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2 years ago

What is the value of the expression

Mathematics

1 answer:

telo118 [61]2 years ago

3 0

Answer:

Step-by-step explanation:

<em>NOTE: If the lines around the equation are absolute value lines, the answer will be the positive version of the answer given. The lines looked like you were just clarifying where the equation was in the sentence, but I could be wrong.</em><em> </em>

First, plug all the numbers in. So it would be (2(3)(-2)^{2} ). Then you would apply the exponant to the -2. So that would be (2(3)(4)). And that equals 24.

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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

3 years ago

The corresponding lengths of two cuboids are 12 and 3. What is the ratio of their volumes?

damaskus [11]

Answer:

I think 4:1 I'm not that sure tho

3 0

2 years ago

My opposite sides are parallel., and equal in length.All of my angles are equal in sides.

brilliants [131]

Hiya!

The answer is: quadrilateral

Every side of a quadrilateral are parralle and has the same length.

A quadrilateral is a 2-dimensional closed shape with four straight sides.

Have a nice day

4 0

3 years ago

Find the coordinates of the other endpoint when you are given the midpoint (point M) and one of the endpoints (point P)

satela [25.4K]

The known endpoint is P = (-16,0)

Let Q = (x,y) be the other endpoint. It is unknown for now.

Looking at the x coordinates of P and Q, we see that they are -16 and x respectively. Adding these values up gives -16+x. Dividing that result by 2 gives (-16+x)/2. This result is exactly equal to the midpoint x coordinate, which is the x coordinate of M (0).

So we have this equation (-16+x)/2 = 0. Let's solve for x

(-16+x)/2 = 0
2*(-16+x)/2 = 2*0
-16+x = 0
x-16 = 0
x-16+16 = 0+16
x = 16

Therefore the x coordinate of point Q is 16.

------------------------------------

Let's do something similar for the y coordinates.

The y coordinates of P and Q are 0 and y respectively. Add them up and divided by 2, then set the result equal to -16 (y coordinate of midpoint M) getting this equation (0+y)/2 = -16

Solve for y

(0+y)/2 = -16
y/2 = -16
2*y/2 = 2*(-16)
y = -32

The y coordinate of point Q is -32

------------------------------------

The point Q goes from (x,y) to (16, -32)

Final Answer: (16, -32)

3 0

2 years ago

An icicle is in the shape of an inverted cone with a diameter of 9 mm and a height of 120 mm. The icicle drips at a rate of 75 m

Veseljchak [2.6K]

Answer:

Step-by-step explanation:

Dont ask here i know ur cheating

6 0

3 years ago

Read 2 more answers