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Savatey [412]
2 years ago
11

The decay rate for a radioactive isotope is 9.29.2 percent per year. find the half-life of the isotope. round to the nearest ten

th of a year.
Mathematics
1 answer:
Oxana [17]2 years ago
4 0
Exponential decay is given by the equation

F = P(1 - r)^t

0.5 = 1(1 - 0.092)^t

0.5 = (0.908)^t

log 0.5 = log (0.908)^t

log 0.5 = t * log 0.908

t = (log 0.5)/(log 0.908)

t = 7.18

Answer: 7.2 years
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If f(x)=-x^2+6x-1 and g(x) =3x^2-4x-1, find (f-g)(x)
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Answer:


Step-by-step explanation:

Given,

f(x)=-x^{2} +6x-1\\g(x)=3x^{2} -4x-1

we know,

(f-g)(x)=f(x)-g(x)

So, here we get

(f-g)(x)

=f(x)-g(x)

=-x^{2} +6x-1-(3x^{2} -4x-1)

=-x^{2} +6x-1-3x^{2} +4x+1

=-x^{2}-3x^{2} +6x+4x-1+1

=-4x^{2} +10x

So, the answer is

-4x^{2} +10x

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Find the area. Around your answer to decimal places​
alexgriva [62]
  • Answer:

<em>86.20 ft²</em>

  • Step-by-step explanation:

<em>Hi there !</em>

<em>A = A₁ + A₂</em>

<em>A₁ =semicircle</em>

<em>A₁ = πr²/2</em>

<em>r = d/2 = 6.4ft/2 = 3.2 ft</em>

<em>A₁ = 3.14×(3.2ft)²/2 ≈ 32.15 ft²</em>

<em />

<em>A₂ =  trapezium</em>

<em>A₂ = (b + B)×h/2</em>

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