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3 years ago

What is the prime factorization for the number 20 using exponents

Mathematics

1 answer:

Alexxandr [17]3 years ago

3 0

Prime factorization of 2·5·2=2^2·5

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Find the distance between the two points given

Hunter-Best [27]

Answer:

6√2

Step-by-step explanation:

from the graph the coordinates of the points are (2, 5) and (- 4, -1)

the distance is d= √(x2-x1)²+(y2-y1)² = √(-4-2)²+(-1-5)²=√72 = √2*2*2*3*3= 6√2

8 0

3 years ago

What is the greatest common divisor of 33489, 3948, and 3949

storchak [24]

33489 = 32×612

3948 = 22×3×7×47

3949 = 11×359

GCD = 1

33489 / 1 = 33489

3948 / 1 = 3948

3949 / 1 = 3949

3 0

2 years ago

Please help! which sentence explains why the moon can be seen from the earth at night?

pav-90 [236]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What fraction is 20sec of 2 minutes

blondinia [14]

Answer:

1/6

Step-by-step explanation:

20 sec of 120 sec = 20/120 = 1/6

6 0

2 years ago

Find a linear second-order differential equation f(x, y, y', y'') = 0 for which y = c1x + c2x3 is a two-parameter family of solu

Alisiya [41]

Let $y=C_1x+C_2x^3=C_1y_1+C_2y_2$ . Then $y_1$ and $y_2$ are two fundamental, linearly independent solution that satisfy

$f(x,y_1,{y_1}',{y_1}'')=0$
$f(x,y_2,{y_2}',{y_2}'')=0$

Note that ${y_1}'=1$ , so that $x{y_1}'-y_1=0$ . Adding $y''$ doesn't change this, since ${y_1}''=0$ .

So if we suppose

$f(x,y,y',y'')=y''+xy'-y=0$

then substituting $y=y_2$ would give

$6x+x(3x^2)-x^3=6x+2x^3\neq0$

To make sure everything cancels out, multiply the second degree term by $-\dfrac{x^2}3$ , so that

$f(x,y,y',y'')=-\dfrac{x^2}3y''+xy'-y$

Then if $y=y_1+y_2$ , we get

$-\dfrac{x^2}3(0+6x)+x(1+3x^2)-(x+x^3)=-2x^3+x+3x^3-x-x^3=0$

as desired. So one possible ODE would be

$-\dfrac{x^2}3y''+xy'-y=0\iff x^2y''-3xy'+3y=0$

(See "Euler-Cauchy equation" for more info)

6 0

3 years ago