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

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 
The model is now

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

Simplifying

Taking logarithms

Solving for t

Answer:
<em>D.</em><em> </em><em>
</em>
Step-by-step explanation:
<em>2</em><em>÷</em><em> </em><em>6</em><em> </em><em>=</em><em> </em><em>0</em><em>.</em><em>3</em><em>3</em><em>3</em><em>3</em><em>3</em>
<em>As </em><em>you </em><em>can</em><em> </em><em>see</em><em> </em><em>3</em><em> </em><em>is </em><em>repeating</em><em>.</em>
<em>Therefore</em><em> </em><em> </em><em>
</em><em> </em><em>as </em><em>repeating</em><em> </em><em>decimal</em><em> </em><em>form</em><em>.</em>
Answer:

First tangent line:

Second tangent line:

Notice: slope of -1 means that both
are equal to -1, so 
Answer:
<em>I misunderstood the question before, but here are two expressions equivalent to -4/7 - 8/9 + 4/7 - 9/8. </em>
71/72 + 70/72 +4/72
-1/7 - 3/7 - 5/9 - 3/9 + 2/7 +2/7 - 4/8 - 5/8
<em>Solved: -2 1/72</em>
Step-by-step explanation:
I could simply take the answer you get when combining all of the fractions, and I can make a new expression out of it. For example, I could use: 71/72+ 70/72+4/72. Or I could break apart all of the original fractions into smaller fractions. Example: -1/7 - 3/7 - 5/9 - 3/9 + 2/7 +2/7 - 4/8 - 5/8.
<em>To solve: Start by combining -4/7 and 4/7 to make 0, shortening your equation. Then continue by making the fractions remaining, 8/9 and -9/8, have a common denominator. To do this, we multiply -8/9 by 8, and -9/8 by 9. Then, we have -64/72 and -81/72. Then, we can combine the numerators of the fractions, as they have common denominators, and we get the fraction -145/72. We can then simplify this to -2 1/72.</em>
<em>Hope this helps!</em>