Let's deconstruct the equation.
K x (1/8) = 7
You want to isolate K, so you multiply by 8 for both sides (since 8 x 1/8 = 1)
So, K = 7 x 8
K=56
False.
Here is a counterexample.
3/4= 0.75
3 and 4 are both integers but the quotient is 0.75 which is not an integer. 0.75 is a rational number.
Answer:
5.1 days
Step-by-step explanation:
Given in the question,
initial amount of substance = 34 grams
k-value = 0.137
To find the half life of this substance we will use following formula

here N(0) is initial amount of substance
t is time in days
Plug values in the formula

1/2 = e^{-0.137t}
Take logarithm on both sides
ln(1/2) = ln( e^{-0.137t})
ln(1/2) = -0.137t
t = ln(1/2) / -0.137
t = 5.059
t ≈ 5.1 days (nearest to tenths)
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➷ Substitute in the value:
840 - 52.5(14) = 105
Since e(14) = 105, the elevation of the cable car would be 105 meters from the ground 14 minutes after it begins descending from the top of the hill
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