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Sedaia [141]
3 years ago
7

Subtract. (9x² + 5x² + 5x – 3) - (8x - 2)

Mathematics
1 answer:
Afina-wow [57]3 years ago
5 0

Answer:

=14x² −3x −1

Step-by-step explanation:

simplifying step-by-step.

9x2+5x2+5x−3−(8x−2)

Distribute the Negative Sign:

=9x2+5x2+5x−3+−1(8x−2)

=9x2+5x2+5x+−3+−1(8x)+(−1)(−2)

=9x2+5x2+5x+−3+−8x+2

Combine Like Terms:

=9x2+5x2+5x+−3+−8x+2

=(9x2+5x2)+(5x+−8x)+(−3+2)

=14x2+−3x+−1

Answer:

=14x2−3x−1

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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

so

\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}

so

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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3 years ago
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Capacity of the pool = 30 x 20 x  5 = 3000 ft³

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Answer: 600 ft² of water is needed to fill up the pool.
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