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SVETLANKA909090 [29]
3 years ago
5

28

Mathematics
1 answer:
Sati [7]3 years ago
4 0

Answer:

A 5c+ 275 > 500

Step-by-step explanation:

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E temperature t of a metal sphere is inversely proportional to the distance from the centre of the sphere (the origin (0, 0, 0))
olasank [31]

(-x, -y, -z) the vector form (x, y, z) to the origin, in the direction of the greatest increase.

<h3>How to calculate temperature?</h3>

The quantity or amount of radiation contained in material or item, as measured by a temperature or sensed by touch and stated on a numerical scale.

The temperature T of a ball bearing is inverse to the length first from the origin, which we consider to be the center of the ball. The temperature at the exact location

(x, y, z) is a point on the sphere, the temperature at this point is given by

T(x,y,z)= \dfrac{k}{(x^2 +y^2+z^2)^{1/2}}

Where k is constant, then we have

T(1, 2, 2) = k/3 = 170

k = 510

So

T(x,y,z)= \dfrac{510}{(x^2 +y^2+z^2)^{1/2}}

Then we have

\rm \triangledown T =  \left ( -\dfrac{510x}{(x^2 +y^2+z^2)^{1/2}}, -\dfrac{510y}{(x^2 +y^2+z^2)^{1/2}}, \dfrac{510z}{(x^2 +y^2+z^2)^{1/2}} \right )\\\\\\\triangledown T (1, 2, 2) = -\dfrac{510}{27} (1, 2, 2) =-\dfrac{170}{9} (1, 2, 2)

Then the direction will be from (1, 2, 2) to (4, 3, 5) will be (3, 1, 3)

So u = (3/√19, 1/√19, 3/√19)

Then we get

\rm \triangledown T \cdot u = \dfrac{-170}{9}(1, 2, 2) \cdot \left (\dfrac{3}{\sqrt{19}}, \dfrac{1}{\sqrt{19}}, \dfrac{3}{\sqrt{19}} \right )\\\\\\\triangledown T \cdot u = - \dfrac{170}{9\sqrt{19}} (3 + 2 + 6)\\\\\\\triangledown T \cdot u = -\dfrac{1870}{9\sqrt{19}}

The direction of the greatest inverse in the temperature is given by any vector parallel to and having the same direction \triangledownT. (-x, -y, -z) the vector form (x, y, z) to the origin, in the direction of the greatest increase.

More about the temperature link is given below.

brainly.com/question/11464844

#SPJ4

6 0
2 years ago
Braydon is performing the four arithmetic operations on 14 and 2.
Studentka2010 [4]
Well, let's just solve all these darn operations!

<em>14 + 2 = 16
</em><em>14 - 2 = 12
</em><em>14 * 2 = 28
</em><em>14 / 2 = 7
</em>
<em />So, what do you think the answer is? =)
7 0
3 years ago
Find the equation of a line parallel to y-5= 6x -- 10 and passes through the point
lbvjy [14]

Answer:

Step-by-step explanation:

Hello:

the equation is : y = ax+b

the slope is a :  a =6   ( same slope parrallal to the line :  y-5= 6x -- 10 )

          

the line that passes through (4, 10) : 10 = (6)(4)+b

b =  -14

the equation is :  y  = 6x-14

4 0
3 years ago
What is the sum or difference of 10 + (-11) + 5 + (-5)?
Maslowich

Answer:

-1 is the answer

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Someone please help me?
babymother [125]
(x-3)^2 + (y+5)^2 = 25

remove the ^2's from the left side:

(x-3) +(y+5) = sqrt(25)

(x-3) +(y+5) = 5

radius = 5

now solve for zero 's on the left side:

x-3 = 0   x = 3   (3-3=0)

y+5 = 0   y = -5  (-5 +5=0)

so center = (3,-5) and radius is 5

Answer is last one.


4 0
3 years ago
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