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3 years ago

Pls help! substitute x = 2 and y = 4 into the following and evaluate. 12/x + 10xy/2

Mathematics

1 answer:

ankoles [38]3 years ago

4 0

Answer:

46 is the answer.

Step-by-step explanation:

12/(2) + 10(2)(4)/2

= 12/(2) + 80/2

= 6 + 40

= 46

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Determine whether or not f is a conservative vector field. if it is, find a function f such that f = ∇f. (if the vector field is

gladu [14]

$\mathbf f$ is conservative if we can find a scalar function $f$ such that $\nabla f=\mathbf f$ . This is equivalent to solving the system of PDEs,

$\dfrac{\partial f}{\partial x}=2x-6y$

$\dfrac{\partial f}{\partial y}=-6x+10y-9$

Integrate both sides of the first PDF with respect to $x$ :

$f(x,y)=x^2-6xy+g(y)$

where $g$ is some function independent of $x$ . Then differentiatng with respect to $y$ , we have

$\dfrac{\partial f}{\partial y}=-6x+\dfrac{\mathrm dg}{\mathrm dy}=-6x+10y-9$

$\implies\dfrac{\mathrm dg}{\mathrm dy}=10y-9\implies g(y)=5y^2-9y+C$

and so $\mathbf f$ is indeed conservative, with

$f(x,y)=x^2-6xy+5y^2-9y+C$

3 0

3 years ago

Greg has enough framing to enclose a rectangular photograph with a perimeter of 160 centimeters. If the width of his photograph

kotegsom [21]

Answer:

32cm

Step-by-step explanation:

Let the width be w. Now we know that the width is 16cm less than the length, this means that the length will thus have a total length of w + 16

Now, we know that the perimeter of a rectangle is 2(l + b)

This means 2(w + w + 16) = 160

4w + 32 = 160

4w = 128

w = 128/4 = 32cm

8 0

3 years ago

Write (8a^-6) in simplest form.

salantis [7]

It's 8/a^6 that's your answer

7 0

3 years ago

The ceiling of Katie’s living room is a square that is 15 ft long on each side. To decorate for a party, she plans to hang crepe

egoroff_w [7]

Answer:

6 rolls because the total perimeter is 102 ft and five rolls is only 100 feet. So she needs 6 rolls.

Step-by-step explanation:

to find perimeter, add up all the side lengths.

so 15*4 (it's easier than 15+15+15...)

60 ft.

now we have to use Pythagorean's Theorum to find corner to corner.

so $a^2+b^2=c^2$

we have a and b

$15^2+15^2=c^2$

do the math...

225+225= 450

square root of 450=

21.213

double that because it's used twice (corner to corner and corner to corner)

42.426

now add it all up

42.426 + 60 = 102.426

we can round

102

20*5 = 100

so she needs 6

MY ORIGINAL ERROR WAS 5, BUT 5 TIMES 20 IS ONLY 80, SO THEREFORE 6 IS REQUIRED SO THERE IS ENOUGH TO COVER 102.

6 0

3 years ago

HELP ME PLEASE!!!

zaharov [31]

The correct answer to this question would be answer choice B.

To convert the decimal 0.56 to a fraction, first set it to a fraction over 100 which would be 56/100.

Then, because the question asks for the fraction to be in simplest form, look for the greatest common factor of the numerator and denominator or 56 and 100.

To find it, list out all of their factors:

56: 1, 2, 4, 7, 8 , 14, 28, 56

100: 1, 2, 4, 5, 10,20,25,50,100

Notice that out of all the factors listed, the greatest common factor listed is 4. Because of this, divide both the numerator and denominator by 4 to simplify your fraction to your answer: 14/25

5 0

3 years ago