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2 years ago

Which terms could have a greatest common factor of 5m2n2? Select two options.

Mathematics

1 answer:

SOVA2 [1]2 years ago

3 0

2 and 4 are correct. ( 5m4n3 and 15m2n2 ) have

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Consider F and C below. F(x, y) = x4y5i + x5y4j, C: r(t) = t3 − 2t, t3 + 2t , 0 ≤ t ≤ 1 (a) Find a function f such that F = ∇f.

vovikov84 [41]

$\mathbf f(x,y)=x^4y^5\,\mathbf i+x^5y^4\,\mathbf j$

We want a scalar function $f(x,y)$ whose gradient is equivalent to the vector field. That means

$\dfrac{\partial f}{\partial x}=x^4y^5\implies f(x,y)=\dfrac{x^5y^5}5+g(y)$
$\dfrac{\partial f}{\partial y}=x^5y^4\implies x^5y^4=x^5y^4+\dfrac{\mathrm dg}{\mathrm dy}$
$\implies\dfrac{\mathrm dg}{\mathrm dy}=0\implies g(y)=C$

So (a)

$f(x,y)=\dfrac{x^5y^5}5+C$

which means (b)

$\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f(\mathbf r(1))-f(\mathbf r(0))=f(-1,3)-f(0,0)=-\dfrac{243}5-0=-\dfrac{243}5$

5 0

3 years ago

Calculate the measure of ABC to the nearest tenth of a degree.

serg [7]

Answer:

I had done rough method on the page

Step-by-step explanation:

I think first once is correct ...

4 0

3 years ago

Solve for x 1/3(x+1)+2x=2

Dovator [93]

Answer:

X=5/7

Step-by-step explanation:

See answer above pls____

6 0

3 years ago

Read 2 more answers

Solve the problem.

marta [7]

Answer:

There will be 90 ways to reach Greenup from Charleston.

Step-by-step explanation:

<em>Option C: 90 is correct.</em>

Let's name all the ways and try to visualize the roads.

C = Charleston

M = Mattoon

T = Toledo

G = Greenup

Task = Charleston to Greenup. How many different ways to reach?

1 1

2 2 1

C 3 M 3 T 2 G

4 4 3

5 5

So, Refer to this above diagram.

If we Start from C then go to 1 and then go to M and then go to 1 and then go to T and then go to 1 and then go G.

If you notice, in this single possibility we have 3 ways: C to 1 to M, M to 1 to T, T to 1 to G.

It means we will have: 5 x 6 x 3 = 90 number of ways to reach greenup from Charleston.

8 0

3 years ago

THIS IS 99 POINTS!!!!!!! WILL REPORT IF YOU DONT ANSWER CORRECTLY

Umnica [9.8K]

Gg easey

perimiter is jsut the sum of the measures of the sides

P=2.3x+14+2x-0.2x+15
group like terms
P=2.3x+2x-0.2x+14+15
add
P=4.1x+29

answer is first one

4 0

3 years ago

Read 2 more answers