3 years ago

Three quarters are what fraction of a dollar

Mathematics

2 answers:

barxatty [35]3 years ago

8 0

Three quarters are 3/4 of a dollar

Nonamiya [84]3 years ago

5 0

Three quarters are 3/4 of a dollar.

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Use separation of variables to solve dy dx − tan x = y2 tan x with y(0) = √3. Find the value of c in radians, not degrees

a_sh-v [17]

Answer:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

Step-by-step explanation:

Rewrite the equation as:

$\frac{dy(x)}{dx}-tan(x)=y(x)^{2} *tan(x)$

Isolating $\frac{dy}{dx}$

$\frac{dy}{dx} =tan(x)+tan(x)*y^{2}$

Factor:

$\frac{dy}{dx} =tan(x)*(1+y^{2} )$

Dividing both sides by $(1+y^{2} )$ and multiplying them by $dx$

$\frac{dy}{1+y^{2} } =tan(x)dx$

Integrate both sides:

$\int\ \frac{dy}{1+y^{2} } = \int\ tan(x) dx$

Evaluate the integrals:

$arctan(y)=-log(cos(x))+C_1$

Solving for y:

$y(x)=tan(-log(cos(x))+C_1)$

Evaluating the initial condition:

$y(0)=\sqrt{3} =tan(-log(cos(0))+C_1)=tan(-log(1)+C_1)=tan(0+C_1)$

$\sqrt{3} =tan(C_1)\\arctan(\sqrt{3} )=C_1\\60=C_1$

Converting 60 degrees to radians:

$60degrees*\frac{\pi }{180degrees} =\frac{\pi }{3}$

Replacing $C_1$ in the diferential equation solution:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

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2 years ago

Johnny spent $28.50 at a parking garage in downtown Asheville. The garage

just olya [345]

Answer:3 hour

Step-by-step explanation:

Hope that helps

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The sum of two numbers is 36 . The larger number is 22 more than the smaller number. What are the numbers?

Setler [38]

X + y = 36
x = y + 22

y + 22 + y = 36
2y + 22 = 36
2y = 36 - 22
2y = 14
y = 14/2
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x + y = 36
x + 7 = 36
x = 36 - 7
x = 29

so ur 2 numbers are : 7 and 29

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Use Order of Operations to simplify the following:

allochka39001 [22]

Answer:

where is simplify question

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KiRa [710]

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Step-by-step explanation

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