The time is takes to drive between two cities varies inversely

Mathematics

1 answer:

zmey [24]3 years ago

8 0

Answer:

3.5 hour driving at 65 miles per hour

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Solve the differential equations dy/dx=((xy^2)+x)/y

arsen [322]

$\displaystyle \dfrac{dy}{dx}=\dfrac{xy^2+x}{y}\\ \dfrac{dy}{dx}=\dfrac{x(y^2+1)}{y}\\ \dfrac{y}{y^2+1}\, dy=x\, dx\\ \int \dfrac{y}{y^2+1}\, dy=\int x\, dx\\ \dfrac{\ln (y^2+1)}{2}=\dfrac{x^2}{2}+C\\ \ln(y^2+1)=x^2+C\\ y^2+1=e^{x^2+C}\\ y^2=e^{x^2+C}-1\\ y=\sqrt{e^{x^2+C}-1} \vee y=-\sqrt{e^{x^2+C}-1}\\ \boxed{y=\sqrt{Ce^{x^2}-1} \vee y=-\sqrt{Ce^{x^2}-1}}\\$

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3 years ago

What is 24/16 in simplest form?

-Dominant- [34]

Well you can divide by 8 and it gives you 3/2or you can divide by 4 and get 6/4 then divide by 2 and get 3/2 either way there both correct

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3 years ago

What is the solution to the expression –2 – 3 – (–4)?

Contact [7]

-2 - 3 -(-4)= -2 - 3 + 4
-2 - 3 + 4
-5 + 4
= -1

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3 years ago

Read 2 more answers

A set has 62 proper subsets how many elements has it for?<br>

MrRissso [65]

Answer:

Step-by-step explanation:

Total number of subsets is given as

${2}^{n}$

But the subset of a set consists of the proper subsets, an empty set and the set itself.

Total number of subsets are 64

Therefore,

${2}^{n} = 64$

${2}^{n} = {2}^{6}$

Comparing both sides

$n = 6$

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3 years ago

Land once connecting asia and north america

Whitepunk [10]

The land bridge, It includes the Chukchi Sea, the Bering Sea, the Bering Strait, the Chukchi and Kamchatka Peninsulas in Russia as well as Alaska in the United States. The area includes land lying on the North American Plate and Siberian land east of the Chersky Range.

You could've just looked it up dude.

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3 years ago