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2 years ago

5

The quotient of of a number and 2 is equal to the difference between 6 and the number . which equation represents this relations

hip?

1 answer:

mamaluj [8]2 years ago

5 0

2+x=4 6-x=4 This is the quotient it is 2 <span />

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Let F⃗ =2(x+y)i⃗ +8sin(y)j⃗ .

Alik [6]

Answer:

-42

Step-by-step explanation:

The objective is to find the line integral of $F$ around the perimeter of the rectangle with corners (4,0), (4,3), (−3,3), (−3,0), traversed in that order.

We will use <em>the Green's Theorem </em>to evaluate this integral. The rectangle is presented below.

We have that

$F(x,y) = 2(x+y)i + 8j \sin y = \langle 2(x+y), 8\sin y \rangle$

Therefore,

$P(x,y) = 2(x+y) \quad \wedge \quad Q(x,y) = 8\sin y$

Let's calculate the needed partial derivatives.

$P_y = \frac{\partial P}{\partial y} (x,y) = (2(x+y))'_y = 2\\Q_x =\frac{\partial Q}{\partial x} (x,y) = (8\sin y)'_x = 0$

Thus,

$Q_x -P_y = 0 -2 = - 2$

Now, by the Green's theorem, we have

$\oint_C F \,dr = \iint_D (Q_x-P_y)\,dA = \int \limits_{-3}^{4} \int \limits_{0}^{3} (-2)\,dy\, dx \\ \\\phantom{\oint_C F \,dr = \iint_D (Q_x-P_y)\,dA}= \int \limits_{-3}^{4} (-2y) \Big|_{0}^{3} \; dx\\ \phantom{\oint_C F \,dr = \iint_D (Q_x-P_y)\,dA}= \int \limits_{-3}^{4} (-6)\; dx = -6x \Big|_{-3}^{4} = -42$

4 0

2 years ago

I made some brownies and cookies to sell for a local fundraiser. The cookies sold for $0.75 each and the brownies sold for $1.25

juin [17]

Answer:

Brownies made the most money

Step-by-step explanation:

Let c = cookies

b = brownies

We sold 51 items so c+b = 51

Cookies are .75 and brownies are 1.25

.75c + 1.25 b = 53.25

We have 2 equations and 2 unknowns

c = 51-b

Substituting into the second equation

.75(51-b) + 1.25b = 53.25

Distribute

38.25-.75b +1.25b = 53.25

Combine like terms

38.25+.5b = 53.25

Subtract 38.25 from each side

38.25 +.5b -38.25 = 53.25 -38.25

.5b =15

Divide each side by .5

.5b/.5 = 15/.5

b = 30

Now find c

c =51-b

c = 51-30

c = 21

They sold 30 brownies and 21 cookies

30 brownies * 1.25 =37.50

21 cookies *.75 = 15.75

Brownies made the most money

3 0

2 years ago

Maria in on the school softball team. Her team has won 3 out of 12 games. She is having an excellent season hitting the softball

GarryVolchara [31]

Ignore the part about her batting attempts, it is extra. Her winning ratio is 3/12 which is 1/4 simplified and if you do 1/4 or 3/12 you get 0.25 which is the decimal of how many games she won / how many total. To convert 0.25 to percentage multiply it by 100 to get 25% D

5 0

2 years ago

Read 2 more answers

A circular pool has a radius of 3.2 meters. which is closest to the area of the pool

almond37 [142]

Answer:

32.17

Step-by-step explanation:

$A= \pi$ × $r^{2}$

A= $\pi$ × $3.2^{2}$ ≈ $32.16991$

A= $32.17$

3 0

2 years ago

Write the equation, in point-slope form, that contains the point (3, -6) with a slope of 2.

maria [59]

Answer:

y+6=2(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-6)=2(x-3)

y+6=2(x-3)

3 0

2 years ago