Hey there!
In order to turn a fraction into a decimal, simply divide the numerator by the denominator. The numerator is the top part of the fraction while the denominator is the bottom part of the fraction.
So,
as a decimal would be 0.9. Simply divide 9 by 10
Answer: 0.9
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Answer:
The radicand is whatever is under the the radical, so in this case, your answer would be D. 3x-5
Answer:
172.76 yards.
Step-by-step explanation:
The dog chasing some birds got away from its owner by x yards (say).
It is clear from the problem that this x yards is the slant distance from the dog to the owner.
The vertical distance from the dog to the owner is given to be 30 yards, and the angle of elevation from the owner to the dog is 10°.
Therefore, we can write that 
⇒ 
yards. (Answer)
Answer:
Step-by-step explanation:
<u>Function Modeling</u>
Since the air in the lungs goes periodically from a minimum value to a maximum value, we can simulate its behavior as a sinusoid. Selecting a sine or a cosine will depend on the initial condition we'll assume since the question doesn't provide one. We'll set the initial state when the lungs are at maximum air content. The sinusoid that starts from maximum is the cosine, so our model is
Where Ao is the amplitude of the oscillation, w is the angular frequency and M is the midline or y-displacement of the wave.
The values of A run from a min of 3.5 to a max of 4.5. That gives us twice the amplitude, thus
The vertical displacement or midline can be found as the shift from the center value:
We also know the cycle repeats 6 times per minute. If the time is expressed in minutes, then the frequency is f=6
Knowing that
Then
The model is
where t is expressed in minutes
You will need to add 8 to the other side of the equation to get t = -3 + 8
