0
3 years ago
Read 2 more answers
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