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3 years ago

-y+4x>-13 in slope intercept form

Mathematics

2 answers:

Usimov [2.4K]3 years ago

7 0

-y+4x>-13 -y>-13-4x y>13+4x y>4x+13

trapecia [35]3 years ago

3 0

Slope intercept
y=mx+b
m=slope
b=yntercept
basically solve for y

-y+4x>-13
add y to both sides
4x>-13+y
flip and revers
y-13<4x
add 13 to both sides
y<4x+13

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krok68 [10]

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Step-by-step explanation:

At a constant decay rate, the half-life of a radioactive substance is the time taken for the substance to decay to half of its original mass. The formula for radioactive exponential decay is given by:

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First, let us calculate the decay constant (k)

$75 = 1000 e^{(k2500)}\\dividing\ both\ sides\ by\ 1000\\0.075 = e^{(2500k)}\\taking\ natural\ logarithm\ of\ both\ sides\\In 0.075 = In (e^{2500k})\\In 0.075 = 2500k\\k = \frac{In0.075}{2500}\\ k = \frac{-2.5903}{2500} \\k = - 0.001036$

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$\frac{1}{2} A_0 = A_0 e^{(-0.001036t)}\\Dividing\ both\ sides\ by\ A_0\\ \frac{1}{2} = e^{-0.001036t}\\taking\ natural\ logarithm\ of\ both\ sides\\In(0.5) = In (e^{-0.001036t})\\-0.6931 = -0.001036t\\t = \frac{-0.6931}{-0.001036} \\t = 669.02 years\\\therefore t\frac{1}{2} \approx 669\ years$

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