Answer:
<h3>X=5/31=0.16</h3>
Step-by-step explanation:
Isolate x on one side of the equation.
4x+27x=31x (Combine like terms, group like terms, & Add.)
31x=5
31x/31=5/31 (Divide by 31 from both sides.)
5/31=0.16
x=5/31=0.16
In conclusion, the correct answer is x=5/31=0.16.
Answer:
About 5043.58
Step-by-step explanation:
The standard form for an exponential decay after t time is:

Where a is the initial value, r is the rate decay, t is the time that has passed, and d is the amount of time it takes for 1 cycle.
The initial value is 9800. So a = 9800.
The quantity cuts in half. So, r = 1/2.
And it cuts in half every 6 days. For this question, we will convert this to hours. 6 days = 144 hours. So, we can let d = 144, where t will be in hours.
Therefore, our function is:

Where t is the amount of time that has passed, in hours.
Then the quantity left after 138 hours will be:

Non-linear graph best describes this function.
<h3>
Why nonlinear?</h3>
As described in the question, Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. It is linear because the graph decreases over time. It is linear because there is both an independent and a dependent variable but it doesn't satisfies one condition of being linear. Thus, It's Nonlinear because linear functions are increasing functions. It is nonlinear because linear functions increase or decrease at the same rate.
To learn more about nonlinear function visit:
brainly.com/question/762799
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Answer:
1. √32
2. 4
3. 5
4. √29
5. √10
6. 5√2
Step-by-step explanation:
Use Pythagoras