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3 years ago

What makes this number special 8549176230

Mathematics

1 answer:

mr_godi [17]3 years ago

8 0

Uhm hope this help (:

8,549,176,320 What makes this number unique? Answer: The said number has all the numbers from 0-9 exactly once and what is special is they are in lexicographical order of their English words.

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Find the position vector R(t) and velocity vector V(t), given the acceleration A(t) and initial position and velocity vectors R(

valentina_108 [34]

The fundamental theorem of calculus tells us that

$\vec v(t)=\vec v(0)+\displaystyle\int_0^t\vec a(u)\,\mathrm du$

$\vec r(t)=\vec r(0)+\displaystyle\int_0^t\vec v(u)\,\mathrm du$

So we have

$\vec v(t)=(\vec\imath-\vec\jmath-2\,\vec k)+\displaystyle\int_0^t(u^2\,\vec\imath-2u^{1/2}\,\vec\jmath+e^{3u}\,\vec k)\,\mathrm du$

$\vec v(t)=(\vec\imath-\vec\jmath-2\,\vec k)+\left(\dfrac{u^3}3\,\vec\imath-\dfrac{4u^{3/2}}3\,\vec\jmath+\dfrac{e^{3u}}3\,\vec k\right)\bigg|_0^t$

$\vec v(t)=\dfrac{t^3+3}3\,\vec\imath-\dfrac{4t^{3/2}+3}3\,\vec\jmath+\dfrac{e^{3t}-7}3\,\vec k$

and

$\vec r(t)=(2\,\vec\imath+\vec\jmath-\vec k)+\displaystyle\int_0^t\left(\frac{u^3+3}3\,\vec\imath-\frac{4u^{3/2}+3}3\,\vec\jmath+\frac{e^{3u}-7}3\right)\,\mathrm du$

$\vec r(t)=(2\,\vec\imath+\vec\jmath-\vec k)+\left(\dfrac{u^3+12u}{12}\,\vec\imath-\dfrac{8u^{5/2}+15u}{15}\,\vec\jmath+\dfrac{e^{3u}-21u}9\,\vec k\right)\bigg|_0^t$

$\vec r(t)=\dfrac{t^3+12t+24}{12}\,\vec\imath-\dfrac{8t^{5/2}+15t-15}{15}\,\vec\jmath+\dfrac{e^{3t}-21t-10}9\,\vec k$

3 0

4 years ago

A right triangle has side lengths of 20, 21, and 29 centimeters. The angle formed at the intersection of the 21 cm and 29 cm sid

Volgvan

The answer is 20/29 and 21-29

4 0

3 years ago

Plz help me solve this

e-lub [12.9K]

Answer:

$=2x^{5} y^{5} \sqrt{7}$

Step-by-step explanation:

8 0

3 years ago

There are 50 questions on a test and you answer 36. what % of questions did you answer

o-na [289]

36*2=72
50*2=100
72/100=72%

6 0

3 years ago

NEED HELP AND QUICKKK!!!!!!!!!!!!

Montano1993 [528]

Answer:

(5). $Finial\ amount(A)=\$3619.80$

(6). $a=5,\ b=0.5$

(7). $A=33236$

Step-by-step explanation:

(5).

$Monthly\ compound\ interst\ is\ given\ by\\\\A=P\left(1+\frac{r}{n}\right)^{nt}\\\\Where\ A= Final\ amount\\\\P= Initial\ amount\\\\r=annual\ interest\ rate\\\\n=number\ of\ times\ interest\ is\ compounded\ per\ unit\\\\t=time\ in\ year\\\\Given,\\\\Initial\ amount\ (P)=\$ 3500\\\\annual\ interest\ rate\ (r)=6.75\%\\\\t=6\ month=\frac{1}{2}\ year\\\\n=12\\\\A=3500\left(1+\frac{6.75}{12\times 100}\right)^{\frac{1}{2}\times 12}\\\\A=3500\left(1+0.005625\right)^6\\\\A=3500(1.005625)^6\\\\$

$A=3500\times 1.03422818\\\\A=\$3619.80$

(6).

$Exponential\ decay\ formula\ is\ given\ by\\\\y=a(1-b)^x\\\\Where\ (a)\ is\ initial\ amount\ and\ (b)\ is\ decay\ factor\\\\Given,\\\\y=5\times(0.5)^x\\\\y=5\times(1-0.5)^x\\\\compare\ with\ exponential\ decay\ formula\\\\a=5,\ b=0.5$

(7).

$Given,\\\\Initial\ population=45000\\\\annual\ decrease=2\%\\\\n=15\ years\\\\ Decrease\ population\ is\ given\ by\\\\A=P\left(1-\frac{r}{100}\right)^n\\\\Where\ P\ is\ initial\ population\ r\ is\ decrease\ rate\ and\ n\ is\ number\ of\ years\\\\A=45000\left(1-\frac{2}{100}\right)^{15}\\\\A=45000(0.98)^{15}\\\\A=45000\times 0.738569\\\\A=33235.60\\\\A\approx 33236$

3 0

4 years ago

What makes this number special 8549176230​

What makes this number special 8549176230