The model given is:
The term in the parentheses represents the change of rate of the model. If the number is the parentheses is less than 1, we call it <em>exponential decay</em>.
If the number in parentheses is bigger than 1, we call it exponential growth.
In this case, the correct option is "decaying"
The number in parentheses let's call it R, is:
Where r is the rate of change. To find it:
To convert to percentage, we convert by multiplying by 100::
The second answer is 0.45%
And since t is the time passed in hours, and has a "60" multiplying it, the last answer is: Every 60 hours
<em>The final answer is:</em>
The function is exponentially decaying at a rate of 0.45% evary 60 hours.
The simplified value of the exponential expression is 2.
<h3>
How to get the simplified expression?</h3>
Here we need to simplify the expression:
First, you need to remember that:
![\sqrt[n]{x} = x^{1/n}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%7D%20%3D%20x%5E%7B1%2Fn%7D)
Then we can just write:
![16^{1/4} = \sqrt[4]{16}](https://tex.z-dn.net/?f=16%5E%7B1%2F4%7D%20%3D%20%5Csqrt%5B4%5D%7B16%7D)
And now, you can remember that:
2*2 = 4
Then:
2*2*2*2 = 4*4 = 16
From this, we can conclude that:
![2^4 = 16\\\\\sqrt[4]{16} = 2](https://tex.z-dn.net/?f=2%5E4%20%3D%2016%5C%5C%5C%5C%5Csqrt%5B4%5D%7B16%7D%20%3D%202)
So we conclude that the simplified value is 2.
If you want to learn more about exponential expressions:
brainly.com/question/11464095
#SPJ4
Answer:
Press A takes 10 hours to do a certain job. So Press A does (1/10)th of the job in an hour.
Press A and Press B, together do (1/2.5) or (4/10)th of the job in an hour.
So Press B does (4/10)-(1/10) = (3/10)th of the job in an hour. So Press B can do the job in (10/3) hours or 3 hour and 20 mins.
Check: A does (1/10)th and B does (3/10)th part of the job in an hour. A and B together will take (1/10)+(3/10) = 4/10th of the job in an hour. So they will complete the job in 10/4 = 2.5 hours. Correct.
Answer: Press B can do the job in 3 hour and 20 mins.
Step-by-step explanation:
The height of the platform would be the last part of the equation
45 feet
Answer:
=
10
−
2
7
-
3
Step-by-step explanation:
