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lisabon 2012 [21]
3 years ago
15

Determine whether you can use proportional​ reasoning, and then solve.

Mathematics
1 answer:
nika2105 [10]3 years ago
8 0

Answer:

18

Step-by-step explanation:

2 people = 3h

6 people = 3h x 6 =18

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After 6 months, It will be 2/23/2018
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If you are picking a number between 1-20 what is the probability that you will pick a multiple of two or a number greater than 1
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Multiple of two has a 50 percent chance. greater than 15 is 25 percent. if both it's 10 percent
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For her cellular service, Vera pays $32 a month, plus $0.75 for each minute over the allowed minutes in her plan. Write an expre
svlad2 [7]
Well, "m" represent $32 she spends a month and "t" be the $0.75 for each minute will be.

First, since the bill is for one month, we can place "m" by itself with no add-ons to it since it's been stated only a month is going by and it stays $32. However, depending of "t" the price can change without the original monthly plan changing, so we write it like m + (t . x). "x" represent every minute spent over the time limit, so it's "t" times "x" since whatever "t" is is determined by "x". If "x" is 0, then "t" is 0 since nothing is added and it'd remain $32. If say "x" was 10 however, that would mean 10 minutes have gone over the limit, so 0.75 x 10 would be $7.50 + $32 making it $39.50. 
Your answer is m + (t . x)
Note: "m" and "t" can be different if you choose.
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What is the surface area of the pyramid in square inches?
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4 years ago
7(x^2 y^2)dx 5xydyUse the method for solving homogeneous equations to solve the following differential equation.
aivan3 [116]

I'm guessing the equation should read something like

7(x^2+y^2) \,dx + 5xy \, dy = 0

or possibly with minus signs in place of +.

Multiply both sides by \frac1{x^2} to get

7\left(1 + \dfrac{y^2}{x^2}\right) \, dx + \dfrac{5y}x \, dy = 0

Now substitute

v = \dfrac yx \implies y = xv \implies dy = x\,dv + v\,dx

to transform the equation to

7(1+v^2) \, dx + 5v (x\,dv + v\,dx) = 0

which simplifies to

(7 + 12v^2) \, dx + 5xv\,dv = 0

The ODE is now separable.

\dfrac{5v}{7+12v^2} \, dv = -\dfrac{dx}x

Integrate both sides. On the left, substitute

w = 7+12v^2 \implies dw = 24v\, dv

\displaystyle \int \frac{5v}{7+12v^2} \, dv = -\int \frac{dx}x

\displaystyle \dfrac5{24} \int \frac{dw}w = -\int \frac{dx}x

\dfrac5{24} \ln|w| = -\ln|x| + C

Solve for w.

\ln\left|w^{5/24}\right| = \ln\left|\dfrac1x\right| + C

\exp\left(\ln\left|w^{5/24}\right|\right) = \exp\left(\ln\left|\dfrac1x\right| + C\right)

w^{5/24} = \dfrac Cx

Put this back in terms of v.

(7+12v^2)^{5/24} = \dfrac Cx

Put this back in terms of y.

\left(7+12\dfrac{y^2}{x^2}\right)^{5/24} = \dfrac Cx

Solve for y.

7+12\dfrac{y^2}{x^2} = \dfrac C{x^{24/5}}

\dfrac{y^2}{x^2} = \dfrac C{x^{24/5}} - \dfrac7{12}

y^2= \dfrac C{x^{14/5}} - \dfrac{7x^2}{12}

y = \pm \sqrt{\dfrac C{x^{14/5}} - \dfrac{7x^2}{12}}

8 0
2 years ago
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