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3 years ago

Rewrite 79/10 as a mixed number

Mathematics

2 answers:

natulia [17]3 years ago

8 0

79 divided by 10 (because the slash: 79/10)

Equals= 7 9/10

Artemon [7]3 years ago

7 0

79 / 10 as a mixed number is 7 and 9/10

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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,

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

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3 years ago

If the area of each of the triangular regions is as shown, what is the area of the polygon?

pochemuha

Answer:

Step-by-step explanation:

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3 years ago

Janessa sleeps 7 1/2 hours each night. How many minutes does she sleep each night?

amm1812

Answer: 450 minutes

Step-by-step explanation: First you find 7 hours to minutes by multiplying 7 by 60. You will get 420. Then, add 420 and 30 because a half of an hour is 30 minutes. Your final answer will be 420 minutes!

Your welcome!

Good night!

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2 years ago

True or false: a pair of straight angles can also be adjacent angles

IrinaK [193]

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions. the statement "a pair of straight angles can also be adjacent angles" is true

There are some special relationships between "pairs" of angles. Adjacent Angles are two angles that share a common vertex, a common side, and no common interior points. (They share a vertex and side, but do not overlap.) A Linear Pair is two adjacent angleswhose non-common sides form opposite rays.

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2 years ago

Read 2 more answers

Please i need help asapl

Marizza181 [45]

Answer:

Ella should not have included 5 in absolute value portion of the equation

Step-by-step explanation:

Because -1 is a negative number in order to find the true distance between A and B you have to make it positive.

But, because Ella included 5 in the absolute value portion of the equation it messed up the answer.

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