All categories

3 years ago

-5y = -5

Mathematics

1 answer:

Vsevolod [243]3 years ago

4 0

-5y = -5 = 1

7x + 6y = 7

=-1.167

your answer is B) no

You might be interested in

Please Help me This is due ASAP!

77julia77 [94]

Answer:

20 nickels

23 dimes

Step-by-step explanation:

hope this helps!

7 0

2 years ago

Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S.

sweet-ann [11.9K]

Answer:

2.794

Step-by-step explanation:

Recall that if G(x,y) is a parametrization of the surface S and F and G are smooth enough then

$\bf \displaystyle\iint_{S}FdS=\displaystyle\iint_{R}F(G(x,y))\cdot(\displaystyle\frac{\partial G}{\partial x}\times\displaystyle\frac{\partial G}{\partial y})dxdy$

F can be written as

F(x,y,z) = (xy, yz, zx)

and S has a straightforward parametrization as

$\bf G(x,y) = (x, y, 3-x^2-y^2)$

with 0≤ x≤1 and 0≤ y≤1

$\bf \displaystyle\frac{\partial G}{\partial x}= (1,0,-2x)\\\\\displaystyle\frac{\partial G}{\partial y}= (0,1,-2y)\\\\\displaystyle\frac{\partial G}{\partial x}\times\displaystyle\frac{\partial G}{\partial y}=(2x,2y,1)$

we also have

$\bf F(G(x,y))=F(x, y, 3-x^2-y^2)=(xy,y(3-x^2-y^2),x(3-x^2-y^2))=\\\\=(xy,3y-x^2y-y^3,3x-x^3-xy^2)$

and so

$\bf F(G(x,y))\cdot(\displaystyle\frac{\partial G}{\partial x}\times\displaystyle\frac{\partial G}{\partial y})=(xy,3y-x^2y-y^3,3x-x^3-xy^2)\cdot(2x,2y,1)=\\\\=2x^2y+6y^2-2x^2y^2-2y^4+3x-x^3-xy^2$

we just have then to compute a double integral of a polynomial on the unit square 0≤ x≤1 and 0≤ y≤1

$\bf \displaystyle\int_{0}^{1}\displaystyle\int_{0}^{1}(2x^2y+6y^2-2x^2y^2-2y^4+3x-x^3-xy^2)dxdy=\\\\=2\displaystyle\int_{0}^{1}x^2dx\displaystyle\int_{0}^{1}ydy+6\displaystyle\int_{0}^{1}dx\displaystyle\int_{0}^{1}y^2dy-2\displaystyle\int_{0}^{1}x^2dx\displaystyle\int_{0}^{1}y^2dy-2\displaystyle\int_{0}^{1}dx\displaystyle\int_{0}^{1}y^4dy+\\\\+3\displaystyle\int_{0}^{1}xdx\displaystyle\int_{0}^{1}dy-\displaystyle\int_{0}^{1}x^3dx\displaystyle\int_{0}^{1}dy-\displaystyle\int_{0}^{1}xdx\displaystyle\int_{0}^{1}y^2dy$

=1/3+2-2/9-2/5+3/2-1/4-1/6 = 2.794

5 0

2 years ago

A leaf fell into a river and traveled 140 meters in 4 minutes how many meters did the leaf travel per minute

Alekssandra [29.7K]

Answer:

The answer is 35

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Asssesmenttt lasttt......

ratelena [41]

Answer:

( About ) 1.77 seconds; Option B

Step-by-step explanation:

We are given the equation h ( t ) = - 16t^2 + 50, so in order to determine the time let us determine the x - intercept for y ⇒ 0;

- 16t^2 + 50 = 0,

- 16t^2 = - 50,

t^2 = 25 / 8,

Thus t ⇒ √ ( 25 / 8 ), and t ⇒ - √ ( 25 / 8 ),

t ⇒ ( 5√2 )/ 4, and - ( 5√2 )/ 4,

But time is represented only by a positive value, thus

t ⇒ ( 5√2 )/ 4 = 1.767766953......., ( About ) 1.77 seconds

Answer; ( About ) 1.77 seconds; Option B

7 0

2 years ago

Solve the equation 15x=60

Tcecarenko [31]

Answer:

x = 4

Step-by-step explanation:

3 0

3 years ago