Answer: 
Step-by-step explanation:
First, we will rewrite the function in terms of <em>y</em> as in y = x - 12.
Second, we will swap the x and y values.
y = x - 12
x = y - 12
Third, we will solve for y. In other words, we will isolate the <em>y</em> variable and get it "by itself" on one side of the equal sign.
x = y - 12
x + 12 = y
y = x + 12
Lastly, we will change y back into terms of the function, but the inverse.
<em>Learn more about the </em><em>inverse of a function</em><em> here:</em>
<em>brainly.com/question/940569</em>
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
The first false statement in the proof as it stands is in Line 5, where it is claimed that a line of length 2.83 is congruent to a line of length 4.47. This mistake cannot be corrected by adding lines to the proof.
_____
The first erroneous tactical move is in Line 4, where the length of DE is computed, rather than the length of FD. This mistake can be corrected by adding lines to the proof.
A correct SAS proof would use segment FD in Line 4, so it could be argued that the first mistake is there.
Answer:
=14n⁴+8n²-9n+7
Step-by-step explanation:
(8n⁴-6n+8n²)+(6n⁴-3n+7)
=8n⁴-6n+8n²+6n⁴-3n+7
=8n⁴+6n⁴+8n²-6n-3n+7
=14n⁴+8n²-9n+7
40.92 ounces.
You can find it by multiplying 124 by 0.33
