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3 years ago

9

Enter five expressions: a sum, a difference, a product, a quotient, and one that involves at least two operations that have the

value -3/4 (-0.75).

1 answer:

Sever21 [200]3 years ago

3 0

Answer:

i dk

Step-by-step explanation:

i am unable to can answer this i neeed points

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(I will give brainliest, a thanks, 30 points, and 5 stars if you can answer these 2 questions)

dimulka [17.4K]

Answer:

1. 9 pi, 2. 121 pi

Step-by-step explanation:

The formula for circumference is pi d. So for the first question the radius would be three. The you do pi r ^2 for area so 3 times pi squared. Which is 9 pi. For the second you will do the same thing you will do 22 pi divided by 2 which is 11 pi then you will square 11pi and get 121 pi

4 0

3 years ago

Question 83 pts

8_murik_8 [283]

Answer:

Ummm I dont know what subject it is so i will guess 2.3?

Step-by-step explanation:

I'm Sorry im really useless

4 0

3 years ago

Find the counterclockwise circulation and outward flux of the field F=7xyi+5y^2j around and over the boundary of the region C en

dezoksy [38]

Split up the boundary of <em>C</em> (which I denote ∂<em>C</em> throughout) into the parabolic segment from (1, 1) to (0, 0) (the part corresponding to <em>y</em> = <em>x</em> ²), and the line segment from (1, 1) to (0, 0) (the part of ∂<em>C</em> on the line <em>y</em> = <em>x</em>).

Parameterize these pieces respectively by

<em>r</em><em>(t)</em> = <em>x(t)</em> <em>i</em> + <em>y(t)</em> <em>j</em> = <em>t</em> <em>i</em> + <em>t</em> ² <em>j</em>

and

<em>s</em><em>(t)</em> = <em>x(t)</em> <em>i</em> + <em>y(t)</em> <em>j</em> = (1 - <em>t</em> ) <em>i</em> + (1 - <em>t</em> ) <em>j</em>

both with 0 ≤ <em>t</em> ≤ 1.

The circulation of <em>F</em> around ∂<em>C</em> is given by the line integral with respect to arc length,

$\displaystyle \int_{\partial C}\mathbf F\cdot\mathbf T \,\mathrm ds$

where <em>T</em> denotes the <em>tangent</em> vector to ∂<em>C</em>. Split up the integral over each piece of ∂<em>C</em> :

• on the parabolic segment, we have

<em>T</em> = d<em>r</em>/d<em>t</em> = <em>i</em> + 2<em>t</em> <em>j</em>

• on the line segment,

<em>T</em> = d<em>s</em>/d<em>t</em> = -<em>i</em> - <em>j</em>

Then the circulation is

$\displaystyle \int_{\partial C}\mathbf F\cdot\mathbf T\,\mathrm ds = \int_0^1 (7t^3\,\mathbf i+5t^4\,\mathbf j)\cdot(\mathbf i+2t\,\mathbf j)\,\mathrm dt + \int_0^1 (7(1-t)^2\,\mathbf i+5(1-t)^2\,\mathbf j)\cdot(-\mathbf i-\mathbf j)\,\mathrm dt \\\\ = \int_0^1 (7t^3+10t^5)\,\mathrm dt - 12 \int_0^1 (1-t)^2\,\mathrm dt =\boxed{-\frac7{12}}$

Alternatively, we can use Green's theorem to compute the circulation, as

$\displaystyle\int_{\partial C}\mathbf F\cdot\mathbf T\,\mathrm ds = \iint_C\frac{\partial(5y^2)}{\partial x} - \frac{\partial(7xy)}{\partial y}\,\mathrm dx\,\mathrm dy \\\\ = -7\int_0^1\int_{x^2}^x x\,\mathrm dx \\\\ = -7\int_0^1 xy\bigg|_{y=x^2}^{y=x}\,\mathrm dx \\\\ =-7\int_0^1(x^2-x^3)\,\mathrm dx = -\frac7{12}$

The flux of <em>F</em> across ∂<em>C</em> is

$\displaystyle \int_{\partial C}\mathbf F\cdot\mathbf N \,\mathrm ds$

where <em>N</em> is the <em>normal</em> vector to ∂<em>C</em>. While <em>T</em> = <em>x'(t)</em> <em>i</em> + <em>y'(t)</em> <em>j</em>, the normal vector is <em>N</em> = <em>y'(t)</em> <em>i</em> - <em>x'(t)</em> <em>j</em>.

• on the parabolic segment,

<em>N</em> = 2<em>t</em> <em>i</em> - <em>j</em>

• on the line segment,

<em>N</em> = - <em>i</em> + <em>j</em>

So the flux is

$\displaystyle \int_{\partial C}\mathbf F\cdot\mathbf N\,\mathrm ds = \int_0^1 (7t^3\,\mathbf i+5t^4\,\mathbf j)\cdot(2t\,\mathbf i-\mathbf j)\,\mathrm dt + \int_0^1 (7(1-t)^2\,\mathbf i+5(1-t)^2\,\mathbf j)\cdot(-\mathbf i+\mathbf j)\,\mathrm dt \\\\ = \int_0^1 (14t^4-5t^4)\,\mathrm dt - 2 \int_0^1 (1-t)^2\,\mathrm dt =\boxed{\frac{17}{15}}$

5 0

3 years ago

The point G is the midpoint of FH<br> Find the location of H.<br> F -34<br> G -19

saveliy_v [14]

The location is -4 , since G is the mid point, which is 15 away from F, H would be 15 away from G, which is 4.

4 0

4 years ago

You are making a blueprint of your bedroom and you plan to use a scale factor of 1/5 . The actual width of your room is 12 feet

Inga [223]

9514 1404 393

Answer:

2.4 ft by 1.6 ft

Step-by-step explanation:

The scaled size is 1/5 the actual size, so is ...

12 ft/5 = 2.4 ft

by

8 ft/5 = 1.6 ft

_____

To convert to inches, multiply by 12 in/ft.

2.4 ft = (2.4 f)(12 in/ft) = 28.8 in

1.6 ft = (1.6 ft)(12 in/ft) = 19.2 in

In inches, the width and length on the blueprint are 28.8 in and 19.2 in.

7 0

3 years ago