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Vedmedyk [2.9K]

3 years ago

15

Staci is attending a music festival. The ticket to the festival costs $87.96. Staci plans to purchase $30.00 t-shirts from the e

vent for close friends. She is taking $200.00 to the festival. What is the maximum number of t-shirts Staci can purchase?

1 answer:

Dmitry_Shevchenko [17]3 years ago

3 0

3 shirts because 30x3=90 + 87.96= 187.86 dollars she will have 12 dollars and 14 cents

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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 $dx$

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

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

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:

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3 0

2 years ago

Be sure to show your work and solve for k :<br> ( 264 + 3 x 7 ) divided by 3= k

Paul [167]

Hi there!

$\large\boxed{k = 95}$

Use PEMDAS:

Evaluate inside of parenthesis:

(264 + 3 × 7)

Multiply:

(264 + 21)

Add:

285

Divide by 3:

285 ÷ 3 = 95

5 0

2 years ago

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Yuki888 [10]

Answer:

150

Step-by-step explanation

because 500 minus 350 is 150

5 0

3 years ago

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Bond [772]

Please see below solution:

y = x + 13<span>
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x + 13 + x ≥ 103
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3 years ago

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Lerok [7]

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3 years ago

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