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3 years ago

The area of the irregular polygon is ____ square units.

Mathematics

1 answer:

vova2212 [387]3 years ago

4 0

15 square units. Its right

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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

Use the trend line to predict what the value of variable N will be when variable M equals 50.

ahrayia [7]

Answer:

N = 10

Step-by-step explanation:

Normally the coordinate system goes:

x axis (horizontal)

y axis (vertical)

Here, we have:

Horizontal axis as "M", and

Vertical axis as "N"

We want to know what N will be when M equals 50.

So, we look at the x-axis and go to M equals 50.

Then we move up until the "trend line". The intersection.

If we move directly left to vertical axis (N variable), we see that it is at the point:

N = 10

So,

When M = 50, N = 10

8 0

3 years ago

Take away 6 from 5 times g ~ in albebraic expression.

Brrunno [24]

5g-6 when you multiply a verable with a number you simplily put the letter beside the number and that lets us know to multiply:)

4 0

3 years ago

Does anybody have their geometry notebook for E2020? I need it to get credit for the course but I lost mine.

xxMikexx [17]

Answer:

Sorry, I don't have one.

Step-by-step explanation:

6 0

3 years ago

The original cost of a makeup set was $30. After sales tax, Peter paid a total of $31.71. What is the percent sales tax rate?

S_A_V [24]

Answer:

5.7

Step-by-step explanation:

<u>unrelated</u>, I love how peter is open about buying makeup. i feel as if the gender roles are garbage. #YasQueen #GoPeter #PeterIsCool #MakeupCanBeForBoysToo <3

(also peter could totally be a girl and I am misgendered a person)

6 0

2 years ago

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