3 years ago

What is the sum of two rational numbers?

Mathematics

2 answers:

kogti [31]3 years ago

6 0

The sum of two rational numbers is rational.

Hope it helps!!

ZanzabumX [31]3 years ago

3 0

A rational answer 2 + 2 = 4

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asambeis [7]

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2 years ago

The model builder has 4 pieces of balsa wood that are 4 cm, 5 cm, 6 cm, and 7 cm length. How many different combinations of 3 pi

s2008m [1.1K]

About 22 i think hope it helps in any way

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3 years ago

Suppose that surface σ is parameterized by r(u,v)=⟨ucos(3v),usin(3v),v⟩, 0≤u≤7 and 0≤v≤2π3 and f(x,y,z)=x2+y2+z2. Set up the sur

Bad White [126]

Looks like you have most of the details already, but you're missing one crucial piece.

$\sigma$ is parameterized by

$\vec r(u,v)=\langle u\cos3v,u\sin3v,v\rangle$

for $0\le u\le7$ and $0\le v\le\frac{2\pi}3$ , and a normal vector to this surface is

$\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}=\left\langle\sin3v,-\cos3v,3u\right\rangle$

with norm

$\left\|\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}\right\|=\sqrt{\sin^23v+(-\cos3v)^2+(3u)^2}=\sqrt{9u^2+1}$

So the integral of $f(x,y,z)=x^2+y^2+z^2$ is

$\displaystyle\iint_\sigma f(x,y,z)\,\mathrm dA=\boxed{\int_0^{2\pi/3}\int_0^7(u^2+v^2)\sqrt{9u^2+1}\,\mathrm du\,\mathrm dv}$

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3 years ago

What expression is equivalent to 5y^-3?

sineoko [7]

Answer:

$\frac{5}{y^{3}}$

Step-by-step explanation:

apply exponent rule:

$a^{-b}=\frac{1}{a^b}$

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3 years ago

A study showed that 7/10 of the human body weight is water. If a person weighs 140 pounds, how many pounds is water?

dmitriy555 [2]

Answer:

Step-by-step explanation:

it would be 70 percent of 140

3 0

3 years ago

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