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Firdavs [7]
3 years ago
7

HELP HELP HELP HELP

Mathematics
1 answer:
Genrish500 [490]3 years ago
3 0

Answer: -7

Step-by-step explanation: .........................

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Problem PageQuestion The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate paramet
asambeis [7]

Answer:

<em>t = 1.51</em>

Step-by-step explanation:

<u>Exponential Model</u>

The exponential model is often used to simulate the behavior of a magnitude that either grow or decay in proportion to the existing amount of that magnitude.

The model can be expressed as

M=M_oe^{kt}

In this case, Mo is the initial mass of the radioactive substance and k is a constant which value is positive if the mass is growing or negative if the mass is decaying.

The value of k is not precisely given in the question, we are assuming k=-0.2

The model is now

M=M_oe^{-0.2t}

We are required to compute the time it takes the mass to reach one-half of its initial value:

\displaystyle \frac{M_o}{2}=M_oe^{-0.2t}

Simplifying

\displaystyle \frac{1}{2}=e^{-0.2t}

Taking logarithms

\displaystyle ln\frac{1}{2}=ln(e^{-0.2t})=-0.2t

Solving for t

\displaystyle t=-\frac{ln\frac{1}{2}}{0.2}=1.51

6 0
3 years ago
You have 4 one-dollar bills and 4 five-dollar bills in your piggy bank. You select two bills at random, with replacement. What i
Mkey [24]

The probability that one would have selected 2 five-dollar bills is; 1/4.

<h3>What is the probability you will have selected 2 five-dollar bills?</h3>

It follows from the task content that the piggy bank contains; 4 one-dollar bills and 4 five-dollar bills to make a total of 8 bills.

Hence, provided the probability events are carried out with replacement, the probability to have selected 2 five-dollar bills is;

= 4/8 × 4/8

= 1/4.

Read more on probability;

brainly.com/question/24756209

#SPJ1

5 0
2 years ago
Evaluate x3 − 2y2 − 3x3 + z4 if x = 3, y = 5, and z = −3.
White raven [17]

Answer:

Step-by-step explanation:

x^3-2y^2-3x^3+z^4

(3)^3-2(5)^3+(-3)^4

-142

8 0
3 years ago
climate scientists use computer models to predict the likely change in global average temperature under various assumptions abou
Free_Kalibri [48]

Answer:

\fbox{\begin{minipage}{10em}Option A: Simulation \end{minipage}}

Step-by-step explanation:

The data is not collected from the world outside, but a computer.

=> The data can be generated under assumption from simulation only.

=> Option A is correct.

Hope this helps!

:)

5 0
3 years ago
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Answer:

x=238 plus 0

Step-by-step explanation:

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