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3 years ago

The expanded form of 128,005

Mathematics

1 answer:

sveticcg [70]3 years ago

5 0

Answer:

(100,000 x 1) + (10,000 x 2) + (1,000 x 8) + ( 1 x 5)

Step-by-step explanation:

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Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 6z) k C is the line segment from (2, 0, −2) to (5, 4, 2) (a) Find a fun

WITCHER [35]

Answer:

Required solution (a) $f(x,y,z)=xyz+3z^2+C$ (b) 40.

Step-by-step explanation:

Given,

$F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k$

(a) Let,

$F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k=f_x \uvec{i} +f_y \uvex{j}+f_z\uvec{k}$

Then,

$f_x=yz,f_y=xz,f_z=xy+6z$

Integrating $f_x$ we get,

$f(x,y,z)=xyz+g(y,z)$

Differentiate this with respect to y we get,

$f_y=xz+g'(y,z)$

compairinfg with $f_y=xz$ of the given function we get,

$g'(y,z)=0\implies g(y,z)=0+h(z)\implies g(y,z)=h(z)$

Then,

$f(x,y,z)=xyz+h(z)$

Again differentiate with respect to z we get,

$f_z=xy+h'(z)=xy+6z$

on compairing we get,

$h'(z)=6z\implies h(z)=3z^2+C$ (By integrating h'(z)) where C is integration constant. Hence,

$f(x,y,z)=xyz+3z^2+C$

(b) Next, to find the itegration,

$\int_C \vec{F}.dr=\int_C \nabla f. d\vec{r}=f(5,4,2)-f(2,0,-2)=(52+C)-(12+C)=40$

3 0

2 years ago

What is the equivalent decimal to this fraction? 10/45 0.2 0.222222222... 0.232323232323... 0.181818181818...

Ivan

Factorize the numerator and denominator, then simplify:

10/45 = (2×5)/(9×5) = 2/9

Now,

1/9 = 1/10 + 1/90

1/90 = 1/10 × 1/9 = 1/10 × (1/10 + 1/90) = 1/100 + 1/900

1/900 = 1/100 × 1/9 = 1/100 × (1/10 + 1/90) = 1/1000 + 1/9000

and so on, which is to say

1/9 = 1/10 + 1/100 + 1/1000 + …

1/9 = 0.111…

so that multiplying both sides by 2 gives

2/9 = 0.222…

5 0

1 year ago

Can someone help me with this question

Doss [256]

Answer:

Step-by-step explanation:

For any prism or cylinder for that matter, you can find the volume by multiplying the area of the base times the height. So this problem just becomes simple algebra.

B * h = V

25 * h = 80

h = 80/25

h = 3.2

If you don't get why it's the area of the base let me know and I can try to explain it.

4 0

2 years ago

Can someone help me on this question? I Just need help with the 3rd question. Use the word bank below to answer. I’ll mark you b

lord [1]

Answer:

Transitive property

Step-by-step explanation:

I'm so sorry if it's wrong I took geo last year online and I still hated proofs. Transitive property is basically when x=y, y=z so x=z. since <4 and <5 are congruent and <1 and <4 are congruent, that would make <1 and <5 congruent because of the transitive property. Good luck with proofs!

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2 years ago

PLEASE HELP I WILL GIVE 20 POINTS !!!!!!!!!!!!!!!!!!!!!!!!!!

gregori [183]

100 seats
<span>So guessing your supposed to have a even number of each seats that's 100 seats
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6 0

2 years ago