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3 years ago

You have 8 dime you trade each dime for 10 pennies. How mainly pennies will you have?

2 answers:

8 0

I think u would have 80 cents because if u have 8 dimes nd each of them r ten cents so u would do 8 times ten nd that gives u 80 lolz

laila [671]3 years ago

6 0

Youll have 80 pennies. dime=.10 10x8=80

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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

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JulijaS [17]

Answer:

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Step-by-step explanation:

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3 years ago

Find the 19th term in each sequence. 11, 33, 99, 279

Paladinen [302]

Answer:

Step-by-step explanation:

hello : note 297 no 279

297 =3×99

99 = 3 ×33

33=3×11

this the geometric sequence. ( comon : 3)

the nth term is : An = A1 × r^n when : r = 3 and A1 =11

if n = 19 A19 = 11×3^19

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2 years ago

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Yuki888 [10]

9514 1404 393

Answer:

True

Step-by-step explanation:

In scalar multiplication, each component of the vector is multiplied by the scalar. The description is True.

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2 years ago