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3 years ago

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Carmine paid an electrician x dollars per hour for a 5-hour job plus $70 for parts. The total charge was $320. Which equation ca

n be used to determine how much the electrician charged per hour *

1 answer:

pentagon [3]3 years ago

4 0

Division is the answer

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6. A tank contains 100-gallon of pure water. At time t = 0, a solution containing 2 lb of salt per gallon flows into the tank at

SOVA2 [1]

Answer:

The answer is below

Step-by-step explanation:

Let Q represent the amount of salt in the tank at time t.

$\frac{dQ}{dt}= flow\ in - flow\ out\\ \\flow\ in=3\ gal/min*2\ lb/gal=6\ lb/min\\\\net\ gain\ in\ tank\ volume=3-4=-1, henceflow\ out= \frac{4Q}{100-t} \\\\\frac{dQ}{dt}= 6-\frac{4Q}{100-t} \\\\\frac{dQ}{dt}+ \frac{4Q}{100-t}=6\\\\The \ integrating\ factor\ is:\\\\IF=e^{\int\limits {\frac{4}{100-t} } \, dt }=e^{-4\int\limits {\frac{-1}{100-t}}=e^{-4ln(100-t)}=(100-t)^{-4}}\\\\Multiplying\ through \ by\ IF: \\\\(100-t)^{-4}\frac{dQ}{dt}+ (100-t)^{-4}\frac{4Q}{100-t}=6(100-t)^{-4}\\\\$

$Integrating:\\\\A(100-t)^{-4}=-2(100-t)^{-3}+c\\\\A=-2(100-t)+\frac{c}{(100-t)^{-4}} \\\\at, t=0,A=0\\\\0=-2(100-0)+\frac{c}{(100-0)^{-4}}\\\\c=0.02\\\\A=-2(100-t)+\frac{0.02}{(100-t)^{-4}}$

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3 years ago

Diane keeps all of her toys on a shelf. The shelf is 24" long and 7" wide. If the wdith the shelf is doubled, what would happen

goblinko [34]

Step-by-step explanation:

Given that,

The length of the shelf = 24 inches

The width of the shelf = 7 inches

Area of the shelf, A = 24 × 7

= 168 inch²

When the width of the shelf is doubles,

New width = 14 inch

New area, A' = 14×24

= 336 inch²

It means,

A' = 2(A)

So, the new area becomes 336 inch² i.e. twice the initial area.

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3 years ago

Se hizo un estudio entre los estudiantes de Licenciatura en ingeniería de software y sistemas computacionales, a 40 de estos est

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Ok I just got off the work with and my my phone phone is died I have got to to get get up up ok ok

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3 years ago

The area of a square is 50 square meters. Which best represents the length of one side of the square?

Reika [66]

Answer:

7.1

Step-by-step explanation:

A = s**2

50 = s**2

s = 50**(1/2) = 7.07 rounded = 7.1

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3 years ago

How many dimensions does a polygon have?

Verdich [7]

A polygon is a 2-dimension figure....

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3 years ago

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