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vaieri [72.5K]
3 years ago
8

What is 83 divided by 3

Mathematics
1 answer:
Ksivusya [100]3 years ago
4 0
83 divided by 3. 
Exact Form: 83/3
Decimal Form: 27.66666666. . .
Mixed Number Form: 27 2/3
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Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of
Law Incorporation [45]

Answer:

Step-by-step explanation:

To solve this problem, we will use the following two theorems/definitions:

- Given a vector field F of the form (P(x,y,z),Q(x,y,z),W(x,y,z)) then the divergence of F denoted by \nabla \cdot F = \frac{\partial P}{\partial x}+\frac{\partial Q}{\partial y}}+\frac{\partial W}{\partial z}

- (Gauss' theorem)Given a closed surface S, the following applies

\int_{S} F\cdot \vec{n} dS = \int_{V} \nabla \cdot F dV

where n is the normal vector pointing outward of the surface and V is the volume bounded by the surface S.

Let us, in our case, calculate the divergence of the given field. We have that

\nabla \cdot F = \frac{\partial}{\partial x}(x)+\frac{\partial}{\partial y}(2y)+ \frac{\partial}{\partial z}(5z) = 1+2+5 = 8

Hence, by the Gauss theorem we have that

\int_{S} F\cdot \vec{n} dS = \int_{V} 8 dV = 8\cdot\text{Volume of V}

So, we must calculate the volume V bounded by the cube S.

We know that the vertices are located on the given points. We must determine the lenght of the side of the cube. To do so, we will take two vertices that are on the some side and whose coordinates differ in only one coordinate. Then, we will calculate the distance between the vertices and that is the lenght of the side.

Take the vertices (1,1,1) and (1,1-1). The distance between them is given by

\sqrt[]{(1-1)^2+(1-1)^2+(1-(-1)^2} = \sqrt[]{4} = 2.

Hence, the volume of V is 2\cdot 2 \cdot 2 = 8. Then, the final answer is

\int_{S} F\cdot \vec{n} dS =8\cdot 8 = 64

5 0
3 years ago
Lorine drew the model below to represent the equation 16 + 28 = ___ ´ (4 + 7).
True [87]

Answer:

4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Last Geometry question I have
ANEK [815]
The measure of angle 2 is 104
Anymore questions need answer because x = 12
3 0
3 years ago
Four friends each purchased a hat for $12.50
mrs_skeptik [129]

Answer:

$70 each

Step-by-step explanation:

If 4 friends each buy a hat, that would be $50 because that is $12.50X4=%50.00. Then, Since the total is $190 and $50 is off the chart, you would be left with $140 to spend on two t-shirts. Finally, since they are the same price, you divide $140/2=$70. Each t-shirt is $70.

Let me know if you need clarification and I will help the best I can. Have a nice day. :)

8 0
3 years ago
Suppose a bag of marbles has 4 green, 2 red, 5 yellow, 1 brown, and 7 blue marbles. What is the probability of picking a red mar
swat32

Assuming that each marble can be picked with equal probability, we notice that there is a total of

4+2+5+1+7 = 19

marbles, of which 2 are red.

So, the probability of picking a red marble is

\dfrac{2}{19}

In fact, as in any other case of (finite) equidistribution, we used the formula

P(\text{event}) = \dfrac{\text{number of favourable cases}}{\text{number of all possible cases}}

4 0
2 years ago
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