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Burka [1]
3 years ago
6

Jenny drove 169 miles in 3 hours and 30 minutes how many is it in miles per minute

Mathematics
2 answers:
ddd [48]3 years ago
7 0
Convert 3 hours and 30 minutes all into minutes so that would be 210 minutes. You then have 169 miles / 210 minutes. Get the denominator to 1 minutes by dividing by 210 to the top and bottom and you'll get .080476 miles / 1 minute which is the answer.
sweet [91]3 years ago
3 0

There is 60 minutes in an hour so 210minutes

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Answer:

A

Step-by-step explanation:

b must always be greater than 0 since 12b-15 must always be greater than 21. You can simplify the ineqaulity to see things easier; 12b>36. Again, this ineqaulity can be simplified; b>3. A is the closest answer here, but there should be an open interval at 3 for A to be correct.

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What is a prime number out of the numbers above?
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Write √3 x √6 in the form b√2 where b is an integer
bagirrra123 [75]

Answer:

3√2

Step-by-step explanation:

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= √3×6

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EXAMPLE 5 If F(x, y, z) = 4y2i + (8xy + 4e4z)j + 16ye4zk, find a function f such that ∇f = F. SOLUTION If there is such a functi
Valentin [98]

If there is such a scalar function <em>f</em>, then

\dfrac{\partial f}{\partial x}=4y^2

\dfrac{\partial f}{\partial y}=8xy+4e^{4z}

\dfrac{\partial f}{\partial z}=16ye^{4z}

Integrate both sides of the first equation with respect to <em>x</em> :

f(x,y,z)=4xy^2+g(y,z)

Differentiate both sides with respect to <em>y</em> :

\dfrac{\partial f}{\partial y}=8xy+4e^{4z}=8xy+\dfrac{\partial g}{\partial y}

\implies\dfrac{\partial g}{\partial y}=4e^{4z}

Integrate both sides with respect to <em>y</em> :

g(y,z)=4ye^{4z}+h(z)

Plug this into the equation above with <em>f</em> , then differentiate both sides with respect to <em>z</em> :

f(x,y,z)=4xy^2+4ye^{4z}+h(z)

\dfrac{\partial f}{\partial z}=16ye^{4z}=16ye^{4z}+\dfrac{\mathrm dh}{\mathrm dz}

\implies\dfrac{\mathrm dh}{\mathrm dz}=0

Integrate both sides with respect to <em>z</em> :

h(z)=C

So we end up with

\boxed{f(x,y,z)=4xy^2+4ye^{4z}+C}

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