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ratelena [41]
3 years ago
13

The spill covered 11,000 square miles of ocean. The oil spread out in a circular pattern and the radius increased by 0.10mph. Us

e pi = 3.14 At this rate how many hours did it take for the oil to cover the area?
Mathematics
1 answer:
N76 [4]3 years ago
4 0

Answer:

3.14 times 0.10. comes out to be 31.4 .

Step-by-step explanation:

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Use the divergence theorem to find the outward flux of the vector field F(x,y,z)=2x2i+5y2j+3z2k across the boundary of the recta
aksik [14]

Answer:

The answer is "120".

Step-by-step explanation:

Given values:

F(x,y,z)=2x^2i+5y^2j+3z^2k \\

differentiate the above value:

div F =2 \frac{x^2i}{\partial x}+5 \frac{y^2j}{\partial y}+3 \frac{z^2k }{\partial z}  \\

        = 4x+10y+6z

\ flu \ of \ x = \int  \int div F dx

              = \int\limits^1_0 \int\limits^3_0 \int\limits^1_0 {(4x+10y+6z)} \, dx \, dy \, dz \\\\ = \int\limits^1_0 \int\limits^3_0 {(4xz+10yz+6z^2)}^{1}_{0} \, dx \, dy  \\\\ = \int\limits^1_0 \int\limits^3_0 {(4x+10y+6)} \, dx \, dy  \\\\ = \int\limits^1_0  {(4xy+10y^2+6y)}^3_{0} \, dx   \\\\ = \int\limits^1_0  {(12x+90+18)}\, dx   \\\\= {(12x^2+90x+18x)}^{1}_{0}   \\\\= {(12+90+18)}   \\\\=30+90\\\\= 120

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Chuge%5Cfbox%5Cpurple%7BQuestion%7D" id="TexFormula1" title="\huge\fbox\purple{Question}" al
ICE Princess25 [194]

The LCM of the given numbers have been determined.

<h3>What is LCM ?</h3>

LCM stands for Least Common Multiple .

For two numbers , LCM is the number that is the smallest number of which they both are a factor.

It is asked to determine

LCM of 6 and 9

6 = { 6 , 12 , 18 , 24 , 30 , 36 , 42 .....}

9 = { 9 , 18 ,27 .....}

The LCM of 6 , 9 is 18

LCM of 8 and 12

8 = { 8,16,24,32....}

12 = {12 , 24 ,36....}

The LCM of 8 and 12 is 24

LCM of 4 , 6 and 8

4 = {4 , 8 , 12 , 16 , 20,24,28 ....}

6 = { 6 ,12 ,18,24......}

8 = {8 , 16,24 .....}

The LCM of 4,6 and 8  is 24

The LCM of 6 and 15 is 30  

The LCM of 20 and 30 is  60

The LCM of 25,30 and 75 is 150

The image of the solution is attached .

To know more about LCM

brainly.com/question/20739723

#SPJ1

6 0
2 years ago
Three teachers buy prizes to put in the prize bin at school. Mrs. Maiers spends $7.68 on stickers.
SashulF [63]

Hi there! The answer to this problem would be 36.64$.

Step By Step:

So there is three teachers and they all brought something.

_____________________________________

| Mrs.Maiers  | 7.68$                                                |

| Mr.Lang       | 11.52$                                               |

| Mrs.Connor | 17.64$                                              |

______________________________________

Total Cost: 36.64

4 0
3 years ago
What is the measure of ∠L?
otez555 [7]
<h3>Answer:  72.54</h3>

====================================================

Explanation:

We set up a cosine ratio, since we want to connect the adjacent and hypotenuse. Then we'll use the inverse cosine, which is also known as arccosine, to isolate the angle value.

This is what your steps could look like:

cos(angle) = adjacent/hypotenuse

cos(L) = LM/LN

cos(L) = 18/60

cos(L) = 0.3

L = arccos(0.3)

L = 72.542396876278 which is approximate

L = 72.54 degrees approximately

Make sure your calculator is in degree mode.

8 0
3 years ago
In the XY-plane, the X-axis contains all ordered pairs such that:
Fiesta28 [93]

Answer:

Option B

y coordinate is 0

Step-by-step explanation:

We have in two dimension rectangular system of coordinates with two mutually perpendicular lines called x and y axis.

X axis is the horizontal line and y the vertical line, the point of intersection of these two lines is called origin with x=0: y=0

To the right of origin, positive values are marked and left negative. Similarly for y axis, above origin positive values and below negative values.

Thus we have along x axis, y values to be 0

Hence any point on x coordinate will be of the form (a,0) where a can be any real number

So option B is right

3 0
3 years ago
Read 2 more answers
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