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3 years ago

Solve for x -2x+3yx=4

Mathematics

1 answer:

AnnyKZ [126]3 years ago

6 0

<h2 /><h2> ➪ SOLVE FOR X</h2>

Answer:

$x \frac{4}{3y - 2}$

<u>Combine all terms containing x.</u>

$\large\color{green}{ \tt{(−2+3y)x=4}}$

<u>The equation is in standard form.</u>

$\large\color{green}{ \tt{(3y−2)x=4}}$

<u>Divide both sides by −2+3y.</u>

$\large\color{green}{ \tt{( 3y - 2 )x / 3y - 2 = 4/ 3y -2}}$

<u>Dividing by −2+3y undoes the multiplication by −2+3y.</u>

$\large\color{green}{ \tt {x 4/3y-2}}$

Hope It's Help

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2. We assume, that x is the value we are looking for.

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3 years ago

the temperature of a cup of coffee obeys newton's law of cooling. The initial temperature of the coffee is 150F and 1 minute lat

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Answer:

Newton's law of cooling says that:

T(t) = Tₐ + (T₀ - Tₐ)*e^(k*t)

or:

$\frac{dT}{dt} = -k*(T - T_a)$

in the differential form.

where:

T is the temperature as a function of time

Tₐ is the ambient temperature, in this case, 70F

T₀ is the initial temperature of the object, in this case, 150F

k is a constant, and we want to find the value of k.

Then our equation is:

T = 70F + (150F - 70F)*e^(k*t)

Now we also know that after a minute, or 60 seconds, the temperature was 135F

then:

135F = 70F + (150F - 70F)*e^(k*60s)

We can solve this for k:

135F = 70F + 80F*e^(k*60s)

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Now we can apply the Ln(x) function to both sides to get:

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Then the differential equation is:

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Answer:

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