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3 years ago

What is the equation of a line with slope -2 and passes through the point (0, 3)?

Mathematics

1 answer:

kramer3 years ago

5 0

The equation that you are looking for is y = -2x + 3

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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

1 year ago

The product of 3 and a number x is 23 . What is the value of x?

Scrat [10]

I believed there's a typo in your question
<span>The product of 3 and a number x is 2/3
if so
</span>3x = 2/3
x = 2/3 * 1/3
x = 2/9

answer
x = 2/9

8 0

4 years ago

A salesman is paid $450 a week, plus a commission of 35 cents for every item that he sells. Write a linear function where the pa

Ratling [72]

Answer:

Step-by-step explanation:

1400×0.35

490+450

940

3 0

3 years ago

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Help Me ASAP this is the last day of Summer School

shepuryov [24]

Answer:

22.2222%

Step-by-step explanation:

total amout of owners all around is 90 and Dal. Owners is 20 so divide 20 by 90.

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3 years ago

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Please help me! I need some serious help!

spin [16.1K]

6X+3y=36 is the answer

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3 years ago

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