2 years ago

You have 192 grams of a radioactive kind of iodine. How much will be left

Mathematics

1 answer:

m_a_m_a [10]2 years ago

8 0

Answer:

192/2= 96 g after 7h

96/2=48 g after 14h

48/2= 24 g after 21h

<h2>24/2= 12 g after 28h </h2>

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Which of these ordered pairs is a solution for this linear inequality 3y-2x<=6? A. (-4,2) B. (1,3) C. (2,-4) D. (2,4)

Usimov [2.4K]

Answer:

Step-by-step explanation:

3y-2x<=6

3(-4) - 2(2)<=6

-12-4<=6

-16<=6

4 0

3 years ago

A. Solve the differential equation <img src="https://tex.z-dn.net/?f=y%27%3D2x%20%5Csqrt%7B1-y%5E2%7D%20" id="TexFormula1" title

kirill [66]

$y' = \frac{dy}{dx}$

seperable differential equations will have the form
$\frac{dy}{dx} = F(x) G(y)$

what you do from here is isolate all the y terms on one side and all the X terms on the other
$\frac{dy}{G(y)} = F(x) dx$
just divided G(y) to both sides and multiply dx to both sides

then integrate both sides
$\int \frac{1}{G(y)} dy = \int F(x) dx

$

once you integrate, you will have a constant. use the initial value condition to solve for the constant, then try to isolate x or y if the question asks for it

In your problem,
$G(y) = \sqrt{1-y^2}

F(x) = 2x$

so all you need to integrate is
$\int \frac{1}{\sqrt{1-y^2}} dy = \int 2x dx$