A. 3 tbsp per 2 tsp
b. 135 pitches per 45 strikes
c. 128 miles per 4 hours
We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is 
. The graph of the function does not show a phase shift. We are asked to write the equation of our function.
We know that general form a cosine function is 
, where,
A = Amplitude,
= Period,
c = Horizontal shift,
d = Vertical shift.
The equation of parent cosine function is 
. Since function is reflected about x-axis, so our function will be 
.
Let us find the value of b.
Upon substituting our given values in general cosine function, we will get:
Therefore, our required function would be .
Answer: the lower limit is 1.555g and the upper limit is 1.564g
Step-by-step explanation:
a mg is:
1mg = 0.001g
Then we need to look at the third digit after the decimal point.
Then the weight 1.56g is rounded around this.
Remember that if the third digit after the decimal point is 5 or bigger, then we round up.
if the third digit is smaller than 5, then we round down.
Now, the maximum possible value of this weight is when the third digit is equal to 4 (4 mg) where because it is smaller than 5, we round it down to 1.56g
Then the maximum is 1.564g
And the minimum value is when we have:
w = 1.555g
Because the third digit is a 5, we round it up to 1.56g.
So the lower limit is 1.555g and the upper limit is 1.564g
