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2 years ago

Write an equation for the line shown on the graph.

Mathematics

1 answer:

musickatia [10]2 years ago

7 0

Answer:

$y = \frac{2}{3}x + 1$

Step-by-step explanation:

Starting from the y-intercept of $[0, 1]$ , we do $\frac{rise}{run}$ by either moving two blocks south over three blocks west or two blocks north over three blocks east [west and south are negatives].

* If you take a very good look at this answer, you will see that you do not have this as an answer choice.

I am joyous to assist you anytime.

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Help please ppl Guys

Evgesh-ka [11]

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3 years ago

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Komok [63]

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2 years ago

A sample of Iron-59 contains 50 mg. One hundred days later, the sample contains 10.75 mg. What is the half-life of iron-59, in d

exis [7]

Answer:

$t_{1/2}=45.09 d$

Step-by-step explanation:

We can use the decay equation:

$M=M_{0}e^{-\lambda t}$

M(0) is the initial mass
M is the mass after t (1000 days) time
λ is the decay constant

But:

$\lambda = ln(2)/t_{1/2}$

t(1/2) is the half-life.

So, we can rewrite the initial equation:

$M=M_{0}e^{-\frac{ln(2)}{t_{1/2}}t}$

Now, we just need to solve it for t(1/2):

$ln(\frac{M}{M_{0}})=-\frac{ln(2)}{t_{1/2}}t$

$t_{1/2}=-\frac{ln(2)}{ln(\frac{M}{M_{0}})}t$

$t_{1/2}=-\frac{ln(2)}{ln(\frac{10.75}{50})}100$

$t_{1/2}=45.09 d$

I hope it helps you!

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2 years ago