Answer:
m<1= 120
Step-by-step explanation:
1. we know supplementary angles equals 180. the angle 130 is part of a supplementary angle so we can subtract it by 180 to see that missing angle.
2. we also know that all triangles three angles add up to 180. So if we add the number we know 70+50 (50 is from subtracting 130 from 180), Once we find that answer, we subtract it from 180 to find angle 2 which is 60 degrees
3. Last step, angle 2 is part os a supplementary angle in which the two angles add up to 180. So, subtracting 60 from 180 will get you the degree of the angel one which his 120 degrees.
Answer:
85.5 minutes
Step-by-step explanation:
The amount of an element that will remain after time t can be expressed as a function of initial amount N0, time t, and half life th as;
Nt = N0 × e^(-λt)
Where;
Decay constant λ = ln(2)/th, substituting into the equation;
Nt = N0 × e^(-ln(2)t/th)
We need to make t the subject of formula;
Nt/N0 = e^(-ln(2)t/th)
ln(Nt/N0) = -ln(2)t/th
t = ln(Nt/N0) ÷ -ln(2)/th
Given;
Initial amount N0 = 760g
Final amount Nt = 11 g
Half life th = 14 minutes
the nearest tenth of a minute, would it take the element to decay to 11 grams can be derived using the formula;
t = ln(Nt/N0) ÷ -ln(2)/th
Substituting the given values;
t = ln(11/760) ÷ -ln(2)/14
t = 85.5 minutes
Answer: x=12, x=-3
Step-by-step explanation: For this factored problem, you see that -36 is negative, as well at -9. This shows you that you need to find two numbers that multiply to get -36, and add up to get -9. Two numbers that both satisfy these requirements are -12 and 3. They multiply to get -36, and add to get -9.
Once you have found your values, you plug them into (x+/- __)(x+/- __), which is (x-12)(x+3).
But since the problem asks you to find the zeroes, you set each factor equal to zero, like this:
x-12=0 and x+3=0
Then solve and you have you answer!
you can estimate 57.8 and 81 then to check you can do 57.8 divided by 81
Answer:
$21.64
Step-by-step explanation:
original amount = spent + remaining
original amount = 4.76 + 16.88
= $21.64
