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Alisiya [41]
2 years ago
12

How should you multiply fractions?

Mathematics
2 answers:
Verizon [17]2 years ago
5 0

Answer:

DDDDD...............................

trasher [3.6K]2 years ago
3 0

D.

Hope this helps :)

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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
3 years ago
The outlier, 78, is removed from the data set shown. 23, 23, 25, 27, 34, 34, 35, 41, 45, 45, 78 How does this affect the range?
KATRIN_1 [288]
Hello.

The range with 78 is 55

without 78 is 22

So the range goes down 

Have a nice day
6 0
3 years ago
Read 2 more answers
Warren has a container which holds 22 books of the same shape and size. The exact breakdown of his books is shown below:
ohaa [14]

Given:

Total number of book = 22

Number of white books = 6

Number of Purple books = 9

Number of green books = 7

To find:

The probability that Warren takes out a green book in both draws (with replacement).

Solution:

We know that,

\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

P(\text{White})=\dfrac{6}{22}

P(\text{Purple})=\dfrac{9}{22}

P(\text{green})=\dfrac{7}{22}

After replacement, the probability of event remains the same and the independent.

The probability that Warren takes out a green book in both draws is:

P=P(\text{green})\times P(\text{green})

P=\dfrac{7}{22}\times \dfrac{7}{22}

P=\dfrac{49}{484}

Therefore, the correct option is (a).

7 0
3 years ago
Helpp!......PLEACE.......
Arlecino [84]

Answer:

Step-by-step explanation:

4 0
2 years ago
Tannin and Dax bought a new video game for $48 to use the coupon for 25% off how much would the game cost if they paid full pric
olchik [2.2K]

Answer:

$64

Step-by-step explanation:

After using a 25% discount coupon, they paid 48 for the video game.

It means, <em>which number, decreased by 25%, would give us 48?</em>

<em />

First, 25% to decimal is:

25/100 = 0.25

Now, if we let the original price be "x", we can say:

x decreased by 0.25 of x would give us 48

Translating this to algebraic equation gives us:

x - 0.25x = 48

Now, we solve this:

x - 0.25x = 48\\0.75x=48\\x=\frac{48}{0.75}\\x=64

If they paid full price, the video game would cost $64

3 0
3 years ago
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