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3 years ago

There are 560 students at Smith Middle School, 45% of them are in athletics. How many students are in athletics?

Mathematics

2 answers:

zzz [600]3 years ago

6 0

Answer:

252

Step-by-step explanation:

560x0.45 is 252

d1i1m1o1n [39]3 years ago

6 0

The Answer is: 252
Explanation: 560 times .45

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The general solution of 2 y ln(x)y' = (y^2 + 4)/x is

Sav [38]

Replace $y'$ with $\dfrac{\mathrm dy}{\mathrm dx}$ to see that this ODE is separable:

$2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}$

Integrate both sides; on the left, set $u=y^2+4$ so that $\mathrm du=2y\,\mathrm dy$ ; on the right, set $v=\ln x$ so that $\mathrm dv=\dfrac{\mathrm dx}x$ . Then

$\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v$

$\implies\ln|u|=\ln|v|+C$

$\implies\ln(y^2+4)=\ln|\ln x|+C$

$\implies y^2+4=e^{\ln|\ln x|+C}$

$\implies y^2=C|\ln x|-4$

$\implies y=\pm\sqrt{C|\ln x|-4}$

4 0

3 years ago

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Ivan

Place your dot roughly around 2.23. The square root of 5 is 2.23

5 0

3 years ago

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telo118 [61]

Side angle side and yes

8 0

2 years ago

Choose the correct simplification of the expression −3x2(5x − 4x2 − 6).

Bess [88]

Answer B.
$- 3 {x}^{2} (5x - 4 {x}^{2} - 6) \\ = - 15 {x}^{3} + 12 {x}^{4} + 18 {x}^{2} \\ = 12 {x}^{4} - 15 {x}^{3} + 18 {x}^{2}$

8 0

4 years ago

Read 2 more answers

Doug regularly mows his neighbor's lawn. Last month, Doug's neighbor paid him $55 for 6 hours of mowing. Is this situation most

nasty-shy [4]

Solution:

we are given that

Last month, Doug's neighbor paid him $55 for 6 hours of mowing.

we have been asked that

Is this situation most likely a proportional relationship?

yes..its as proportional relationship.

Because the amount that Doug get is $55 for 6 hours

It mean for each hour Doug get is $\frac{55}{6}$ $

It mean if you increase the number of hours then the number of dollars get paid also increases. Hence the given situation is most likely a proportional relationship.

8 0

4 years ago