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3 years ago

What are rational numbers and how do you tell the difference between integers? Please answer what are rational numbers first.

Mathematics

1 answer:

Maslowich3 years ago

6 0

1. A rational number is a number that can be written as a fraction.

For example: 1/3, 5/7, 90/666, etc

Note: Any integer can be written as a fraction.

Look:

5 = 5/1 = rational

-14 = -14/1 = rational

2. There is no difference between a rational and integer.

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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

3 0

4 years ago

3 yd 2ft= how many inches?

Marina CMI [18]

36 inches is the answer. GOOD LUCK WITH UR ASSIGNMENT

8 0

3 years ago

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The diagram shows Maha's garden.

Liono4ka [1.6K]

Answer:

perimeter = 71.4 m

Step-by-step explanation:

using the Pythagorean theorem:

CD² = 15.3² + (24 - 13.6)² = 234.09 + 108.16 = 342.25

CD = √342.25 = 18.5

perimeter = 24 + 15.3 + 13.6 + 18.5 = 71.4 m

4 0

3 years ago

40 POINTS!!! WILL MAKE BRAINLIEST FOR FIRST ANSWER TO BE CORRECT!

vredina [299]

Answer:

Step-by-step explanation:

We want to basically find all the points at which the line y = 3 intersects the given graph of g(x).

y = 3 is simply a straight horizontal line intersecting the y-axis at (0, 3). If we draw this line, we will see that it intersects g(x) at 3 different points. This indicates that there are 3 values of x where g(x) = 3.

Hope this helps!

6 0

3 years ago

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8a + 12b = 92 6a – 4b = 4 -- a =? b = ?

Yanka [14]

Answer:

a = 4 b = 5

Step-by-step explanation:

8a + 12b = 92......eqn 1

6a - 4b = 4......eqn 2

multiply eqn 2 by 3

18a - 12b = 12.....eqn 2

add eqn 1 and 2 to eliminate b

26a = 104

a = 4

put a = 4 into eqn 2

18(4) - 12b = 12

72 - 12b = 12

72 - 12 = 12b

60 = 12b

5 = b

6 0

3 years ago