Answer:
See Below.
Step-by-step explanation:
We want to show that the function:
Increases for all values of <em>x</em>.
A function is increasing whenever its derivative is positive.
So, find the derivative of our function:
Differentiate:
Simplify:
Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of <em>x.</em>
Using similarity principle, the height of the tree is 1.97 meters
<h3>How to find height of the tree?</h3>
He is 1.75 meters tall.
His shadow = 33.7 meters
The length of the tree shadows = 37.95 meters
Using similarity principles where the corresponding length are a ratio of each other.
Therefore,
1.75 / x = 33.7 / 37.95
cross multiply
37.95 × 1.75 = 33.7x
66.4125 = 33.7x
divide both sides by 33.7
x = 66.4125 / 33.7
x = 1.97069732938
x = 1.97 meters
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The answer is A all three angles are acute (less than 90°)
Answer:
In summation form
Step-by-step explanation:
Within one hour, the first person gives a stack of flyers to six people and within the next hour, those six people give a stack of flyers to six new people.
So, in the first 5 hours, the summation of people that receive a stack of flyers not including the initial person will be given by
6 + (6 × 6) + (6 × 6 × 6) + (6 × 6 × 6 × 6) + (6 × 6 × 6 × 6 × 6).
So, in summation form
Therefore, Sigma-Summation Underscript n = 1 Overscript 5 EndScripts 6 (6) Superscript n minus 1, gives the correct solution. (Answer)