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3 years ago

1/3 times 3.14 times 16 times 6 rounded two decimal places

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

5 0

The answer is 100.48

(If you are actually multiplying by pi rather than 3.14, then the answer is 100.53)

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Transform the equation to isolate x: ax=bx+1. How is the value of x related to the difference of a and b

nasty-shy [4]

Answer:

x is the reciprocal of the difference of a and b.

Step-by-step explanation:

ax=bx+1

Subtract by bx on both sides

ax-bx=1

x(a-b)=1

x= 1/(a-b)

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2 years ago

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lianna [129]

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3 years ago

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A square with a side length of 5 inches has a area of 25 in<br><br> true or false

Goryan [66]

Answer:

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3 years ago

Show that d^2y/dx^2=-2x/y^5, if x^3 + y^3=1

aalyn [17]

Answer:

y³ + x³ = 1

First, differentiate the first time, term by term:

${3y^{2}.\frac{dy}{dx} + 3x^{2}} = 0 \\\\{3y^{2}.\frac{dy}{dx} = -3x^{2}} \\\\\frac{dy}{dx} = \frac{-3x^{2}}{3y^{2}} \\\\\frac{dy}{dx} = \frac{-x^{2}}{y^{2}}$

↑ we'll substitute this later (4th step onwards)

Differentiate the second time:

$3y^{2}.\frac{dy}{dx} + 3x^{2} = 0 \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{dy}{dx})^{2} + 6x = 0 \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{dy}{dx})^{2} = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{-x^{2} }{y^{2} })^{2} = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{x^{4} }{y^{4} }) = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + \frac{6x^{4} }{y^{3} } = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} = - 6x - \frac{6x^{4} }{y^{3} } \\\\$

$3y^{2}.\frac{d^{2} y}{dx^{2}} = - \frac{- 6xy^{3} - 6x^{4} }{y^{3}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{- 6xy^{3} - 6x^{4} }{3y^{2}. y^{3}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{- 2xy^{3} - 2x^{4} }{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{-2x (y^{3} + x^{3})}{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{-2x (1)}{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{-2x}{y^{5}}$

3 0

3 years ago

Help! Will give lots of points!

Papessa [141]

JKLM is a parallelogram and is split into 4 equal parts. So the lines are equal and opposite angles are equal too.
3. NM is 2, because KN=NM, and KN is 2
4. KM is 4, if we add KN and NM, we’ll do 2+2 which is 4
5. m6. m

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3 years ago

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