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4 years ago

Write an algebraic expression that represents how many minutes are in "h" hours.

Mathematics

2 answers:

ddd [48]4 years ago

7 0

Hello! Your algebraic expression would be 60h= m
m is total number of minutes. Hope this helps! :)

aniked [119]4 years ago

5 0

('h' hours) x (60 minutes / hour) = 60 'h' minutes

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atroni [7]

Answer:

<h2 />

Step-by-step explanation:

given the differential equation x^4(dy/dx) +x^3y =- sec (xy). Solving using the variable separable method;

$x^{4} \frac{dy}{dx} +x^{3}y = -sec(xy)\\x^{3}(x\frac{dy}{dx} + y) = -sec(xy)\\let \ v=xy\\\frac{dv}{dx} = x\frac{dy}{dx} + y(implicit \ in\ nature)\\$

Substituting v and dv/dx into the equation above we have;

$x^{3}\frac{dv}{dx} = -secv$

Separating the variables:

$-\frac{dv}{secv} = \frac{dx}{x^{3} }$

$-cosvdv = x^{-3}dx\\ integrating\ both\ sides\\-\int\limits {cosv} \, dv = \int\limits {x^{-3} } \, dx\\-sinv = \frac{x^{-2} }{-2} + C\\since\ v = xy\\-sinxy = \frac{x^{-2} }{-2} + C\\2sin(xy) = x^{-2} -2C\\2 sin(xy) = \frac{1}{x^{2} } -K (where\ K = 2C)\\$

The final expression gives the solution to the differential equation.

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3 years ago

2. Multiply and simplify: (x - 2)(2x + 3) Answer

inysia [295]

Step-by-step explanation:

(x - 2)(2x + 3)

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3 years ago

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timama [110]

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Anastaziya [24]

First we'll consider the floor size.
In a 10 by 12 room the longest pipe that will fit lying on the floor equals the hypotenuse of a 10 by 12 triangle:
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Now we have to consider the third dimension (height = 8 feet).
The two sides would be 15.62 and 8
hypotenuse² = 15.62² + 8²
hypotenuse² = 244 + 64 = 308
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So, the longest pipe that would fit in that room would be 17.55 feet long.

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Need someone to answer & explain fast...

torisob [31]

It's true

There is no repeating x values that have different y values

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