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Leviafan [203]
2 years ago
13

Please help me with this question

Mathematics
1 answer:
Setler [38]2 years ago
6 0

Step-by-step explanation:

{ ({y}^{2} )}^{4} . \:  {( {y}^{3}) }^{2}

Since,

{ ({a}^{x} )}^{y}  =  {a}^{xy}

Hence,

{y}^{2 \times 4} . {y}^{3 \times 2}

=  {y}^{8} . {y}^{6}

Since,

{a}^{x} . {a}^{y}  =  {a}^{x + y}

Hence,

=  {y}^{8 + 6}

=  {y}^{14} (ans)

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7 0
2 years ago
Situation:A researcher in North America discoversa fossile that contains 65% of its originalamount of C-14..-ktN=NoeNo inital am
zheka24 [161]

SOLUTION

We have been given the equation of the decay as

\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}

So we are looking for the time

Plugging the values into the equation, we have

\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}

Taking Ln of both sides, we have

\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}

Hence the answer is 4308 to the nearest year

8 0
7 months ago
A:1 hour 37 minutes <br> B:2 hours 37 minutes <br> C:2 hours 23 minutes <br> D:1 hour 23 minutes
Y_Kistochka [10]
The correct answer is 1 hour 37
6 0
2 years ago
How do i simplify 14/24.
dolphi86 [110]
Simplify 14/24 to the simplest form - Fractions Simplifier. Use this fractions simplifier calculator to reduce any fraction to lowest terms. You just need to enter the numerator and denominator values. The answer will be a proper fraction or a mixed number and also the decimal equivalent to the given fraction.
8 0
3 years ago
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