Write two different word phrases that mean the same thing, but stated differently.

Mathematics

1 answer:

fiasKO [112]3 years ago

4 0

Six times a number plus five is equal to seventeen.

Five added to the product of six and a number is seventeen.

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How is a rational number that is not an interger different from a rational number when it's interger

KATRIN_1 [288]

Integer are whole numbers like 3,18,34 and 256 rational numbers are any numbers which can be expressed as a ratio of two integers -3/4 is a rational numbers 124.45 is a rational number.in other words,rational numbers INCLUDE all integers.fraction are rational numbers

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4 years ago

Which ordered pair makes the equation false?

Galina-37 [17]

Answer:

Hi! The correct answer is J and G!

Step-by-step explanation:

<u><em>~I graphed it and it gave me 2 points that we're on this list that were apart of the equation so what wasn't in the equation i wrote here~</em></u>

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3 years ago

Read 2 more answers

Consider the force field and circle defined below.

grin007 [14]

By Green's theorem,

$\displaystyle\int_{x^2+y^2=9}\vec F(x,y)\cdot\mathrm d\vec r=\iint_D\left(\frac{\partial(xy)}{\partial x}-\frac{\partial(x^2)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=\iint_Dy\,\mathrm dx\,\mathrm dy$

where $C$ is the circle $x^2+y^2=9$ and $D$ is the interior of $C$ , or the disk $x^2+y^2\le1$ .

Convert to polar coordinates, taking

$\begin{cases}x=r\cos\theta\\y=r\sin\theta\end{cases}\implies\mathrm dx\,\mathrm dy=r\,\mathrm dr\,\mathrm d\theta$

Then the work done by $\vec F$ on the particle is

$\displaystyle\iint_Dy\,\mathrm dx\,\mathrm dy=\int_0^{2\pi}\int_0^3(r\sin\theta)r\,\mathrm dr\,\mathrm d\theta=\left(\int_0^{2\pi}\sin\theta\,\mathrm d\theta\right)\left(\int_0^3r^2\,\mathrm dr\right)=\boxed0$