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BlackZzzverrR [31]
3 years ago
11

There are 17 families, each of the family has boys and girls. Write two equations that will give the total number of children.

Mathematics
1 answer:
Elodia [21]3 years ago
7 0

Answer:

Step-by-step explanation:

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Solve for x by simplifying both sides of the equation, then isolating the variable.

x = 10

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Please help!!! ill mark brainliest
Vesnalui [34]

3x - 1 = 3x + 1  

subtract 3x from both sides to get (-1 = 1).  This is a false statement so it is: CONTRADICTION

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4x - 11 = 7

add 11 to both sides and then divide both sides by 4 to get (x = \frac{18}{4} = \frac{9}{2}).  This statement is true only when x = \frac{9}{2} so it is: CONDITIONAL

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2 - 8x = 2 - 8x

add 8x to both sides to get (2 = 2).  This is a true statement so it is: IDENTITY

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x + 1 = -x + 4

add x to both sides, subtract 1 from both sides, and divide both sides by 2 to get  (x = \frac{3}{2} ). This statement is true only when x = \frac{3}{2} so it is: CONDITIONAL

Answer: B, A, C, A

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3 years ago
Pythagorean theorem (picture provided)
e-lub [12.9K]

<em>The</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>of</em><em> </em><em>option</em><em> </em><em>D</em><em>.</em>

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8 0
3 years ago
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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

So

\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

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Answer:

Step-by-step explanation:

We are told that pressure at sea level is 1 atmosphere and increases at a constant rate as depth increases.

We are provided two points as (0,1) and (23,3.3). To find function's formula we will find the line which passes through these points.

First of all we will find slope of this line.

Now we will find equation of this line in slope intercept form.

Our equation for this line will be .

Now let us write this for x as a function of p,

Therefore, our function's formula will be p(x) = 0.1x + 1.

5 0
3 years ago
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