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4 years ago

X + y + z = 7 2x − y + z = 7 3x − z = 2

1 answer:

7 0

A) X + y + z = 7
B) 2x − y + z = 7

C) 3x − z = 2
C) z = 3x -2 Substituting this into equations A) and B)


A) X + y + 3x -2 = 7
B) 2x − y + 3x -2 = 7 Adding A and B
3x + 6x -4 = 14
9x = 18
x = 2
Since x = 2 then
A) 2 + y + 6 -2 = 7
A) y = 1

A) X + y + z = 7
A) 2 + 1 + z = 7
z = 4

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A string passing over a smooth pulley carries a stone at one end. While its other end is attached to a vibrating tuning fork and

nasty-shy [4]

Answer:

correct option is C) 2.8

Step-by-step explanation:

given data

string vibrates form = 8 loops

in water loop formed = 10 loops

solution

we consider mass of stone = m

string length = l

frequency of tuning = f

volume = v

density of stone = $\rho$

case (1)

when 8 loop form with 2 adjacent node is $\frac{\lambda }{2}$

so here

$l = \frac{8 \lambda _1}{2}$ ..............1

$l = 4 \lambda_1\\\\\lambda_1 = \frac{l}{4}$

and we know velocity is express as

velocity = frequency × wavelength .....................2

$\sqrt{\frac{Tension}{mass\ per\ unit \length }}$ = f × $\lambda_1$

here tension = mg

$\sqrt{\frac{mg}{\mu}}$ = f × $\lambda_1$ ..........................3

and

case (2)

when 8 loop form with 2 adjacent node is $\frac{\lambda }{2}$

$l = \frac{10 \lambda _1}{2}$ ..............4

$l = 5 \lambda_1\\\\\lambda_1 = \frac{l}{5}$

when block is immersed

equilibrium eq will be

Tenion + force of buoyancy = mg

T + v × $\rho$ × g = mg

and

T = v × $\rho$ - v × $\rho$ × g

from equation 2

f × $\lambda_2$ = f × $\frac{1}{5}$

$\sqrt{\frac{v\rho _{stone} g - v\rho _{water} g}{\mu}} = f \times \frac{1}{5}$ .......................5

now we divide eq 5 by the eq 3

$\sqrt{\frac{vg (\rho _{stone} - \rho _{water})}{\mu vg \times \rho _{stone}}} = \frac{fl}{5} \times \frac{4}{fl}$

solve irt we get

$1 - \frac{\rho _{stone}}{\rho _{water}} = \frac{16}{25}$

relative density $\frac{\rho _{stone}}{\rho _{water}} = \frac{25}{9}$

relative density = 2.78 ≈ 2.8

so correct option is C) 2.8

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4 years ago

If E = [9, -6], what is the length of E.

Marrrta [24]

Answer:

Step-by-step explanation:

Interval E contains (9,8,7,6,5,4,3,2,1,0,-1,-2,-3,-4,-5,-6)

so the numbers of the interval equals 16

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3 years ago

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What is the largest divisor of 342 that is also a factor of 285?

Scilla [17]

Answer:57

Step-by-step explanation:

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3 years ago

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elena55 [62]

Answer:

5000

Step-by-step explanation:

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3 years ago

GEOMETRY!!!! K' (6,5) is the image of K after a reflection in the line y=2. what are the coordinates of K

frutty [35]

Given:

The coordinates of point K' are (6,5).

K' is the image of K after a reflection in the line y=2.

To find:

The coordinates of point K.

Solution:

Let the coordinates of point K are (a,b).

If a figure is reflected over the line y=2, then

$(x,y)\to (x,2(2)-y)$

$(x,y)\to (x,4-y)$

Using this formula, the coordinates of image of K are

$K(a,b)\to K'(a,4-b)$

The coordinates of point K' are (6,5).

$K'(a,4-b)=K'(6,5)$

On comparing both sides, we get

$a=6\text{ and }4-b=5$

$a=6\text{ and }-b=5-4$

$a=6\text{ and }-b=1$

$a=6\text{ and }b=-1$

Therefore, the coordinates of point K are (6,-1).

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3 years ago