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Elenco
Calcola
\frac{625}{36}\approx 17.361111111
3
6
6
2
5
≈
1
7
.
3
6
1
1
1
1
1
1
1
Visualizza i passaggi della soluzione
Procedura della soluzione
{ \left( \frac{ 15 }{ 3.6 } \right) }^{ 2 }
(
3
.
6
1
5
)
2
Espandi \frac{15}{3.6} moltiplicando numeratore e denominatore per 10.
Espandi
3
.
6
1
5
moltiplicando numeratore e denominatore per
1
0
.
\left(\frac{150}{36}\right)^{2}
(
3
6
1
5
0
)
2
Riduci la frazione \frac{150}{36} ai minimi termini estraendo e annullando 6.
Riduci la frazione
3
6
1
5
0
ai minimi termini estraendo e annullando
6
.
\left(\frac{25}{6}\right)^{2}
(
6
2
5
)
2
Calcola \frac{25}{6} alla potenza di 2 e ottieni \frac{625}{36}.
Calcola
6
2
5
alla potenza di
2
e ottieni
3
6
6
2
5
.
\frac{625}{36}
3
6
6
2
5
Scomponi in fattori
\frac{5 ^ {4}}{2 ^ {2} \cdot 3 ^ {2}} = 17\frac{13}{36} \approx 17.361111111
2
2
⋅
3
2
5
4
=
1
7
3
6
1
3
≈
1
7
.
3
6
1
1
1
1
1
1
1
Quiz
Arithmetic
5 problemi simili a:
{ \left( \frac{ 15 }{ 3.6 } \right) }^{ 2 }
(
3
.
6
1
5
)
2
Problemi simili da ricerca Web
What is the remainder of \frac{2^{2015}}{36}?
What is the remainder of
3
6
2
2
0
1
5
?
https://math.stackexchange.com/questions/1564191/what-is-the-remainder-of-frac2201536
Since \gcd(2,9) = 1, we have from Euler's theorem, that 2^{\phi(9)} \equiv 1 \pmod{9} \implies 2^6 \equiv 1 \pmod{9} This gives us that 2^{2010} \equiv 1 \pmod9 \implies 2^{2015} \equiv 2^5 \pmod9 \equiv 5 \pmod9 ...
Since
g
cd
(
2
,
9
)
=
1
, we have from Euler's theorem, that
2
ϕ
(
9
)
≡
1
(
m
o
d
9
)
⟹
2
6
≡
1
(
m
o
d
9
)
This gives us that
2
2
0
1
0
≡
1
(
m
o
d
9
)
⟹
2
2
0
1
5
≡
2
5
(
m
o
d
9
)
≡
5
(
m
o
d
9
)
...
Probability question (Birthday problem)
Probability question (Birthday problem)
https://math.stackexchange.com/questions/140242/probability-question-birthday-problem
The basic idea was right, and a small modification is enough. Line up the people in some arbitrary order. There are, under the usual simplifying assumption that the year has 365 days, 365^{23} ...
The basic idea was right, and a small modification is enough. Line up the people in some arbitrary order. There are, under the usual simplifying assumption that the year has
3
6
5
days,
3
6
5
2
3
...
Probability of Getting a Yahtzee of Fives Given Two Fives
Probability of Getting a Yahtzee of Fives Given Two Fives
https://math.stackexchange.com/questions/1826535/probability-of-getting-a-yahtzee-of-fives-given-two-fives
Notice that this expression is in the form of: a^3+3ba^2+3b^2a+b^3 This is a form that you might see a lot in math problems like this, so you'll simply have to learn to recognize it, just like ...
Notice that this expression is in the form of:
a
3
+
3
b
a
2
+
3
b
2
a
+
b
3
This is a form that you might see a lot in math problems like this, so you'll simply have to learn to recognize it, just like ...
n-sect using bisection geometrically.
n
-sect using bisection geometrically.
https://math.stackexchange.com/q/2737093
Minor mistake in (b)(i)To get \frac14 of the original length, you need two bisections as you have stated in part (a). For part (b)(ii), copy AD n times. if n=3, copy it 3 times. The ...
Minor mistake in
(
b
)
(
i
)
To get
4
1
of the original length, you need two bisections as you have stated in part
(
a
)
. For part
(
b
)
(
i
i
)
, copy
A
D
n
times. if
n
=
3
, copy it
3
times. The ...
Exponents Question
Exponents Question
https://www.helpteaching.com/questions/173852/61563
1/6^12 1/6^18 6^5 6^12
1
/
6
1
2
1
/
6
1
8
6
5
6
1
2
Largest integer less than 2013 obtained by repeatedly doubling an integer x.
Largest integer less than
2
0
1
3
obtained by repeatedly doubling an integer
x
.
https://math.stackexchange.com/questions/1885216/largest-integer-less-than-2013-obtained-by-repeatedly-doubling-an-integer-x
If you start with a number less than 100, you can double it at least 4 times without exceeding 2012, so the answer must be a multiple of 2^4=16. The largest multiple of 16 less than 2013 ...
If you start with a number less than
1
0
0
, you can double it at least
4
times without exceeding
2
0
1
2
, so the answer must be a multiple of
2
4
=
1
6
. The largest multiple of
1
6
less than
2
0
1
3
...
Altri Elementi
Condividi
Copia
Copiato negli Appunti
\left(\frac{150}{36}\right)^{2}
Espandi \frac{15}{3.6} moltiplicando numeratore e denominatore per 10.
\left(\frac{25}{6}\right)^{2}
Riduci la frazione \frac{150}{36} ai minimi termini estraendo e annullando 6.
\frac{625}{36}
Calcola \frac{25}{6} alla potenza di 2 e ottieni \frac{625}{36}.
Esempi
Equazione quadratica
{ x } ^ { 2 } - 4 x - 5 = 0
x
2
−
4
x
−
5
=
0
Trigonometria
4 \sin \theta \cos \theta = 2 \sin \theta
4
sin
θ
cos
θ
=
2
sin
θ
Equazione lineare
y = 3x + 4
y
=
3
x
+
4
Aritmetica
699 * 533
6
9
9
∗
5
3
3
Matrice
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
[
2
5
3
4
]
[
2
−
1
0
1
3
5
]
Equazione simultanea
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
{
8
x
+
2
y
=
4
6
7
x
+
3
y
=
4
7
Differenziazione
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
d
x
d
(
x
−
5
)
(
3
x
2
−
2
)
Integrazione
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
∫
0
1
x
e
−
x
2
d
x
Limiti
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}
x
→
−
3
lim
x
2
+
2
x
−
3
x
2
−
9
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