All categories

3 years ago

Select the number property that will justify the step in the following expression.

Mathematics

2 answers:

Airida [17]3 years ago

7 0

Two of the numbers were switched in a multiplication equation, so the answer would be commutative- multiplication.

LekaFEV [45]3 years ago

4 0

<h2>Answer:</h2>

The number property that justifies the step in the following expression is:

Commutative-Multiplication

<h2>Step-by-step explanation:</h2>

We are given a steps to solve the problem as follows:

4 • 13 • 25 =

4 • 25 • 13 =

100 • 13 = 1,300

We know that the commutative property under multiplication states that:

If a and b are two real numbers then:

$a\cdot b=b\cdot a$

i.e. the multiplication of two real numbers are always equal no matter in which order they are applied.

Here in the second step the order 13 and 25 are changed.

and then they are operated.

<em> Hence, the property is:</em>

<em> Commutative-Multiplication.</em>

You might be interested in

What fraction did she spend on petrol ,she spent £30 on petrol in total ,how much did she spend

barxatty [35]

If there is a graph or something that you can show me, I'd be more than happy to help you.

4 0

3 years ago

Calculate the average rate of change over the intervals [0, 20] and [60, 80]. What does the average rate on these intervals tell

Assoli18 [71]

$\frac{20 - 80}{0 - 60 } = slope \: or the \: rate \: of \: \\ change \: \\ \\ \frac{ - 60}{ - 60} = 1$
It tells you that over these intervals the balloon is going at a constant speed.

4 0

3 years ago

Use the divergence theorem to calculate the surface integral s f · ds; that is, calculate the flux of f across s. f(x, y, z) = x

valkas [14]

$\mathbf f(x,y,z)=x^4\,\mathbf i-x^3z^2\,\mathbf j+4xy^2z\,\mathbf k$
$\mathrm{div}(\mathbf f)=\dfrac{\partial(x^4)}{\partial x}+\dfrac{\partial(-x^3z^2)}{\partial y}+\dfrac{\partial(4xy^2z)}{\partial z}=4x^3+0+4xy^2=4x(x^2+y^2)$

Let $\mathcal D$ be the region whose boundary is $\mathcal S$ . Then by the divergence theorem,

$\displaystyle\iint_{\mathcal S}\mathbf f\cdot\mathrm d\mathbf S=\iiint_{\mathcal D}4x(x^2+y^2)\,\mathrm dV$

Convert to cylindrical coordinates, setting

$x=r\cos\theta$
$y=r\sin\theta$

and keeping $z$ as is. Then the volume element becomes

$\mathrm dV=r\,\mathrm dr\,\mathrm d\theta\,\mathrm dz$

and the integral is

$\displaystyle\iiint_{\mathcal D}4x(x^2+y^2)\,\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}\int_{z=0}^{z=r\cos\theta+7}4r\cos\theta\cdot r^2\cdot r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle4\iiint_{\mathcal D}r^4\cos\theta\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\dfrac{2\pi}3$

4 0

4 years ago

Antisocial personality disorder (ASPD) is characterized by deceitfulness, reckless disregard for the well-being of others, a dim

defon

my brain can't process this lol

7 0

3 years ago

Is this happening to anybody else? Why are there ad's to unlock answers it is annoying

kap26 [50]

I don’t have to have ads. When I wasn’t signed up I had to but I logged in and now I don’t have to watch ads.

6 0

3 years ago

Read 2 more answers