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2 years ago

Which of the following equations represents a line parallel to line t ?

Mathematics

1 answer:

kumpel [21]2 years ago

5 0

Answer:

Step-by-step explanation:

Consider the slope of the line is $\frac{y_{2}-y_{1}} {x_{2}-x_{1}}\\$

Then $\frac{1-3}{2-(-4)} = \frac{-2}{6} = \frac{-1}{3}$

Any option has the same slope but with any different y intercept would make it parallel, which is b in this case.

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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

4 months ago

11 3/4 x 15 3/4 ?????????

Novay_Z [31]

Answer:

185 1/16

Step-by-step explanation:

3 0

2 years ago

12-(-4)(-3), evaluate please

Sindrei [870]

Answer:

Step-by-step explanation:

12-(-4)(-3)

-3 x -4 = 12

12 - 12= 0

5 0

2 years ago

Read 2 more answers

For the equation y=5 + 6x, what does y equal when x is 4? Will mark brainliest

emmasim [6.3K]

Answer:

y=29

Step-by-step explanation:

y=5+6(4)

y=5+24

y=29

BRAINLIEST PLZ

8 0

3 years ago

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What is another way to write x 4/3

zloy xaker [14]

Answer:

1.3333333333333333 or 1 1/3

Step-by-step explanation:

What is the x?

4 0

3 years ago