We know that
<span>This problem can be represented through the following equation
</span>
A = A₀(1/2)^t/h
where
A-----------> is the amount of substance left after time t
A₀ ----------> is the original amount---------> 2 g
h-------------> is the half-life-----------> 8 days
for A=0.04 g
t=?
0.04 = 2(1/2)^t/8
0.02 = (1/2)^t/8
Take ln on both sides:
ln(0.02) = ln [(1/2)^t/8]
ln(0.02) = (t/8)(ln 1/2)
t = 8*ln(0.02)/ln(1/2)
t = 45.15 days
the answer is 45.15 days
Answer:
It is not a polynomial. It is a trinomial. Polynomials have 4 or more terms
Let
x = measure of the angle
y = measure of the supplement
By definition of supplementary, the two angles add to 180 degrees, so
x+y = 180
This is the first equation.
The second equation is y = 3x-16 since we're given the info that "the supplement is 16 degrees less than three times the angle"
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The system of equations is
x+y = 180
y = 3x-16
Focus on the first equation x+y = 180, plug in y = 3x-16, and solve for x
x+y = 180
x+3x-16 = 180 ... y is replaced with 3x-16
4x-16 = 180
4x-16+16 = 180+16
4x = 196
4x/4 = 196/4
x = 49
Because x = 49, we can use this to find y
y = 3x-16
y = 3*49-16
y = 147 - 16
y = 131
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Final Answers:
The measure of the angle is 49 degrees
The measure of the supplement is 131 degrees
Given that we know each box costs $0.57, we can plug that in to form an equation..
m($0.57)=x
M in this equation is the amount of boxes you buy, in which that will be multiplied by 0.57 to give you how much in total it is (x)