Answer:
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Step-by-step explanation:
The range in the average rate of change in temperature of the substance is from a low temperature of 1 F to a high of -11 F.
<h3>What is a formula for Fahrenheit?</h3>
The conversion formula for a temperature that is expressed on the Celsius (°C) scale to its Fahrenheit (°F) ;
°F = (9/5 × °C) + 32.
Given function:
f(x)= -6 sin(7/3 x+ 1/6) -5
The function will be maximum at the 7/3 x +1/6= 3π/2
So, the maximum temperature will be
= -6 sin (3π/2) -5
= 6 -5
= 1 F
The function will be minimum at the 7/3 x +1/6= π/2
Therefore, the maximum temperature will be
= -6 sin (π/2) - 5
= -6 -5
= -11 F
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Distribute 6 thru the parenthesis=
198 pie plus 6 pie
Factor out the perfect square=
Pie 3 to the second power times 22 plus 7 pie 6
Calculate the square root =
3 pie 22 plus 7 pie 6
Which equals to 31.2177
Answer:
The required recursive formula is:

Step-by-step explanation:
We are given a geometric sequence as:
6,-18,54,-162,.....
Clearly after looking at different terms of the sequence we could observe that the sequence is an geometric progression (G.P.) with common ratio= -3 denoted by r.
Let
represents the nth term of the sequence.
This means that:

As the common ratio is -3.
so,

Hence, the required recursive formula for the geometric sequence is:
