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3 years ago

Solve each equation for the specified variable dx + t =10 solve for x

Mathematics

2 answers:

Aleks [24]3 years ago

8 0

Answer:

dx + t = 10

dx = 10 - t

x = (10 - t) / d

Katyanochek1 [597]3 years ago

3 0

Answer:

$x=\frac{10-t}{d}$

Step-by-step explanation:

$dx + t =10$

Add $-t$ on both sides.

$dx + t -t=10-t$

$dx=10-t$

Divide both sides by $d$ .

$\frac{dx}{d} =\frac{10-t}{d}$

$x=\frac{10-t}{d}$

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Work out the estimate for the number of times both spinners land on the blue.

iris [78.8K]

Answer:

Step-by-step explanation:

probabilty of both being red= 0.5*0.6

total no of times spinners were spun = 84/(0.5*0.6) = 280

probabilty of both being blue= 0.5*0.4

Estimate = 0.5*0.4*280= 56

5 0

3 years ago

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

Which linear function shows a direct variation?

alexandr402 [8]

Answer:

I think it is C

Step-by-step explanation:

6 0

2 years ago

Last month, when Joe took his puppy to the veterinarian, the puppy weighed 5.4 pounds. This month, the puppy weighed 7.56 pounds

tino4ka555 [31]

<u>Answer:</u>

40%

<u>Step-by-step explanation:</u>

We are given that last month, Joe's puppy weight 5.4 pounds while this month, the puppy weighed 7.56 pounds.

We are to find the percentage increase of the weight of the puppy

We know that the formula of percentage increase if given by:

<em>Percentage increase = (new value - initial value)/initial value × 100</em>

So substituting the given values to get:

Percentage increase in puppy's weight = $\frac{7.56-5.4}{5.4} \times 100$ = 40%

7 0

3 years ago

Andrei [34K]

It is to be noted that the blanks can only be filled with f(x), range, and domain.

<h3>What are the complete sentences?</h3>

The domain of a function is the set of all input values, or x-values, for which the function is defined.

The range of a function is the set of all output values, or y-values, for which the function is defined.

To write the equation y = ax + b in function notation, substitute f(x) for y.

Learn more about domain at:
brainly.com/question/26098895
#SPJ1

3 0

1 year ago