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2 years ago

Evaluate the expression 8n for n = 1 5/12

Mathematics

1 answer:

ad-work [718]2 years ago

4 0

Answer

8n=34/3

Step-by-step explanation:

1 5/12=17/12

17/12*8/1=136/12=34/3

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A thin metal plate, located in the xy-plane, has temperature T(x, y) at the point (x, y). Sketch some level curves (isothermals)

Sophie [7]

Answer:

Step-by-step explanation:

Given that:

$T(x,y) = \dfrac{100}{1+x^2+y^2}$

This implies that the level curves of a function(f) of two variables relates with the curves with equation f(x,y) = c

here c is the constant.

$c = \dfrac{100}{1+x^2+2y^2} \ \ \--- (1)$

By cross multiply

$c({1+x^2+2y^2}) = 100$

$1+x^2+2y^2 = \dfrac{100}{c}$

$x^2+2y^2 = \dfrac{100}{c} - 1 \ \ -- (2)$

From (2); let assume that the values of c > 0 likewise c < 100, then the interval can be expressed as 0 < c <100.

Now,

$\dfrac{(x)^2}{\dfrac{100}{c}-1 } + \dfrac{(y)^2}{\dfrac{50}{c}-\dfrac{1}{2} }=1$

This is the equation for the family of the eclipses centred at (0,0) is :

$\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1$

$a^2 = \dfrac{100}{c} -1 \ \ and \ \ b^2 = \dfrac{50}{c}- \dfrac{1}{2}$

Therefore; the level of the curves are all the eclipses with the major axis:

$a = \sqrt{\dfrac{100 }{c}-1}$ and a minor axis $b = \sqrt{\dfrac{50 }{c}-\dfrac{1}{2}}$ which satisfies the values for which 0< c < 100.

The sketch of the level curves can be see in the attached image below.

7 0

3 years ago

What is the value of x? Enter X : (Look at the photo)

Anton [14]

Answer:

x = 20

Step-by-step explanation:

Each line creates a 180° angle on each side of it. Since these lines intersect, they have congruent angles. This means that these two quantities can be set equal to each other.

3x + 50 = 6x - 10

Solve by combining like-terms and isolating x. Move the 3x to the right by subtracting it from both sides.

50 = 3x - 10

Move the 10 to the left by adding it to both sides.

60 = 3x

Divide the 3 from both sides to isolate the x.

x = 20

Furthermore, this can be checked by plugging in 20 to x and seeing if the expression is true.

3(20) + 50 = 6(20) - 10

110 = 110

8 0

3 years ago

In the drawing g>h. which statement about the volumes of the two cylinders is true

Contact [7]

Answer:

The bottom option for ttm

Step-by-step explanation:

The volume of the left-hand cylinder is less than the volume of the right-hand cylinder.

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3 years ago

Solve the system of equations: (1) x - y = 3 (2) 7x - y = -3

arlik [135]

Answer:

x= 70

and y = 67 then

-70-67 =-3

4 0

2 years ago

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3÷3912.00 carry to the hundreth

irga5000 [103]

7.67 is your answer. hope this helps, let me know if you need more help

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2 years ago

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