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Marat540 [252]
2 years ago
9

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?<br> Enter<br><br> X :<br><br> (Look at the photo)
Anton [14]

Answer:

x = 20

Step-by-step explanation:

<em>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.</em>

3x + 50 = 6x - 10

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

50 = 3x - 10

<em>Move the </em><em>10</em><em> to the left by adding it to both sides.</em>

60 = 3x

<em>Divide the </em><em>3</em><em> from both sides to isolate the </em><em>x.</em>

x = 20

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

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

110 = 110

8 0
3 years ago
In the drawing g&gt;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.

7 0
3 years ago
Solve the system of equations:<br><br> (1) x - y = 3<br><br> (2) 7x - y = -3
arlik [135]

Answer:

x= 70

and y = 67 then

-70-67 =-3

4 0
2 years ago
Read 2 more answers
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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