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katrin [286]
3 years ago
10

Write a general formula to describe the variation:

Mathematics
1 answer:
kap26 [50]3 years ago
6 0

Answer:

Idk

Step-by-step explanation:

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A sample of tritium-3 decayed to 94.5% of its original amount after a year.
Zolol [24]
(a) If y(t) is the mass after t days and y(0) = A then y(t) = Ae^{kt}.

y(1) = Ae^k = 0.945A \implies e^k = 0.945 \implies k = \ln 0.945

\text{Then } Ae^{(\ln 0.945)t} = \frac{1}{2}A\ \Leftrightarrow\ \ln e^{(\ln 0.945)t} = \ln \frac{1}{2}\ \Leftrightarrow\  ( \ln 0.945) t = \ln \frac{1}{2} \Leftrightarrow \\ \\
t = - \frac{\ln 5}{\ln 0.945} \approx 12.25 \text{ years}

(b)
Ae^{(\ln 0.945) t} = 0.20 A \ \Leftrightarrow\ (\ln 0.945) t \ln \frac{1}{5}\ \implies \\ \\
t = - \frac{\ln 5}{\ln 0.945} \approx 28.45\text{ years}
3 0
4 years ago
Y = 2x + 5 and 3x + y = 40
Sophie [7]

ANSWER: x=7, y=19

Steps

1. Substitute y=2x+5

3x+2x+5=40

2. For y=2x+5 , Substitute x=7

y=2 * 7+5

3. 2 * 7+5=19

y=19

4 0
3 years ago
Explain why the sum of a rational number and an irrational number is always irrational
grandymaker [24]

Each time they assume the sum is rational; however, upon rearranging the terms of their equation, they get a contradiction (that an irrational number is equal to a rational number). Since the assumption that the sum of a rational and irrational number is rational leads to a contradiction, the sum must be irrational.

(write this in your own words)

8 0
3 years ago
CAN SOMEONE PLEASE HELP ME!!!!
ivanzaharov [21]
Option 4. x>2 should be an open circle on 2 going right. x<=-2 should be a closed circle on -2 going left. Remember, < equals open circle and <= equals closed circle.
4 0
3 years ago
How to turn 7/20 into a decimal and percent
lilavasa [31]
Find an equivalent fraction that has the denominator 100
7•5/20•5=35/100 is
35% and 0.35
5 0
3 years ago
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