Suppose sin a = 12/13 and sin b= 5/11. FInd cos(a+b)
1 answer:
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<h3>Answer: Mean = 218.9.</h3><h3>Median = 229</h3><h3>Mode = Zero mode.</h3>
Step-by-step explanation:
Given blood cholesterol level was measured for each of 8 adults (in mg/dL) are:
264, 191, 160, 148, 262, 212, 268, 246
In order to find the mean, we need to add all those 8 numbers and divide by 8.
Therefore, mean =
In order to find the median, we need to arrange them in ascending order:
148, 160, 191, 212, 246, 262, 264, 268.
The middle most two values are 212 and 246.
Therefore, median =
<span>From the message you sent me:
when you breathe normally, about 12 % of the air of your lungs is replaced with each breath. how much of the original 500 ml remains after 50 breaths
If you think of number of breaths that you take as a time measurement, you can model the amount of air from the first breath you take left in your lungs with the recursive function
Why does this work? Initially, you start with 500 mL of air that you breathe in, so
. After the second breath, you have 12% of the original air left in your lungs, or 
. After the third breath, you have 
, and so on.
You can find the amount of original air left in your lungs after
breaths by solving for 
explicitly. This isn't too hard:
and so on. The pattern is such that you arrive at
and so the amount of air remaining after
breaths is
which is a very small number close to zero.</span>
when you breathe normally, about 12 % of the air of your lungs is replaced with each breath. how much of the original 500 ml remains after 50 breaths
If you think of number of breaths that you take as a time measurement, you can model the amount of air from the first breath you take left in your lungs with the recursive function
Why does this work? Initially, you start with 500 mL of air that you breathe in, so
You can find the amount of original air left in your lungs after
and so on. The pattern is such that you arrive at
and so the amount of air remaining after
which is a very small number close to zero.</span>
Answer:
y = 5cos(πx/4) +11
Step-by-step explanation:
The radius is 5 ft, so that will be the multiplier of the trig function.
The car starts at the top of the wheel, so the appropriate trig function is cosine, which is 1 (its maximum value) when its argument is zero.
The period is 8 seconds, so the argument of the cosine function will be 2π(x/8) = πx/4. This changes by 2π when x changes by 8.
The centerline of the wheel is the sum of the minimum and the radius, so is 6+5 = 11 ft. This is the offset of the scaled cosine function.
Putting that all together, you get
... y = 5cos(π/4x) + 11
_____
The answer selections don't seem to consistently identify the argument of the trig function properly. We assume that π/4(x) means (πx/4), where this product is the argument of the trig function.
