Can u guys help me like I’m so lost rn

Mathematics

1 answer:

Komok [63]3 years ago

4 0

Answer:

The answer is A because when you take both X and Y they are both negative so the only way to keep the answer negative would be to add them.

If you subtract one from the other it adds the opposite

If you multiply them the negatives cancel each other and the answer becomes positive

If you divide them the negatives cancel out and so again the answer would be positive

Step-by-step explanation:

When you add an negative number to another negative number your number stays negative

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how to use the explicit formula an=a1+(n-1)d to find the 500th term of the sequence 24,30,36,42,48,...

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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)
$Ae^{(\ln 0.945) t} = 0.20 A \ \Leftrightarrow\ (\ln 0.945) t \ln \frac{1}{5}\ \implies \\ \\
t = - \frac{\ln 5}{\ln 0.945} \approx 28.45\text{ years}$