I think i may know what your asking, is it a angle at a point? I don’t know what your asking so that a guess based off what i know from your question.
Answer:
Step-by-step explanation:
15−x+y=14−(−x−y)
15-x+y=14+x+y
<em>Subtract 14 from both sides</em>
1-x+y=x+y
<em>Subtract y from both sides</em>
1-x=x
<em>Add x to both sides</em>
1=2x
2x=1
<em>Divide both sides by 2</em>
x=0.5
Answer:
m(t) = m₀ e⁻⁰•⁰¹⁵ᵗ
Half-Life = 46.21 years.
Step-by-step explanation:
Radioactive reactions always follow a first order reaction dynamic
Let the initial mass of radioactive substance be m₀ and the mass at any time be m
(dm/dt) = -Km (Minus sign because it's a rate of reduction)
The question provides K = 0.015 from the given differential equation
(dm/dt) = -0.015m
(dm/m) = -0.015dt
∫ (dm/m) = -0.015 ∫ dt
Solving the two sides as definite integrals by integrating the left hand side from m₀ to m and the Right hand side from 0 to t.
We obtain
In (m/m₀) = -0.015t
(m/m₀) = (e^(-0.015t))
m = m₀ e^(-0.015t)) = m₀ e⁻⁰•⁰¹⁵ᵗ
m(t) = m₀ e⁻⁰•⁰¹⁵ᵗ
At half life, m(t) = (m₀/2), t = T(1/2)
(m₀/2) = = m₀ e⁻⁰•⁰¹⁵ᵗ
e⁻⁰•⁰¹⁵ᵗ = (1/2)
In e⁻⁰•⁰¹⁵ᵗ = In (1/2)
-0.015t = - In 2
t = (In 2)/0.015
t = (0.693/0.015)
t = 46.21 years
Half life = T(1/2) = t = 46.21 years.
Hope this Helps!!!
<em>Answer:</em>
<em>720 %</em>
<em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>$ 5 ............. 100%</em>
<em>$ 36 .................x%</em>
<em>x = 36×100/5</em>
<em>= 3600/5</em>
<em>= 720 %</em>
<em>Good luck !</em>
Answer:
x=0.9
Step-by-step explanation:
1.convert to improper fractions
4x+9/7/3=3x/0.5
2.Apply fraction cross multiply
(4x+9) * 0.5=7/3 * 3x
3. simplify
(4x+9) *0.5 =7x
4.Expand
2x+4.5=7x
5.Subtract 4.5 from both sides
2x=7x-4.5
6.Subtract 7x from both sides
2x-7=7x-4.5-7x
7.Simplify
-5x=-4.5
7.Divide by -5
x=0.9
