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3 years ago

What is the 10th term -4, 12, -36, 108

Mathematics

1 answer:

kolezko [41]3 years ago

3 0

Step-by-step explanation:

One number to the next is multiplied by -3, the first term is -4, second 12, third -36, fourth 108, keep going

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Write and then solve for the differential equation for the statement: "The rate of change of y with respect to x is inversely pr

lisabon 2012 [21]

Given that the rate of change of y with respect to x is inversely proportional to y². Its equation can be written as :-

$\frac{dy}{dx} = \frac{k}{y^{2}}$

where 'k' is the proportionality constant, it can take any real value.

We can solve it by integrating the above equation with respect to x.

Rewriting and rearranging the terms of above equation :-

$\frac{dy}{dx} = \frac{k}{y^{2}}$

y²·dy = k·dx

Integrating both sides :-

∫ y²·dy = ∫ k·dx

$\frac{y^{3}}{3}$ = k·x

y³ = 3·k·x + C

where C is the constant of integration.

So, y³ = 3·k·x + C is the final answer.

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4 years ago

What is the product of (x+3) (3x -2)?

velikii [3]

Answer:

3x²+7x-6

Step-by-step explanation:

Original Equation;

(x+3)(3x-2)

Multiply the first term by the second term.

x(3x-2)+3(3x-2)

Multiply x by 3x and x by -2

3x²-2x+3(3x-2)

And then multiply 3 by 3x and 3 by -2

3x²-2x+9x-6

Group like terms

3x²-2x+9x-6

Simplify

3x²+7x-6

(x+3)(3x-2)

x(3x-2)+3(3x-2)

3x²-2x+9x-6

3x²+7x-6

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3 years ago

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solniwko [45]

Area = 64π

Circumference = 2πr or πd

diameter = 16 (Diameter times π = 16π so this is obvious)

radius = diameter divided by 2 = 8

Area = πr², so π times 8² = π times 64 = 64π

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