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alexandr402 [8]
3 years ago
7

2n + 4n = 42 Answer: the value of n is .....

Mathematics
2 answers:
jeka57 [31]3 years ago
7 0

Answer: 7

Step-by-step explanation:

4x7= 28 and 2x7=14

14+28= 42

Gennadij [26K]3 years ago
5 0

Answer:

7

Step-by-step explanation:

2n + 4n = 6n, adding like terms

6n = 42

6n/6 = 42/6

n = 7

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3 years ago
Find an explicit solution of the given initial-value problem.dy/dx = ye^x^2, y(3) = 1.
tamaranim1 [39]

Answer:

y=exp(\int\limits^x_4 {e^{-t^{2} } } \, dt)

Step-by-step explanation:

This is a separable equation with an initial value i.e. y(3)=1.

Take y from right hand side and divide to left hand side ;Take dx from left hand side and multiply to right hand side:

\frac{dy}{y} =e^{-x^{2} }dx

Take t as a dummy variable, integrate both sides with respect to "t" and substituting x=t (e.g. dx=dt):

\int\limits^x_3 {\frac{1}{y} } \, \frac{dy}{dt} dt=\int\limits^x_3 {e^{-t^{2} } } dt

Integrate on both sides:

ln(y(t))\left \{ {{t=x} \atop {t=3}} \right. =\int\limits^x_3 {e^{-t^{2} } } \, dt

Use initial condition i.e. y(3) = 1:

ln(y(x))-(ln1)=\int\limits^x_3 {e^{-t^{2} } } \, dt\\ln(y(x))=\int\limits^x_3 {e^{-t^{2} } } \, dt\\

Taking exponents on both sides to remove "ln":

y=exp (\int\limits^x_3 {e^{-t^{2} } } \, dt)

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3 years ago
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Answer:

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Step-by-step explanation:

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4 0
4 years ago
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Leokris [45]

Answer:

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Step-by-step explanation:

we know that,

1 lb = 16oz

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7 0
3 years ago
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Rom4ik [11]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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