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3 years ago

Show what i% 18 out of 25

Mathematics

1 answer:

boyakko [2]3 years ago

6 0

i 18
---- = ----
100 25

25i 1800
----- = -------
25 25

i = 72

72%

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In a certain Algebra 2 class of 26 students, 5 of them play basketball and 12 of them play baseball. There are 12 students who p

AlladinOne [14]

Answer:

15/27

Step-by-step explanation:

If 12 of the kids don't play either sport, you take the class size (26) minus the number of kids who don't play sports (12) to get 15. Therefore, 15 of the kids play one of those two sports, hence 15/27, or 55.55%

4 0

3 years ago

Please help! I don't know how to do this.

Jet001 [13]

Answer:

f(x) = x^2 - 3x + 1.

Step-by-step explanation:

If the roots of this polynomial are 1 and 2, the corresponding factors are (x - 1) and (x - 2). Multiplying, we get

f(x) = (x - 1)(x - 2) = x^2 - 3x + 1

The polynomial of least degree with roots 1 and 2 is f(x) = x^2 - 3x + 1.

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3 years ago

Consider the differential equation x^2 y''-xy'-3y=0. If y1=x3 is one solution use redution of order formula to find a second lin

Anastasy [175]

Suppose $y_2(x)=y_1(x)v(x)$ is another solution. Then

$\begin{cases}y_2=vx^3\\{y_2}'=v'x^3+3vx^2//{y_2}''=v''x^3+6v'x^2+6vx\end{cases}$

Substituting these derivatives into the ODE gives

$x^2(v''x^3+6v'x^2+6vx)-x(v'x^3+3vx^2)-3vx^3=0$

$x^5v''+5x^4v'=0$

Let $u(x)=v'(x)$ , so that

$\begin{cases}u=v'\\u'=v''\end{cases}$

Then the ODE becomes

$x^5u'+5x^4u=0$

and we can condense the left hand side as a derivative of a product,

$\dfrac{\mathrm d}{\mathrm dx}[x^5u]=0$

Integrate both sides with respect to $x$ :

$\displaystyle\int\frac{\mathrm d}{\mathrm dx}[x^5u]\,\mathrm dx=C$

$x^5u=C\implies u=Cx^{-5}$

Solve for $v$ :

$v'=Cx^{-5}\implies v=-\dfrac{C_1}4x^{-4}+C_2$

Solve for $y_2$ :

$\dfrac{y_2}{x^3}=-\dfrac{C_1}4x^{-4}+C_2\implies y_2=C_2x^3-\dfrac{C_1}{4x}$

So another linearly independent solution is $y_2=\dfrac1x$ .

3 0

2 years ago

Y = x2 - 6x-16 A. Graph A B. Graph B C. Graph C D. Graph D

Ne4ueva [31]

Answer:

it's C

Step-by-step explanation:

-16 means where the line crosses y axis

5 0

2 years ago

Dave surveyed 80 7th-graders and 90 8th-graders. He found that about 75% of the 7th-graders like pop music, while 80% of the 8th

dimaraw [331]

8th Grade: 90 x 0.80 = 72

7th Grade: 80 x 0.75 = 60

Conclusion: 8th Graders like pop music more because 72 out of the 90 in 8th grade Dave surveyed enjoy it, compared to the 60 out of 80 in 7th grade that enjoyed it.

5 0

2 years ago